الشامل لبرامج الكمبيوتر والاندرويد

Construction
Management
and Design of
Industrial Concrete
and
Steel StructuresConstruction
Management
and Design of
Industrial Concrete
and
Steel Structures
Mohamed A. El-Reedy, Ph.D.
Consultant Engineer
Cairo, Egypt
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my wife, and my children Maey, Hisham, and Mayar.vii
Contents
Preface ................................................................................................................... xix
Author................................................................................................................... xxi
1. Introduction.....................................................................................................1
2. Construction Management for Industrial Projects .................................5
2.1 Introduction ...........................................................................................5
2.2 Project Characteristics ..........................................................................5
2.3 Project Life Cycle ...................................................................................8
2.3.1 Feasibility Study ..................................................................... 10
2.3.2 FEED (Preliminary) Engineering ........................................ 11
2.3.3 Detail Engineering................................................................. 14
2.3.4 Design Management.............................................................. 16
2.3.5 Execution Phase ..................................................................... 17
2.3.6 Commissioning and Start-Up .............................................. 17
2.4 Is This Project Successful? ................................................................. 18
2.5 Project Management Tasks ................................................................ 18
2.6 Project Manager Skill .........................................................................20
2.7 Project Planning ..................................................................................20
2.7.1 Who Will Make the Plan? .....................................................22
2.7.2 Where Do You Start the Plan? ..............................................23
2.7.3 Work Breakdown Structure ..................................................26
2.8 Responsibilities of the Planning Team.............................................27
2.9 Estimating Time Required for an Activity ......................................28
2.9.1 Calculating Time Required for an Activity .......................30
2.9.2 Time Schedule Preparation ..................................................30
2.9.3 Arrow Diagram ...................................................................... 31
2.9.4 Precedence Diagram .............................................................. 32
2.9.5 Gantt Chart ............................................................................. 32
2.9.6 Critical Path Method .............................................................33
2.9.7 Program Evaluation and Review Technique .....................34
2.9.8 Example...................................................................................35
2.9.9 Applications for the PERT Method .....................................36
2.9.9.1 Statistical Calculation of Activity Time ..............38
2.9.9.2 Example ...................................................................38
2.10 Cost Management ...............................................................................39
2.10.1 Cost Estimate ..........................................................................39
2.10.2 Cost Types ............................................................................... 41
2.10.3 Construction Cost Estimate ..................................................42
2.10.4 Steel Structure Cost Estimate ...............................................44viii Contents
2.10.5 Detailed Cost ..........................................................................46
2.10.6 Tendering Cost Estimate .......................................................46
2.10.7 Cost Estimate to Project Control ..........................................46
2.10.8 Economic Analysis of Project Cost ......................................47
2.10.8.1 Work Breakdown Structure ..................................47
2.10.8.2 Organization Breakdown Structure ....................48
2.10.8.3 OBS and WBS Matrix .............................................48
2.10.8.4 Work Packages ........................................................48
2.10.8.5 Cost Control ............................................................50
2.10.8.6 The Cost Curve ....................................................... 52
2.10.9 Cash Flow Calculation ..........................................................55
2.10.9.1 Cash Flow during the Project ...............................56
2.10.9.2 Impact on Increasing Cost ....................................57
2.10.9.3 Project Late Impact .................................................58
2.10.9.4 Impact of Operation Efficiency.............................58
2.11 Project Risk Management ..................................................................59
2.11.1 Project Risks ...........................................................................60
2.11.2 Risk Assessment..................................................................... 61
2.11.3 Defining Risk Using Quantitative Risk Assessment ........ 62
2.11.4 Qualitative Risk Assessment ................................................64
References .......................................................................................................66
3. Loads on Industrial Structures.................................................................. 67
3.1 Introduction ......................................................................................... 67
3.2 Loads..................................................................................................... 67
3.2.1 Dead Load ...............................................................................68
3.2.1.1 General Design Loads ...........................................68
3.2.1.2 Pipe Rack .................................................................75
3.2.1.3 Ground-Supported Storage Tank Loads ............. 76
3.2.2 Live Loads ...............................................................................77
3.2.3 Wind Loads .............................................................................78
3.2.3.1 Basic Wind Load Formula .....................................78
3.2.3.2 Wind Loads on Pipe Racks and
Open-Frame Structures ......................................... 81
3.2.4 Earthquake Loads ................................................................ 103
3.2.4.1 Design Spectral Response Acceleration
Parameters............................................................. 104
3.2.4.2 Architectural, Mechanical, and Electrical
Components Systems ........................................... 104
3.2.4.3 HVAC Ductwork .................................................. 107
3.2.4.4 Piping Systems ...................................................... 108
3.2.4.5 Boilers and Pressure Vessels ............................... 109
3.2.4.6 General Precaution ............................................... 109
3.2.4.7 Building and Nonbuilding Structures .............. 109
3.2.4.8 Flexibility of Piping Attachments ...................... 114Contents ix
3.2.4.9 Design Review for Seismic Loads ...................... 115
3.2.5 Impact Loads ........................................................................ 116
3.2.6 Thermal Loads ..................................................................... 116
3.2.7 Bundle Pull Load ................................................................. 117
3.2.8 Ice Loads ................................................................................ 118
3.2.8.1 Site-Specific Studies ............................................. 118
3.2.8.2 Loads due to Freezing Rain ................................ 119
3.2.8.3 Design Ice Thickness for Freezing Rain ........... 120
3.2.8.4 Wind on Ice-Covered Structures ....................... 120
3.3 Load Combinations .......................................................................... 120
3.3.1 Load Combinations ............................................................. 121
3.3.1.1 Vertical Vessels .....................................................125
3.3.1.2 Horizontal Vessels and Heat Exchangers .........125
3.3.1.3 Pipe Rack and Pipe Bridge Design .................... 126
3.3.1.4 Ground-Supported Storage Tank Load
Combinations........................................................ 126
3.3.2 Test Combinations ............................................................... 126
References ..................................................................................................... 127
4. Design of Foundations for Vibrating Equipment................................ 129
4.1 Introduction ....................................................................................... 129
4.2 Machine Requirements .................................................................... 129
4.3 Foundation Design Guidelines ....................................................... 130
4.3.1 Trial Foundation Sizing Guidelines .................................. 130
4.3.2 Foundation Dynamic Analysis .......................................... 132
4.3.3 Soil Parameter ...................................................................... 134
4.4 Vibration Isolation ............................................................................. 146
4.4.1 Isolating Liners ..................................................................... 147
4.4.2 Spring and Rubber Mounts ................................................ 147
4.4.3 Inertia Block Bolt or Pad Mounting Bolt Installation ..... 148
4.4.4 Grouting ................................................................................ 149
4.5 Design Checklist ............................................................................... 151
References ..................................................................................................... 151
5. Storage Tank Design.................................................................................. 153
5.1 Introduction ....................................................................................... 153
5.2 Concrete Storage Tanks .................................................................... 153
5.2.1 Rectangular Wall—Concrete ............................................. 155
5.2.2 Circular Tank ........................................................................ 158
5.3 Retaining Wall ................................................................................... 161
5.3.1 Preliminary Retaining Wall Dimensions ......................... 162
5.3.1.1 Check Stability against Overturning ................ 162
5.3.1.2 Check Stability against Sliding .......................... 164
5.3.1.3 Check Stability against Bearing Capacity ........ 164
5.4 Steel Storage Tank ............................................................................. 167x Contents
5.4.1 Tank Capacity ....................................................................... 167
5.4.2 Bottom Plates ........................................................................ 168
5.4.3 Annular Bottom Plates ........................................................ 169
5.4.4 Shell Design .......................................................................... 170
5.4.4.1 Allowable Stress ................................................... 171
5.4.4.2 Calculation of Thickness by the
1-Foot Method ....................................................... 171
5.4.4.3 Calculation of Thickness by the VariableDesign-Point Method ........................................... 172
5.4.5 Roof System .......................................................................... 175
5.4.5.1 Allowable Stresses ................................................ 177
5.4.5.2 Supported Cone Roofs ......................................... 177
5.4.5.3 Self-Supporting Cone Roofs................................ 179
5.4.5.4 Self-Supporting Dome and Umbrella Roofs ..... 179
5.4.6 Tank Design Loads .............................................................. 180
5.4.7 Load Combination ............................................................... 182
5.4.8 Design Basis for Small Tanks ............................................. 182
5.4.9 Piping Flexibility .................................................................. 185
5.4.10 Differential Settlement Tank Bottom Designs ................. 186
5.5 Ring Beam Design Consideration................................................... 187
5.5.1 Wind and Earthquake Stability and Pressures ............... 191
5.5.2 Earthquake Stability ............................................................ 191
5.5.3 Soil Bearing ........................................................................... 191
5.5.4 Soil Pressure (Uplift Is Present) ......................................... 192
5.5.5 Concrete Ring Beam Design .............................................. 193
5.5.6 Ring Wall Reinforcement .................................................... 194
References ..................................................................................................... 198
6. Static Equipment Foundation Design .................................................... 199
6.1 Introduction ....................................................................................... 199
6.2 Design Procedure .............................................................................. 199
6.2.1 Dead Loads ........................................................................... 199
6.2.2 Live Loads ............................................................................. 201
6.2.3 Wind Loads ........................................................................... 201
6.2.4 Earthquake Loads ................................................................ 201
6.2.5 Bundle Pull Load (Exchangers) ......................................... 202
6.2.6 Thermal Forces ..................................................................... 202
6.2.7 Load Combinations .............................................................206
6.3 Anchor Bolts ......................................................................................206
6.4 Slide Plates .........................................................................................206
6.5 Pier Design .........................................................................................208
6.5.1 Anchorage Considerations .................................................208
6.5.2 Reinforcement for Piers .......................................................208
6.6 Foundation Design ............................................................................209
6.6.1 Foundation Reinforcement ................................................. 210Contents xi
6.6.1.1 Bottom Reinforcement ......................................... 210
6.6.1.2 Top Reinforcement ............................................... 211
6.7 Example: Heat Exchanger Data ....................................................... 214
6.7.1 Design Data .......................................................................... 214
6.7.2 Design Criteria ..................................................................... 214
6.7.3 Loads Calculation ................................................................ 215
6.7.4 Design Elements ................................................................... 217
6.7.4.1 Size Steel Slide Plate ............................................. 217
6.7.4.2 Pier Size ................................................................. 218
6.7.4.3 Pier Design ............................................................ 218
6.7.4.4 Footing Size ........................................................... 221
6.7.4.5 Footing Design .....................................................230
6.8 Separator Design Example ...............................................................233
6.8.1 Design Data ..........................................................................233
6.8.2 Loads Calculation ................................................................235
6.8.3 Design Elements ...................................................................236
6.9 Vertical Vessel Foundation Design .................................................238
6.9.1 Dead Loads ...........................................................................238
6.9.2 Pedestal Design .................................................................... 241
6.9.3 Footing Design .....................................................................244
6.9.4 Soil Bearing on the Octagon Footing ................................244
6.9.5 Check Stability and Sliding ................................................ 249
6.9.6 Check for Foundation Sliding ............................................250
6.9.7 Reinforced Concrete Design ...............................................250
6.9.7.1 Top Reinforcement ............................................... 251
6.9.7.2 Shear Consideration ............................................. 251
6.10 Example for Vertical Vessel .............................................................253
6.10.1 Design Data ..........................................................................253
6.10.2 Pedestal Design ....................................................................254
6.10.3 Anchor Bolt Check ...............................................................255
6.10.4 Footing Design .....................................................................256
6.11 Pipe Support ......................................................................................259
References .....................................................................................................263
7. Steel Structures in Industry .....................................................................265
7.1 Introduction .......................................................................................265
7.2 Stress–Strain Behavior of Structural Steel .....................................265
7.3 Design Procedure ..............................................................................266
7.3.1 Tension Members ................................................................. 267
7.3.1.1 Slenderness Ratio .................................................268
7.3.2 Compression Members ....................................................... 271
7.3.2.1 Steps of Preliminary Design ............................... 271
7.3.3 Beam Design ......................................................................... 281
7.3.3.1 Lateral Torsion Buckling .....................................283
7.3.3.2 Allowable Deflection............................................285xii Contents
7.3.4 Design of Beam Column Member (Allowable
Stress Design) .......................................................................290
7.3.5 Design of Beam Column Member (LRFD) ....................... 292
7.4 Steel Pipe Rack Design ..................................................................... 295
7.4.1 Pipe Rack Design Guide ..................................................... 295
7.4.2 Pipe Rack Superstructure Design ...................................... 296
7.4.2.1 Structural Steel Expansion .................................. 297
7.5 Stairway and Ladders .......................................................................302
7.5.1 Stairways...............................................................................302
7.5.2 Handrails and Railings .......................................................304
7.6 Crane Supports ..................................................................................304
7.7 Connections .......................................................................................304
7.7.1 Bolts........................................................................................305
7.7.2 Welding .................................................................................309
7.7.2.1 Welding Symbols ..................................................309
7.7.2.2 Strength of Welds ................................................. 311
7.7.2.3 Welding in Existing Structures .......................... 313
7.7.3 Connection Design .............................................................. 313
7.7.4 Base Plate Design ................................................................. 320
7.8 Anchor Bolt Design ........................................................................... 321
7.8.1 Anchor Bolts, Nuts, and Washers ...................................... 321
7.8.1.1 Anchor Bolts .......................................................... 321
7.8.1.2 Washers.................................................................. 321
7.8.1.3 Sleeves....................................................................322
7.8.2 Anchor Bolt Plate Design .................................................... 324
7.8.3 Coatings and Corrosion ...................................................... 324
7.8.4 Bolt Types, Details, and Layout ......................................... 325
7.8.4.1 Anchor Bolt Projection ........................................ 326
7.8.4.2 Edge Distance ....................................................... 327
7.8.4.3 Embedment Depth ............................................... 328
7.8.5 Calculation of Vessel Anchor Bolts ................................... 328
7.8.6 Anchor Bolt Strength Design .............................................330
7.8.6.1 Ultimate Strength Design ................................... 331
7.8.6.2 Allowable Stress Design ...................................... 331
7.8.6.3 Calculate Required Embedment Length .......... 332
7.8.7 Anchor Design Considerations ..........................................333
7.8.8 Pretensioning ........................................................................334
References .....................................................................................................334
8. Assessment of Existing Structures ......................................................... 337
8.1 Introduction ....................................................................................... 337
8.2 Preliminary Inspection ....................................................................338
8.2.1 Collecting Data .....................................................................338
8.2.2 Visual Inspection .................................................................340
8.2.2.1 Plastic Shrinkage Cracking ................................. 341Contents xiii
8.2.2.2 Settlement Cracking .............................................343
8.2.2.3 Drying Shrinkage .................................................344
8.2.2.4 Thermal Stresses ..................................................345
8.2.2.5 Chemical Reaction ................................................346
8.3 Detailed Inspection ...........................................................................346
8.3.1 Methods of Structure Assessment ....................................347
8.3.2 Concrete Test Data ...............................................................348
8.3.2.1 Core Test ................................................................348
8.3.2.2 Rebound Hammer ................................................353
8.3.2.3 Ultrasonic Pulse Velocity ....................................354
8.3.2.4 Inherent Variations in In Situ Strength ............. 357
8.3.2.5 Comparison between Different Tests ................358
8.3.3 Sources of Concrete Failure ................................................359
8.4 Test Methods for Corroded Steel in Concrete ...............................360
8.4.1 Manual Method ....................................................................360
8.4.2 Concrete Cover Measurements .......................................... 361
8.4.3 Half-Cell Potential Measurements ....................................363
8.4.4 Electrical Resistivity Measurement ...................................365
8.4.5 Measurement of Carbonation Depth ................................ 367
8.4.6 Chloride Test ......................................................................... 367
8.5 Structure Evaluation Technique ..................................................... 369
8.5.1 Case Study One: Structural Evaluation ............................ 369
8.5.2 Case Study Two: Structural Assessment .......................... 370
8.5.3 Case Study Three: Structural Assessment ....................... 372
8.5.4 Case Study Four: Structural Assessment ......................... 373
8.6 Structural Assessment ...................................................................... 373
References ..................................................................................................... 374
9. Methods of Protecting Foundations from Corrosion..........................377
9.1 Introduction .......................................................................................377
9.2 Corrosion Inhibitor ........................................................................... 378
9.2.1 Anodic Inhibitors ................................................................. 378
9.2.2 Cathodic Inhibitor ................................................................ 379
9.3 Epoxy Coating of Steel Reinforcement ..........................................380
9.4 Galvanized Steel Bars .......................................................................382
9.5 Stainless Steel ....................................................................................384
9.6 Fiber Reinforcement Bars .................................................................385
9.7 Protecting Concrete Surfaces .......................................................... 387
9.7.1 Sealers and Membranes ...................................................... 387
9.7.1.1 Coating and Sealers .............................................388
9.7.1.2 Pore Lining ............................................................388
9.7.1.3 Pore Blocking ........................................................389
9.7.2 Cathodic Protection by Surface Painting..........................389
9.8 Cathodic Protection System .............................................................390
9.8.1 Cathodic Protection ............................................................. 391xiv Contents
9.8.2 Cathodic Protection Components and
Design Consideration .......................................................... 393
9.8.2.1 Source of Impressed Current .............................. 394
9.8.2.2 Anode System ....................................................... 394
9.8.2.3 Conductive Layer ................................................. 396
9.8.2.4 Precaution in Anode Design ............................... 396
9.8.2.5 Follow-Up Precaution .......................................... 397
9.8.3 A Comparison between Cathodic Protection and
Other Methods ..................................................................... 398
9.8.4 Cathodic Protection for the Prestressed Concrete ..........399
9.8.5 Bond Strength in Case of Cathodic Protection ................400
References ..................................................................................................... 401
10. Repair of Industrial Structures ...............................................................403
10.1 Introduction .......................................................................................403
10.2 Main Steps to Execute Repair ..........................................................404
10.2.1 Strengthening the Structure ...............................................405
10.2.2 Removal of Concrete Cracks ..............................................406
10.2.2.1 Manual Method ....................................................408
10.2.2.2 Pneumatic Hammer Methods ............................408
10.2.2.3 Water Jet .................................................................409
10.3 Cleaning the Concrete Surface and Steel Reinforcement ............409
10.3.1 Concrete................................................................................. 410
10.3.2 Cleaning the Steel Reinforcement Bars ............................ 411
10.4 New Patches of Concrete ................................................................. 414
10.4.1 Polymer Mortar .................................................................... 414
10.4.2 Cement Mortar ..................................................................... 415
10.5 Execution Methods ........................................................................... 415
10.5.1 Manual Method .................................................................... 415
10.5.2 Casting Way at the Site ........................................................ 415
10.5.2.1 Grouted Preplaced Aggregate ............................ 416
10.5.2.2 Shotcrete ................................................................ 416
10.5.3 Complete Member Casting ................................................. 417
10.6 Repair Steps ....................................................................................... 418
10.7 New Methods for Strengthening Concrete Structures................ 418
10.8 Using Steel Sections ..........................................................................420
10.9 Fiber-Reinforced Polymer ................................................................423
10.9.1 CFRP Types ...........................................................................425
10.9.2 Application on Site ...............................................................425
10.10 General Precaution............................................................................427
References .....................................................................................................428
11. Economic Study for Maintenance Plan.................................................. 431
11.1 Introduction ....................................................................................... 431
11.2 Basic Rules of Cost Calculation .......................................................432Contents xv
11.2.1 Present Value Method .........................................................433
11.3 Repair Time ........................................................................................433
11.3.1 Capacity Loss in Reinforced Concrete Sections ..............435
11.3.2 Required Time to Corrosion ...............................................437
11.3.3 Time Required to Deterioration .........................................438
11.4 Repair and Inspection Strategy and Optimization ......................439
11.4.1 Repair .....................................................................................441
11.4.2 Expected Total Cost .............................................................441
11.4.3 Optimization Strategy .........................................................442
11.5 Maintenance Plan..............................................................................445
11.5.1 Assessment Process .............................................................445
11.5.2 RBI Maintenance Plan .........................................................449
11.5.3 RBI Plan for Offshore Structures ....................................... 451
11.5.3.1 Risk Matrix ............................................................ 452
11.5.3.2 Development of Likelihood ................................453
11.5.3.3 Development of Consequence ............................455
11.5.3.4 Inspection Planning for Offshore Structure .... 457
References .....................................................................................................458
12. Overview of Fixed Offshore Structures ................................................ 461
12.1 Introduction ....................................................................................... 461
12.2 Types of Offshore Platforms ............................................................ 462
12.2.1 Fixed Offshore Platforms .................................................... 462
12.2.1.1 Drilling or Well Protector Platforms ................. 462
12.2.1.2 Tender Platforms .................................................. 462
12.2.1.3 Self-Contained Platforms ....................................463
12.2.1.4 Production Platform.............................................463
12.2.1.5 Quarters Platform ................................................463
12.2.1.6 Flare Jacket and Flare Tower ..............................463
12.2.1.7 Auxiliary Platform ...............................................463
12.2.1.8 Catwalk..................................................................464
12.2.1.9 Heliport..................................................................464
12.2.2 Concrete Gravity Platforms ................................................464
12.2.3 Floating Production, Storage, and Offloading .................465
12.2.4 Tension Leg Platforms ......................................................... 467
12.3 Major Steps in Constructing an Offshore Structure ....................468
12.4 Offshore Platform Design Overview ............................................. 470
12.4.1 Loads...................................................................................... 470
12.4.1.1 Gravity Load ......................................................... 470
12.4.1.2 Impact Load ..........................................................472
12.4.1.3 Wind Load .............................................................472
12.4.1.4 Wave Load ............................................................. 475
12.4.1.5 Comparison between Wind and Wave
Calculation ............................................................ 479
12.4.1.6 Current Loads ....................................................... 479xvi Contents
12.4.1.7 Earthquake Load ..................................................480
12.4.1.8 Other Loads ...........................................................480
12.4.2 Platform Configuration .......................................................482
12.4.3 Approximate Design Dimensions .....................................484
12.4.4 Topside Structures ...............................................................484
12.4.5 Jacket Design ........................................................................484
12.4.6 Bracing System .....................................................................485
12.4.7 In-Place Structure Analysis ................................................488
12.4.8 Dynamic Structure Analysis ..............................................489
12.4.9 Tubular Joint Design ............................................................ 491
12.4.9.1 Tubular Joint Calculation .................................... 491
12.4.9.2 Tubular Joint Punching Failure .......................... 493
12.4.10 Fatigue Analysis ................................................................... 493
12.4.11 Boat Landing ........................................................................ 495
12.4.11.1 Calculation of Collison Force ............................ 496
12.4.11.2 Cases of Impact Load ......................................... 498
12.4.11.3 Cases of Impact Load .........................................500
12.5 Design Quality Control .................................................................... 501
12.6 Construction Procedures ................................................................. 501
12.6.1 Engineering of Execution ...................................................505
12.6.2 Fabrication.............................................................................506
12.6.2.1 Joint Fabrication ....................................................506
12.6.3 Jacket Assembly ...................................................................507
12.6.4 Jacket Erection ......................................................................508
12.6.5 Loads from Transportation, Launch, and Lifting
Operations.............................................................................509
12.6.6 Lifting Forces ........................................................................ 511
12.6.7 Loadout Forces ..................................................................... 512
12.6.8 Transportation Forces .......................................................... 512
12.6.9 Launching and Upending Forces ...................................... 518
12.6.10 Installation ............................................................................ 519
References ..................................................................................................... 520
13. Soil Investigation and Pile Design ......................................................... 521
13.1 Introduction ....................................................................................... 521
13.2 Soil Exploration Methods.................................................................522
13.2.1 Planning the Program .........................................................522
13.2.2 Organization of Fieldwork ................................................. 523
13.2.3 Soil Boring Methods ............................................................ 525
13.2.3.1 Wash Borings ........................................................ 526
13.2.3.2 Sampling Methods ............................................... 526
13.2.3.3 Spacing of Borings................................................ 527
13.2.3.4 Boring Depth......................................................... 527
13.2.3.5 Boring Report ........................................................ 528
13.2.4 Standard Penetration Test ................................................... 528Contents xvii
13.2.5 Cone Penetration Tests ........................................................530
13.2.6 Vane Test ............................................................................... 531
13.2.7 Cross-Hole Test ..................................................................... 532
13.2.7.1 Body Waves ...........................................................535
13.2.7.2 Surfaces Waves .....................................................535
13.3 Deep Foundation ...............................................................................535
13.3.1 Timber Piles .......................................................................... 537
13.3.2 Steel Piles...............................................................................538
13.3.3 Concrete Piles .......................................................................538
13.3.4 Precast and Prestressed Piles ............................................. 539
13.3.5 Pile Caps ................................................................................ 541
References .....................................................................................................543
Index .....................................................................................................................545xix
Preface
The development of any country depends on the rate of industrial growth.
Currently, there is a race in industrial projects worldwide. The development
of the industry depends on the development of the energy reserve by investment in projects of oil and gas exploration, onshore and offshore, which
require new facilities or rehabilitation of existing facilities. At the same time,
there are projects that are running in parallel to deliver electricity from electrical power stations or through nuclear power plants.
In this book, the term industrial structures means all the reinforced concrete
and steel structures from a small factory to a nuclear plant. This book will
be an overview of industrial project management, design, construction, and
eventually providing a maintenance plan. Industrial projects, in most cases,
are huge and can cost a billion dollars for one project, so the client, engineering firm, and contractor are in the same boat until they achieve project
success through a strong management system and technical competence.
Therefore, this book discusses all items that interface among these main
three partners.
In these types of projects, all the engineering disciplines are working
together, but, unfortunately, the structural or civil engineers are usually the
last ones to obtain the exact data from the other disciplines and the first ones
to start on site. Therefore it is a challenge for the structural engineers to work
fast and efficiently in this type of project.
This book focuses on the structural engineering of all of these projects.
The aim of this book is to provide up-to-date methodology and industry
technical practice and guidelines to design, construct, and maintain the
reinforced concrete and steel structures in these industrial projects. The
essential processes of protection, repair, and strengthening of the industrial
structures necessitated by deterioration or a change in the mode of operation
are illustrated in this book. It is intended to be a guidebook to junior and
senior engineers who work in design, construction, repair, and maintenance
of reinforced concrete and steel structures and to assist them through all of
the stages of industrial projects.
The other challenge that faces structural engineers is that most of the
undergraduate courses they studied in college focused mainly on real estate
projects and housing. However, the characteristics of industrial projects are
different. This book provides a guide for the project and construction manager to lead the project and to successfully achieve the owner’s requirements.
On the other hand, from a technical point of view, this book describes the
first principle of the codes and standards that are usually used in industrial
projects and the most applicable methods used in the design of the steel and
reinforced concrete structures that serve the static equipment, tanks, towers,xx Preface
and vibrating equipment. This book describes current research and development in the design, construction, repair, and maintenance philosophy.
An overview of offshore structure design and construction is very important and provides the tools to check the design and to control the project in
all of its phases. Recently, there is a trend toward maintaining the reliability
of the structure from both safety and economic points of view by developing
the structural integrity management system, which will also be a part of this
book.
The last chapter describes the soil investigation tests that are essential
to the industrial projects and provides the main key to selecting the most
reasonable type of test and also the main features for the pile foundation
design.
This book provides a practical guide to designing the reinforced concrete
and steel structures and foundations in industrial projects with the principle of repairing the concrete structures and the methodology to deliver a
maintenance plan for the concrete and steel structures serving onshore and
offshore facilities.
Mohamed Abdallah El-Reedy
Cairo, Egypt
elreedyma@gmail.comxxi
Author
Mohamed A. El-Reedy pursued a career in structural engineering. His main area of research is
the reliability of concrete and steel structures. He
has been a consultant to different engineering
companies and oil and gas industries in Egypt
as well as international companies such as the
International Egyptian Oil Company (IEOC) and
British Petroleum (BP). Moreover, he provides different concrete and steel structure design packages
for residential buildings, warehouses, telecommunication towers, and electrical projects with
WorleyParsons Egypt. He has participated in
Liquefied Natural Gas (LNG) and Natural Gas Liquid (NGL) projects with
international engineering firms. Currently, Dr. El-Reedy is responsible for
reliability, inspection, and maintenance strategy for onshore concrete structures and offshore steel structure platforms. He has performed these tasks
for hundreds of structures in the Gulf of Suez and in the Red Sea.
Dr. El-Reedy has consulted with and trained executives for many organizations, including the Arabian American Oil Company (ARAMCO), BP,
Apache, Abu Dhabi Marine Operating Company (ADMA), the Abu Dhabi
National Oil Company, King Saudi’s Interior Ministry, Qatar Telecom, the
Egyptian General Petroleum Corporation, Saudi Arabia Basic Industries
Corporation (SAPIC), the Kuwait Petroleum Corporation, and Qatar Petrochemical Com pany (QAPCO). He has taught technical courses on repair and
maintenance for reinforced concrete structures and advanced materials in
the concrete industry worldwide, especially in the Middle East, Malaysia,
and Singapore.
Dr. El-Reedy has written numerous publications and presented many
papers at local and international conferences sponsored by the American
Society of Civil Engineers, the American Society of Mechanical Engineers,
the American Concrete Institute, the American Society for Testing and
Materials, and the American Petroleum Institute. He has published many
research papers in international technical journals and has authored four
books about total quality management, quality management and quality assurance, economic management for engineering projects, and repair
and protection of reinforced concrete structures. He received his bachelor’s
degree from Cairo University in 1990, his master’s degree in 1995, and his
PhD from Cairo University in 2000.1
1
Introduction
Civilization and development in most countries depend on the sources of
energy that feed all the industrial projects. At this time, the main sources
of energy have been oil and gas. Therefore, oil and gas projects are critical
from both safety and economic points of view. The petroleum industry is
one of the richest in the world, so there is much research and development
in this area to enhance the design, construction, and management of these
projects.
Industrial projects have different characteristics from both management
and technical points of view; for example, time is more important than cost.
This principle differs from other projects. In addition, the industrial projects depend on different types of machines, cranes, vessels, tanks, and other
specific equipment for each type of industry. These projects require concrete
and steel structures for their equipment, which requires a special design
procedure and philosophy, as these structures are at times under the effects
of dynamic loading. Most industrial projects are located onshore, but many
oil and gas projects have facilities and structures offshore and near-shore for
activities such as exploration and loading of ships.
Management is critical to solving the interface between the different engineering disciplines that will work together in the engineering office and onsite. The electrical, mechanical, instrument, and civil engineers are focused
on their concerns only, so the main challenge to management in any phase is
to resolve conflict and create and maintain harmony among the team members to successfully complete the project in terms of time, cost, and quality.
Management of the projects is the main key to success. Imagine that you
have very skilled team members but their objectives are not clear, there is
conflict between members and a lack of cooperation. You cannot expect the
project to be successful. The main tools and skills for construction management are discussed from a practical point of view in Chapter 2, as well as
how to build teamwork and increase and monitor team performance in a
professional manner.
In any university that graduates civil and structural engineers, most courses
focus on the design of regular buildings for housing and real estate projects
and their codes and standards. Industrial projects—such as oil, gas, and
electrical power—have their own codes, standards, and concepts. The main
differences are related to the loads that affect the structure in industrial projects. Chapter 3 defines the loads affecting the industrial project including the
common codes, standards, and technical practices that are traditionally used2 Construction Management and Design of Industrial Concrete and Steel Structures
in these types of projects. This chapter illustrates the required data from
electrical and mechanical engineers and how the mode of operation influences the design load parameters. Moreover, in the case of a new plant in a
new location that is outside of any major cities—as is usually true of oil and
gas plant facilities—there are some data required from third parties such as
MetOcean data (in the case of offshore or near-coast facilities) or information
necessary to define the hazard area in case of earthquake. This chapter discusses in detail the loads affecting concrete and steel and their nature and
how the designer can define the scope of the work professionally to a third
party and thereby obtain useful data.
The main equipment in any industrial project is rotating equipment such
as compressors, pumps, and power turbines. This type of equipment requires
special precautions in the methodologies of design and construction, which
will be discussed in Chapter 4.
It is traditional in these types of projects to use tanks. Chapter 5 provides
the necessary guidelines and features in designing the reinforced concrete
tanks that are usually used in this industry. It is common in the case of oil
and gas that the steel tanks are designed by the static equipment designer.
The key element are the mechanical valves with the instrumentation system that monitors and controls the levels. In minor cases, the tanks will be
designed by structural engineers.
In Chapter 5, the main element of design of these steel tanks is discussed,
emphasizing the essential precaution required during construction. The
design of the reinforced concrete ring beam under the steel tank is discussed
using a real example. In the industrial plant, there are usually retaining
walls, and in most cases, these walls are located around the tanks as a safety
requirement in case of a tank leak. Hence, the design of retaining walls is
also presented in this chapter.
The static equipment such as the separators, steel towers, knock-out
drums, and heaters are designed by static equipment specialist engineers,
and they also provide the required data to design the foundations under
this type of equipment. The design of these foundations will be illustrated in
Chapter 6 by defining the data and the philosophy of operation of each piece
of equipment.
Steel structures are usually used in industrial projects because they can be
erected quickly and because of their capital cost value over time. The structures’ requirements for maintenance and protection are easily met in industry as there is usually a professional crew available to conduct maintenance
and ensure structural integrity over time.
In the case of the steel structures for pipe racks, some precautions are
required when choosing the structure system and estimating how the loads
from pipes and electrical cable trays will affect the structures. All these factors are discussed in Chapter 7. All steel structures and static equipment
will be fixed to the concrete foundations by anchor bolts. The design of these
anchor bolts will also be illustrated in detail in this chapter.Introduction 3
In general, industrial projects experienced fast growth after World War
II, and after the mid-1950s, there was also fast growth in oil production
worldwide. As a result, there are now many mature facilities worldwide, and
therefore, it is usually required to assess the steel and concrete structures to
define any problems and determine if the structures can accommodate the
existing load.
In some cases, there are changes in the mode of operation or a need to
install a new piece of heavy equipment, so it is necessary to evaluate and
assess the existing structure to determine if it can carry the heavier load.
The method for evaluating the existing structures in industrial plants will
be discussed in Chapter 8.
Chapter 9 presents the method for protecting the foundations under the
equipment and the main reinforced concrete structures from corrosion, as
most of the facilities are near the shoreline. Factories located inside cities are
subject to the effects of carbonation, so the advantages and disadvantages of
each type of protection against each cause of corrosion are discussed from
both technical and economic viewpoints.
The processes of repairing the reinforced concrete structures and strengthening their members to resist higher loads are presented in Chapter 10. The
methods of repair are chosen based on their fast application. Aesthetics is
not a main concern, as we are not working in a shopping mall or hotel building. Repair and strengthening will involve using steel sections or carbon
fiber to reduce the risk as much as possible.
The integrity management system to maintain mature structures is the
most recent management policy that depends on risk-based inspection and
maintenance. Risk-based and underwater inspections in the case of offshore
structures are discussed in Chapter 11.
Chapter 12 discusses the offshore structures used in oil and gas projects
in shallow and deep water. The loads, features of design, and method for
reviewing the design of a fixed offshore structure will be illustrated. The
construction phase has special features as did the design phase. Therefore,
the steps of construction and the loads affecting the structure during transportation, lifting, and installation are presented from a practical point of
view.
Chapter 13 presents the geotechnical investigation tools and methods used
to obtain the required data necessary to design the foundation for static and
rotating equipment as well as the foundation for reinforced concrete and
steel structures. The geotechnical investigation and the design and construction of the piles are usually performed by a third party. This chapter provides a method for preparing a precise scope of work for the third party,
presenting the main concept of soil investigation and pile design, so that the
required accurate data may be obtained.5
2
Construction Management
for Industrial Projects
2.1 Introduction
The subject of project management has become one of the most common
themes in the recent past because of the increase in the number of megaprojects worldwide. The development of modern technology in all areas of
knowledge requires new methods of project management to cope with the
rapid advances.
The concept of the project is very different from how the daily routine
operation works; therefore, project management is different from the daily
activity of operation management. Most books and references that discuss
project management define the project as a number of tasks and duties to be
implemented during a specific period to achieve a specific objective or set of
specific targets.
To clarify the difference between project management and operations
management, think about what is going on in the minds of two managers.
The project manager’s dreams are about finishing the project on time and
about where he will relocate to after the completion of the project. This is
totally different from the thinking of the operation manager. He does not
dream about a stop of daily production, which is contrary to the project manager’s goal. Therefore, you can imagine the difference between the thinking
of the two mangers.
The first difference in the definition of project management, as opposed to
operation management, is that the goal is to finish the project within a certain time frame and simultaneously realize a set of objectives.
2.2 Project Characteristics
One of the most important features of the project is the selection of individuals from different locations in the same company. In some international6 Construction Management and Design of Industrial Concrete and Steel Structures
projects, the team members are from different countries, cultures, educations, and employment backgrounds, and all of these individuals have different skills. With all of those differences, they must still work together to
complete the work in a specific time and with a definite target.
The project manager has to coordinate between the members of the project to reach the project goal. As a result of the rapid development in modern technology, the specialty has become important. These days, any project
contains many different disciplines. An explicit example is a construction
project where there are separate teams for constructing the reinforcing concrete, finishing work, plumbing, and other activities. Every branch of the
construction activity has its own technology and skills. Therefore, the project manager has to facilitate cooperation between the different disciplines to
achieve the project objective.
The primary goal of the project manager is to complete the project, with
high quality, and achieve the objectives.
Any project has a main driver, and it is one of the two driving forces. In other
words, there are two philosophies in managing the project: one is cost-driven
and the other is time-driven. This driver is considered to be the underlying
philosophy in the management of the project, which must be determined by
the director of the project with other parties, as well as the official sponsor
of the project and the stakeholder. The project-driving philosophy should be
known to both the technical and administrative department managers.
To illustrate the effect of the two driving factors, we should think about all
types of projects that are running around us. We will find that, in some projects, reducing the cost is the major factor and time is the secondary factor,
as the increase in project duration time will not affect the project’s operation
phase. Put more precisely, it will not affect the owner and his investment.
Building houses, mosques, churches, museums, and other projects that have
a social aspect are examples of this.
On the other hand, there are some projects where reducing time to completion is the main challenge; this is a time-driven project. A clear example of
this is in the petroleum industry. For oil, gas, and petrochemical projects,
any day saved will be a gain of many millions of dollars per day as the production is measured by barrels of oil per day (BOPD) or million standard
cubic feet per day (MMSCFD). By multiplying that by the price of oil or gas,
you can calculate the income. For example, if the gain in production from the
project is 50,000 BOPD with an oil price of $40 per barrel, for every day saved,
the owner gains $2,000,000.
As illustrated, the main driver of the petroleum projects is time. So, the
main target of these projects is the reduction of the time to completion.
It is very important to define the basic driving force of a project, whether
it is cost or time, and all the staff working on the project should know this
information. This is the responsibility of the project manager. Any groups
or teams at work, both in design and execution, should provide proposals,Construction Management for Industrial Projects 7
recommendations, and action steps that are in line with the project driver,
whether that involves reducing time or cost.
It is necessary for the target to be clear to all involved to avoid time wasted
discussing ideas and suggestions that are not feasible. Imagine that you are
working on a housing project and one of the proposals from the engineers
is to use a rapid-setting concrete to reduce the time of construction but with
an increase in cost. Is this proposal acceptable? It certainly is not. On the
other side, in the case of the construction of an oil or gas plant or new offshore platform, one of the proposals is for the use of materials that are the
least expensive but that need time to be imported from abroad, which will
delay the project for some days. Is this proposal accepted? Of course, this
proposal is unacceptable. However, if we were to trade off each of these
proposals for the other, we will find that the two proposals are excellent
and acceptable.
When communication is lost between the project manager and personnel, there is a great deal of confusion; everyone works hard, but in different
directions, resulting in wasted effort and lack of success. Moreover, project
managers must also communicate with suppliers and contractors to ensure
that their proposals regarding supply materials and construction are within
the project-driven criteria. The project characteristics can be summarized as
follows:
•	 The project has a specific target.
•	 The project is unique and cannot be replicated with the same task
and resources giving the same results.
•	 The focus is on the owner’s requirements and expectations from the
project.
•	 It is not routine work, although there are some aspects that are
routine.
•	 The project consists of a number of associated activities contributing
to the project as a whole.
•	 There is a specific amount of time allowed to finish the project.
•	 The project is complex in that it involves a number of individuals
from different departments.
•	 The project manager must be flexible to accommodate any change
that might occur during the project.
•	 There are factors of uncertainty such as the performance of individuals, how their skills adapt to unfamiliar work, and other unknown
external influences.
•	 The total cost is defined and has a limited budget.
•	 The project presents unique opportunities to acquire new skills.8 Construction Management and Design of Industrial Concrete and Steel Structures
•	 The project gives impetus to the project manager to adapt to working under changing circumstances, as the nature of the project is
change.
•	 There are risks with each step of the project, and the project manager
should manage those risks to reach the project goal.
2.3 Project Life Cycle
The project definition is a set of activities with a specific start time and end
time. These activities vary from project to project depending on the nature
of the project. An example of this might be a cultural or social project, such
as a public education endeavor, or a civil project, such as the construction of
a residential building, hospital, road, bridge, or other industrial projects. In
our scope, we will focus on industrial projects.
The civil projects vary from one project to another, depending on the size
and value of the project. They can range from constructing a guard room to
constructing a nuclear plant; hence, the quality varies with the size of the
project, especially in developing countries.
In a small project, it might be sufficient to apply a quality control only
where small contracting companies or engineering offices are involved.
When the target involves global competition and increasing the quality will
increase the total cost of the project, quality control is often applied to the
structural safety of the building only.
In the case of a major project, there are many execution companies and
engineering offices working at the same time. Therefore, we must also take
into account that implementing quality assurance procedures is necessary
and vital as are the quality controls carried out in all phases of the project based on the project specifications. Each stage of a construction project
starts with a feasibility study, followed by preliminary studies of the project,
detailed studies, and, finally, execution. The operation crew will then receive
the project to run.
In all of these stages, there are many types of quality control required
to achieve a successful project that has benefits and appropriate return on
investment for the owner and all parties and participants. Figure 2.1 shows
the life cycle of any project. From this figure, it is clear that 5% of the project resources (time and cost) is expended on the feasibility study, 25% is
expended on the engineering designs, and the largest percentage of project
resources is expended in the execution phase.
As shown in Figure 2.1, after the feasibility study, a decision is required by
senior management on the question, “Will the project continue or be terminated?” Imagine a gate and, if the results of the feasibility study are positive,Construction Management for Industrial Projects 9
the project passes through to the next stage—the preliminary studies, which
will provide a more accurate assessment of the project. After those studies,
there is another gate and another decision required. If the answer is positive,
this gate will open and the project will move forward to the detailed engineering and construction phase.
At each phase or stage of the project, there are roles for the owner, the
contractor, and the consulting engineer, and each system has its own project
management approach. Every stage has its own characteristics and circumstances, and each involves change in the scope of work (SOW) for each of the
three involved parties and this should be clarified for each stage.
The characteristics of the project life cycle change from time to time. In
each period, the number of personnel on the project can change. For example, at the beginning of the project, the number of personnel is very small.
It increases with the number of activities being carried out and then gradually decreases until the end of the project. Figure 2.2 shows the changes in
the number of personnel in the project and notes that the project manager
should have the necessary skill to deal with the changes that occur during
the life cycle of the project (Figure 2.3).
Idea
Feasibility Study
Preliminary Engineering
Feed Engineering
Detailed Engineering
Execution
Start Operation
Go/No Go
Evaluate
Go/No Go
Decision for
Biggest Contract
FIGURE 2.1
Project life cycle.10 Construction Management and Design of Industrial Concrete and Steel Structures
2.3.1 Feasibility Study
Each phase of the project has different importance and impact on the project
as a whole and varies depending on the nature and circumstances of the
project and its value and target.
The feasibility study is the second phase after the emergence of the owner’s idea for the project. The owners of oil and gas projects are the geologist
First
Stage
Middle
Stage
Final
Stage
Crew
size
Time
FIGURE 2.2
Change in crew size during project lifetime.
Percentage of project completion
Commissioning
and startup
Execution
Phase
Define
Phase
Select
phase
Appraise
Time
FIGURE 2.3
Project life cycle phases.Construction Management for Industrial Projects 11
and the petroleum engineering team who base their ideas on oil and gas
reservoir characteristics.
The economic study for the project will be performed by high-level and
highly skilled personnel of the organization, as this study will include
expected fluctuations of the price for oil and gas and other petrochemical
products during the project life time. Their experience is based on what they
have done on similar projects before, as well as records kept and lessons
learned from previous projects.
In this initial phase, the selection of team members for the consultant’s
office is very important as they will perform the feasibility study for the
project. In some cases, there is input from an engineering firm that performs
a generic engineering study about the project and estimates the cost, based
on their experience.
The feasibility study phase, which is also called the appraise phase, is followed by the preliminary (FEED) study phase. These two phases are essential as they set the objective of the project and identify engineering ideas
through the initial studies. It is preferred to apply the Japanese proverb,
“Think slowly and execute quickly,” especially in the feasibility study stage.
At this stage, the goal of the project is defined and the economic feasibility of
any move is determined, as is the move’s direction.
For these reasons, we must take full advantage of this phase and its time,
effort, study, research, and discussions, with more attention to the economic
data. The economic aspect is important at this stage and the engineering
input is very limited.
2.3.2 FEED (Preliminary) Engineering
This stage is the second phase after the completion of the feasibility study
for the project.
This phase of preliminary engineering studies, which is known as FEED
engineering, is no less important than the first phase. It is one of the most
important and most critical stages in the engineering of the project because
the success of the project as a whole depends on the engineering study in
this phase. Therefore, as this stage is vital, the engineering consultancy firm
that will perform this study should have an extensive experience in these
types of projects.
Specifically, liquefied natural gas (LNG) is a type of project that requires
experienced personnel in this field. Another example is a project that uses
floating production, storage, and offloading (FPSO). It also requires a special consulting office that has worked on this type of project before. In the
case of small projects such as a residential or administrative building or a
small factory, the purpose of the FEED phase of engineering is to determine
the type of structure, whether it will be steel or concrete. If it is decided
to use a concrete structure, the engineer should define whether it will be
precast, prestress, or normal concrete and then determine if the type of slab12 Construction Management and Design of Industrial Concrete and Steel Structures
structure system will be solid slab, flat slab, hollow blocks, or another type.
This phase also defines the location of the columns and the structure system and whether the project will use a frame or shear wall for a high-rise
building.
In summary, the purpose of preliminary engineering is to provide a comparison between the alternatives that vary depending on the size of the
building and the requirements of the owner so that a reasonable structure
system and appropriate mechanical and electrical systems may be selected.
For this reason, this stage has recently been called the select phase.
In the case of major projects such as a petrochemical plant or new platforms, there will be other studies at this stage such as geotechnical studies, metocean studies, seismic studies, and environmental studies. The main
purpose of this phase is to provide the layout depending on the road design,
location of the building, and hazard area classification in the petroleum
projects. Moreover, it must select the foundation type, whether it is to be
a shallow foundation, or driven or rotary piles, based on the geotechnical
studies. In case of oil and gas projects, we need to carefully study the mode
of transfer and trade-offs of the product and select the appropriate method
of transfer between the available options.
Now, it is clear that, because of the seriousness of this stage and the need
for high-level experience, for large projects, the owner should have competent
engineers and an administrative organization with the ability to follow-up on
initial studies to achieve the goal of the project and coordination between the
various project disciplines such as civil, mechanical, electrical, and chemical
engineering, as all the disciplines usually intersect at this stage.
In general, regardless of the size of the project, the owner must be presented with the engineering requirements for the project through a statement of requirement (SOR) document, which must be highly accurate and
contain the objective of the project and the requirement from the owner. It
will also precisely identify the SOW. This document is the starting phase of
the mission document quality assurance system and must contain all information requested by the owner. The preparer must be experienced because
this document is relied upon to determine the outline of the whole project
and to contain all particulars of the project, its objectives, proposals, and the
required specifications of the owner.
This document also contains the available technical information from the
owner such as the location of the land, its coordinates, and its specifications.
This document will be a part of the contract document between the owner
and the engineering firm, and the engineering firm will provide cost, time,
and resources (CTR) sheets based on it.
In the case of projects such as gas or LNG, it is important to determine the
amount of gas, type, and other specifications needed to process and transfer
the gas with clarification of temperature, pressure, and all other technical
data that allows for the final product to be shipped or transported. Among
the most important data to be mentioned in the document is the projectConstruction Management for Industrial Projects 13
lifetime. Again, specifications required by the owner in the project should be
defined clearly and precisely in this document.
It should be noted that there will be regular meetings among the owner,
the technical team, and the consulting engineers responsible for the preparation of initial studies, and through these meetings, the SOR may be amended
several times. Each time, the document must contain the date and revision
number as well as all of the requirements—civil, architectural, electrical,
mechanical, and others—of the project. We should note here that, for quality assurance, all parties to the project must have a current version of the
document and everyone must work according to this document. It is also
important to determine the number of meetings and the exact schedule of
meetings required to reach the target.
An SOR document is not only required for new projects, but also for modifications to buildings or in the plant. Upon receipt of the SOR document in
the engineering office, another document is prepared to respond to the SOR.
This document is called the basis of design, and through it, the engineering
firm clarifies the code and engineering specifications that will operate in the
design as well as the calculation methods, theory, and computer software
that will be used. This document may also state the required number of copies of the drawings that will be sent to the owner and the sizes of those drawings. The engineering firm should also request any missing data and request
that a third party supplement any necessary information such as weather
and environmental factors. This document will be carefully reviewed by the
owner and can be amended many times until both parties are satisfied.
At this stage, it is important to make sure that both the owner and the
engineering firm have the same concept and that there is complete agreement among all parties about the technical aspects. Any drawings prepared
during the FEED studies should be delivered to the owner for review and
comment. The owner and the engineering firm should agree on the time
allotted for review of the document by the owner. If more time is taken than
allowed, it indicates owner acceptance. This is very important to control the
project time.
This phase may take a number of months in the case of large projects, and
therefore, the technical office of the owner must have a qualified engineer
with experience in controlling costs and ensuring that follow-up time conforms to the schedule agreed upon in advance. We may need an engineer
specialized in planning, called the planner engineer. This engineer should be
specialized in cost control, ensuring that the estimated cost of the project is
comparable to that in the feasibility study.
By monitoring the cost at each stage precisely, at the end of the project
the whole cost will be within the estimated value in the beginning of the
project.
In petroleum projects, where the return of income or expense is calculated
by the day, it is worth noting that any savings in time is a big return for the
owner.14 Construction Management and Design of Industrial Concrete and Steel Structures
The project site itself and the surrounding environment must be considered
to determine ways to protect it from weather and reduce the cost of maintenance over time by selecting different methods of maintenance. For example,
one way to protect the reinforced concrete foundation from corrosion is by
protecting the reinforcing steel with a cathodic protection system, which is
expensive at the beginning of the construction but allows periodic, low-cost
maintenance later. On the other hand, if we do not want to use an external
protection system, we can use a low-cost alternative during construction,
although this necessitates high-cost regular maintenance thereafter.
The structure, mode of operation, and maintenance plan all have an impact
on the preliminary design. For example, in power stations, we must ask
whether the water tank can be repaired, maintained, or cleaned. The answer
to this question includes a decision on whether the station needs additional
tanks as standbys for maintenance purposes.
In this phase, many other initial design decisions must be decided and,
therefore, as previously noted, the parties involved must have extensive
experience. An error at this stage could lead to a major problem in the future
during operation, when it will cost a lot of money to resolve. Situations like
that can be prevented at this stage by a low-cost solution.
2.3.3 Detail Engineering
At the end of this phase, the engineering office will deliver the full construction drawings and specifications for the whole project, which contain all the
details that enable the contractor to execute his function. In this phase, there
will be a huge number of engineering hours, so there must be good coordination between the different disciplines. This will happen if there is good
organization in the engineering office and if the client provides a free mode
of communication between the different parties through a system channel
with continuous coordination.
The complexity of this phase is such that it needs a quality system. Imagine
that you work in an ideal office where everyone’s duties are understood, no
person comes to work late, the work comes to you in an appropriate manner,
and no one ever lets you down. Do you work in an atmosphere like that right
now? I doubt it.
As engineers, we always believe that, in an ideal case, all of our lives
depend on accuracy. Teamwork does not have this accuracy and is not precise, as all of our experiences at work tell us. Discouraging and disheartening events happen daily, which often means that the work arrives late, in a
bad manner, or requires correction before you can complete your work in an
efficient manner.
Sometimes there will be changes made in your company or your office
without any prior notification to you. This presents obstacles and wastes
time. This is the basis of a quality assurance system. When people change,Construction Management for Industrial Projects 15
some change might occur in the cooperation between departments. This
varies depending on the performance of the managers and the impact they
have on work. A system of quality assurance is beneficial because it ensures
the basic functioning of all departments, regardless of personnel changes.
These problems often occur at a stage in the studies that requires extensive
and vital cooperation among the various departments of engineering (civil,
architectural, mechanical, and electrical departments).
When the managers of the departments of civil and mechanical engineering have a strong relationship, the work goes well, regular meetings are held,
and meetings and correspondence will be fruitful. If one of the department
heads is replaced and the new relationship between the two departments
is not good, you will find that the final product is also not good. There will
likely be no regular meetings. We find that many of these problems do occur;
we do not live in a perfect world. The main player who can solve this crisis
is the project manager.
You can easily determine whether your business might benefit from a quality assurance system by taking a closer look if you have a bad experience.
Does your work suffer because it depends on the work of colleagues who do
not complete their tasks or who perform their work poorly? If the answer is
yes, then you need a system of quality assurance.
A system of quality assurance is important at this stage because it organizes the work. The target of the project and each team member’s responsibility is clear. The concept of quality is defined by supporting documents.
The documents are regarded as the executive arm of the quality assurance
process. For example, any amendment or correction in the drawings should
be made through the agreed procedure and system. Moreover, the drawings
should be sent in a specified time to the client for review and discussion,
with an official transmittal letter to control the process time. If there are any
comments or inquiries, they should be done through agreement between
the two technical parties and then the modification should be done by the
engineering firm and resent to the client through the same communication
procedure.
The development of a system to avoid older copies of the drawings becoming confused with the current copies can prevent human error. The most
current set of drawings may be assured by the establishment of a system for
continuous amendment of the date and number of the drawings and engineering reviews until the final stage of the project and the approval of the
final set of drawings is sealed with a stamp (“Approved for Construction”)
indicating that these are the final drawings approved for the construction.
After the completion of the detailed engineering phase, the specifications
and drawings are ready to be used in the execution phase. You can imagine
that in some projects the documents may reach hundreds of volumes, especially the specifications, operation manual, and volumes of maintenance and
repairs.16 Construction Management and Design of Industrial Concrete and Steel Structures
2.3.4 Design Management
The goal of design management is to control the design stage to provide high
quality at a better price.
•	 The design input comprises all technical information necessary
for the design process. The basis of this information is the owner
through the SOR document, so the engineering firm should review
this document carefully, and if there is any confusion or misunderstanding, it should be clarified in the document and through
meetings.
•	 Instructions for control of the design, whether the client controls the
whole process or requests some specific action (e.g., a representative from the audit during the design phase) are often provide in the
contract.
•	 The designer must take into account the available materials in the
local market in relation to the project and its location and match
these with the capabilities of the owner. The designers must have a
realistic view and full and up-to-date knowledge of the best equipment, machinery, and available materials.
•	 The design must conform with the project specifications and the
permissible deviation and tolerance should be in accordance with
the specifications and requirements of the owner.
•	 Health, safety, and environment are the most critical subjects these
days, so every design should conform to health, safety, and environmental regulations.
•	 The computer is one of the basic tools used now in the design process as well as in the recording and storage of information and offers
the ability to change the design of the work easily. It is now easy to
modify the drawings by using Computer Aided Design (CAD) software in order to obtain more precise information with the access to
various tables and diagrams.
•	 The design output must be compatible with all design requirements,
and the design should be reviewed through internal audit. The
design must be compared with old designs that have been approved
before for similar projects. This is a simple procedure for checking
designs. Any engineering firm should have a procedural checklist
for reviewing designs.
The audits of the design review are intended to be conducted on a regular basis at important stages in the design. The audit must require complete
documentation and can take analytical forms such as the analysis of collapse
with an assessment of the risk of failure.Construction Management for Industrial Projects 17
2.3.5 Execution Phase
Now that everything is ready for the execution stage, it requires both quality
assurance and quality control, especially in the reinforced concrete works
where the concrete itself is composed of many materials such as cement,
sand and coarse aggregate, water, additives, and steel bars. Therefore, it is
essential to control the quality of the received materials as well as the whole
mixture. The quality control should follow strict guidelines during all of the
construction phase.
It is clear here that the contractor should have a strong, capable organization to achieve good quality control as well as to confirm the existence of
documents that define the time and the date on which the work was carried
out, who received the materials, who determined the number of samples of
concrete, what has been tested by compression, and the exact time, date, and
result of each test.
Often during the execution, there occurs some change in the construction
drawings of the project as a result of some problems at the site during the
construction or the introduction of some ideas or suggestions to reduce the
time of the project. It is important that the change of work be done through
the documents to manage the change. This called management of the change
document and requires the approval of the discipline concerned and also
approval from the engineering firm. Finally, all of these changes should be
reflected in the final drawings.
The supervisor and the owner must both have special organizations. The
owner organization in most cases has two scenarios:
•	 The owner establishes an internal team from the organization to
manage the project.
•	 The owner chooses a consultant office to manage the supervision
on-site; in most cases, the design office will do the supervision.
The construction phase shows the contractor’s capability for local and international competition if, and only if, the concept of quality assurance for the
contractor’s project team is very clear and they have experience in a comprehensive quality system. All competitors on the international scene work
through an integrated system whose aim is to confirm the quality of the
work and control the quality in all stages of execution to achieve full customer satisfaction.
2.3.6 Commissioning and Start-Up
The importance of this stage varies depending on the nature and size of
the project itself. In industrial projects such as the construction of pipelines,
pumps, turbine engines, or a new plant, a new team will be assembled consisting of project members, operating personnel, and the head of the team.18 Construction Management and Design of Industrial Concrete and Steel Structures
This team should be competent and have previous experience in commissioning and start-up. The team will have a specific target of starting the
operation. The reception is not performed until after the primary operation
start-up and commissioning, which at this stage is to make sure that all the
mechanical systems work efficiently and safely without any leakage or error
in the operation. The length of this stage depends on the size of the project and may extend to months. It is important to have competent personnel
at this stage, as it has special characteristics. The cooperation between the
operation and project team is essential; communication skills must be at the
highest level. The operation starts according to a specific schedule, which
can be measured in hours, and all parties should agree to this schedule to
provide a smooth transition zone in a safe manner. Increases in temperature
or pressure to any equipment without previous study can lead to disaster.
2.4 Is This Project Successful?
When you see a huge oil or gas plant, do you ask yourself, “Is this a successful project?” Although profit and money may come to mind, the focus should
be on the management of the project to determine whether it is successful.
You see a high-rise building and you say that the project is successful, but
is the project manager successful, too? To answer this question, you need to
answer the following three questions:
1. What is the plan and actual execution time?
2. What are the actual costs and the budget?
3. Is the project performing according to required specifications?
For the last question, we can answer yes for the big project. We cannot agree
or approve anything with low quality or that is beyond the specification.
You may assume that quality is a red line that we cannot cross or negotiate. Therefore, the successful project manager has to achieve the goal of the
project and satisfy all stakeholders while completing the project on time and
within the approved budget.
2.5 Project Management Tasks
Every manager in the project organization is responsible for planning and
monitoring the plan and assuring that the execution matches the plan.Construction Management for Industrial Projects 19
To achieve this, the project manager should coordinate with and provide
a report to other managers. The main items involved in the planning and
monitoring process are:
•	 Define project objective
•	 Define work
•	 Define work period
•	 Define the available and required resources
•	 Define cost
•	 Review and evaluate the master plan
•	 Accept the master plan
•	 Follow-up execution
•	 Follow-up cost
•	 Compare actual work, cost, and master plan
•	 Evaluate performance
•	 Predict and change strategy
The definition of project management is illustrated in Figure 2.4. The first
task of project management is to identify the target of the project management process in the planning, execution, and follow-up. There are three key
factors involved: resources, time, and funding.
Target
Plan
Execute
Follow up
Resources
Time
Budget
Project End
FIGURE 2.4
Project management.20 Construction Management and Design of Industrial Concrete and Steel Structures
2.6 Project Manager Skill
From the previous discussion, it is obvious that the main player in any project is the project manager, as he carries the biggest load. He is responsible for
assembling the team.
When thinking about the selection of the project manager, we must ensure
that his role is different from the operational and routine work, as the project
is unique and not repetitive.
Therefore, the project manager must be flexible, because the project
changes from time to time, for example, at the beginning of the project, there
is a small number of individuals and the number increases with time. Then,
near the end of the project, the number decreases. The behavior of the project
manager must be flexible according to the variables of the project.
The project manager deals with different individuals of all levels from
various departments and also with other parties dealing with the project. It
is important that the project manager be a good listener and be able to offer
guidance and persuasion. Previous experience on the same type of projects
is important and provides the necessary technical information to manage
the project in an efficient manner. The project manager must also be skilled
at managing time, costs, resources, communications, and contracts.
The skill of communication is very important, as the facts do not express
themselves; the best idea in the world would not be known without communication. At the lower levels, it is important to provide specific and clear
instructions because a misunderstanding causes loss of time and increased
costs. On the other hand, communication with the higher levels of the organization is necessary to provide summaries of the performance of the project
in a way that allows senior management to understand and aid the project.
Finally, the project manager must have the ability to visualize the completed
project and have an accurate and broad vision for the whole project, with
the capability to manage the dialogue, especially during meetings. This
is regarded as the most useful means of communication to reach the goal,
which is the success of the project.
2.7 Project Planning
The initial and basic principle of project management is how to read the time
schedule, which is a real representation of the nature of the project, with
the expectation of what could occur as a result of implementation. The next
important step is to determine the purpose of the project and then answer
the following question, “Is the driving force time or costs?” Then, the projectConstruction Management for Industrial Projects 21
manager must draw up a timetable with the project represented as a whole
range of self-contained but interrelated activities.
For more than 20 years, schedules have been prepared manually. Since the
developments in the field of computers, programs are now used to deliver
the time schedule. In general, there is more than one method to draw up
a time schedule for the project and this happens according to the nature
of the project and the required presentation that will be provided to senior
management.
We must recognize that the preparation of the schedule is the cornerstone
of the management of projects and will follow the work schedule and the
allocation of human resources and equipment, as well as the distribution
of costs along the project period with the identification of ways to control
costs.
In the beginning of 1900 and during World War I, Henry L. Gantt used
the first method for preparing a project schedule. This is considered the first
scientific method for the preparation of schedules. This simple method of
representing activities with rectangles is used in project planning and work
schedules at the time of production. The Gantt chart is set up by putting
the plan on the magnetic blackboard and using rectangles made of iron and
with length as a time unit. This was developed to be an (S) curve and is considered the first method to follow up the project with different activities by
distributing the resources on the activity and monitoring the performance.
Until the mid 1950s, there had been no mention of development in project
planning. In 1957, there were two different teams working on project planning using networks. The first team was prepared by using the Program
Evaluation and Review Technique (PERT); this method depends on probability theory. The second team used a network and depended on the Critical
Path Method (CPM). The methods of those networks have the same methodology; the difference is in the objectives. The development is done through
operations research.
The first use of the PERT method was when the U.S. Navy was faced with a
challenge in the POLARIS system, as they wanted to make rocket launchers
in record time in 1958. The basics of the PERT method involved overcoming
the lack of definition of activity duration time and used statistical methods to
calculate it. This was done by defining the maximum, minimum, and most
likely time for each activity, and obtaining the likely time of completion of
the project, important parts of the project, and the minimum and maximum
probable times to complete the project.
CPM was introduced in 1957 by two companies, Du Pont and Remington
Rand Univac. The objective of the working group was to reduce the time for
maintenance, overhaul of the rotating machines, and construction work.
It is noted that the calculation of the time required for different activities can easily be applied to projects other than POLARIS activities, as we
need to iden tify one expected period only for each activity and the longer22 Construction Management and Design of Industrial Concrete and Steel Structures
time table for the course of the series of activities has been defined as the
critical path.
CPM is the most common way of networking activities in project planning.
It is used along with other methods by computer software. The process of
planning is simply planning what will be done on the project in accordance
with the order and manner of the execution of the project. Often there will
be some changes and they should be followed up and the time schedule
adjusted should be in accordance with the changes in the project as well.
To do the work with good planning, you must answer these questions
clearly:
What are the activities that you want to do?
When will these activities be executed?
Who will execute the activities?
What are the equipment and tools required?
What are the activities that cannot be executed?
The answer to the previous questions is the key to arranging the work in an
appropriate way.
So the project will be understandable, your goal is to transform information in a way that it can be presented to all parties in the project and be
clearly understood by all. Your planning team target is to implement the
project in a timely manner and in accordance with the specific cost requirements and, at the same time, achieve the required level of quality. Project
planning requires the following goals:
•	 Reduce the risks of the project to the lowest level possible.
•	 Achieve the performance specifications for the project by establishing an organization for the implementation of business.
•	 Develop procedures to control the project.
•	 Achieve the best results in the shortest possible time.
The planner cannot plan for every minute of the project in detail because of
the nonavailability of all information. As the work goes on, new details will
require an increase in the effort and time to adjust the timetable in accordance with the new information and details.
2.7.1 Who Will Make the Plan?
In simple terms, this should be done by the project manager with the planning team. At the outset, though, it will be necessary to determine if a team
will work and if you have sufficient information about their potential and
their relation to the size of the project. You will also need to determine if youConstruction Management for Industrial Projects 23
want to use an experienced planner from another project or contract someone to work with you for some time at the beginning of the project.
You should also know, through the collection of information, if the working
group has worked in similar projects or projects that had similar activities.
For example, if you are working on an oil and gas project, has the working
group worked on the same type of projects before? The project will differ
from the construction of housing projects, hotels, road projects, or industrial
projects.
Each type of project has its own characteristics, but the working group
should have worked on projects similar to your project. The draw is that you
must have the human element of efficient planning and the ability to plan
the project well. At the beginning of the work, the meeting of the planning
group is attended by the official sponsor of the project, the director of the
project, and the owner and his representative. In this meeting, the emphasis
is on clarification of the main objectives of the project and identification of
priorities in the implementation of the driving forces with the presentation
of the project. Is it a time- or cost-driven project? What is desired from the
project as a whole?
2.7.2 Where Do You Start the Plan?
Some basic definitions are as follows:
•	 A task is a small job done by one person.
•	 An activity is a part of the project that is composed of a set of tasks
and performed by different individuals.
•	 Concurrent activities are activities developed in planning to be
implemented in parallel.
•	 Series activities are activities put in the plan, that needs to be executed one after the other so that the second activity does not begin
until the first activity is finished.
To be clear, the difference between an activity and a task is that the activity is a set of tasks or work. For example, the preparation of the report is an
activity but it is carried out through a series of tasks or functions that are as
follows:
1. Information collection
2. Data analysis
3. Initial report preparation
4. Graph generation
5. Final draft preparation
6. Printing of final version24 Construction Management and Design of Industrial Concrete and Steel Structures
You are now in a phase where it is difficult to know how to start planning.
There are many ways and you have to choose among them. The first way to
start is to identify the key stages of the project. The key stages of the project
will be identified by holding a meeting with the experienced persons in the
project team from different disciplines, the stakeholders, and the sponsor.
In this meeting, use a brainstorming technique among the attendees. Every
person will write his or her suggestions on paper, which will be posted on
the wall, to be seen and commented on by all members at the meeting.
The collected papers will contain all the ideas and contributions, regardless of whether they are logical or illogical. An electronic blackboard may be
used in some cases. It is important for the specific aim of this exercise that we
follow these rules during the meeting:
•	 Be concerned about quantity and not quality, even if it turns out that
some of the tasks and activities have been replicated.
•	 Avoid any idea of critical observations that would bother participants.
The list that is obtained now is not arranged in any type of order, importance, or time. When you find that all individuals have put forth all the ideas
they have, stop the brainstorming. The next step of the action team is to filter
the activities. This is done by removing tasks that are repetitive or duplicates and then compiling the tasks there, including the interdependence of
both straight and parallel tasks. After reduction, the small number of tasks
and activities is often within the range of 30–60, according to the size of the
activity and the project. Compile the activities into key stages of the project.
By using this method, you will reach precision in planning of up to about
90%, and this is considered the beginning in the planning of the project as
a whole.
Now that you have the main stages of the project and all the key stages
have been agreed on by the members of the project, you will be arranging
them in a logical order. You should avoid the following:
•	 Avoid defining time or dates.
•	 Avoid the allocation of employment to those stages.
It is not easy to avoid doing these things, but they will cause problems. To
avoid mistakes in the project planning logic control, the key stages must be
written on the blackboard on the main wall of the office. Figure 2.5a and b
shows an example of the main stages of the draft.
The advantages of this method are that everyone’s ideas and opinions on
the project is included, which makes them invested in the success of the
project. Note that in Figure 2.5, the design phase has been divided into two
stages (Figure 2.5a and b) to allow the sending of purchase orders before the
end of the first phase of the design. You now have information that can beConstruction Management for Industrial Projects 25
used in the computer software to prepare a time schedule for the agreed plan
for the project.
The basic rules that must be adhered to and strictly followed in the preparation of a project schedule are as follows:
•	 Movement activities are from the left to the right.
•	 There is no measure of time.
•	 Start with the biggest and topmost square. Make sure there is an
empty place on the page for each major stage in the project.
•	 Each phase is described in the present tense.
•	 The pages are developed in accordance with the logical arrangement.
•	 Communicate between the different stages of the project.
•	 Identify responsibilities.
Start
Plan
Requirements
Preliminary
engineering
Training
plan
Materials
Detail design
Train
operators
Erect structure
and machine
Machines
test
Project
complete
(a)
Preliminary
design (A)
Materials
request
Preliminary
design (B)
Detailed
design
Structure and
machine
installation
Train operators
(b)
FIGURE 2.5
(a, b) Project key stages.26 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Ensure connectivity between the stages.
•	 Avoid the intersection of the stock as much as possible.
•	 Identify each key stage by professional codes.
2.7.3 Work Breakdown Structure
Figure 2.6 gives an example of a work breakdown structure (WBS). It shows a
common project consisting of three pipelines: a pipeline to transport water, a
pipeline to transport crude oil from the plant to storage, and a third pipeline
to transport gas from the production plant to the treatment plant.
In this project, the work is divided into more than one level. The first
level of the main stage in the pipe example shown in Figure 2.6 consists of
Level
1
Project
Piping
(A)
Electric
(C)
Concrete
(B)
Design
(AB)
Material take off (MTO)
(AD)
Prepare
drawings
(AC)
Water line (AB1)
Oil line (AB2)
Gas line (AB3)
Hydraulic calculation (AB31)
Stress calculation (AB32)
Valve selection (AB33)
Another main activity
(D)
Level
2
Level
3
Level
4
FIGURE 2.6
Work breakdown structure.Construction Management for Industrial Projects 27
the concrete and electrical work. The second level involves more than one
stage as the drawing of the designs and the calculation of materials begin.
Level 3, in this example, focuses on the design phase and will be divided
into stages for the design of each pipeline: gas, oil, and water. At the fourth
level, we design a gas pipeline by performing a hydraulic design and pipe
stress analysis to choose the thickness of the pipe and the base locations. The
subsequent stage involves the selection of the required valves. There may be
several stages, depending on the nature of each project.
We note each stage using the appropriate level code for ease of use later. WBS
can be completed at any level of description. It does not explain the relations
between the activities or show the time or length of time for any activity.
After you have selected the main stages and WBS, the next step is to
develop a rough schedule of time for the project. However, you must first
define the responsibilities.
2.8 Responsibilities of the Planning Team
The planning team is responsible for preparing the schedule at this stage
and has the vital role of distributing the main stages of the project to the
team members. Every main stage has a key stage owner (KSO) and it is that
person’s responsibility to reach the required target in a reasonable amount
of time. This involves:
•	 Defining the work down to the smallest task level
•	 Ensuring that relations between activities and tasks are clearly
defined
•	 Estimating time with high accuracy
•	 Ensuring that business is done in a timely manner in accordance
with the required quality expectations
•	 Ensuring that work is proceeding in accordance with the procedures
and requirements for quality assurance
•	 Maintaining the ongoing follow-up
•	 Ensuring that there are periodic accurate reports
There are some problems that the KSO will face during the project and they
should be resolved in a timely manner. The KSO must have:
•	 The necessary authority to complete the work
•	 The necessary tools to complete the work
•	 The right atmosphere to achieve the required quality of work28 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Direct support from the project manager or the official sponsor of
the project
•	 Clearly understand performance expectations
When the project manager chooses the KSO for each state, the following
should be considered:
•	 Skills
•	 Depth of information and knowledge
•	 Previous experience in the same area
•	 Rapid completion of work
•	 Accuracy in the completion of previous work
•	 Ability to solve problems
•	 Ability to manage time
•	 Ability to work as an individual and with a team
•	 Volume of work
•	 Ability to offer advice, be supportive, and work under stressful
conditions
•	 Amount of current or future training required
Now that the key stages plan is available and every key stage has a defined
person responsible, it is time to begin estimating the time required for each
activity of the key stages.
2.9 Estimating Time Required for an Activity
To determine the time required to finish any task, you must know the
resources available to perform the work at the required level of quality. To
do that, you must know the following:
•	 The task volume, if it can be measured. For example, first, calculate the time required to prepare the wood form to pour 100 m3 of
concrete for the foundation and, from that, the task volume can be
known.
•	 The work required to finish this activity (by hours, days, or weeks)—
noting that the number of workers should be identified and the
capability of each worker to perform the task alone should be
considered.Construction Management for Industrial Projects 29
The working capacity of a worker will usually be measured in days. You
should take care to avoid the pitfalls that usually trap young engineers. For
example, you should decrease the capacity of work per day by about 50%, as all
of the hours per day do not focus on project activities. Much time is wasted in
meetings or special discussions and also by routine events such as bathroom
breaks, eating, etc. Moreover, there is some delay involved in the work itself.
After you define the period for each task, keep in mind the other traps
when you put it on the calendar. The total time length will be different due
to the following factors:
•	 Weekends
•	 Official vacations and holidays
•	 Annual leave for employees
•	 Work stoppages
It is worth noting that defining the performance rate for each activity
depends on the normal rate that is found in textbooks or standard guides for
contractors, but it is essential to obtain information from others with experience in the same country, the same location, or from previous projects.
From here, we cannot disregard past experiences. If an activity is the same
as in similar projects—pouring concrete foundations, for example—we
should use materials and procedures of the same type, preferably from the
same location. This is particularly true of remote areas such as the desert
because they are more challenging than cities, where there is available labor
and higher efficiency of employment.
When you ask individuals and experts for information, you should keep
in mind that not everyone has accurate information. It is human nature for
good things to remain in memory and bad experiences are erased from the
mind with time. When someone says that the expected time for an activity
was 18 days, but it was finished in 10 days, that person clearly considers this
to be a success story and will keep it in mind for a long time. However, as a
rule of thumb, no one can work 100% of the time and that 20% to 50% of time
is wasted in the following activities:
•	 Unnecessary meetings
•	 Interoffice visits
•	 Newspapers and mail
•	 Research
•	 Assisting or advising others
•	 Office equipment failure
•	 Regular daily activities
•	 Misunderstandings between team members30 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Lack of specifications or SOW
•	 Lack of quality specifications
•	 Training
2.9.1 Calculating Time Required for an Activity
There is a method of calculating the time required for an activity through
the use of performance rates. For example, to calculate the time required to
excavate 15,000 m3 of soil, you must first determine the method of excavation.
In this example, that method has been identified as equipment, specifically
two bulldozers, two loaders, and four trucks to transport the soil. The performance rate of one bulldozer is 120 m3/h and the performance rate of one
loader and two trucks is 75 m3/h.
Rate of excavation = 2 × 120 = 240 m3/h
Time required for excavation = 15,000/240 = 62.5 h = 9 days
Rate of soil removal and disposal = 2 × 75 = 150 m3/h
Time required for removal and disposal = 15,000 ∕ 150 = 100 h = 15 days
Therefore, the excavation time is about 9 days and the disposal of the soil
takes about 15 days. Taking into consideration the number of working hours
in the day, which is only 7 hours for the purposes of the timetable. For the
excavation activity, take the largest period, which is 15 days. However, the
excavation may be immediately followed by the pouring of plain concrete.
That may begin after 9 days because there is no need to wait until the waste
has been removed from the site.
2.9.2 Time Schedule Preparation
We have already discussed the most common ways to draw up a timetable
and also how to map along the CPM and PERT. The most important factors
in the preparation of the time schedule are to identify the activity, determine
the time required for its implementation, and identify relations between the
activities. We discussed how to determine the activities and the amount of
time required for each activity; we must now determine how to arrange the
activities around each other. The different, common relations between activities are shown in Figure 2.7.
1. Activity B cannot start until Activity A is through.
2. Activity A and Activity B start at the same time.
3. Activity A and Activity B finish at the same time.Construction Management for Industrial Projects 31
In some cases, Activity A may start and, after a certain period, Activity B
will start. This period is called “lag time.” A computer can do this task easily. For manual preparation, there are two main methods: the arrow diagram
and the precedence diagram, as shown in Figure 2.8.
2.9.3 Arrow Diagram
This diagram depends on defining each activity by an arrow, as in Figure 2.8.
The point of connecting arrows is called a node and drawn as a circle. As in
Figure 2.8, Activity A depends on Activity B. Activity C depends on Activity
Finish-to-start
Order of activities
Types of activity relationships
A
A
A
B
B B
Finish-to-finish
Start-to-finish
FIGURE 2.7
Order of activities.
Arrow Diagram
A
B
C
D
E F
Precedence Diagram
Start
A B C
Finish
D E F
FIGURE 2.8
Tools for arranging the activities.32 Construction Management and Design of Industrial Concrete and Steel Structures
B and Activity D, but there is no activity line between Activity D and Activity
C. So, we use a dummy arrow with time zero to solve this problem. However,
using dummy arrows for large activities will present a problem, so the use of
a precedence diagram is now more popular.
2.9.4 Precedence Diagram
In this method, which is the most common, every activity is represented by
a rectangle, as shown in Figure 2.8. Figure 2.9 shows the rectangle in detail.
From these figures, it is easy to see that Activity C starts after Activity D and
Activity B.
Figure 2.9 presents the inside of a rectangle where the duration of the activity will be written, as well as early start (ES), early finish (EF), latest start (LS),
and latest finish (LF) times.
2.9.5 Gantt Chart
In general, relations between activities are in series or parallel. The relation
depends on the nature of the activity and this should be considered in preparing the time schedule.
The Gantt chart is an old, traditional method used until recently to present
project schedules (Figure 2.10). The relations between all the activities are not
well presented by this method and you cannot go through detailed activity
accurately, so it is not a good presentation method for high-level management. It is detailed enough for one level of the schedule, but for more detail,
there needs to be another method for scheduling (Figure 2.11).
Precedence Diagram
ES No. EF
LS D LF
Activity
Start
A B C
Finish
D E F
D: Duration
ES: Early start
EF: Early finish
LS: Latest start
LF: Latest finish
FIGURE 2.9
Method of creating a precedence diagram.Construction Management for Industrial Projects 33
2.9.6 Critical Path Method
The essential technique for using CPM is to construct a model of the project
that includes a list of all activities required to complete the project, the time
required for each activity to be completed, and the dependencies between
the activities.
Using these values, CPM calculates the longest path of planned activities
to the end of the project and the earliest and latest times that each activity
can start and finish without making the project longer (Figures 2.12 and 13).
This process determines which activities are critical (i.e., on the longest path)
and which have “total float” (i.e., can be delayed without making the project longer). Any delay of an activity on the critical path directly impacts the
planned project completion date (i.e., there is no float on the critical path). A
Jan.
Activity 1
Activity 2
Activity 3
Feb. Mar. Apr. May
FIGURE 2.10
Example of a Gantt chart.
Pour conc.
1
Mob.
3
2 4
5 6 7 8
Prep. Form
Example
Excavate
Prep. Rft.
Pour PC Set Form Set Rft.
3
7
8 4
1 2 3 1
FIGURE 2.11
Precedence diagram example.34 Construction Management and Design of Industrial Concrete and Steel Structures
project can have several critical paths. An additional parallel path through
the network with total durations shorter than the critical path is called a
subcritical or noncritical path.
2.9.7 Program Evaluation and Review Technique
PERT is required for the execution of special projects or large-scale deliveries with a variety of activities. These activities need to be accurately identified, as do all activities involved in the project that must be completed. The
1
Mob.
3
2 4
5 6 7 8
Prep. Form
Example
Excavate
Prep. Rft.
Pour PC Set Form Set Rft.
3
7
8 4
1 2 3 1
0 3
3
3 3
10
11
7
11 12 12 14 14 17 17 18
FIGURE 2.12
Calculate the early times.
1
Mob.
3
2 4
5 6 7 8
Prep. Form
Excavate
Prep. Rft.
Pour PC Set Form Set Rft.
3
7
8 4
1 2 3 1
0 3
3
3 3
10
11
7
11 12 12 14 14 17 17 18
14 14 17 17 18
10 14
12 12
5 12
0 3 3 11 11
Pour conc.
FIGURE 2.13
Calculate the latest times.Construction Management for Industrial Projects 35
completion of these activities must be initiated and carried out in a specific
sequence, particularly any activity that must be completed before the start or
completion of other activities or that may occur in relay of parallel activities,
meaning two or more activities could be completed at the same time.
In addition, there are specific achievements that indicate the completion of
key sectors of the project. The successful implementation and management
of such projects must be carefully planned to speed up the delivery during a
specified period, to coordinate the multiactivity of the project, to monitor the
use of various resources necessary for its implementation, and to achieve the
project on time and within budget cost.
Although PERT was designed mainly for military purposes, it has been
used successfully since 1959 in most large-scale projects. PERT analysis is
used in a number of areas of the computer and construction industries in
planning shutdowns for maintenance in refineries.
This analysis has confirmed its applicability and importance in different
projects. An example of its success for contracting companies was its role in
solving the problems of coordination between various activities in a large project of a considerable degree of complexity and in planning the time required
for the implementation of each activity in Montreal, Canada, in 1967. This
method made it possible to complete the project within the scheduled time.
PERT was developed to simplify the planning and scheduling of large and
complex projects. It allowed the incorporation of uncertainty by making it
possible to schedule a project even without knowing the precise details or
durations of the activities.
2.9.8 Example
Table 2.1 illustrates the relation between activities and how you can create a
schedule through the precedence diagram. It shows the activities required
for a cast concrete foundation, which is a simple example that shows how to
arrange activities and how we can account for the overall time of the project
and identify the critical path.
TABLE 2.1
Example of a Foundation Project
Item Activity Time (days) Precedence Activity
1 Mobilization 3 –
2 Excavation 8 1
3 Preparation of wooden form 7 1
4 Preparation of steel reinforcement 4 1
5 Pouring of plain concrete 1 2
6 Setting wooden form 2 3, 5
7 Setting reinforcement 3 4, 6
8 Pouring concrete 1 736 Construction Management and Design of Industrial Concrete and Steel Structures
In Table 2.1, the first column contains the item number or the code for that
item and its activities and subactivities. The main activity code may be 100
and a subactivity 110, for example. Table 2.1 gives an example of a simple
case. The second column contains the name of the activity and the third
column contains the time length for each activity in days. The fourth column
specifies the relations between activities. Activity 2, which is excavation,
is constrained by Activity 1. Activity 6, which is setting the wooden form,
depends on Activity 3 (finishing the preparation of the wooden form) and
Activity 5 (pouring the plain concrete).
Figure 2.11 shows a precedence diagram. In each diagram, there is a number representing its duration. Figure 2.12 shows the early start and finish
times for each activity by using the following equation:
EF = ES + D
where EF denotes early finish, EF is early start, and D is duration.
Start with Activity 1. The EF of this activity is 3 days. Transfer this value
to Activities 2 through 4 in the ES rectangle zone. Activity 6 depends on
Activities 3 and 5. Take the higher value for EF, which is 12 days, and use it as
the ES for Activity 6. In the same sequence, Activity 7 takes its ES value (14)
from the higher value of EF from Activities 6 and 4. For the last activity, take
the EF value (18) and transfer its value to the LF rectangular zone. Figure 2.13
shows the latest start and finish for each activity by applying the equation
LS = LF − D
to the last activity and calculating back. By applying this equation, we determine that the LS of the last activity will be 17 days.
As shown in Figure 2.13, subtracting LS from LF and subtracting ES from
EF gives a value of 0, so this means that this activity is on the critical path. If
their difference has a value, this means that this activity can be delayed by
this period without affecting the total project time.
As an example, let us say that the period for steel bar preparation is 4 days
and we assume that the bar preparation is 3 days and 1 day is required for
coating the steel bars to protect from corrosion. By performing a simple calculation, we find 7 days to be the total float (TF) for the steel bar preparation
and coating. The free float (FF) of the steel bar preparation is 0, as any delay
will affect the coating activity. The coating activity has an FF of 7 days, as
there is no activity after that.
2.9.9 Applications for the PERT Method
We know that implementation of any activity requires time and resources.
The PERT team faces the problem of estimating the time required for each
activity. Reliance on a single time estimate is poor planning and incomConstruction Management for Industrial Projects 37
patible with the conditions of uncertainty, even under the best circumstances, as the external environmental factors surrounding the project may
cause deviations in the time required for activities.
The PERT method overcomes this uncertainty by estimating the time of
each activity using three time values that will be compiled to reach a statistical probability for estimating the time required for project completion. This
method is applied as follows:
•	 Optimistic time. This is the lowest possible estimation of the time
required to complete the activity. It involves all of the factors affecting this activity being positive. This usually predicts a short period
for completion.
•	 Pessimistic time. This is the estimate of the maximum possible time
for implementation of the activity. It presents the worst-case scenario
for a delay of this activity. This usually provides a longer period with
a low probability.
•	 Most likely time. The most likely time presents the time required to
complete this activity under normal conditions for all factors affecting
this activity. This value has the highest probability of occurrence.
The PERT method correlates the relation between the above three times by
using a beta distribution as illustrated in Figure 2.14. The optimistic and
pessimistic values predict the limits of the distribution, and the most likely
value presents the time required under normal or expected conditions. To
define the activity period, calculate the activity mean time by using Equation
(2.1). The summation of all periods on the critical path presents the mean
period for the project.
TP
Tm
Frequency
Time
Ta
TO
FIGURE 2.14
Probability distribution for every activity.38 Construction Management and Design of Industrial Concrete and Steel Structures
2.9.9.1 Statistical Calculation of Activity Time
From the beta distribution, the expected, or average, time for each activity is
calculated according to Equation (2.1).
T
T T T
a
o m p
=
+ + 4
6
, (2.1)
where T
a is the average time, To is the optimistic time, Tp is the pessimistic
time, and Tm is the most likely time.
2.9.9.2 Example
For the example of constructing a concrete foundation, there are three values
of time for each activity, as shown in Table 2.2.
After defining the critical path from the previous example, calculate the
expected time for each activity as in Equation (2.1). Find the standard deviation using Equation (2.2).
S
T T
=
−
p o
6
(2.2)
Variance (V) = S2
The minimum time required to finish the project is 12 days and the maximum
time required to finish it is 29 days (Table 2.3). The average time required to
finish the project is 19.14 days. What is the probability of the time required
to finish the project increasing to more than 21 days? This value can be calculated as:
V = 0.44 + 1 + 0.28 + 0.25 + 0.11 + 0.028 = 2.108 days
TABLE 2.2
The Three Values of Time for the Previous Example of Constructing a
Concrete Foundation
Item Activity Tp Tm To
1 Mobilization 5 3 1
2 Excavation 11 8 6
3 Preparation of the wooden form 9 7 6
4 Preparation of steel reinforcement 5 4 3
5 Pouring plain concrete 2 1 1
6 Setting wooden form 4 2 1
7 Setting reinforcement 4 3 2
8 Pouring concrete 2 1 1Construction Management for Industrial Projects 39
Standard deviation, S = 1.45 days
Z = 21 19 14 − =
1 45
. 1 28
.
.
From the probability distribution tables, the probability that the project
completion period will be more than 21 days is 10%. The probability that the
execution time for the project will be 21 days or fewer is 90%, as shown in
Figure 2.15.
2.10 Cost Management
2.10.1 Cost Estimate
The cost estimate is the calculation of the estimated cost of performing
more than one phase during the project. In the initial phase of studies in the
19.14 21.0 Day
0.4
0.1
FIGURE 2.15
Probability distribution.
TABLE 2.3
Apply the PERT Method
Item Activity Tp Tm To Ta CP S V
1 Mobilization 5 3 1 3 a 0.67 0.44
2 Excavation 12 8 6 8.3 a 1 1
3 Preparation of the wooden form 9 7 6 7.17 0.5 0.25
4 Preparation of steel reinforcement 5 4 3 4 0.33 0.11
5 Pouring plain concrete 2 1 1 1.14 a 0.167 0.028
6 Setting wooden form 4 2 1 2.17 a 0.5 0.25
7 Setting reinforcement 4 3 2 3 a 0.333 0.11
8 Pouring concrete 2 1 1 1.5 a 0.167 0.028
a Activity in the critical path.40 Construction Management and Design of Industrial Concrete and Steel Structures
appraise phase, the cost is calculated by a simple principle and the borders of
right and wrong are very large. The accuracy of the cost-estimate calculation
increases with the forthcoming phases of the project so that the possibility of
the actual cost of the project increasing decreases with time until the end of
the project and, therefore, 100% of the cost of the project is reached.
Feasibility studies must be performed by persons with extensive experience in similar projects so that accurate cost values can be assigned. All projects have different characteristics and requirements. For example, residential
building projects are different from factories and petroleum projects. Let us
say that, using a traditional example, your friend is going to purchase a land
for a new villa and he requires a rough cost estimate. It will be very complicated as he has no drawings, calculations, or concrete data to base the calculations on. The estimated value will have a high degree of uncertainty because
the architecture, exact location, soil type, and other factors are unknown.
From previous experience, your friend can obtain an estimate if at least the
number of floors and the general location of the land are known. That will
provide a cost of US$ per m2 for that location and number of floors.
The steps in this example are at a very preliminary stage and are commensurate with a small project, such as building a house. In the case of large
projects, budgeting at this stage requires making surveys and taking soil
samples using boreholes and then calculating the cost of the project. The
entire project will then be studied again to determine the effect on profit of
this minor clarification.
For large-scale and high-cost industrial projects, especially where some of
the equipment and machinery required are unique, if the estimated cost in
the initial phase of studies is within ±50%, the proportion of the error and
the difference between the expected and real values is very large. In a later
similar project, the difference will be smaller because, in industrial facilities, a large proportion of the cost depends on the equipment and machinery
used in manufacturing. On the other hand, there are some projects, such as
the replacement and renovation of residential or industrial facilities, with
very low degrees of accuracy and their initial estimated costs will also be
about ±50%.
After finishing the FEED engineering, the accuracy of the cost estimate
will be about ±30%. After finishing the construction drawings for the whole
project, the estimated cost will be calculated based on quantities and will
provide an approximate cost for each item. Then, we will have an estimated
cost for the project with a small predicting deviation. The acceptable accuracy is about ±15% in this stage.
If, after determining the cost of the project and budgeting, you have a scenario where the cost may be more than 15%, the project may be halted partially or completely. On the other hand, if the cost is less than 15% of the
budgeted amount, you have tied up an unnecessary amount of the owner’s
investment that could have been invested in other projects. Therefore, the
cost estimate is vital to the project’s success.Construction Management for Industrial Projects 41
2.10.2 Cost Types
For the owner, there are different types of costs involved in construction
projects. These include the costs of assets and capital, including the initial
composition of the facilities of the project such as:
•	 Cost of land and property registration procedures
•	 Planning and feasibility studies
•	 Engineering activities and studies
•	 On-site construction materials, equipment, and supervision
•	 Insurance and taxes
•	 Cost of the owner’s office
•	 Cost of equipment not used in construction, such as private cars to
transport the owner engineers
•	 Examination and tests
•	 Cost of maintenance and operation in each year of the project life
cycle include the following:
•	 Leasing land
•	 Employment and wages
•	 Materials required for annual maintenance and repairs
•	 Taxes and insurance
•	 Other owner costs
The cost values of each of the preceding items vary according to the nature,
size, and location of the project and also for other structural organization considerations. We should not forget that the owner’s goal is to reduce the total
cost of the project to be consistent with the objective of the investors. The
highest value in a real estate project is the cost of construction of the structure.
In the case of industrial buildings and the petrochemical industry, the cost
of civil and structural work is almost small relative to the cost of mechanical
and electrical equipment. For example, the cost of a concrete foundation for a
power turbine may cost $30,000 and the power turbine may cost more $5 than
million. Nuclear and power generation projects are other examples.
When we calculate cost from the viewpoint of the owner, it is very important to calculate the cost of operations and maintenance in each year of the
life of the project for each of the alternatives available in the design and to
calculate the cost of the life cycle of the project as a whole.
To calculate the estimated costs of a project and to develop a budget, we
must point out the limits of deviation and the cost of risk or unexpected
events during the execution of the project. The percentage of risk has to be
calculated for each item or as a proportion of the total final cost. The calculation of the cost of risks depends on past experience and anticipated problems42 Construction Management and Design of Industrial Concrete and Steel Structures
during the implementation of the project. Increased costs of emergency often
occur as a result of each of the following:
•	 Changes in design
•	 Differences in the schedule and increased duration time of the
project
•	 Administrative changes such as increased salaries
•	 Special circumstances at the site, such as unexpected obstacles or
defects in the soil
•	 Special permits required
2.10.3 Construction Cost Estimate
The cost of construction and installation is the biggest part of the total cost
of the project. This cost is controlled by the project manager and the project
construction manager. The accuracy of calculating the estimated cost of construction is different from one stage to another. Accurate cost calculations
require accurate data: the more accurate the data, the more accurate the calculation of the cost.
The estimated cost of construction is calculated from more than one point
of view. The cost is estimated for the owner to go through the design and
construction drawings. The contractor calculates the cost of construction to
tender his bid and obviously tries to be as competitive as possible. The third
way is the control-cost estimate, which is used by the owner to control costs.
This will be prepared for the owner by professional engineers experienced
in the calculation of the cost estimate. These calculations are performed at
more than one stage of the project. The estimated cost in general is usually
carried out before the design of machinery and equipment in the case of
industrial projects.
The initial cost estimate is made after preliminary studies of the project,
with an initial identification of industrial facilities such as the number of
pumps, compressors, and the size of pipes and lines in diameter. The cost is
determined at this stage based on previous experience with similar projects.
An example of cost calculation is as follows:
Example
Calculate the cost for a project consisting of two pumps with 1000 hp with a pipeline 12 inches in diameter and 10 miles in length
The pump cost estimate = $650 per hp
Pump cost = 2 (650) (1000) = $1,300,000
Cost estimate for onshore pipeline = $22,000 per inch per mile
Pipeline cost = 22,000 (12) (100) = $26,400,000
Total cost = 1300000 + 265400000 = $27700000Construction Management for Industrial Projects 43
Example
To calculate the cost of one floor for a building with an area of 300 m2 from reinforced concrete:
In this case, assume slab thickness of 250 mm for a slab beam and column as a
practical estimate.
Approximate quantity of concrete for a slab and floor = 300 × 0.25 = 75 m3
Assume the cost of concrete is $200 per m3
The concrete cost for one floor = $15,000
Note that the price of concrete is calculated after determining the type of
concrete used. There are two methods for the processing of concrete: reinforced concrete and ready-mix concrete.
The cost of reinforced concrete can be calculated by obtaining this
information:
1. Quantity of steel per cubic meter of concrete and the price of steel
per ton
2. Quantity of cement in the concrete mix and the price of cement per
ton
3. Quantity of coarse and fine aggregate and the price per cubic meter
4. Cost of shattering, bending bars, pouring and curing per cubic meter
of concrete
To calculate the cost of ready-mix concrete, you must know:
1. Quantity of steel per cubic meter of concrete and the price of steel
per ton
2. Price of transporting concrete from the nearest ready-mix location to
the site and the price of the concrete pump
3. Cost of a wooden form, usually a special form for the pump
concrete
4. Cost of steel fabrication
5. Cost of pouring process and curing
The approximate price for 1 m3 of reinforced concrete prepared on-site, noting
that the approximate quantity of coarse aggregate is 0.8 m3 and for fine aggregate is 0.4 m3 and using these value to provide a characteristic cube strength
of 25 N/mm2.
Steel cost = $1000 per ton
Cement cost = $80 per ton
Coarse aggregate cost = $5 per m3
Sand cost = $1 per m3
Steel quantity = 0.1 t/m3 (see Table 2.4)
Steel cost = 0.1 × 1000 = $10044 Construction Management and Design of Industrial Concrete and Steel Structures
Cement cost = 7 ∕ 20 × 80 = $28
Coarse aggregate cost = 0.8 × 5 = $4
Sand cost = 0.4 × 1 = $1
Total material cost = $133 per m3 (material only)
Cost of fabrication of wood and steel and pouring concrete = $30 per m3
Total cost = $163 per m3
Note that in calculating the reinforced concrete cost estimate, the main item
is the quantity of steel in concrete and it is different according to the structural elements. Table 2.4 is a guide to estimating the quantity of the steel
reinforcement.
The data in Table 2.4 are to be considered as a guideline and depend on the
concrete characteristics, strength, and the member design. It is an indicator
of the quantity of steel reinforcement. The percentage cost of a domestic or
administration building is shown in Table 2.5.
2.10.4 Steel Structure Cost Estimate
The cost estimates for steel structures are significantly different from the calculation of the estimated cost of reinforced concrete structures, as they need
special designs. The most important part of the design and construction of
steel structures are the connections. It is well known that connection costs
are about 50% of the whole building. Table 2.6 defines the cost percentage of
each part in a steel structure project.
TABLE 2.4
Guide for Estimating Steel Quantity
Structure Element
Quantity of Steel Reinforcement
in Concrete (kg m3)
Slab with beam 90–100
Flat slab 250
Hollow block slab 150–180
Columns 90–120
Isolated footing 100–120
Raft foundation 200–300
TABLE 2.5
Percentage of Reinforced Concrete Building Cost
Activity Item Percentage from the Total Cost (%)
Design and site supervision 3
Concrete works 36
Masonry work 6
Sanitary and plumbing 10
Internal and external finishing 45Construction Management for Industrial Projects 45
Design 13%
Materials 38%
Fabrication 27%
Coating 10%
Erection 12%
From Figure 2.16, one can determine the proportions of the costs of main
elements for constructing a steel structure; every item is represented as a
percentage of the total cost.
Note that in Table 2.6, the connections, either through the use of welds or
high-stress bolts, have the largest share in the process of preparing detailed
drawings, where the most important and most critical phase is the accuracy
of the details of the connection. There is no doubt that they are important in
the cost of manufacturing and in the installation phase as reflected in the
connection cost percentages of 63% and 45%, respectively. The connections
are of great importance in the calculation of costs, as well as in the preparation of schedules.
TABLE 2.6
Percentage of Steel Structure Costs
Item
Percentage from
the Total Cost (%)
Percentage of Cost
for Connection (%)
Percentage of the
Connection Cost (%)
Preliminary design 2 33 0.7
Final design 3 55 1.7
Detail drawings 8 77 6.2
Total design cost 13 8.6
Material 38 40 15.2
Fabrication 27 63 17.0
Painting 10 35 3.5
Erection 12 45 5.4
Total percentage 100 49.7
Design
13%
Erection
12%
Painting
10%
Fabrication
27%
Material
38%
FIGURE 2.16
Percentage of cost for steel structures.46 Construction Management and Design of Industrial Concrete and Steel Structures
2.10.5 Detailed Cost
The detailed cost estimate will be determined by the detailed construction
drawings of the project and by project specification. The engineering office
calculates the cost estimates through the experience of the contractors who
carry out the construction of those projects. The owner should also add the
cost of his or her supervision.
2.10.6 Tendering Cost Estimate
This calculation is performed by the contractor and will be presented to the
owner in the form of a tender or offer to negotiate prices. The contractor is
often estimating the price with high accuracy to ensure that the work is carried out under the prescribed financial terms and uses every method of calculating the estimated cost for construction. Most construction companies
follow a scientific procedure to calculate the construction cost of a project
and to develop appropriate pricing of the tender.
There are some work, facilities, and equipment provided by subcontractors
and the subcontractors send the bids for the project to the general contractor,
who in turn studies the offers, chooses the best price, and adds the percentage of indirect cost and profit. This is included in the cost of supervision
and nonprofit expenses, in addition to the direct cost of other factors and is
conducted by:
•	 Subcontractors offers
•	 Expense amounts
•	 Construction procedures and steps
2.10.7 Cost Estimate to Project Control
The cost estimate will be calculated to follow up during project execution.
The cost estimate will be obtained from the following information:
•	 Approximate budget
•	 Budget value after contract and before construction
•	 Estimated costs during construction
Both the owner and the contractor must have a baseline by which to control
costs during project execution. The calculation of the detailed cost estimates
is often used to determine an estimate of construction where the balance is
sufficient to identify the elements of the entire project as a whole. The contractor price submitted by the tender with the time schedule is determined
by the estimated budget and is used to control costs during the implementation of the project. The estimated cost of the budget will be updated periodically during the execution of the project to follow up the cash flow in an
appropriate manner along the project period time.Construction Management for Industrial Projects 47
2.10.8 Economic Analysis of Project Cost
The project cost consists of two parts: direct and indirect costs.
Direct costs are the costs of implementing the activities of the project as set
forth in the drawings and project documents. The resources to be provided
for the implementation of these activities are:
1. Raw materials
2. Employment
3. Equipment
4. Contractor errors
5. Other costs
Direct costs do not include expenses related to the supervision of the implementation work.
Indirect costs are expenses that cannot be avoided such as supervising
work and facilitating the implementation. They can also involve terms such
as administrative and general expenses and are usually fixed during the implementation period of the project.
2.10.8.1 Work Breakdown Structure
Most of the projects aim to achieve a certain degree of specific quality. This
objective can be divided into a set of components that reflect the entire project example; if the desired goal is to build a building, it can be identified by
five main components:
•	 Public works site
•	 Concrete structure
•	 Mechanical
•	 Electrical
•	 Finishing works
However, if the project’s aim is to create a missile defense system, the key
elements will be:
•	 Rocket
•	 Control
•	 Communications
•	 Firing elements
After identification of the first level of the project, elements can be divided
into a subset of components and can continue to be divided down to successive48 Construction Management and Design of Industrial Concrete and Steel Structures
levels of detail to achieve the level of the basic elements of project implementation. Therefore, great importance is attached to the breakdown structure in
making sure that all elements of the project have been taken into account.
The time spent in preparing and processing the WBS is important, as it
will ensure that one of the important elements of project implementation is
not forgotten or deleted. After determining the WBS, work must be put into
a particular method of identifying the elements with a coding system.
2.10.8.2 Organization Breakdown Structure
In the same way that determining the levels of components of the project is
done, systems can be divided, as well as project management and the organizational structure, so that management can understand and facilitate the
identification of responsibilities within the project.
Organization breakdown structure (OBS) assists in surveying work activities. The organization should be known to everyone involved in the project
facilitation of communication and definition of the responsibility. In the organization, structure is usually followed by the project manager and a group of
managers, each of whom oversees a portion of the project. For example, note
that the electrical work supervisor will be responsible only for the activities
required to implement the electrical work for the project. It is clear to us how
important it is to develop a project management structure that is conducive
to the easy flow of information to and from the project manager to support
decision-making.
2.10.8.3 OBS and WBS Matrix
The OBS and WBS matrix is shown in Table 2.7. The OBS in the horizontal and vertical presents the organization. In this table, every person in the
organization has a number of cells that presents the WBS. The project manager is responsible for all the stages, so that cost will be for all activities.
The mechanical supervisor is allocated mechanical work only and the civil
supervisor is allocated the civil work and foundation work.
2.10.8.4 Work Packages
Cost will be divided into work packages. This is the last level for WBS that
presents the project activities and the time schedule and cost that depend
on them. For every activity, it is required to define the following to calculate
cost:
•	 Execution time from start to finish
•	 Resources required to execute this activity
•	 Cost to execute the activityConstruction Management for Industrial Projects 49
Cost account (CA) is the cost budget for the activities executed on the project. It is a budget for every responsible person in the organization and shows
the direct cost that every person is responsible for executing. For example,
the concrete supervisor will be responsible for executing the following
activities:
•	 The foundation with cost $100,000
•	 The first floor with cost $50,000
•	 The other floors $300,000
So, in this case, the concrete supervisor will be responsible for three cost
allocations with a total cost of $450,000.
Indirect cost is, so far, not taken into account, as the indirect expenses do
not figure into the work expenses or, to be more precise, in the execution of
the WBS structure and, therefore, such costs are charged to the administrative management of the project or elements of project management.
As an example, the concrete foreman in the previous example has a salary
and uses equipment and other expenses; these expenses cannot be added
or charged to the specific activities, since he supervises the foundation, columns, slabs, etc. Those expenses must be paid on a regular basis during the
execution of these activities along with any other expenses of the supervisor,
other administrative expenses such as offices for the engineers, technicians,
computers, cars to transport engineers, and expenses and salaries of engineers and senior management.
TABLE 2.7
WBS and OBS Matrix
Planning
Work
Design
Work
Electrical
Work
Mechanical
Work
Foundation
Work
Civil
Work
Project manager × × × × × ×
Planning
supervisor
×
Design supervisor ×
Electrical work
supervisor
×
Mechanical work
supervisor
×
Civil work
supervisor
× ×
Concrete works
supervisor
×
Note: OBS, organization breakdown structure.50 Construction Management and Design of Industrial Concrete and Steel Structures
For example, if concrete work will continue for a period of 6 months and
indirect expenses for each month amount to $8000, the total budget or estimated indirect costs is 6 × 8000 = $48,000. Thus, the total reinforcing concrete
budget will be as follows:
•	 Direct cost = $450,000
•	 Indirect cost = $48,000
•	 Total cost = $498,000
2.10.8.5 Cost Control
Cost control is very important in the management of projects as they relate to
the economics of the project as a whole, which is a key element in the success
of any project.
The objectives of cost control are to follow-up what has been spent compared to what was planned and to identify deviations. Therefore, cost control and intervention are ongoing processes in the domain of the project
manager, who is directly responsible for supervision.
In calculating the actual costs, different costs (employment, materials,
equipment, subcontractors, etc.) must be considered for each calculation
depending on the specific document that was agreed on at the start of the
project. If the actual cost is more than the planned cost, it will be due to the
following reasons:
•	 Low cost estimate
•	 Circumstances of the project not well studied
•	 Increases in the prices of raw materials and labor
•	 Climatic conditions
•	 Poor selection of equipment
•	 Inefficient supervision
While it is difficult to correct the impact of the first four factors, selection of
equipment can be improved and the department should always be aware
and choose competent supervisors or at least help increase their capability.
The cost-control process should be more than simply collecting data on the
cost. The codification of collected data as well as a copy of gains and losses
after implementation of project cost control can be given to the project manager. They will be useful in the analysis of the performance rate of equipment productivities and manpower. A review of the total amount spent on
the project since the beginning of work until the date of the audit will present one of the following three cases:Construction Management for Industrial Projects 51
•	 Which was exactly equal to the spending planned according to the
plan of implementation and estimated budget?
•	 Which spent more than had been planned according to the plan of
implementation? This represents an overexpenditure or cost overrun.
•	 Which spent less than planned according to the plan of implementation? This represents savings in spending or a cost underrun.
In general, overexpenditure is not desirable and must be prevented. If the
analysis can detect the causes so that it can be avoided in the future, that is
desirable. Researching the causes of costs overruns to reduce them in the
future is one of the characteristics of successful project management.
The following parameters are the main tools to control the cost:
ACWP is actual cost work performed
BCWP is budget cost work performed
BCWS is budget cost work scheduled
BAC is budget at completion
EAC is estimation at completion
To illustrate the above factors in a simple way, assume that an activity is
scheduled to be completed in 40 h. The actual work will be 50 h and the work
already completed has taken 40 h. Assume that the cost of 1 h is $100:
ACWP = $5000
BCWP = $4000
BCWS = $4000
Cost variation = ACWP − BCWP
In this example, the cost variation equals $1000.
Percentage of cost deviation = (ACWP − BCWP)/BCWP
Schedule Index (SI) = BCWP/BCWS
When the SI value is higher than 1, it indicates an acceptable performance. A
value less than 1 indicates an unacceptable performance.52 Construction Management and Design of Industrial Concrete and Steel Structures
Cost Index (CI) = BCWP/ACWP
EAC = BAC/CI
As we have stated, these factors must be calculated at regular intervals during project implementation and should preferably be compatible with the
monthly accounting date of the company. The monitoring of these factors
on a monthly basis assists in evaluating the project and the final cost of the
project.
2.10.8.6 The Cost Curve
The cost curve, called the S curve, takes the form of the letter “S” in the calculation of costs and distributions to the timetable. Using the previous example
of pouring the concrete foundations, in Figure 2.17, the first column represents the various activities on the other side, a Gantt chart shows the cost of
each item per the day, and we can easily assume that the cost of every activity cost is $1000 per day.
This is done through the compilation of costs in the bottom row. In the first
case, each activity is started and finished early, and in the second case, each
activity is started and finished late.
When we assign the cumulative cost curve and make the relationship
between the cost and time, we get the S curve, as shown in Figure 2.18. We
1 4 2 3 7 5
21
1K 1K 1K
1K 1K 1K 1K 1K 1K 1K
1K 1K 1K 1K
1K 1K 1K 1K
1K 1K 1K
1K 1K
1K 1K 1K
1K
1K
Activity
1. Mob.
2. Excavation
3. Prep. form
4. Prep. rft.
5. Pour PC
6. Set form
7. Set rft.
8. Pour conc.
Early date cost
Late date cost
3 7 4 5 6 8 9
1 6 2 3 9
11 13 15 18 21 23 25 26 27 28 29
15 16 17
12 15 17 19
10 14 11 12 13 18
21 22 23 24 25 26 27 28 29
9
1K
FIGURE 2.17
Distribution of cost of the activity.Construction Management for Industrial Projects 53
will find the first curve in the case of an early implementation of activities and
the second curve after the activities have been implemented (Figure 2.19).
In Figure 2.20, we find that if the cost curve is higher than planned and we
are in shape to do the work well, it is called “ahead of schedule.” When the cost
curve is within the envelope, this indicates that you are in the scheme called
“within schedule.” Where the curve is less than planned, as in Figure 2.20,
the situation is critical, as the project is late and called “behind schedule.”
5 0
10
15
20
25
30
35
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Time (days)
Cost, K
FIGURE 2.18
Cash flow in the case of early dates.
5 0
10
15
20
25
30
35
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Time (days)
Cost, K
FIGURE 2.19
Cash flow in the case of late dates.54 Construction Management and Design of Industrial Concrete and Steel Structures
Example
The following table gives the values of the cost of planning a project for a period
of 12 months in accordance with the timetable explained earlier. In the projected
6 months after the transaction, we will calculate the position of the crisis to see the
project as presented in Table 2.8.
From Table 2.9, calculate the cost control parameters 6 months from the start
of the project.
TABLE 2.8
Cost per Month
Plan January February March April May June
Work in month 50 100 150 150 150 150
Cumulative 50 150 300 450 600 750
Cost/month 500 1,000 1,500 1,500 1,500 1,500
BCWS 500 1,500 3,000 4,500 6,000 7,500
Plan July August September October November December
Work in month 150 50 100 150 150 150
Cumulative 900 1,500 1,450 1,350 1,200 1,050
Cost/month 1,500 500 1,000 1,500 1,500 1,500
BCWS 9,000 15,000 14,500 13,500 12,000 10,050
5 0
10
15
20
25
30
35
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Time (days)
Behind schedule
Ahead of schedule
Within schedule
Cost, K
FIGURE 2.20
Cash flow envelope.Construction Management for Industrial Projects 55
The parameters in Table 2.9 provide us with tools to evaluate the project every
month as follows:
January
The cost of execution is $300 less than ACWP, so the work is slow, but the cost is
acceptable. The reason for this may be the late hiring of new labor.
February
The work is progressing as planned, but still slow. Deal with this situation by letting work continue on weekends to achieve the required time schedule.
March
The work is close to reaching the plan. The time schedule is not the only problem;
the cost increase is a problem as well.
April
More work was done than planned. Now, the work is going according to schedule
and will return to a normal work mode and end weekend work.
May
The activity increases slightly more than planned, but we are in line with the time
schedule.
June
The work is progressing according to plan. After 6 months, work is proceeding
according to schedule, but there has been an increase in cost. It is expected that
the budget at the end of the project will be about $16,000.
2.10.9 Cash Flow Calculation
Cash flow is the real movement of money from and to the project, also called
the flow of money. The cash flow is positive if money is received by the company.
The cash flow is negative if the money is paid by the company, and the difference between the positive and negative cash flows is called the net cash flow.
In the case of a contractor, the positive cash flow is the money that he
receives from his invoices or monthly payments. The negative cash flow
TABLE 2.9
Cost Control Parameters Calculation
January February March April May June
Cost per month 500 1,000 1,500 1,500 1,500 1,500
BCWS 500 1,500 3,000 4,500 6,000 7,500
BCWP (EV) 300 1,000 1,600 1,600 1,500 1,500
ACWP 300 1,000 1,800 1,800 1,600 1,500
EV cumulative 300 1,300 2,900 4,500 6,000 7,500
ACWP 300 1,300 3,100 4,900 6,500 8,000
CV 0 0 −200 −400 −500 −500
SV 200 200 −100 0 0 0
Cost index 1 1 0.936 0.918 0.923 0.937
Schedule index 0.6 0.87 0.967 1 1 1
BAC 15,000 15,000 15,000 15,000 15,000 15,000
EAC 15,000 15,000 16,034 16,333 26,250 16,00056 Construction Management and Design of Industrial Concrete and Steel Structures
is the money paid for labor salaries, equipment, subcontractors, and other
items during the construction. In any project, the contractor, at some point,
will have a negative cash flow, so money must be provided as an investment.
In the case of increasing the net cash flow, this contract is self-financed.
In general, construction companies work by terms of contractual reservation in case of a lack of funding during a certain period of the project.
2.10.9.1 Cash Flow during the Project
Cash flows are calculated according to your role, whether you are the owner
or a contractor. If you are the owner, you will pay the contractor and engineering offices throughout the project execution time. At the start of the
operation of the project, the owner will gain money from the products; after
a certain period, the owner will obtain profit from the operation along the
facilities’ lifetime.
The process of cash flow during the project has more than one phase, as
shown in Figure 2.21, and is associated with the project plan, overall performance, and cost of the project through the life cycle of the project overall.
During the first period of the project, the preparation of feasibility studies
and preliminary engineering studies, the owner will pay the invoices. When
the project is designed in detail during the define phase, the number of team
members on the project increases as well as the cost.
During the construction phase itself, there is a significant cost increase,
as the rate of spending increases at this stage. There will be large payments
made to purchase materials and equipment and pay contractor invoices. The
maximum negative value during the project comes at the end of the project
and the start of the operational phase.
Project preparation
Design Phase
Procurement and
Construction Phase
Operation Startup
Reoperation
Rehabilitation
Operation
Time
Cost
+ –
FIGURE 2.21
Cash flow along the project lifetime.Construction Management for Industrial Projects 57
After the start of the operation and the sale of the product, which increases
with time, the negative cash flow will decrease until it becomes positive. It
is worth noting that, in the industrial project, after time has elapsed and
depending on the project design, lifetime overhauls will be required as well
as maintenance and rehabilitation, which will decrease profit as shown in
Figure 2.21.
2.10.9.2 Impact on Increasing Cost
Sometimes costs increase during the execution. There are many reasons for
that and the most common is a greater increase in the price of materials
than was estimated. There may be an increase in the foreign exchange rate,
which often occurs and affects the machines that are imported from abroad.
Another factor that increases costs is difference in the quantities from what
was calculated from the drawings. Yet another common example occurs during excavation where different soil characteristics are found than what was
in the soil report or the existence of problems in the soil were not taken into
account. This requires restudies of the soil and foundations, with a change in
the foundations design. This will often cause an increase in costs. All of the
above are project risks and, as they occur, will eventually lead to an increase
in project costs.
Figure 2.22 presents the impact of increases in cost to the project investment with respect to the owner. From this figure, you can find that the time
period to start a positive cash flow increases. Moreover, the total income
from the project at the end of its lifetime is less than in the case of a project
executed within its budget.
Project preparation
Design Phase
Procurement and
Construction Phase
Operation Startup
Reoperation
Rehabilitation
Operation
Time
Cost
+ –
Increase in cost
FIGURE 2.22
Effect of increase in costs on the whole project.58 Construction Management and Design of Industrial Concrete and Steel Structures
2.10.9.3 Project Late Impact
Project delays can occur because of either poor project management or a
problem that cannot be controlled. A clear example is a change in the state
of the country where the project is located that occurs because of political
turmoil and causes the suspension of work for long periods. The planner
and the owner are often experienced in these matters and therefore, those
considerations are usually taken into account. A delay may also occur on
the part of the suppliers, whether through a poor selection or a delay that is
beyond their control.
In any case, the result is the same and it leads to delay in cash flow, as
shown in Figure 2.23, resulting in an increased period before the return of
investment. Projects such as this often have drawn on loans from banks, and
as a result of the delay, we may find that the impact on profitability at the end
of the project lifetime may be more than in the case of increased costs only,
as in Figure 2.23.
2.10.9.4 Impact of Operation Efficiency
Operation efficiency is the responsibility of the owner. When an error occurs
in the operation, either as a result of faulty design or incompatibility with
the requirements of the owner or required reliability, the error usually lies
between the owner and the engineering office.
The most common cause of errors in industrial projects is the lack of choice
regarding high-quality equipment, which affects operation performance and,
thereby, the overall revenue of the project. This is evident in Figure 2.24.
Project preparation
Design Phase
Procurement and
Construction Phase
Operation Startup
Reoperation
Rehabilitation
Operation
Time
Cost
+ –
Time delay
FIGURE 2.23
Effect of project delay on the whole project.Construction Management for Industrial Projects 59
Another reason and an important element is that the operations need to
have experienced, well-trained staff. If there is a lack of competent leaders
and highly skilled professional operators, this will have a negative impact on
production and reduce the overall revenue of the project.
2.11 Project Risk Management
Risk management of a project is the process of identifying risks that could
affect the project and determining how to control them. We must trust that
we can overcome these risks. In general, risks are the events that, if they
occur, will affect the outcome of the project and result in the dissatisfaction
of the stakeholder. To be more specific, they are the events or activities that
can affect performance negatively and increase project costs or time.
Risk management is an ongoing process, from the implementation of the
project to the end of the project, which has substantially fewer pontential
risk. Risks can be classified into two categories:
•	 Project risks—risks that can happen because of technical mistakes
that occur during construction.
•	 Process risks—risks that can occur because of procedural mistakes, lack of communication between the project team, or bad team
performance.
Project preparation
Design Phase
Procurement and
Construction Phase
Operation Startup
Reoperation
Rehabilitation
Operation
Time
Cost
+ –
FIGURE 2.24
Effect of operation performance on the whole investment.60 Construction Management and Design of Industrial Concrete and Steel Structures
2.11.1 Project Risks
The completion of the time schedule will show the risks more clearly.
Knowledge of the risks that may hamper the project is extremely important for the project manager, as this person is responsible for identifying
the activities with higher risk impact on the overall project implementation,
by increasing either the duration or the cost. Therefore, the project manager
should review the planning schedule and identify areas of planning that
contain activities at high risk:
•	 Tasks on the critical path
•	 Tasks requiring long periods to execute
•	 Activities that start at the beginning of other activities
•	 Tasks requiring many individuals for their execution
•	 Complex tasks
•	 Activities and tasks requiring condensed training
•	 Tasks requiring advanced new technology
After you select the tasks that pose a risk to the project and determine their
position relative to other high-risk tasks, you will need to identify and plan
the necessary steps to implement those tasks, follow up on them from day
to day, and be aware of the person responsible for that stage of the project. To get a sense of high-risk activities, let us think together of the case of
the pouring concrete example and answer the question, “What are the risk
activities?” We find that the more serious ones are the excavation activities,
which require a long time to complete as they are in the critical path, and
there is a high probability of delay, in addition to their potential impact on
the entire project.
In the case of the second project, the construction of the pipeline, one finds
that the excavation activity is critical as well. It takes 60 days, the longest
period for any activity and is located on the critical path, but when you study
the project from another point of view, the activity of the arrival of materials
is more risky, as most of the materials are from abroad and, therefore, outside
of full control. Therefore, the probability is high for their delay and that will
have a direct impact on the project completion time.
The project’s success is in achieving the objectives of the project on time
and budget. It is known that there is nothing specific in nature, for example,
specific costs can increase and decrease and the time length and objectives
of the project can change as well. It is worth noting that these three elements
affect each other so the success of the project requires a good control of each
element of the project as presented in Figure 2.25.
There are many areas in the project that are not specific and these are
sources of risks, which include the following:Construction Management for Industrial Projects 61
•	 Activities on the critical path that require long periods to complete
•	 Lack of identification of the project objectives
•	 Incompetent project management
•	 Inaccurate cost estimate
•	 General lack of a positive atmosphere
•	 Achieving customer satisfaction
•	 Rapid change in a resource (see Figure 2.26)
2.11.2 Risk Assessment
Each project has risks, no matter what the project is. Here we focus on the
risks affecting the management of the project, and by knowing the risks, we
can set priorities to develop solutions or mitigations. To assess the risks, we
must answer the following questions accurately and impartially:
•	 What is the exact risk?
•	 How does the risk affect the project?
•	 What can be done to reduce the impact of the risk?
Project target
Time
Cost
Project
Success
FIGURE 2.25
Point of project success.62 Construction Management and Design of Industrial Concrete and Steel Structures
2.11.3 Defining Risk Using Quantitative Risk Assessment
There is another method for determining risks. First, as before, assess the
risk of the project as a whole by a qualitative risk assessment methodology
as part of the feasibility study (Figure 2.27).
At this stage, risks are assessed based on their effect on objectives, time,
and cost. We need an easy way to assess the risks practically. This method is
called quantitative risk assessment.
Initially, you want to determine the risks and you can do that by inviting the working group in the project to a special meeting to determine the
potential risks to the project. At this meeting, use the brainstorming method
Define expected risk
Risk analysis
Define priority
Risk assessment
FIGURE 2.27
Risk assessment tools.
Activities
Time
Near the
Project project end
start
Increase
resources
Decrease
resources
FIGURE 2.26
Change in staff volume during the project.Construction Management for Industrial Projects 63
so that each individual can share his/her thoughts regarding project risks.
The second step is to collect all the ideas and then write them in the order
shown in Table 2.10, which is an example of the basic document for listing
project risks.
Now that all possible risks to the project have been listed, we want to
determine the priorities of those risks. We will again use the experience of
the team in risk assessment. This will be a two-stage evaluation process.
For the first phase, determine the likelihood of a risk on a scale from 1 to 9,
with 1 being the least likelihood of the event and 9 being the greatest probability of the event.
The second stage will require the team to determine the outcome of an
event occurring on the project and the expected losses due to this event. This
is divided into the following categories:
•	 High: The event has a significant impact on the time schedule or cost
of the project.
TABLE 2.10
List of Project Risks
Project name:
Project manager:
Client name:
Item
No.
Key
Stage
Code
Risk
Description
Probability
1–9
Impact (High/
Medium/Low) Date
Risk Degree
(High/
Medium/Low) Responsible
Project manager
signature: Date:64 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Medium: The event has a medium amount of impact on the time
schedule or cost of the project.
•	 Low: The event has a little impact on the time schedule and cost of
the project.
Table 2.11 may be used to determine the risks priorities.
The team must know the probability of the event occurring and what its
impact would be. From the previous matrix shown in Table 2.11, you can
determine the risk category. In a case where there is an unacceptable risk,
that event should be analyzed with high accuracy and there should be a
thorough examination, focusing on finding solutions to the risks, as they
will cause the failure of the whole project if they occur. This means that the
project cannot be carried out as planned because the risks are unacceptable
and must be resolved.
Risks are designated as high in a situation when the event would have a
significant impact on the project schedule and cost. Therefore, it is necessary
to proceed with sustained monitoring and great care.
Medium-risk events, if they occur, will have a medium-level impact on the
project but are not expected to affect the key points. Therefore, they must be
reviewed at each meeting of the project team and with periodic follow-up.
Low-risk events are not expected to have a significant impact on the project,
if they occur, but should be followed up from time to time (Figure 2.28).
The risks that have been assessed as high risk during follow-up may change
due to some work being done that reduces or increases the probability of the
event’s occurrence.
After identifying the risks, order them from high- to low-risk levels. For
every item, find a solution and identify accurately who has the responsibility for the activities that reduce the risk of those events. This is illustrated in
Table 2.12.
2.11.4 Qualitative Risk Assessment
A recognized method for calculating risks is the probability of the event
occurring with knowledge of the impact of that event on the project as a
whole. The importance is calculated by means of monetary value and, from
TABLE 2.11
Risk Assessment Matrix
Impact on the Project
Low Medium High
Probability of
occurring event
7–9 Medium High Not acceptable
4–6 Low High Not acceptable
1–3 Low Medium HighConstruction Management for Industrial Projects 65
that, the degree of the event impact on the project will be defined. Some
modern views inevitably take into account the ability to manage the event
and understand that there are some pitfalls that can be solved easily managerially. For example, discrepancies between departments can be solved
through the convening of a meeting between the departments from time to
time. Therefore, because this event is very easy to manage, it receives a lower
score (to decrease the whole risk-score value) for the manageability of the
event. On the other hand, if the problem is related to contact with an outside
TABLE 2.12
Risk Management
Project:
Project manager:
Risk title: Risk number:
Risk description:
Probability: 1 2 3 4 5 6 7 8 9
Impact: High Medium Low
Risk degree:
Project areas that will be affected by the event:
Ordering of the event impact on the project:
Solution step: Who is responsible:
Prepared by:
Project manager signature: Date:
Risk control
Define solutions
Emergency plan
Monitor and control
FIGURE 2.28
Steps in controlling risks.66 Construction Management and Design of Industrial Concrete and Steel Structures
organization (a clear example of this is a deal with the government), it would
be difficult to manage the event as it is remote from the project and cannot be
easily controlled. Therefore, this event receives a higher score.
We note that the ability to manage the situation so as to avoid the occurrence of a risky event is very important. It is also crucial to appoint competent person who can manage the event if it happens because in some cases,
the barriers to success are incompetence and lack of skills of the person
responsible.
References
PMPGuide Book. 2000.
Tricker, R. 1997. ISO 9000 for Small Business: A Guide to Cost-Effective Compliance.
Butterworth-Heinemann.67
3
Loads on Industrial Structures
3.1 Introduction
The philosophy behind designing and constructing any load-bearing structure will affect the structure along its lifetime. The structure’s probability of
safety depends on the fluctuations of its load and this increases the importance of its design. The types of loads and their values vary according to
geographic location. In European countries, the ice load is the most critical
factor in the design of structures, whereas in Middle Eastern countries with
very hot climates, especially in summer, the thermal load caused by increasing temperature is the most critical factor.
To define loads, we must think about an answer to a very important question, “What is the building’s designed lifetime?” The answer to this question
is easy in the case of residential buildings, but for commercial, industrial,
and special-purpose buildings, it is not easy. The answer depends on the
project economy as a whole. To know the structural lifetime is very important for structures that are affected by loads such as wind, earthquake, or
waves in the case of offshore structures.
3.2 Loads
The main factors that must be considered in structural design are the definition of the load on the structure and the calculation of the structural resistance to that load. Defining the load values is the first step in the structural
design process. The load values that the designer will consider are defined
according to codes and specifications. There are different types of loads and
we will look at them in the following sections.68 Construction Management and Design of Industrial Concrete and Steel Structures
3.2.1 Dead Load
A dead load is a constant load caused by the weight of the structure itself.
It can be determined if the dimensions of the structural elements and the
density of the materials are known. The structural members will be made
from concrete, steel, wood, and other materials. For the first step, it is necessary to know the preliminary dimensions of the structure and the materials
from which it will be constructed. The dead load also includes the weight of
finishing materials such as plaster, tiles, brick walls, and materials not considered part of the main structure.
It is important during design to remember that dead load is a large portion
of the total load and, therefore, the weight of the building members must be
calculated precisely, especially in the case of a reinforced concrete structure.
The density for different materials usually used in buildings is listed in
Table 3.1 to be considered in calculating a dead load.
3.2.1.1 General Design Loads
The main concept of the design of new facilities, buildings, and other structures—including floor slabs and foundations—is the ability to resist loads
throughout the structures’ lifetimes.
The minimum live load shall be given on two documents (the statement of
requirements and basis of design) and in the standard code of the project. It
shall refer to the local building codes for the country of your facilities location as defined by the client. In general, the traditional code for minimum
loads in industrial buildings is SEI/ASCE 7-05.
In addition to the loads we discuss in this chapter, other loads shall be
considered as appropriate. These loads shall include, but are not limited to,
snow, ice, rain, hydrostatic, dynamic, upset conditions, earth pressure, vehicles, buoyancy, and erection. The rain and snow load shall be defined according to the environmental conditions of the location of the project.
It is worth noting that the prediction of future loads shall be considered in
the design when specified by the owner or by the engineering companies,
based on their past experience. The eccentric loads for the piping, platforms,
and other elements of the structure, particularly on horizontal and vertical
vessels and heat exchangers, shall be considered. These loads are illustrated
by examples in Chapter 6.
The dead load is the actual weight of the materials forming the building,
structure, foundation, and all permanently attached appurtenances that are calculated from the dimensions and the material density as in Table 3.1. The dead
load includes the weights of fixed process equipment and machinery, piping,
valves, electrical cable trays, and also their contents. Throughout this book, the
dead load nomenclature will be D
s, Df, De, Do, and Dt. Ds is the structure dead
load, which is the weight of the structural materials (not the empty weight
of process equipment, vessels, tanks, piping, nor cable trays), the foundation,Loads on Industrial Structures 69
TABLE 3.1
Weight of Different Materials
Material Type kg/m3
Plain concrete 2200
Reinforced concrete 2500
Light weight concrete 1000–2000
Air entrained concrete 600–900
Heavy concrete 2500–5500
Cement (loose) 1100–1200
Clinker 1500–1800
Big aggregate 1700
Sand 1500
Foamed aerated slag 1700
Granulated 1200
Expanded clay 200–900
Pumice stone 350–650
Exfoliated vermiculite 60–200
Fly ash 600–1100
Water 1000
Liquid or powder 1000–1200
Masonry Stones
A. Igneous rocks
Granite 2800
Basalt 3000
Basalt lava 2400
Trechzte 2600
B. Sedimentary rocks
Limestone 2700
Marble 2800
Sandstone 2700
C. Transformed rocks
Slate 2800
Gneiss 3000
Serpentine 2700
Marble 2700
Masonry bricks
Red brick 1600–1800
Solid brick 1850
Hollow brick 1400
Light brick 700–800
Refractory Brick for General Purposes
Fire clay 1850
Silica 1800
(continued)70 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 3.1 Continued
Weight of Different Materials
Material Type kg/m3
Magnesite 2800
Chrome-magnesite 3000
Chorundum 2600
Brick anti acid 1900
Glass brick 870
Masonry Blocks
Concrete blocks 1400–1900
Hollow concrete blocks 1150
Leca concrete blocks 600–800
Gypsum blocks 950
Lime
Limestone powder 1300
Calcined, in lumps 850–1300
Calcined 600–1300
Calcined slaked 110
Gypsum 800–1000
Mortar
Cement mortar 2100
Lime mortar 1800
Lime cement mortar 750–1800
Gypsum mortar 1400–1800
Bitumin mortar with sand 1700
Wood and Substitutes
A. Hardwood
Beech 680
Oak 790
B. Softwood
Pitch pine 570
White wood 400
C. Fiberboard
Hard 900–1100
Medium–hard 600–850
Porous insulating 250–400
Plywood 750–850
Core board 450–650
Other Building Materials
Asbestos 800
Asbestos boarders 1600
Asbestos cement pipe 1800
(continued)Loads on Industrial Structures 71
TABLE 3.1 Continued
Weight of Different Materials
Material Type kg/m3
Celton 120
Dry earth 1700
Wet earth 2000
Rubber floor 1800
Asphalt 3200
Bitumen 1000–14,000
Tar 1100–1400
Cement tile 2400
Mosaic tile 2200
Epoxy resin
Without fills 1150
With mineral materials 2000
With fiberglass 1800
Plastic tile 1100
Polyester resin 1350
Polyethelene 930
PVC hardboard 1400
PVC flooring board 1600
PVC flooring tile 1700
Fiberglass 160–180
Glass wool 100–110
Slag wool 200–300
Cork 60
Plaster 1100–1500
Glass, in sheets 2500
Wired glass 2600
Acrylic glass 1200
Linen baled 600
Leather, in piles 900–1000
Paper
In stocks 1200
In rolls 1100
Rubber
Rolled-up flooring materials 1300
Raw balled 1100
Wool
Bales 700
Pressed baled 1300
Metallic Materials
Steel 7850
(continued)72 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 3.1 Continued
Weight of Different Materials
Material Type kg/m3
Wrought iron 7850
Cast iron 7250
Iron ore 3000
Aluminum 2700
Aluminum alloy 2800
Lead
White lead (powder) 9000
Red lead (powder) 8000
Copper 8700–8900
Brass 8300–8500
Bronze 8900
Nickel 7900
Zinc 8200
Zinc rolled 7200
Tin rolled 7200–7400
Magnesium 1850
Antimony 6620
Barium 3500
Cadmium 8650
Cobalt 8700
Gold 19,300
Silver 10,500
Manganese 7200
Molybdenum 10,200
Platinum 21,300
Titanium 4500
Tungsten 19,000
Uranium 5700
Vanadium 5600
Zirconium 6530
Fuels
Mineral coal 900–1200
Coke 450–650
Charcoal 250
Coal dust 700
Oils
Diesel oil 800–1000
Crude oil 950
Petrol (gasoline) 800–850
(continued)Loads on Industrial Structures 73
TABLE 3.1 Continued
Weight of Different Materials
Material Type kg/m3
Petroleum
Liquid gas
Propane 500
Butane 580
Wood
Hardwood chopped 400–600
Hardwood logs 500
Softwood chopped 250
Softwood logs 300
Firewood 400
Liquids
Glycerin 1250
Oil paint, canned, or boxed 1100
Milk, in tanks 950–1000
Milk, in boxes 1000
Milk, in cans 600
Honey, in tanks 1300
Honey, in boxes 1000
Honey, in tanks 600
Nitric acid 1500
Hydrochloric acid 1200
Sulfuric acid 1400
Food Stuffs and Agricultural Products
Butter, in barrel 550
Butter, in boxes 500–800
Sugar, in paper 600
Sugar, in big boxes 800
Hump sugar, in paper sacks 600
Sugar, boxed 700
Tea packet 400
Alcohol 800
Butter, in tanks 1000
Butter, in barrel 900
Cacao, in boxes 550
Eggs, in carton carries 550
Fat boxed 800
Fish, in barrel 600
Fish in 800
Fruits, in boxes 350–400
(continued)74 Construction Management and Design of Industrial Concrete and Steel Structures
the soil above the foundation resisting uplift, and all permanently attached
appurtenances. Examples of this are the lighting, instrumentation, HVAC
(heating, ventilating, and air conditioning), sprinkler and deluge systems, fireproofing, and insulation. Df is the erection dead load, which is the fabricated
weight of the process equipment or vessels. De is the empty dead load, which
is the empty weight of process equipment, vessels, tanks, piping, and cable
trays. Do is the operating dead load, which is the weight of process equipment,
vessels, tanks, piping, and cable trays filled with fluid under normal operating conditions. Dt is the test dead load and comprises the weight of process
TABLE 3.1 Continued
Weight of Different Materials
Material Type kg/m3
Fruits storage 500–700
Hay, baled 150–200
Maize corn 450
Margarine, in barrels 550
Margarine, in boxes 700
Meat, refrigerated 400–700
Onion, in bags 550
Pickled, bottled in sacs 700
Drinks bottled 800
Rise 500
Rise, in bags 560
Salt, in piles 10,000
Salt, in bags 1120
Starch flour, in bags 800
Straw baled 170
Tobacco baled 300–500
Wheat 800–900
Wine, in tanks 1000
Wine, in barrels 850
Coffee, in bags 700
Soap powder, in sacks 610
Other Materials
Books and files 1000–1100
Ice, in blocks 850–900
Textiles 1100
Cellulose, baled 800
Cloth, baled 700–1300
Cotton, baled 500
Hemp, baled 400
Jute, baled 700Loads on Industrial Structures 75
equipment, vessels, tanks, and piping filled with water for test procedures. It
should be noted that, in some cases, they may be filled with nitrogen.
To consider all the possible situations that could occur during the structure’s lifetime, the structural engineer shall obtain all the available data
through cooperation with static equipment or pressure vessel engineers as
well as the operations engineers as these parameters depend largely on the
mode of operation.
3.2.1.2 Pipe Rack
A famous structure in any industrial project is the pipe rack that carries the
piping and the cable tray. At the beginning of the design process, the actual
piping load and that of the cable tray will not be precisely defined. The structural engineer will have the precise actual load data at the end of the project
and the first activity on-site is the civil and structure work. Instead, we will
use the following estimate loads for the piping and cable tray to begin the
design. These nearly match the actual loads and, in the final phase, will be
checked against the actual load.
•	 Piping loads
1. Dead loads for the piping carried on pipe racks shall be estimated
using the following measurements, unless the actual load information is available and requires otherwise.
(a) Operating dead load (Do): a uniformly distributed load of 40
psf (1.9 kPa) for piping, product, and insulation. This value is
equivalent to schedule 40 pipes, 8 in. (203 mm) in diameter,
full of water, at 15-in. (381-mm) spacing.
(b) Empty dead load (De): for checking uplift and components
controlled by minimum loading, 60% of the estimated piping operating loads shall be used if combined with a wind or
earthquake load, unless the actual conditions require a different percentage.
(c) Test dead load (Dt): the empty weight of the pipe plus the
weight of a test medium contained in a set of simultaneously
tested piping systems. Unless otherwise specified in the contract documents or by the owner, a minimum specific gravity
of 1.0 shall be used for the test medium.
2. For any pipe larger than 12 in. (304 mm) in nominal diameter,
a concentrated load, including the weight of piping, product,
valves, fittings, and insulation, shall be used instead of the 40-psf
(1.9-kPa) load used for 8-in. pipes. This load shall be uniformly
distributed over the pipe’s associated area.
3. Pipe racks and their foundations shall be designed to support
loads associated with full utilization of the available rack space76 Construction Management and Design of Industrial Concrete and Steel Structures
and any specified future expansions. Among all the disciplines
represented on an industrial project, structural engineers have the
hardest luck. Unlike other disciplines, they must perform activities before the actual load data can be obtained. Therefore, it is
necessary to use load values obtained from past experiences and
projects. They will have the actual data about the load after procurement and before running the final simulation of the piping
stress analysis. The guidelines below are derived from the experience of engineering offices and shall be used in conjunction with
the structural engineer’s judgment, good industrial practice, and
owner specifications.
•	 Pipe rack cable tray loads
Dead loads for cable trays on pipe racks shall be estimated as follows
(unless actual load information is available and requires otherwise):
1. Operating dead load (Do): a uniformly distributed dead load of 20
psf (1.0 kPa) for a single level of cable trays and 40 psf (1.9 kPa) for
a double level of cable trays. These values estimate the full (maximum) level of cables in the trays.
2. Empty dead load (De): to check uplift and components controlled
by minimum loading, a reduced level of cable tray load (i.e., the
actual configuration) shall be considered the empty dead load.
The engineer’s judgment shall be exercised in defining the dead
load for uplift conditions.
3.2.1.3 Ground-Supported Storage Tank Loads
Dead loads for ground-supported storage tanks use the same nomenclature
as the dead loads in the previous sections. Here we will discuss the individual load components that make up the dead loads. They are separated here
by their actual use and design.
1. Operating dead load (Do): The operating dead load for a groundsupported storage tank is made up of the metal load from the tank
shell and roof, vertically applied through the wall of the tank, as
well as the fluid load from the stored product. The fluid load acts
through the bottom of the tank, not vertically through the wall of the
tank. Therefore, the metal dead load and the fluid load must be used
separately by design.
2. Empty dead load (De): To check uplift and components controlled
by minimum loading, the corroded metal weight (when a corrosion
allowance is specified) shall be considered the empty dead load.
3. Test dead load (Dt): The test dead load for a ground-supported storage tank is made up of the metal load from the tank shell and roof,Loads on Industrial Structures 77
vertically applied through the wall of the tank, as well as the fluid
load from the test medium. The fluid load acts through the bottom
of the tank, not vertically through the wall of the tank. Therefore,
the metal dead load and the fluid load must be used separately by
design. The test medium shall be as specified in the contract documents or as specified by the owner. Unless otherwise specified, a
minimum specific gravity of 1.0 shall be used for the test medium.
The load and design principle of storage tanks, with examples, is illustrated
in Chapter 5.
3.2.2 Live Loads
Live loads (L) are gravity loads produced by the use and occupancy of buildings and structures. These include the weight of all movable loads such as
personnel, tools, miscellaneous equipment, movable partitions, wheel loads,
parts of dismantled equipment, stored material, and other related materials.
Areas specified for maintenance (e.g., the servicing of heat exchanger tube
bundles) shall be designed to support the live loads.
The minimum live loads shall be in accordance with SEI/ASCE 7-05, applicable codes and standards, and, unless otherwise specified, the values illustrated in Table 3.2 can be used.
The uniform and concentrated live loads listed in Table 3.2 shall not be
applied simultaneously.
According to SEI/ASCE 7-05, concentrated loads of 1000 lb (4.5 kN) or more
may be assumed to be uniformly distributed over an area of 2.5 × 2.5 ft (750
× 750 mm) and shall be located to produce the maximum load effects in the
structural members. Stair treads shall be designed according to Occupational
Safety and Health Administration (OSHA) regulations or building codes, as
applicable. Live load reductions shall be in accordance with SEI/ASCE 7-05.
TABLE 3.2
Minimum Live Loads
Structure Type Uniforma Concentrateda
Stairs and exit ways 100 psf (4.8 kN/m2) 1000 lb (4.5 kN)
Operating, access platforms, and
walkways
75 psf (3.6 kN/m2) 1000 lb (4.5 kN)
Control, I/O, HVAC room/floors 100 psf (4.8 kN/m2) 1000 lb (4.5 kN)
Manufacturing floors and storage areas
Light 125 psf (6.0 kN/m2) 2000 lb (9.0 kN)
Heavy 250 psf (12.0 kN/m2)b 3000 lb (13.5 kN)
Ground-supported storage tank roof 25 psf (1.2 kN/m2) NA
a Loads provided in this table are to be used unless noted otherwise on the owner’s
data sheet.
b This 250 psf (12.0 kN/m2) live load includes small equipment.78 Construction Management and Design of Industrial Concrete and Steel Structures
For manufacturing floor areas not used for storage, it is acceptable to use the
live load reduction specified by SEI/ASCE 7-05. The loadings on handrails
and guardrails for process equipment structures shall be in accordance with
OSHA regulations (29 CFR 1910). The loadings on handrails and guardrails
for buildings and structures under the jurisdiction of a building code shall
be in accordance with that code.
3.2.3 Wind Loads
Wind load (W) is the most critical influence on some projects because of location. In industrial, nonbuilding structures, wind loads shall be computed and
applied in accordance with SEI/ASCE 7-05. Oil and gas projects shall also follow the recommended guidelines for open-frame structures, pressure vessels,
and pipe racks based on the ASCE guidelines for wind loads and anchor bolt
design for petrochemical facilities unless otherwise specified by the client’s
requirements (ASCE 1997). The owner shall be consulted on the determination
of the classification category, which will be based on the location of the project.
3.2.3.1 Basic Wind Load Formula
Recently, it became possible to use computer software designed for structural analysis that calculates the self-weight of a structural member after you
define its materials and dimensions. The finishing materials and the dead
load of the structure must be input manually.
Wind loads shall be computed and applied in accordance with SEI/ASCE 7
and the recommended guidelines for pipe racks and open-frame structures
contained in Wind Loads and Anchor Bolt Design for Petrochemical Facilities
(ASCE, 1997). Using this method, wind load calculations shall be based on
the basic wind speed, V, of a 3-s gust at 33 ft (10 m) above the ground at
exposure C and the annual probability of 0.02 being equaled or exceeded
(50-year mean recurrence interval). The basic wind speed, V, for each site
shall be obtained from the owner or from the code of the country in which
these facilities will be built. Based on experience, the importance factor (I)
shall be category IV.
In most cases, facilities for industrial businesses, such as the oil and gas
business, shall be located away from the buildings and exposure C shall be
used. In some cases, the facilities will be near the shoreline so exposure D is
more appropriate. As defined by ASCE 7-02, exposure D is defined as “flat,
unobstructed areas exposed to wind flowing over open water for a distance
of at least 1 mi (1.61 km).”
The exposure categories designated by ASCE7-02 are as follows:
•	 Exposure B: Urban and suburban areas, wooded areas, or other terrain with numerous, closely spaced obstructions having the size of
single-family dwellings or larger.Loads on Industrial Structures 79
•	 Exposure C: Open terrain with scattered obstructions having heights
generally less than 30 ft (9.1 m). This category includes flat open country, grasslands, and all water surfaces in hurricane-prone regions.
•	 Exposure D: Flat, unobstructed areas and water surfaces outside
hurricane-prone regions. This category includes smooth mud flats,
salt flats, and unbroken ice.
The applied wind force, F, shall be determined by the basic equation from
ASCE 7-02:
F = qzGCfAe (3.1)
where
qz = Velocity pressure at height z above ground
G = Gust effect factor
Cf = Net force coefficient
A
e = Projected area
Velocity pressure qz is determined in accordance with the provisions of
Section 6.5.10 of ASCE 7-02.
qz = 0.613 KzKztKdV2I (N/m2)
where
K
z = Velocity pressure exposure coefficient defined in SEI/ASCE 7-05. This
is shown in Table 3.3.
K
zt= Topographic factor as in SEI/ASCE 7-05. Kzt is equal to 1.0 for pipe
racks and open-frame structures with normal topography.
Kd = Wind directionality factor (see Table 3.4), which is adapted from
ASCE 7-02. When used with load combinations, Kd is equal to 0.85 for
pipe racks and open-frame structures.
V = Basic wind speed of a 3-s gust at 11 m (33 ft) above the ground.
I = Importance factor, depending on the occupation category shown in
Table 3.5 and the occupancy category shown in Table 3.6. For most
category IV structures, I = 1.15. In most cases, pipe racks and openframe structures are considered category IV structures.
It shall be noted that, for process industry facilities, SEI/ASCE 7-05 category III is the most likely classification because of the presence of hazardous
materials. Category II may be used if the owner can demonstrate that release
of the hazardous material does not pose a threat to the public.
•	 Gust effect factor
The gust effect factor, G, is determined in accordance with ASCE 7-02,
which contains an equation for calculating G. For rigid structures,80 Construction Management and Design of Industrial Concrete and Steel Structures
the gust effect factor shall be taken as G = 0.85, as illustrated in ASCE
7-02. This value shall be used for all pipe racks and open-frame
structures.
•	 Force coefficient
The force coefficient, Cf, for various structures shall be as listed as
discussed in the following sections, based on guidelines regarding
the shape of the equipment.
TABLE 3.3
Velocity Pressure Exposure Coefficients, Kh and Kz
Height above
Ground Level,
z (m)
Exposure (Note I)
B C D
Case 1 Case 2 All All
0–4.6 0.70 0.57 0.85 1.03
6.1 0.70 0.62 0.90 1.08
7.6 0.70 0.66 0.94 1.12
9.1 0.70 0.70 0.98 1.16
12.2 0.76 0.76 1.04 1.22
15.2 0.81 0.81 1.09 1.27
18 0.85 0.85 1.13 1.31
21.3 0.89 0.89 1.17 1.34
24.4 0.93 0.93 1.21 1.38
27.4 0.96 0.96 1.24 1.40
30.5 0.99 0.99 1.26 1.43
36.6 1.04 1.04 1.31 1.48
42.7 1.09 1.09 1.36 1.52
48.8 1.13 1.13 1.39 1.55
54.9 1.17 1.17 1.43 1.58
61.0 1.20 1.20 1.46 1.61
76.2 1.28 1.28 1.53 1.68
91.4 1.35 1.35 1.59 1.73
106.7 1.41 1.41 1.64 1.78
121.9 1.47 1.47 1.69 1.82
137.2 1.52 1.52 1.73 1.86
152.4 1.56 1.56 1.77 1.89
Note: Where
Case 1:
(a) All components and cladding
(b) Main wind force resistance system in low-rise buildings
Case 2:
(a) All main wind force resisting systems in buildings except those in
low-rise buildings designed
(b) All main wind force resisting systems in other structuresLoads on Industrial Structures 81
•	 Projected area
The projected area, Ae, the normal wind direction for the various
structures in question, shall be as defined in this guideline.
3.2.3.2 Wind Loads on Pipe Racks and Open-Frame Structures
3.2.3.2.1 Pipe Racks
Wind on the pipe rack structure itself should be calculated assuming no
shielding.
For all structural members except columns, Cf = 1.8 shall be used. For columns, Cf = 2.0 shall be used.
•	 Tributary area for piping
The tributary area for piping shall be based on the diameter of the
largest pipe plus 10% of the width of the pipe rack. This sum is multiplied by the length of the pipes (bent spacing) to determine the
tributary area.
•	 Tributary area for cable trays
The tributary area for cable trays shall be based on the height of
the largest tray plus 10% of the width of the pipe rack. This sum is
multiplied by the length of the pipes (bent spacing) to determine the
tributary area.
TABLE 3.4
Wind Directionality Factor, Kd
Structure Type Directionality Factor, Kd
Buildings
Main wind force resisting system 0.85
Components and cladding 0.85
Arched roofs 0.85
Chimneys, tanks, and similar structures
Square 0.90
Hexagonal 0.95
Round 0.95
Solid signs 0.85
Open signs and lattice framework 0.85
Trussed towers
Triangular, square, rectangular 0.85
All other cross sections 0.9582 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 3.5
Occupancy Category of Buildings and Other Structures for Flood, Wind, Snow,
Earthquake, and Ice Loads
Occupancy
Category Description
I Buildings and other structures that represent a low hazard to human life in the
event of failure, including, but not limited to
•	 Agricultural facilities
•	 Certain temporary facilities
•	 Minor storage facilities
II All buildings and other structures except those listed in Occupancy Categories
I, III, and IV
III Buildings and structures that represent a substantial hazard to human life in the
event of failure, including, but not limited to
•	 Buildings and other structures where more than 300 people congregate in one area
•	 Buildings and other structures with daycare facilities with a capacity greater
than 150
•	 Building and other structures with elementary school or secondary school
facilities with a capacity of more than 250
•	 Buildings and other structures with a capacity of more than 500 for colleges
or adult education facilities, health care facilities with a capacity of 50 or
more resident patients, but not having surgery or emergency treatment
facilities, jails, and detention facilities
Buildings and other structures, not included in occupancy category IV, with
potential to cause a substantial economic impact and/or mass disruption of
day-to-day civilian life in the event of failure, including, but not limited to:
•	 Power generating stations
•	 Water treatment facilities
•	 Sewage treatment facilities
•	 Telecommunication centers
Buildings and other structures not included in occupancy category IV
(including, but not limited to, facilities that manufacture, process, handle,
store, use, or dispose of such substances as hazardous fuels, hazardous
chemicals, hazardous waste, or explosives) containing sufficient quantities of
toxic or explosive substances to be dangerous to the public if released
Buildings and other structures containing toxic or explosive substances
IV Buildings and other structures designated as essential facilities, including, but
not limited to:
•	 Hospitals and other health care facilities having surgery or emergency
treatment facilities.
•	 Fire, rescue, ambulance, and police stations, and emergency vehicle garages.
•	 Designated earthquake, hurricane, or other emergency shelters.
•	 Designated emergency preparedness, communication, and operation
centers, and other facilities required for emergency response.
•	 Power generating stations and other public utility facilities required in an
emergency.
(continued )Loads on Industrial Structures 83
•	 Force coefficients for pipes
The force coefficient, Cf = 0.7, shall be used as a minimum. The force
coefficient, Cf, is taken from ASCE 7-02, as shown in Table 3.7 for a
round shape, with h/D = 25, D qz > 2.5, and a moderately smooth
surface, that is, Cf = 0.7. If the largest pipe is insulated, then consider
using a Cf for a rough pipe, depending on the roughness coefficient
of the insulation, (D′/d).
TABLE 3.5 Continued
Occupancy Category of Buildings and Other Structures for Flood, Wind, Snow,
Earthquake, and Ice Loads
Occupancy
Category Description
•	 Ancillary structures (including, but not limited to, communication towers,
fuel storage tanks, cooling towers, electrical substation structures, fire water
storage tanks or other structures housing or supporting water, or other
fire-suppression material or equipment) required for operation of occupancy
category IV structures during an emergency.
•	 Aviation control tower, air traffic control center, and emergency aircraft
hangars.
•	 Water storage facilities and pump structures required to maintain water
pressure for fire suppression.
•	 Buildings and other structures having critical national defense functions.
•	 Buildings and other structures (including, but not limited to, facilities that
manufacture, process, handle, store, use, or dispose of such substances as
hazardous fuels, hazardous chemicals, or hazardous waste) containing
highly toxic substances where the quantity of the material exceeds a
threshold quantity established by the authority having jurisdiction.
(Buildings and other structures containing highly toxic substances are
eligible for classification as category II structures.)
TABLE 3.6
Importance Factor, I (Wind Loads)
Category
Nonhurricane-Prone Regions and
Hurricane-Prone Regions, Where
V = 85–100 mi/h, and Alaska
Hurricane-Prone Regions, Where
V > 100 mi/h
I 0.87 0.77
II 1.00 1.00
III 1.15 1.15
IV 1.15 1.1584 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Force coefficients for cable trays
For cable trays, the force coefficient Cf = 2.0 shall be used. The force
coefficient, Cf, for cable trays is taken from ASCE 7-02. Table 3.7 gives
the force coefficient for a square shape with the face normal to the
wind and with h/D = 25, that is, Cf = 2.0.
3.2.3.2.2 Open-Frame Structures
Wind loads shall be calculated in accordance with the general procedures
and provisions of ASCE 7-02 for wind loads on “other structures.” The
force coefficients of components for wind loads for the design of individual
TABLE 3.7
Force Coefficient Factor (Cf) for Chimneys, Tanks, Rooftops, and Similar Structures
Cross Section Type of Surface
h/D
1 7 25
Square (wind normal to face) All 1.3 1.4 2.0
Square (wind along diagonal) All 1.0 1.1 1.5
Hexagonal or octagonal All 1.0 1.2 1.4
Round (D q ′ z > 2 5 . )
(D q ′ z > 5.3, D in m, qz in N/m2)
Moderately smooth 0.5 0.6 0.7
Rough (D′/D = 0.02) 0.7 0.8 0.9
Very rough (D′/D = 0.08) 0.8 1.0 1.2
Round (D q ′ z > 2 5 . )
(D q ′ z ≤ 5.3, D in m, qz in N/m2)
All 0.7 0.8 1.2
Note: The design wind force shall be calculated based on the area of the structure projected on
a plane normal to the wind direction. The force shall be assumed to act parallel to the
wind direction.
Linear interpolation is permitted for h/D values other than shown.
D, diameter of circular cross section and least horizontal dimension of square, hexagonal, or octagonal cross sections at elevation under consideration, in feet (meters); Dʹ,
depth of protruding elements such as ribs and spoilers, in feet (meters); h, height of structure, in feet (meters); qz, velocity pressure evaluated at height z above ground, in pounds
per square foot (N/m2).
TABLE 3.8
Force Coefficient (Cf) for Miscellaneous Structures
Item Cf Projected Area
Handrail 2.0 0.24 m2/m
Ladder without cage 2.0 0.15 m2/m
Ladder with cage 2.0 0.23 m2/m
Solid rectangles and flat plates 2.0
Stair with handrail
Side elevation
End elevation
2.0
2.0
Handrail area plus channel depth
50% gross area
Source: ASCE, 40262, Wind Load and Anchor Bolt Design for Petrochemical Facilities, ASCE, New
York, 1997.Loads on Industrial Structures 85
components, cladding, and appurtenances (excluding vessels, piping, and
cable trays) shall be calculated according to the provisions of ASCE 7-02.
Table 3.8 presents the force coefficients for several items as a guideline.
3.2.3.2.2.1 Open-Frame Load The wind forces used in the design of the main
wind force resisting system for an open-frame structure should be determined
by Equation (3.1). The structure is idealized as two sets of orthogonal frames.
The maximum wind force on each set of frames is calculated independently,
noting that Cf accounts for the entire structure in the direction of the wind.
Wind forces are calculated for the structure as a whole. The method is
described for structures that are rectangular in plan and elevation. The
solidity ratio, ε, for pipe rocks is
ε = A
s/Ag (3.2)
where
A
g = Gross area of the windward frame
A
s = Effective solid area of the windward frame defined by the
following:
1. The solid area of a frame is defined as the solid area of each element in the plane of the frame projected normal to the nominal
wind direction. Elements considered as part of the solid area
of a frame include beams, columns, bracing, cladding, stairs,
ladders, handrails, etc. Items such as vessels, tanks, piping, and
cable trays are not included in calculations of the solid area of the
frame; the wind loads on these items are calculated separately.
2. The presence of flooring or decking does not cause an increase in
the solid area beyond the inclusion of the thickness of the deck.
3. For structures with frames of equal solidity, the effective solid
area should be taken as the solid area of the windward frame.
4. For structures where the solid area of the windward frame
exceeds the solid area of the other frames, the effective solid
area should be taken as the solid area of the windward frame.
5. For structures where the solid area of the windward frame is
less than the solid area of the other frames, the effective solid
area should be taken as the average of all the frames.
The calculation of force coefficients, Cf, depends on the spacing between the
frame and its width and the ratio between the area of the steel frame and the
total applied wind load.
The force coefficient for a set of frames shall be calculated by
Cf = CDg/ε (3.3)86 Construction Management and Design of Industrial Concrete and Steel Structures
where C
Dg is the force coefficient for the set of frames given in Figure 3.1 and
ε is the solidity ratio calculated according to Equation (3.3).
Force coefficients are defined for wind forces acting normally to the wind
frames, irrespective of the actual wind direction.
The force coefficient can be calculated for an open-frame configuration as
shown in Figures 3.2–3.5 and taking the following points into consideration:
1. The frame spacing (SF) is measured from centerline to centerline.
2. The frame width (B) is measured from the outside edge to the outside edge.
3. The frame spacing ratio is defined as SF/B.
4. The number of frames (N) is the number of framing lines normal to
the nominal wind direction (N = 5 as shown in Figure 3.1).
The area of application of force (Ae) shall be calculated in the same manner as the effective solid area, except that it is for the portion of the structure
height consistent with the velocity pressure, qz.
3.2.3.2.2.2 Design Load Cases The total wind force acting on a structure in a
given direction, FT, is equal to the sum of the wind load acting on the structure and appurtenances (FS), plus the wind load on the equipment and vessels, plus the wind load on piping. See Figure 3.6 for complete definitions of
F
T and FS.
B
SF
SF
SF
SF
Wind direction
FIGURE 3.1
Force coefficient, CDg, for an open-frame structure. (Adapted from ASCE, 40262, Wind Load and
Anchor Bolt Design for Petrochemical Facilities, ASCE, New York, 1997.)Loads on Industrial Structures 87
If piping arrangements are not known, the engineer may assume the piping area to be 10% of the gross area of the face of the structure for each principal axis. A force coefficient of 0.7 should be used for this piping area. The
following two load cases must be considered as a minimum:
Frame load + equipment load + piping load (FT) for one axis, acting
simultaneously with 50% of the frame load (FS) along the other axis, for
each direction. These two combinations are indicated in Figure 3.6.
3.2.3.2.2.3 Partial Wind Load A solid width of 1.5 ft (350 mm) shall be
assumed when calculating the wind load on ladder cages. The partial wind
2
2 1 0
1.5
0.5
0.1 0.15
Force Coefficient on Gross Area, CDg
Solidity Ratio, ξ
0.2 0.25 0.3 0.35
1.3
987 6 5 4 3
10
11
12
N=
Frame Spacing Ratio, SF/B = 0.1
FIGURE 3.2
Force coefficient, CDg, for an open-frame structure with SF/B = 0.1. (Adapted from ASCE, 40262,
Wind Load and Anchor Bolt Design for Petrochemical Facilities, ASCE, New York, 1997.)88 Construction Management and Design of Industrial Concrete and Steel Structures
load (WP) shall be based on the requirements of SEI/ASCE 37-02, Section
6.2.1, for the specified test or erection duration. The design wind speed shall
be 109 km/h, which is 0.75 × 145 km/h, according to SEI/ASCE 37-02, for test
or erection periods of less than 6 weeks.
For tests or erection periods of 6 weeks or longer, or if the test or erection is in a hurricane-prone area and is planned during the peak hurricane
sea son (from August 1 to October 31 in the United States), refer to SEI/ASCE
37-02.
2
2 1 0
1.5
2.5
0.5
0.1 0.15
Force Coefficient on Gross Area, CDg
Solidity Ratio, ξ
0.2 0.25 0.3 0.35
1.3
9 8 7 6 5 4 3
10
11
12
N=
Frame Spacing Ratio, SF/B = 0.2
FIGURE 3.3
Force coefficient, CDg, for an open-frame structure with SF/B = 0.2. (Adapted from ASCE, 40262,
Wind Load and Anchor Bolt Design for Petrochemical Facilities, ASCE, New York, 1997.)Loads on Industrial Structures 89
Example 1: Wind Load on Pipe Rack
Design a pipe rack in an oil plant. The pipe rack case shall be as shown in Figure 3.7 with bent spacing = 6 m, with a 3-s gust wind speed of 155 km/h.
The design wind forces are determined using Equation (3.1), where F is the force
per unit length of the piping or cable tray.
The design wind pressure for a 9-m elevation:
qz = 1.269 kN/m2 (3.4)
2
3 2 1 0
1.5
2.5
0.5
0.1 0.15
Force Coefficient on Gross Area, CDg
Solidity Ratio, ξ
0.2 0.25 0.3 0.35
1.3
9 8 7 6 5 4 3
10
11
12
N=
Frame Spacing Ratio, SF/B = 0.33
FIGURE 3.4
Force coefficient, CDg, for an open-frame structure with SF/B = 0.33. (Adapted from ASCE,
40262, Wind Load and Anchor Bolt Design for Petrochemical Facilities, ASCE, New York, 1997.)90 Construction Management and Design of Industrial Concrete and Steel Structures
with the gust effect factor, G = 0.85.
Force Coefficients
For structural members Cf = 1.8
For columns Cf = 2.0
For pipes Cf = 0.7
For cable trays Cf = 2.0
Projected Area
The projected area per meter of pipe rack, Ae, is equal to the largest pipe diameter
or cable tray height + 10% of the pipe rack width.
2
3 2 1 0
1.5
2.5
0.5
0.1 0.15
Force Coefficient on Gross Area, CDg
Solidity Ratio, ξ
0.2 0.25 0.3 0.35
1.3
9 8 7 6 5 4 3
10
N=
Frame Spacing Ratio, SF/B = 0.5
FIGURE 3.5
Force coefficient, CDg, for an open-frame structure with SF/B = 0.5. (Adapted from ASCE, 40262,
Wind Load and Anchor Bolt Design for Petrochemical Facilities, ASCE, New York, 1997.)Loads on Industrial Structures 91
A. PIPING AND CABLE TRAY
The guidelines require the consideration of the piping or cable trays separately
from the structural members. The following calculations are only for piping and
cable trays without the structural support members:
Force Calculation
•	 For cable tray, 150 mm deep (at an elevation of 9 m)
Cf = 2.0
A
e = 0.15 + (10% × 7.5) = 0.9 m2/m
F
1 = qzGCfAe
F
1 = [(1.27)(0.85)(2.0)(0.9)] × 6.0 m frame spacing F1 = 11.6 kN
•	 For F2 pipe level 7.5 m–24 in. maximum outside diameter (OD)
Cf = 0.7
A
e = 0.61 + (10% × 7.5) = 1.36 m2
F
2 = qzGCfAe
F
2 = [(1.276 kN/m2)(0.85)(0.7)(1.36)] × 6.0 m bent spacing F2 = 6.18 kN
F
S denotes the wind force on the structural frame and appurtenances in the
indicated direction and excludes wind load on equipment, piping, and cable tray.
F
T denotes the total wind force on the structure in the direction indicated, which is
the sum of forces on the structural frame and appurtenances, equipment, and piping.
0.5 F
s
0.5 F
s
FT
Range of wind
direction
Range of wind
F direction
T
FIGURE 3.6
Design load cases from wind load according to ASCE.92 Construction Management and Design of Industrial Concrete and Steel Structures
•	 For pipe level 6.0 m–18 in. maximum OD
Cf = 0.7
A
e = 0.45 + (10% × 7.5) = 1.2 m2
F
3 = qzGCfAe
F
3 = [(1.27)(0.85)(0.7)(1.2)] × 6.0 m bent spacing F3 = 5.45 kN
B. STRUCTURAL MEMBERS
For structural members, assume a 7.5-m wide rack with bent spacing of 6.0-m
centers and all stringers unshielded. Stringers are at elevations 9, 6.75, and 5.25 m
(as shown in Figure 3.8).
bf = 200 mm
W = 10 33
bf = 247 mm
F4 F5 F6
F6
Cable tray
150 mm
F4 F5
7.5 m
1.5
1.5
6.0
9.0 m
0.75
0.75
F2 F3
F1
W = 10 33
FIGURE 3.7
Example 1—sketch of configuration.Loads on Industrial Structures 93
Assume qz = 1.27 kN/m2 psf for all three levels of stringers (conservative):
Cf = 1.8
A
e = 0.247 (beam depth) × 6.0 m (beam length) = 1.482 m2
F = qzGCfAe
F
4 = F5 = F6 = 1.269 × 0.85 × 1.8 × 1.482 = 2.88 kN
For columns:
qz = 1.269 kN/m2 at an elevation of 9.0 m
qz = 1.217 kN/m2 at an elevation of 7.5 m
qz = 1.166 kN/m2 at an elevation of 6.0 m
F6
= 2.88 kN
F5
= 2.88 kN
F
4 = 2.88 kN
F
6 = 2.88 kN
F5
= 2.88 kN
F4
= 2.88 kN
7.5 m
6.0 m 1.5 1.5
9.0 m
0.75 0.75
F
3 = 5.45 kN
F
2 = 6.18 kN
F
1 = 11.6 kN
0.43 kN/m’ 0.43 kN/m’
FIGURE 3.8
Example 1—sketch of loads on pipe rack.94 Construction Management and Design of Industrial Concrete and Steel Structures
Use qz = 1.217 kN/m2 for the whole column (conservative)
Cf = 2.0
A
e = 0.2m2 (column width) × 1 m = 0.2 m2/m
F = qzGCfAe
F = (1.269) × 0.85 × 2.0 × 0.2 = 0.43 kN/m2
A wind directionality factor, Kd = 0.85, shall be applied to calculate the qz values
above or, otherwise, multiply the above-calculated loads F1 through F6 including
column wind loads with a factor of 0.85, when used with service and factored
load combinations. Kd = 0.85 for pipe racks and open-frame structures. For pipe
rack wind load values on the bent, refer to Figure 3.8.
Example 2: Wind Load on Pipe Rack
The pipe rack case shall be as shown in Figure 3.9 (frame spacing = 5 m), with a
3-s gust wind speed of 46 m/s.
The design wind forces are determined using Equation (3.1), where F is the force
per unit length of the piping or cable tray.
The design wind pressure, for an elevation of 11 m, is calculated as:
qz = 4.9 kN/m2
Gust effect factor, G = 0.85
Force Coefficients
In accordance with Section 3.2.3.2, the following are Cf values for different
members:
Structural members, Cf = 1.8
Columns, Cf = 2.0
Pipes, Cf = 0.7
Cable trays, Cf = 2.0
Projected Area
The projected area per foot of pipe rack, Ae, equals the largest pipe diameter or
the cable tray height + 10% of the pipe rack width.
A. PIPING AND CABLE TRAY
The guidelines require the consideration of the piping or cable trays separately
from the structural members. The following calculations are only for piping and
cable trays without the structural support members.Loads on Industrial Structures 95
Force Calculation
•	 For cable tray, 150 deep (at an elevation of 11.0 m)
Cf = 2.0
A
e = 0.15 + (10% × 6 m) = 0.75 m2/m
F
1 = qzGCfAe
F
1 = [(1.51)(0.85)(2.0)(0.75)] × 5.0 m bent spacing F1 = 10.2 kN
W = 14 61
bf = 250 mm
F6
F9
Cable tray
150 mm
F6 F7
6.0 m
1.2
1.2
4.5 m
10.5 m
1.0
1.0
F2
F1
30 in
F3 1.8 1.8 F5
F8
F7 F8 F9
24 in 1.0
1.0
F4
FIGURE 3.9
Example 2—sketch of pipe rack case.96 Construction Management and Design of Industrial Concrete and Steel Structures
•	 For F2 pipe level 10 m–12 in. maximum OD
Cf = 0.7
A
e = 0.3 + (10% × 6.0 m) = 0.9 m2/m
F
2 = qzGCfAe
F
2 = [(1.5)(0.85)(0.7)(0.9)] × 5.0 m bent spacing F2 = 4.0 kN
•	 For F
3 pipe level 8.0 m–20 in. maximum OD
Cf = 0.7
A
e = 0.5 + (10% × 6.0 m) = 1.1 m2/m
F
3 = qzGCfAe
F
3 = [(1.4)(0.85)(0.7)(1.1)] × 5.0 m bent spacing F3 = 4.6 kN
•	 For F
4 pipe level 6.3 m–30 in. maximum OD
Cf = 0.7
A
e = 0.75 + (10% × 6.0 m) = 1.35 m2/m
F
4 = qzGCfAe
F
4 = [(1.3)(0.85)(0.7)(1.35)] 5.0 m bent spacing F4 = 5.2 kN
•	 For F
5 pipe level 4.5 m–24 in. maximum OD
Cf = 0.7
A
e = 0.6 + (10% × 6.0 m) = 1.2 m2/m
F
5 = qzGCfAe
F
5 = [(1.1)(0.85)(0.7)(1.2)] 5.0 m bent spacing F5 = 3.93 kN
B. STRUCTURAL MEMBERS
For structural members, assume a 6-m wide rack with bent spacing of 5-m cen ters,
with all stringers unshielded. The stringers are at elevations 11, 7.2, 5.4, and 4 m.Loads on Industrial Structures 97
Cf = 1.8
A
e = 0.24 (beam depth) × 6.0 m (beam length) = 1.5 m2
F = qzGCfAe = qz × 0.85 × 1.5 = qz × 1.27
F
6 = 1.6 × 1.27 = 2 kN
F
7 = 1.4 × 1.27 = 1.8 kN
F
8 = 1.3 × 1.27 = 1.65 kN
F
9 = 1.1 × 1.27 = 1.4 kN
Columns
qz = 1.6 kN at an elevation of 11.0 m
Use qz = 1.6 kN for all columns (conservative)
Cf = 2.0
A
e = 0.25 (column width) × 1.0 m = 0.25 m2/m
F = qzGCfAe
Force per column, F = (1.6) × 0.85 × 2.0 × 0.25 = 0.68 kN/m
A wind directionality factor, Kd = 0.85, shall be applied to the calculated qz values
above; otherwise, multiply the above-calculated loads F1 through F9, including
column wind loads, with a factor of 0.85 when used with service and factored
load combinations.
Example 3: Wind Load on Open Frame Structure
The plan and elevation views of the structure are shown in Figures 3.10, 3.11, 3.12,
and 3.13. The structure considered is 10 × 10 × 18 m high, with three open frames
in the direction of the wind. The basic wind speed, V, equals 119 mi/h. This is a
3-s gust wind speed with an annual probability exceeding 0.02. Member sizes are
assumed to be as follows:
Columns = 0.31 × 0.31 m
Beams at an elevation of 6.0 m = W
36
Beams at an elevation of 18.0 m = W18
Braces = W
898 Construction Management and Design of Industrial Concrete and Steel Structures
Intermediate Beams = W12
F
S = qzGCfAe
where FS is the wind force on the structural frame and appurtenance.
It is convenient to determine the velocity pressures at the mid-floor heights and
at the top of the structure. The following are the qz values at different levels of
velocity pressure, qz.
Height above Ground, z (m) qz (kN/m2)
3.0 36.0
15.0 42.4
0.68 kN/m’
F
9 = 1.4 kN
F
7 = 1.8 kN
6.0 m
1.2
1.2
4.5 m
10.5 m
F
2 = 4.0 kN
F
1 = 10.2 kN
F
3 = 4.6 kN
F
F8 = 1.65 kN 8 = 1.65 kN
1.8 1.8
F
6 = 2 kN F6 = 2 kN
F
7 = 1.8 kN
F
4 = 5.2 kN
F
5 = 3.93 kN
F
9 = 1.4 kN
FIGURE 3.10
Example 2—configuration sketch.Loads on Industrial Structures 99
Wind direction
C B A
1 2 3
FIGURE 3.11
Example 3—sketch of plan for open-frame structure.
Elev. 18.00 m
Elev. 6.00 m
Elev. 0.0 m
4.00 m
4.00 m
4.00 m
3.00 m
3.00 m
A B C
5.0 m 5.0 m
FIGURE 3.12
Example 3—view of line 3.100 Construction Management and Design of Industrial Concrete and Steel Structures
The gust effect factor is determined next. The ratio of height/least horizontal
dimension = 18/10 m = 1.8 < 4.0; therefore, the structure is not considered a flexible structure. Use a gust effect factor of G = 0.85.
ALONG-WIND FORCE CALCULATIONS
To calculate the force coefficient, the solidity ratio, ε, must first be computed from
Equation (3.3). The gross area (or envelope area) is the area within the outmost
projections of the front face, normal to the nominal wind direction. Note that the
width used below is measured from the outside column face to the outside column face. For the wind direction shown in Figure 3.11, Ag = 18 × 10.5 = 189 m2.
To determine the effective solid area for this example, the solid area of the windward frame must first be calculated from the solid area, As, a summation of the
surface area of columns, beam, bracing, handrail, and stairs.
SOLID AREA OF WINDWARD FRAME
The middle and leeward frames (column lines 2 and 1, respectively) are similar
to the windward frame, with the exception of not having stairs and solid areas.
Hence, the solidity ratios for these two frames will be less than windward frame,
and so A
s is equal to the solid area of windward frame, ε = As/Ag = 53.8/189 =
0.285.
Elev. 18.00 m
Elev. 6.00 m
Elev. 0.0 m
4.00 m
8.00 m
6.00 m
1 2 3
5.0 m 5.0 m 1.2 m
FIGURE 3.13
Example 3—view of axis A.Loads on Industrial Structures 101
Next, the coefficient CDg is obtained from curves given in Figure 3.1 as a function of the solidity ratio, ε, the number of frames, N, and the frame spacing ratio,
SF/B. As defined in Figure 3.1, N = 3 and SF/B = 5/10.5 = 0.48. From Figure 3.1c
and d, N = 3 and, extrapolating slightly, ε = 0.285, and CDg = 0.95. Next, the gross
area force coefficient, CDg, is converted into a force coefficient compatible with
ASCE 7-02:
Cf = CDg/ε = 0.95/0.285 = 3.33.
The area of application of force, Ae, has already been determined per floor level
during the calculation of the solidity ratio. The wind force transmitted to each
floor level may now be found. The total force on the structural frame and appurtenances, FS, is 272.7 kN, found by summing the forces at all levels in Table 3.9.
These forces are due to wind acting on the frames only. The wind loads on vessels, equipment, and piping are not considered in this example.
CROSSWIND FORCE CALCULATIONS
The next step is to repeat the analysis for the nominal wind direction normal to
column line A, as shown in Figure 3.13, a “nonwindward” frame. The member
sizes are the same at this elevation, except that:
Intermediate beams = W10s
Beams at an elevation of 6.0 m = W14
Beams at an elevation of 18.0 m = W16
TABLE 3.9
Total Force—Structural Frame and Appurtenances, FS
Floor Level qz (psf) G Cf Kd Ae (m2) F (kN)
0 1.72 0.85 3.33 0.85 10 41.4
1 2.0 0.85 3.33 0.85 20 96.2
2 2.34 0.85 3.33 0.85 24 135.1
F
S = ∑F = 272.7
TABLE 3.10
Solid Area, As
Floor
Level
Tributary
Height
(m)
Solid Area (m2)
Columns Beams
Intermediate
Beams Bracing Handrails Stairs Total
0 3 2.7 0 0 1.7 0 2.2 10.6
1 3–12 6.5 4.0 0.72 3.2 3.6 3.8 22
2 12–18 8.4 4.77 3.7 3.2 3.6 3.24 27
Total solid area of windward frame (m2) 59.6102 Construction Management and Design of Industrial Concrete and Steel Structures
The gross area of the windward face includes the stair tower on the right-hand side
of the structure, Ag = (18 × 10.5) + (1.2 × 18) = 210.6 m2. The solid areas for the
windward frame are given in Table 3.10. The stairs column in this table includes
areas of the stair column, struts, and handrails.
Since the solidity of neither the middle nor leeward frames (column lines B and
C, respectively) exceeds that of the windward frame, As is equal to the solid area
of the windward frame, yielding
ε = A
s/Ag = 59.6/210.6 = 0.28.
The frame spacing ratio in this direction is SF/B = 6/11.2 = 0.54. Because the width
is not uniform (the stair tower stops at the second floor level), an average value
of B is used. From Figures 3.12 and 3.13, N = 3 and ε = 0.28; therefore, we use
C
Dg = 0.9, Cf = CDg/ε = 0.9/0.28 = 3.21. The wind forces per floor level are shown
in Table 3.11.
3.2.3.2.2.4 Open-Frame Example: Summary and Conclusion Table 3.12 summarizes the results. The load combinations for design are applications of FT in
one direction, simultaneously with 0.5 FS in the other direction. These combinations are shown in Figure 3.14.
In normal cases, there are a piping and a vessel, so its wind load must be
included in the example, showing the load on the equipment and piping for
illustration. A wind directionality factor, Kd = 0.85, shall be applied to calculate qz values or, otherwise, multiply the calculated loads (including column
wind loads) by 0.85 when using service and factored load combinations.
TABLE 3.11
Total Force—Structural Frame and Appurtenance, FS
Floor Level qz (psf) G Cf Ae (ft2) Kd F (kN)
0 1.72 0.85 3.2 10.6 0.85 42
1 2.0 0.85 3.2 22 0.85 101.7
2 2.34 0.85 3.2 27 0.85 146.1
F
S = ∑F = 289.9
TABLE 3.12
Summary of Load Direction
Load in Wind
Direction 1 (kN)
Load in Wind Direction
2 (kN)
Wind load on structure
frame, FS
273 290
Wind load on piping, FE 100 90
Total wind load, FT, on the
structure
373 380Loads on Industrial Structures 103
3.2.4 Earthquake Loads
An earthquake is a sudden and rapid shock that occurs when layers of the
earth’s crust slide over each other. Rocks are bent to adapt to the new situation and, when the rocks return to their original position in a sudden motion,
the earth’s surface is shaken and quake waves spread through the earth’s
crust from the quake center.
Earthquake loads (E) are very important. Serious structural damage can
occur because this load has a special nature—it occurs at intervals of up to
several years, last several seconds when it occurs, and can have a significant
impact on buildings. In the past, people held the belief that an animal held
the land and would shake the earth when it moved. The scholar Ibn Sina
developed one of the first scientific theories about the cause of earthquakes,
believing that the movement originated from activity underneath the land.
It is worth noting that about 300,000 earthquakes occur annually throughout the world, but most are not strong or occur away from residential areas.
In the case of powerful earthquakes that occur near areas where facilities are
located, landslides may also occur and shall be factored into the design of
the building. Earthquake codes require that a structure shall be designed to
resist a minimum total lateral load, V, which shall be assumed to act nonconcurrently in orthogonal directions parallel to the main axes of the structure.
The procedures and limitations for the design of structures shall be
determined by considering seismic zoning, site characteristics, occupancy,
configuration, structural system, and height in accordance with the information presented in this section. Structures shall be designed with adequate
strength to withstand the lateral displacements induced by the design basis
ground motion, considering the inelastic response of the structure and the
inher ent redundancy, over-strength, and ductility of the lateral force–
resisting system.
0.5F
S = 145 kN
FT
= 373 kN
0.5F
S = 137 kN
FT
= 380 kN
Wind direction
Range
Wind direction
Range
FIGURE 3.14
Sketch of design load cases in open-frame structures.104 Construction Management and Design of Industrial Concrete and Steel Structures
3.2.4.1 Design Spectral Response Acceleration Parameters
The design earthquake spectral response acceleration at short intervals, SDS,
and at 1-s intervals, SD1, shall be calculated from the following equations,
respectively.
SDS = 2/3SMS (3.5)
SDS = 2/3SM1 (3.6)
The maximum considered earthquake spectral response acceleration for
short periods, SMS, and at 1-s intervals, SM1, adjusted for site-class effects,
shall be determined by Equations (3.7) and (3.8), respectively.
SMS = FaSS (3.7)
SM1 = FvS1 (3.8)
where
S1 = Mapped maximum considered earthquake spectral response acceleration at a period of 1 s
SS = Mapped maximum considered earthquake spectral response acceleration at short periods
Because SS and S1 are determined using the seismic map for the country
where the project will be located, the seismic zone of the plant location must
be included in the planning.
It is worth noting that if the soil properties are not known in sufficient
detail to determine the site class, class D shall be used (Table 3.13). Class E
shall be used when the authority of jurisdiction determines that site class E is
present at the site or in the event that site class E is established by geotechnical data (Tables 3.14 and 3.15).
3.2.4.2 Architectural, Mechanical, and Electrical Components Systems
In industrial buildings and structures, there are always architectural,
mechanical, electrical, and nonstructural systems, components, and elements that are permanently attached to structures, including supporting
structures and attachments. The design criteria established minimum equivalent static force levels and relative displacement demands for the design
of components and their attachments to the structure, recognizing ground
motion, structural amplification, component toughness and weight, and
performance expectations. In most cases, the components’ design shall be
considered to have the same seismic design category as that of the structure
that they occupy or to which they are attached. Therefore, it is necessary
to establish a minimum seismic design force requirement for nonbuildingLoads on Industrial Structures 105
structures that are supported by other structures, where the weight of the
nonbuilding structure is less than 25% of the combined weight of the nonbuilding structure and the supporting structure. The seismic design force
will be calculated using the following formula:
F
a S W
R I
z h
p
p DS p
p p
= +


0 4
1 2
.
/ .
TABLE 3.13
Site Classification with Soil Parameters
Site Class
Definitions Soil Parameters
A Hard rock with measured shear wave velocity, Vs, > 1500 m/s
B Rock with 760 m/s < Vs, ≤ 1500 m/s
C Very dense soil and soft rock with 370 m/s ≤ Vs ≤ 760 m/s or N or Nch > 50 or
S
u ≥ 100 kPa
D Stiff soil with 180 ≤ V
s ≤ 370 m/s
or with N and Nch > 50 or 50 kPa ≤ Su ≤ 100 kPa
E A soil profile with Vs < 180 m/s or any profile with more than 3 m of soft claya
F Soils requiring site-specific evaluations: soils vulnerable to potential failure or
collapse under seismic loading such as liquefiable soils, quick and highly
sensitive clays, collapsible weakly cemented soils
Note: S
u, average undrained shear strength in top 100 ft (30 m) according to ASTM D2166-91 or
ASTM D2850-87; N, standard penetration resistance according to ASTM D 1568-84; Nch,
average field standard penetration resistance for cohesionless soil layer for the top 100 ft
(30 m).
a Soft clay is defined as soil with plasticity index (PI) > 20, w ≥ 40%, and Su <25 kPa.
TABLE 3.14
Value of F
a as a Function of Site Class and Mapped Short Period Maximum
Considered Earthquake Spectral Acceleration
Site Class
Mapped Maximum Considered Earthquake Spectral Response
Acceleration at Short Periods
SS ≤ 0.25 SS = 0.5 SS = 0.75 SS = 1.0 SS ≥ 1.25
A 0.8 0.8 0.8 0.8 0.8
B 1.0 1.0 1.0 1.0 1.0
C 1.2 1.2 1.1 1.0 1.0
D 1.6 1.4 1.2 1.1 1.0
E 2.5 1.7 1.2 0.9 0.9
F a a a a a
Note: Use straight-line interpolation for intermediate values of SS.
a Site-specific geotechnical investigation and dynamic site response analyses shall be performed
except that for structures with periods of vibration equal to or less than 0.5 s, values of Fa for
liquefiable soils may be assumed as equal to the values for the site class determined without
regard to liquefaction.106 Construction Management and Design of Industrial Concrete and Steel Structures
Fp
is not required to be taken as greater than
F
p = 1.6SDSIpWp,
and F
p shall not be taken as less than
F
p = 0.3SDSIpWp,
where
Fp
= Seismic design force centered at the component’s center of gravity
and distributed relative to the component’s mass distribution
SDS = Spectral acceleration short period
a
p = Component amplification factor that varies from 1.00 to 2.50
Ip
= Component importance factor, which varies as shown in Table 3.16
Wp
= Component operating weight
R
p = Component response modification factor that varies from 1.50 to
5.00
z = Height of the structure at the point of attachment of the component,
with respect to the base. For items at or below the base, z shall be 0.
The value of z/h shall not exceed 1.0.
h = Average roof height of the structure with respect to the base
Force, F, shall be independently applied longitudinally and laterally in combination with service loads associated with the component. The component
importance factor, Ip, shall be selected as shown in Table 3.16.
TABLE 3.15
Values of F
v as a Function of Site Class and Mapped 1-s Period
Maximum Considered Earthquake Spectral Acceleration
Site Class
Mapped Maximum Considered Earthquake Spectral Response
Acceleration at 1-s Periods
S1 ≤ 0.1 S1 = 0.2 S1 = 0.3 S1 = 0.4 S1 ≥ 0.5
A 0.8 0.8 0.8 0.8 0.8
B 1.0 1.0 1.0 1.0 1.0
C 1.7 1.6 1.5 1.4 1.3
D 2.4 2.0 1.8 1.6 1.5
E 3.5 3.2 2.8 2.4 2.4
F a a a a a
Note: Use straight-line interpolation for intermediate values of S1.
a Site-specific geotechnical investigation and dynamic site response analyses shall
be performed except that for structures with periods of vibration equal to or less
than 0.5 s, values of Fv for liquefiable soils may be assumed as equal to the values
for the site class determined without regard to liquefaction.Loads on Industrial Structures 107
3.2.4.2.1 Mechanical and Electrical Component Period
The mechanical and electrical equipment attached to the structure have a
natural frequency. The natural frequency period of the mechanical and electrical components, T, shall be determined by the following equation, provided that the component and attachment can be reasonably represented
analytically by a simple spring and mass single degree of freedom system:
T
W K
= 2π p
pg
where
T = Component’s fundamental period
Wp
= Component’s operating weight
g = Gravitational acceleration
Kp
= Stiffness of the resilient support system of the component and attachment, determined in terms of load per unit deflection at the center of
gravity of the component
Consistent units must be used. Otherwise, determine the fundamental
period of the component (in seconds) from experimental test data or by a
properly substantiated analysis.
3.2.4.3 HVAC Ductwork
Attachments and supports for HVAC ductwork systems should be designed
to meet the force and displacement requirements. In addition to their attachments and supports, ductwork systems designated as having an Ip of 1.5
shall be designed to meet the force and displacement requirements, as the
drift will not be more than 1/100 of the height level. Where HVAC ductwork
runs between structures that could be displaced relative to one another and
TABLE 3.16
The Importunacy Factor, Ip
Equipment Criticality Ip
Life safety component required to function after an earthquake (e.g., fire protection
sprinkler system)
1.5
Components that contain hazardous content 1.5
Storage racks in structures open to the public (e.g., warehouse retail stores) 1.5
All other components 1.0
In addition, for structures in Seismic Use Group III:
All components needed for continued operation of the facility or whose failure could
impair the continued operation of the facility
1.5108 Construction Management and Design of Industrial Concrete and Steel Structures
for seismically isolated structures where the HVAC ductwork crosses the
seismic isolation interface, the HVAC ductwork shall be designed to accommodate the seismic relative displacements.
Based on ASCE 7-02, the seismic restraints are not required for HVAC
ducts with an I
p of 1.0 if either of the following conditions are met:
1. HVAC ducts are suspended from hangers 12 in. (305 mm) or less
in length from the top of the duct to the supporting structure. The
hangers shall be detailed to avoid significant bending of the hangers
and their attachments.
2. HVAC ducts have a cross-sectional area of less than 6 ft2 (0.557 m2).
HVAC duct systems that are fabricated and installed in accordance with
standards approved by the regulating authority will be deemed as having met the lateral bracing requirements. Equipment items installed in line
with the duct system—for example, fans, heat exchangers, and humidifiers
weighing more than 75 lb (344 N)—shall be supported and laterally braced,
independent of the duct system, and shall also meet any force requirements.
Furthermore, the appurtenances, such as dampers, louvers, and diffusers, shall be positively attached to the structure with mechanical fasteners.
Unbraced piping attached to in-line equipment shall be provided with adequate flexibility to accommodate differential displacements.
3.2.4.4 Piping Systems
The piping systems attached and supporting the structure shall be designed
to meet the force and displacement requirements for safe operation. In
addition to their attachments and supports, piping systems designated as
having an Ip of 1.5 shall be designed to meet any force and displacement
requirements. Where piping systems are attached to structures that could
be displaced relative to one another and for seismically isolated structures
where the piping system crosses the seismic isolation interface, the piping
system shall be designed to accommodate the seismic relative displacements
requirement to limit the drift to 1/100 of the level height.
Seismic effects that shall be considered in the design of a piping system
include the dynamic effects of the piping system, its contents, and, when
appropriate, its supports. The interaction between the piping system and the
supporting structures, including other mechanical and electrical equipment,
shall also be considered. Pressure piping systems designed and constructed
in accordance with the ASME B31 Code for Pressure Piping may be considered to also meet the specific force and displacement provisions provided in
the ASME B31.
Fire protection sprinkler systems usually designed and constructed in
accordance with the NFPA 13 Standard for the Installation of SprinklerLoads on Industrial Structures 109
Systems may be deemed to meet the other requirements and the force will be
calculated using the force equation. Other piping systems designated as having an Ip of 1.5 that are not designed and constructed in accordance with the
ASME B31 or NFPA 13 should meet the criteria described in Section 3.2.4.6.
3.2.4.5 Boilers and Pressure Vessels
The seismic design of a boiler or pressure vessel shall include analysis of the
following: the dynamic effects of the boiler or pressure vessel, its contents,
its supports, the sloshing of liquid contents, loads from attached components
such as piping, and the interaction between the boiler or pressure vessel
and its support. Boilers or pressure vessels designed in accordance with the
ASME Boiler and Pressure Vessel Code may be considered to meet the force,
displacement, and other requirements of this code.
3.2.4.6 General Precaution
Based on the ASCE 7-02 guidelines for sites in seismic zones, the design
strength for seismic loads of general equipment such as boilers, pressure
vessels, and mechanical and electrical equipment, in combination with other
service loads and appropriate environmental effects, should not exceed the
following:
1. For equipment constructed with ductile materials (steel, aluminum,
or copper), 90% of the material’s minimum specified yield strength.
2. For threaded connections in equipment or their supports constructed
with ductile materials, 70% of the material’s minimum specified
yield strength.
3. For equipment constructed with nonductile materials such as plastic, cast iron, or ceramics, 25% of the material’s minimum specified
tensile strength.
4. For threaded connections in equipment or their supports constructed
with nonductile materials, 20% of the material’s minimum specified
tensile strength.
3.2.4.7 Building and Nonbuilding Structures
The definition for nonbuilding structures includes all self-supporting structures that carry gravity loads and that may be required to resist the effects of
earthquake, with the exception of buildings, vehicular and railroad bridges,
nuclear power generation plants, offshore platforms, dams, and other structures. Nonbuilding structures supported by the earth or supported by other
structures shall be designed and detailed to resist the minimum lateral forces
as specified.110 Construction Management and Design of Industrial Concrete and Steel Structures
For general equipment such as machines, piping, pressure vessels, and
tanks, there are two cases during construction, maintenance, or, in some
cases, shutdown: in the first case, the equipment is full of liquid, and in the
second case, the equipment is empty. The weight of the equipment is different
in the two cases, so there will be two calculated value of earthquake loads:
•	 E
o is the earthquake load considering the unfactored operating dead
load and the applicable portion of the unfactored structure dead
load.
•	 E
e is the earthquake load considering the unfactored empty dead load
and the applicable portion of the unfactored structure dead load.
The design of nonbuilding structures shall provide stiffness, strength, and
ductility consistent with the requirements specified here for buildings to
resist the effects of seismic ground motions, as represented by these design
forces:
1. Applicable strength and other design criteria shall be obtained from
codes and standards that apply to the project.
2. When applicable strength and other design criteria are not contained in project specifications, such criteria shall be obtained from
approved national standards. Where approved national standards
define acceptance criteria in terms of allowable stresses as opposed
to strength, the design seismic forces shall be obtained and used in
combination with other loads according to the national standards.
3.2.4.7.1 Design Basis
Nonbuilding structures with specific seismic design criteria established in
approved standards shall be designed using those standards as amended
here. Nonbuilding structures shall be designed to resist minimum seismic
lateral forces that are not less than the requirements for building structures
with the following values of the response modification coefficient, R, as
shown in Table 3.14. Apply the following equation:
CS = 0.14 SDSI.
The minimum value specified shall be replaced by:
CS = 0.8 S1I/R.
The overstrength factor, Ωo, and the R factor shall be taken from Table 3.17.
The importance factor, I, shall be as given in Table 3.18. The vertical distribuLoads on Industrial Structures 111
tion of the lateral seismic forces in nonbuilding structures shall be determined in accordance with an approved standard applicable to the specific
nonbuilding structure (Table 3.19). For nonbuilding structural systems
containing liquids, gases, and granular solids supported at the base, the
minimum seismic design force shall not be less than that required by the
approved standard for the specific system. Irregular structures, where SDS is
greater than or equal to 0.50, that cannot be modeled as a single mass shall
use the modal analysis procedures.
TABLE 3.17
Architectural Component Coefficient
Architectural Component or Element ap Rp
Interior Nonstructural Walls and Partitions
Plain (unreinforced) masonry walls 1 1.5
All other walls and partitions 1 2.5
Cantilever elements (unbraced or braced to structural frame
below its center of mass)
Parapets and cantilever interior nonstructural walls 2.5 2.5
Chimneys and stacks when laterally braced or supported by
the structural frame
2.5 2.5
Cantilever elements (braced to structural frame above its center
of mass)
Parapets 1.0 2.5
Chimneys and stacks 1.0 2.5
Exterior Nonstructural Wall Elements and Connections
Wall element
Body of wall panel connections 1 2.5
Fasteners of the connecting system 1 2.5
Storage cabinets and laboratory equipment 1 2.5
Special access floors 1 2.5
All access floors 1 1.5
Signs and billboards 2.5 2.5
Other rigid components
High deformability elements and attachments 1 3.5
Limited deformability elements and attachments 1 2.5
Low deformability materials and attachments 1 1.5
Other flexible components
High deformability elements and attachments 2.5 3.5
Limited deformability elements and attachments 2.5 2.5
Low deformability materials and attachments 2.5 1.5112 Construction Management and Design of Industrial Concrete and Steel Structures
3.2.4.7.2 Rigid Nonbuilding Structures
Nonbuilding structures that have a fundamental period, T, less than 0.06 s,
including their anchorages, shall be designed for the lateral force obtained
from the following equation:
V = 0.30SDSWI
TABLE 3.18
Mechanical and Electrical Components Seismic Coefficients
Mechanical and Electrical Component or Element ap Rp
General mechanical equipment
Boilers and furnaces 1.0 2.5
Pressure vessels on skirts and free-standing 2.5 2.5
Stack 2.5 2.5
Cantilevered chimneys 2.5 2.5
Other 1.0 2.5
Manufacturing and process machinery
Genera 1.0 2.5
Conveyors (nonpersonnel) 2.5 2.5
Piping Systems
High deformability elements and attachment 1.0 3.5
Limited deformability elements and attachments 1.0 2.5
Low deformability elements and attachments 1.0 1.5
HVAC System
Vibration isolated 2.5 2.5
Nonvibration isolated 1.0 2.5
Mounted in line with ductwork 1.0 2.5
Other 1.0 2.5
Elevator components 1.0 2.5
Escalator components 1.0 2.5
Trussed towers (free-standing or guyed) 2.5 2.5
General electrical
Distribution systems (bus ducts, conduit, cable tray) 2.5 5.0
Equipment 1.0 2.5
Lighting Fixtures 1.0 1.5
Note: A lower value for a
p shall not be used unless justified by detailed dynamic analyses. The
value for a
p shall not be less than 1.00. The value of ap = 1 is for equipment generally
regarded as rigid or rigidly attached. The value of ap = 2.5 is for equipment generally
regarded as flexible or flexibly attached.
Components mounted on vibration isolation systems shall have a bumper restraint or
snubber in each horizontal direction. The design force shall be taken as 2Fp if the maximum clearance (air gap) between the equipment support frame and restraint is greater
than 6 mm.
If the maximum clearance is specified on the construction documents to be not greater
than 6 mm, the design force may be taken as Fp.Loads on Industrial Structures 113
TABLE 3.19
Seismic Coefficients for Nonbuilding Structures
Nonbuilding Structure Type R Ω Cd
Nonbuilding frame systems
Concentric braced frames of steel 6 2.5 5
Moment-resisting frame systems
Special moment frames of steel 8 3 5.5
Ordinary moment frames of steel 3.5 3 2.5
Special moment frames of concrete 8 3 5.5
Intermediate moment frames of concrete 5 5 4.5
Ordinary moment frames of concrete 3 3 2.5
Steel storage racks 4 2 3.5
Elevated tanks, vessels, bins, or hoppers
On braced legs 3 2 2.5
On unbraced legs 3 2 2.5
Irregular braced legs, single pedestal, or skirt-supported 2 2 2
Welded steel 2 2 2
Concrete 2 2 2
Horizontal, saddle-supported welded steel vessels 3 2 2.5
Tanks or vessels supported on structural towers similar
to building
3 2 2
Flat bottom, ground supported tanks, or vessels
Anchored (welded or bolted steel 3 2 2.5
Unanchored (welded or bolted steel) 2.5 2 2
Reinforced or prestress concrete
Tanks with reinforced nonsliding base 2 2 2
Tanks with anchored flexible base 3 2 2
Tanks with unanchored and unconstrained
Flexible base 1.5 1.5 1.5
Other material 1.5 1.5 1.5
Cast-in-place concrete silos, stacks, and chimneys having
walls continuous to the foundation
3 1.75 3
All other reinforced masonry structures not similar to
buildings
3 2 2.5
All other nonreinforced masonry structures not similar to
buildings
1.25 2 1.5
All other steel and reinforced concrete distributed mass
(cantilever structures not covered herein including stacks,
chimneys, silos, and skirt-supported vertical vessels that
are not similar to buildings)
3 2 2.5
Trussed towers (freestanding or guyed), guyed stacks, and
chimneys
3 2 2.5
Cooling towers
Concrete or steel 3.5 1.75 3
(continued )114 Construction Management and Design of Industrial Concrete and Steel Structures
where
V = Total design lateral seismic base shear force applied to a nonbuilding
structure
SDS = The site’s design response acceleration
W = Nonbuilding structure’s operating weight
I = Importance factor as determined from Table 3.20
3.2.4.8 Flexibility of Piping Attachments
The piping systems connected to tanks and vessels are sensitive to the potential movement of the connection points during earthquakes and therefore
require a sufficient flexibility to avoid release of the product by failure of the
TABLE 3.19 Continued
Seismic Coefficients for Nonbuilding Structures
Nonbuilding Structure Type R Ω Cd
Telecommunication towers
Truss: Steel 3 1.5 3
Pole: Steel 1.5 1.5 1.5
Wood 1.5 1.5 1.5
Concrete 1.5 1.5 1.5
Frame: Steel 3 1.5 1.5
Concrete 2 1.5 1.5
Inverted pendulum-type structures (except elevated tanks,
vessels, bins, and hoppers)
2 2 2
Signs and billboards 3.5 1.75 3
All other self-supporting structures, tanks, or vessels not
covered above or by approved standards that are similar
to buildings
1.25 5 2.5
TABLE 3.20
Importance Factor (I) and Seismic Use Group Classification for Nonbuilding
Structures
Importance factor I = 1.0 I = 1.25 I = 1.5
Seismic use group I II III
Hazard H-I H-II H-III
Function F-I F-II F-III
Note: H-I, nonbuilding structures not assigned to H-II or H-III; H-II, nonbuilding structures
containing hazardous materials and classified as category III structures in Table 3.5; H-IV,
nonbuilding structures containing extremely hazardous materials and classified as category IV structures in Table 3.5; F-I, nonbuilding structures not classified as F-II or F-III;
F-II, nonbuilding structures classified as category III structures in Table 3.5; F-III, nonbuilding structures classified as category IV structures (essential facilities) in Table 3.5.Loads on Industrial Structures 115
piping system. Forces and deformations imparted by piping systems or other
attachments should not exceed the design limitations at points of attachment
to the tank or vessel shell. Mechanical devices that add flexibility such as
bellows, expansion joints, and other flexible apparatus may be used when
they are designed for seismic loads and displacements. Unless otherwise
calculated, the minimum displacements in Table 3.19 shall be assumed. For
attachment points located above the support or foundation elevation, the displacements in Table 3.19 shall be increased to account for drift of the tank or
vessel relative to the base of support.
When the elastic deformations are calculated, the minimum design displacements for piping attachments shall be the calculated displacements at
the point of attachment, increased by the amplification factor Cd. Table 3.21
does not include the influence of relative movements of the foundation and
piping anchorage points due to foundation movements (e.g., settlement,
seismic displacements). The effects of the foundation movements shall be
included in the piping system design, including the determination of the
mechanical loading on the tank or vessel and the total displacement capacity
of the mechanical devices intended to add flexibility.
3.2.4.9 Design Review for Seismic Loads
In the case of a project in a zone with high seismic activity or a special case
such as a liquefied natural gas plant, a design review of the seismic force
resisting system and the structural analysis should be performed by an
independent team of registered design professionals. This shall involve professionals in the appropriate disciplines and other individuals experienced
in seismic analysis methods and the theory and application of nonlinear
TABLE 3.21
Minimum Displacement for Piping Attachments
Displacements (mm)
Anchored Tanks or Vessels
Vertical displacement relative to support or foundation 50
Horizontal (radial and tangential) relative to support or
foundation
12
Unanchored Tanks or Vessels (at Grade)
Vertical displacement relative to support or foundation if
designed to meet approved standards
150
If designed for seismic loads per these provisions but not covered
by an approved standard
300
For tanks and vessels with a diameter <40 ft, horizontal (radial
and tangential) relative to support or foundation
200116 Construction Management and Design of Industrial Concrete and Steel Structures
seismic analysis and structural behavior under extreme cyclic loads. The
design review shall include, but not be limited to:
1. Review of any site-specific seismic criteria used in the analysis,
including the development of site-specific spectra and ground
motion time histories
2. Review of acceptance criteria used to demonstrate the adequacy of
structural elements and systems to withstand the calculated force
and deformation demands, together with laboratory and other data
used to substantiate these criteria
3. Review of the preliminary design, including the selection of the
structural system and the configuration of structural elements
4. Review of the final design of the entire structural system and all
supporting analyses
3.2.5 Impact Loads
Impact loads shall be in accordance with SEI/ASCE 7-05. Impact loads for
davits shall be the same as those for monorail cranes (powered). Lifting lugs,
or pad eyes, and internal members (including both end connections) framing
into the joint where the lifting lug or pad eye is located shall be designed for
100% impact. All other structural members transmitting lifting forces shall
be designed for 15% impact. The allowable stresses shall not be increased
when combining impact with dead load.
3.2.6 Thermal Loads
In this book, thermal loads are designated by Tp, T, Af, and Ff, where:
T
p represents the forces on vertical vessels, horizontal vessels, or heat
exchangers caused by the thermal expansion of the pipe attached to the
vessel.
T represents the self-straining forces caused by the restrained thermal
expansion of structural steel in pipe racks or horizontal vessels and
heat exchangers.
Af represents the pipe anchor and guide forces.
Ff represents pipe rack friction forces caused by the sliding of pipes or
by the sliding of horizontal vessels or heat exchangers on their supports in response to thermal expansion.
All support structures and their elements shall be designed to accommodate
the loads or effects produced by thermal expansion and the contraction of
equipment and piping. Thermal loads shall be included with operating loadsLoads on Industrial Structures 117
in the appropriate load combinations and shall have the same load factor as
dead loads.
Thermal loads and displacements shall be calculated on the basis of the
difference between the ambient or equipment design temperature and the
installed temperature. To account for the significant increase in temperatures of steel exposed to sunlight, 35°F (20°C) shall be added to the maximum
ambient temperature. Friction loads caused by thermal expansion shall be
determined using the appropriate static coefficient of friction. Coefficients of
friction shall be in accordance with Table 3.22.
To be clear, the friction loads shall be considered temporary and shall not
be combined with wind or earthquake loads. However, anchor and guide
loads (excluding their friction component) shall be combined with wind or
earthquake loads.
For pipe racks supporting multiple pipes, 10% of the total piping weight
shall be used as an estimated horizontal friction load and applied only to
local supporting beams. However, an estimated friction load equal to 5%
of the total piping weight shall be accumulated and carried into pipe rack
struts, columns, braced anchor frames, and foundations.
Under normal loading conditions with multiple pipes, tensional effects on
the local beam need not be considered because the pipes supported by the
beam limit the rotation of the beam to the extent that the torsion stresses
are minimal. Under certain circumstances, engineering judgment shall be
applied to determine whether a higher friction load or torsion effects should
be used.
Pipe anchor and guide loads shall have the same load factor as dead loads.
The internal pressure and surge shall be taken into consideration for pipe
anchor and guide loads.
During the design stage of the beams, struts, columns, braced anchor
frames, and foundations, they should be able to resist actual pipe anchor and
guide loads.
For local beam design, only the top flange shall be considered effective
for horizontal bending unless the pipe anchor engages both flanges of the
beam.
3.2.7 Bundle Pull Load
Structures and foundations supporting heat exchangers subject to bundle
pulling shall be designed for a horizontal load equal to 1.0 times the weight
TABLE 3.22
Coefficient of Friction
Steel to steel 0.4
Steel to concrete 0.6
Special sliding surfaces as Teflon According to manufacturer’s instruction118 Construction Management and Design of Industrial Concrete and Steel Structures
of the removable tube bundle, but not less than 2000 lb (9.0 kN). If the total
weight of the exchanger is less than 2000 lb (9.0 kN), the bundle pull load (Bp)
may be taken as the total weight of the exchanger. Noting that, the bundle
pull load shall be applied at the center of the bundle. This is discussed in
Chapter 6 in relation to heat exchanger foundation design.
If it can be assured that the bundles will be removed strictly by the use of
a bundle extractor attaching directly to the exchanger (such that the bundle
pull force is not transferred to the structure or foundation), the structure or
foundation need not be designed for the bundle pull force. Such assurance
would typically require the addition of a sign posted on the exchanger to
indicate bundle removal by an extractor only.
The portion of the bundle pull load at the sliding end support shall
equal the friction force or half the total bundle pull load, whichever is less.
The remainder of the bundle pull load shall be resisted at the anchor end
support.
3.2.8 Ice Loads
Atmospheric ice loads (S) due to freezing rain and snow that include icing
shall be considered in the design of ice-sensitive structures. In areas where
records or experience indicate that snow or in-cloud icing produces larger
loads than freezing rain, site-specific studies shall be used. Structural loads
due to hoarfrost are not a design consideration.
3.2.8.1 Site-Specific Studies
Mountainous terrain and gorges shall be examined for unusual icing conditions. Site-specific studies shall be used to determine the 50-year mean
recurrence interval ice thickness and concurrent wind speed in:
1. Alaska
2. Areas where records or experience indicate that snow or in-cloud
icing produces larger loads than freezing rain
3. Special icing regions, which should be determined using an official
map
4. Mountainous terrain and gorges where examination indi cates un -
usual icing conditions exist
Site-specific studies shall be subject to review and approval by the governing
authority. In lieu of using the mapped values, it is permitted to determine
the ice thickness and the concurrent wind speed for a structure from local
meteorological data based on a 50-year mean recurrence interval provided
that:Loads on Industrial Structures 119
1. The quality of the data for wind and type and amount of precipitation has been taken into account.
2. A robust ice accretion algorithm has been used to estimate uniform
ice thicknesses and concurrent wind speeds from the data.
3. Extreme-value statistical analysis procedures acceptable to the governing authority have been employed in analyzing the ice thickness
and concurrent wind speed data.
4. The length of the record and sampling error have been taken into
account.
3.2.8.2 Loads due to Freezing Rain
The ice load shall be determined using the weight of glaze ice formed on all
exposed surfaces of structural members, guys, components, appurtenances,
and cable systems. On structural shapes, prismatic members, and other similar shapes, the cross-sectional area of ice shall be determined by:
A
i = πtd(Dc + td),
where D
c is shown for a variety of cross-sectional shapes.
On flat plates and large three-dimensional objects such as domes and
spheres, the volume of ice shall be determined by:
V
i = πtdAs,
where A
s = πr2.
It is acceptable to multiply 0.6 for horizontal plates by 0.8 for vertical plates.
The ice density shall not be less than 56 pcf (900 kg/m3). The weather data of
the site location and its maps show the equivalent uniform radial thicknesses,
t, of ice due to freezing rain at a height of 33 ft (10 m) over the contiguous
United States for a 50-year mean recurrence interval. The data shall also provide concurrent 3-s gust wind speeds. Thicknesses for Alaska and Hawaii,
and for ice accretions due to other sources in all regions, shall be obtained
from local meteorological studies. The height factor, fz, used to increase the
radial thickness of ice for a height above ground, z, shall be determined by:
f z z
f = z
z z
=


< ≤
>
10
275
1 4 275
0 1 .
.
for 0 m
for m..120 Construction Management and Design of Industrial Concrete and Steel Structures
Importance factors to be applied to the radial ice thickness and wind pressure according to the structure classifications are shown in Table 3.5. The
importance factor multiplier, li, must be on the ice thickness, not the ice
weight, because ice weight is not a linear function of thickness.
Both the ice thickness and concurrent wind speed for structures on hills,
ridges, and escarpments are higher than those on level terrain because of
wind speed-up effects. The topographic factor for the concurrent wind pressure is K
zt and the topographic factor for ice thickness, Krt, is 0.35 w. Here, K
is obtained from Equation (6.1).
3.2.8.3 Design Ice Thickness for Freezing Rain
The design ice thickness, td, shall be calculated using the following equation:
td = 2.0tlifz(Kzt)0.35. (3.9)
Wind on ice-covered chimneys, tanks, and similar structures. Force coefficients
for structures with square, hexagonal, and octagonal cross sections shall be
as given in Table 3.7. Force coefficients for structures with round cross sections shall be as given in Table 3.7 for round cross sections with D(qz)0.5 ≤ 2.5
for all ice thicknesses, wind speeds, and structure diameters.
3.2.8.4 Wind on Ice-Covered Structures
Ice accreted on structural members, components, and appurtenances in -
creases the projected area of the structure exposed to wind. The projected
area shall be increased by adding td to all free edges of the projected area.
Wind loads on this increased projected area shall be used in the design of
ice-sensitive structures. The wind load coefficient area shall be increased
due to the ice thickness.
3.3 Load Combinations
Buildings, structures, equipment, vessels, tanks, and foundations shall be
designed for the following:
1. SEI/ASCE 7-05 except as otherwise specified by the owner
2. Local building codes
3. Any other applicable design codes and standards
4. Any other probable and realistic combination of loadsLoads on Industrial Structures 121
TABLE 3.23
Loading Combinations—Allowable Stress Design (Service Loads)
Load
Combination
No. Load Combination
Allowable
Stress
Multiplier Description
1 D
o + L 1.00 Operating weight + live load
2 D
o + (W or 0.7 Eoa) 1.00 Operating weight + wind or earthquake
3 D
e + W 1.00 Empty weight + wind
(wind uplift case)
4a 0.9(Do) + 0.7Eoa 1.00 Operating weight + earthquake
(earthquake uplift case)
4b 0.9(De) + 0.7Eea 1.00 Empty weight + earthquake
(earthquake uplift case)
5 Df + Wp 1.00 Erection weight + partial windb
(wind uplift case)
6 D
t + Wp 1.20 Test weight + partial wind
a For skirt-supported vertical vessels and skirt-supported elevated tanks classified as occupancy category IV in accordance with SEI/ASCE 7-05, the critical earthquake provisions and
implied load combination of SEI/ASCE 7-05 shall be followed.
b Erection weight + partial wind is required only if the erection weight of the vessel is significantly less than the empty weight of the vessel. This case is only applied if the erection weight
of the vessel is significantly less than the empty weight of the vessel.
TABLE 3.24
Loading Combinations and Load Factors—Strength Design
Load
Combination No. Load Combination Description
1 1.4 (Do) Operating weight
2 1.2(Do) + 1.6L Operating weight + live load
3 1.2(Do) + (1.6W or 1.0Eoa) Operating weight + wind or earthquake
4 0.9(De) + 1.6W Empty weight + wind
(wind uplift case)
5a 0.9(Do) + 1.0Eoa Operating weight + earthquake
(earthquake uplift case)
5b 0.9(De) + 1.0Eea Empty weight + earthquake
(earthquake uplift case)
6 0.9(Df) + 1.6Wp Erection weight + partial windb
(wind uplift case)
7 1.4(Dt) Test weight
8 1.2(Dt) + 1.6Wp Test weight + partial wind
a For skirt-supported vertical vessels and skirt-supported elevated tanks classified as occupancy category IV in accordance with SEI/ASCE 7-05, the critical earthquake provisions and
implied load combination of SEI/ASCE 7-05 shall be followed.
b Erection weight + partial wind is required only if the erection weight of the vessel is significantly less than the empty weight of the vessel. This case is only applied if the erection weight
of the vessel is significantly less than the empty weight of the vessel.122 Construction Management and Design of Industrial Concrete and Steel Structures
3.3.1 Load Combinations
Load combinations are provided to cover all cases of probability of combination for any types of loads to the structure at the same time along its
lifetime. For the industrial projects, the specific combination should be studied carefully and reviewed in every project, as it is different from one mode
of operation to another, as is the way of testing the vessel, the piping, and
the construction procedure itself. In this book, the load combination will be
according to ASCE 7-05. If the owner has not specified any another code, it is
preferable to use this standard and the load combination in this section may
be considered as a guideline to the load combinations for specific types of
structures in both allowable stress design (ASD) and load resistance.
TABLE 3.25
Loading Combinations—Allowable Stress Design (Service Loads)
Load
Combination
No.
Load
Combination
Allowable
Stress
Multiplier Description
1 D
o + (T or Ff)b 1.00 Operating weight + thermal expansion
or friction force
2 D
o + L + (T or Ff)b 1.00 Operating weight + live load + thermal
expansion or friction force
3 D
o + (W or 0.7Eo)a 1.00 Operating weight + wind or earthquake
4 D
e + W 1.00 Empty weight + wind
(wind uplift case)
5a 0.9(Do) + 0.7Eo 1.00 Operating weight + earthquake
(earthquake uplift case)
5b 0.9(De) + 0.7Ee 1.00 Empty weight + earthquake
(earthquake uplift case)
6 Df + Wpc 1.00 Erection weight + partial wind
(wind uplift case)
7 D
t + Wp 1.20 Test weight + partial wind
(for horizontal vessels only)
8 D
e
d
+ B
p 1.00 Empty weight + bundle pull
(for heat exchangers only)
a Wind and earthquake forces shall be applied in both transverse and longitudinal directions,
but shall not necessarily be applied simultaneously.
b The design thermal force for horizontal vessels and heat exchangers shall be the lesser of
T or Ff.
c Erection weight + partial wind is required only if the erection weight of the vessel or exchanger
is significantly less than the empty weight of the vessel or exchanger.
d Heat exchanger empty dead load will be reduced during bundle pull because of the removal
of the exchanger head.Loads on Industrial Structures 123
Allowable Stress Design
1. The noncomprehensive list of typical load combinations for each
type of structure provided here shall be considered and used as
applicable.
2. Engineering judgment shall be used in establishing all appropriate
load combinations.
3. The use of a one-third stress increase for load combinations, including wind or earthquake loads, shall not be allowed for designs using
the American Institute of Steel Construction (AISC) ASD.
4. Steel structures in seismic design category D or higher shall use factored load combinations as specified in ANSI/AISC 341-02, Part III
(Allowable Stress Design Alternative).
TABLE 3.26
Loading Combinations and Load Factors—Strength Design
Load
Combination No. Load Combination Description
1 1.4(Do) + 1.4(T or Ff)b Operating weight + thermal expansion or
friction force
2 1.2(Do) + 1.6L + 1.2(T or Ff)b Operating weight + live load + thermal
expansion or friction force
3 1.2(Do) + (1.6W or 1.0Eo)a Operating weight + wind or earthquake
4 0.9(De) + 1.6W empty weight + wind
(wind uplift case)
5a 0.9(Do) + 1.0Eo Operating weight + earthquake
(earthquake uplift case)
5b 0.9(De) + 1.0Ee Empty weight + earthquake
(earthquake uplift case)
6 0.9(Df)c + 1.6Wp Erection weight + partial wind
(wind uplift case)
7 1.4(Dt) Test weight
(for horizontal vessels only)
8 1.2(Dt) + 1.6Wp Test weight + partial wind
(for horizontal vessels only)
9 1.2(Ded) + 1.6Bp Empty weight + pundle pull
(for heat exchangers only)
10 0.9(Ded) + 1.6Bp Empty weight + bundle pull
(for heat exchangers only)
(bundle pull uplift case)
a Wind and earthquake forces shall be applied in both transverse and longitudinal directions,
but shall not necessarily be applied simultaneously.
b The design thermal force for horizontal vessels and heat exchangers shall be the lesser of
T or F.
c This case only applies if the erection weight of the vessel is significantly less than the empty
weight of the vessel.
d Heat exchanger empty dead load will be reduced during bundle pull because of the removal
of the exchanger head.124 Construction Management and Design of Industrial Concrete and Steel Structures
The dead load factor used for the seismic uplift ASD load combinations is
generally taken as 0.9. This factor is greater than the 0.6 dead load factor used
in the ASD load combinations in Section 2 of ASCE 7-02, because the dead
loads of nonbuilding structures are known to a higher degree of accuracy
than are the corresponding dead loads of buildings. A dead load factor of 0.9
instead of 1.0 is used to account for the effect of vertical seismic forces.
This reduction is necessary because foundations sized using ASD loads,
except for foundations for ground-supported storage tanks, are generally not
required to consider the effect of vertical seismic forces. A dead load factor of
1.0 is used for the wind uplift ASD load combinations because of the higher
accuracy of dead loads of nonbuilding structures.
Load Resistance Factor Design
1. The noncomprehensive list of typical factored load combinations
for each type of structure provided shall be considered and used as
applicable.
2. Engineering judgment shall be used in establishing all appropriate
load combinations.
TABLE 3.27
Loading Combinations—Allowable Stress Design (Service Loads)
Load
Combination
No. Load Combination
Allowable
Stress
Multiplier Description
1 D
s + Do + Ff + T + Af 1.00 Operating weight + friction
force + thermal expansion +
anchor force
2 D
s + Do + Af + (Wa or 0.7Eob) 1.00 Operating weight + anchor +
wind or earthquake
3 D
s + Dec + Wa 1.00 Empty weight + wind
(wind uplift case)
4a 0.9(Ds) + 0.6(Do) +Af + 0.7Eod 1.00 Operating weight +
earthquake
(earthquake uplift case)
4b 0.9(Ds + Dec) + 0.7Ee 1.00 Empty weight + earthquake
(earthquake uplift case)
5 D
s + Dt + Wp 1.20 Test weight + partial winde
a Considerations of wind forces are normally not necessary in the longitudinal direction because
friction and anchor loads will normally govern.
b Earthquake forces shall be applied in both transverse and longitudinal directions, but shall
not necessarily be applied simultaneously.
c 0.6D
o is used as a close approximation of the empty pipe condition De.
d Full D
s + Do value shall be used for the calculation of Eo in load combination 4a.
e Test weight + partial wind normally is required only for local member design because test is
not typically performed on all pipes simultaneously.Loads on Industrial Structures 125
3. The following load combinations are appropriate for use with the
strength design provisions of either AISC LRFD (third edition or
later).
For all the load combinations, the value of the structure dead load, DS—the
weight of material forming the structure—will be included in other values
of the dead load that is most applicable, in case only the operating load and
empty load will be available. The foundation weight of uplift should be calculated and added as a dead load to resist the uplift and this will be illustrated in Chapter 6.
3.3.1.1 Vertical Vessels
Load combinations affecting the vertical vessel are shown in Table 3.23 as a
guide (see also Table 3.24). The design of the vertical vessel is illustrated in
Chapter 6.
3.3.1.2 Horizontal Vessels and Heat Exchangers
Designers of heat exchangers and horizontal vessels, such as the separator
knockout drums and others, should use the load combinations for these vessels given in Table 3.25 (see also Table 3.26).
TABLE 3.28
Loading Combinations and Load Factors Strength Design
Load
Combination No. Load Combination Description
1 1.4(Do + Ff + T + Af) Operating weight + friction force +
thermal expansion + anchor
2 1.2(Do + Af) + (1.6Wa or 1.0Eob) Operating weight + anchor + wind or
earthquake
3 0.9(Dec) + 1.6Wa Empty weight + wind
(wind uplift case)
4a 0.9(Do) + 1.2(Af) + 1.0Eo Operating weight + earthquake
(earthquake uplift case)
4b 0.9(Dec) + 1.0Ee Empty weight + earthquake (earthquake
uplift case)
5 1.4(Dt) Test weight
6 1.2(Dt) + 1.6Wp Test weight + partial windd
a Considerations of wind forces are normally not necessary in the longitudinal direction because
friction and anchor loads will normally govern.
b Earthquake forces shall be applied in both transverse and longitudinal directions, but shall
not necessarily be applied simultaneously.
c The value of 0.6D
o is used as a close approximation of the empty pipe condition De.
d Test weight + partial wind normally is required only for local member design because the test
is not typically performed on all pipes simultaneously.126 Construction Management and Design of Industrial Concrete and Steel Structures
3.3.1.3 Pipe Rack and Pipe Bridge Design
See Tables 3.27 and 3.28.
3.3.1.4 Ground-Supported Storage Tank Load Combinations
Load combinations for ground-supported storage tanks shall be taken from
the API Standard 650 and modified for use with SEI/ASCE 7-05 loads and
PIP nomenclature (Table 3.29).
Load combinations for static machinery, skid and modular equipment, filters, and other equipment shall be similar to the load combinations for vertical vessels.
3.3.2 Test Combinations
Engineering judgment shall be used in establishing the appropriate application of test load combinations to adequately address actual test conditions
in accordance with project and code requirements, while avoiding overly
conservative designs. Consideration shall be given to the sequence and combination of testing for various equipment, vessels, tanks, and piping systems
supported on common structures, pipe racks, or foundations. Full wind
TABLE 3.29
Loading Combinations—Allowable Stress Design (Service Loads)
Load
Combination No. Load Combination Description
1 D
o + Pi Operating weight + internal pressurea
2 D
t + Pt Test weight + test pressure
3 (De or Do) + W + 0.4Pib Empty or operating weight + wind +
internal pressurea
4 (De or Do) + W + 0.4Peb Empty or operating weight + wind +
external pressure
5 D
o + (L or S) + 0.4Peb Operating weight + live or snow +
external pressure
6 (De or Do) + 0.4(L or S) + Pe Empty or operating weight + live or snow +
external pressure
7 D
o + 0.1S + Eoc + 0.4Pib Operating weight + snow + earthquake +
internal pressurea
(earthquake uplift case)
8 D
o + 0.1S + Eoc Operating weight + Snow + Earthquake
a For internal pressures sufficient to lift the tank shell according to the rules of API Standard
650, tank, anchor bolts, and foundation shall be designed to the additional requirements of
API Standard 650 Appendix F.7.
b If the ratio of operating pressure to design pressure exceeds 0.4, the owner shall consider
specifying a higher factor on design pressure in load combinations 3, 4, 5, and 7 of this table.
c Earthquake loads for API Standard 650 tanks taken from ASCE/SEI 7 “bridging equations” or
from API Standard 650 already include the 0.7 ASD seismic load factor.Loads on Industrial Structures 127
and earthquake loads are typically not combined with test loads unless
an unusually long test duration is planned (i.e., if a significant probability
exists that the partial wind velocity will be exceeded or an earthquake event
may occur). Additional loading shall be included with the test if specified
in the contract documents. For ASD, a 20% allowable stress increase shall
be permitted for any test load combination. For ultimate strength and limit
states design, no load factor reduction shall be permitted for any test load
combination.
References
ACI 318-02, 2002. Building code requirements for structural concrete, ACI Manual of
Concrete Practice. Farmington Hills, MI: ACI.
AISC 341-97. 1997.Seismic Provisions for Structural Steel Buildings,including Supplement
No. 1. Part I: February 15, 1999. Part II: July 1997. Chicago, IL: AISC.
AISC 316-89. 1989. Manual of Steel Construction: Allowable Stress Design. Chicago, IL:
AISC.
AISC LRFD 325-01. Manual of Steel Construction, 3rd Edition. Chicago, IL: AISC.
ASCE 40262. 1997. Wind Load and Anchor Bolt Design for Petrochemical Facilities. Ann
Arbor, MI: ASCE.
ASCE. ASCE 7–02. 2002. Minimum Design Loads for Buildings and Other Structures. Ann
Arbor, MI: ASCE.
ASCE. SEI/ASCE 7 –05, 2005: Minimum Design Loads for Buildings and Other Structures.
Ann Arbor, MI: ASCE.
ASME Standard B31.8. 1995. Gas Transmission and Distribution Piping Systems. New
York, NY: ASME.
ASME Standard. 2000. Boiler and Pressure Vessel Code, including Addenda. New York,
NY: ASME.
ASTM Standard D2166-91. 1991. Test Method for Unconfined Compressive Strength
of Cohesive Soil, ASTM Annual Book of Standards. West Conshohocken, PA:
ASTM International.
ASTM Standard D2850-87. 1987. Test Method for Unconsolidated, Undrained
Compressive Strength of Cohesive Soils in Triaxial Compression, ASTM Annual
Book of Standards. West Conshohocken, PA: ASTM International.
ASTM D1586-84 Standard Test Method for Standard Penetration Test (SPT) and SplitBarrel Sampling of Soils.
SEI/ASCE 3702. Design Loads on Structures during Construction Standard.129
4
Design of Foundations for
Vibrating Equipment
4.1 Introduction
The design of foundations and structures subjected to vibratory loads is considered to be a complex process presenting problems involving structural
and geotechnical engineering and the theory of vibration. The structural
form of a machine foundation is generally determined by the information
provided by the geotechnical consultant and the machine’s manufacturer.
However, it is necessary during the design phase to adjust the dimensions of
the foundation to meet design criteria or to accommodate other fixed facilities such as pipelines, other foundations, or neighboring buildings.
The foundation may be shallow or deep like the pile, which is the most
well-known type of foundation and is used in cases of weak soil. There are
two other structural configurations of foundations:
1. A block-type foundation consists of a thick slab of concrete fixed
directly to the machine and other fixed auxiliary equipment. This
type of foundation is the most traditional in oil and gas processing
plants and petrochemical plants.
2. An elevated pedestal foundation consists of a base-slab and vertical
columns supporting a grid of beams at the top, on which rests skidmounted machinery. This type of support is traditionally used in
electrical power station projects.
4.2 Machine Requirements
There are two large groups of machines: centrifugal and reciprocating machines. It is essential to obtain a machine’s technical data from the130 Construction Management and Design of Industrial Concrete and Steel Structures
manu facturer in order to design a foundation for it. The required machine
data, properties, and parameters include the following:
•	 Outline drawings of the machine assembly
•	 Function of the machine
•	 Weight of the machine and the weight of the rotor
•	 Location of the center of gravity in the space x, y, and z
•	 Speed ranges of the machine or the free frequency of unbalanced
primary and secondary forces
•	 Magnitude and direction of unbalanced forces, both vertically and
horizontally, and their points of application
•	 Limits imposed on the foundation with respect to differential deflection between points on the planned area
•	 Foundation requirements
The magnitude and direction of the unbalanced forces are often not available from the machine manufacturer, as many manufacturers maintain
that their centrifugal machines are perfectly balanced. For reciprocating
machines, the unbalanced forces are generally of considerable magnitude
and are provided by manufacturers. The settlement should have a limit to
avoid any damage to the pipes that are fixed to the machine. Limits of differential settlement in the case of high-pressure gas 50,000-psi piping should
be less than 0.0025 mm (0.0001 in.).
4.3 Foundation Design
The main physical concept in designing foundations for vibrating equipment
is based on the logical phenomena that a lightweight body cannot vibrate a
heavyweight body. So, one must design a machine foundation that has a higher
weight than that of the machine it will support. This chapter presents how to
choose the distribution of this weight based on reasonable dimensions.
4.3.1 Trial Foundation Sizing Guidelines
Arya et al. (1984) provide the following guidelines, which are very useful
for choosing the dimensions of the foundation and for checking the analysis
that is acceptable in most cases.
•	 A rigid block-type foundation resting on soil should have a weight
of 2 to 3 times the weight of a centrifugal-type machine. For aDesign of Foundations for Vibrating Equipment 131
reciprocating machine type, the foundation weight should be from 5
to 7 times the weight of the machine.
•	 The top of the foundation is usually 300 mm above the finished floor
or pavement elevation to avoid damage from surface water runoff
due to rain or washing of the facilities.
•	 In any case, the depth of the foundation should not be less than 600
mm. The depth is generally verified by the required foundation
weight. The depth of the foundation is governed by the length of
anchor bolts.
•	 The foundation should be wide enough to increase damping in rocking mode. Therefore, the width should be at least 1 to 1.5 times the
vertical dimension from the machine centerline to the foundation
base.
•	 After obtaining the physical dimensions of the machine, you can
now define the foundation length, including a clearance of about
300 mm from the machine edge to the foundation edge for maintenance purposes.
•	 The length and width of the foundation should be adjusted to verify
that the center of gravity of the machine plus the equipment coincides with the foundation’s center of gravity.
The design of a block foundation resting on piles should include the following precautions:
1. The pile cap weight should be 1.5 to 2.5 times the machine weight for
centrifugal machines and from 2.5 to 4 times the machine weight for
reciprocating machines.
2. The pile should be arranged so as to ensure that the centroid of
the pile group coincides with the center of gravity of the combined
structure and machine loads.
Figure 4.1 presents a diesel generator package considered to be a type of
reciprocating machine.
Most industries use a centrifugal machine in different applications, such
as compressors or pumps. Figure 4.2 shows a gas turbine generator.
In a gas turbine generator, the vibration is usually lower than other applications. Figure 4.3 illustrates the process of fixing the skid to concrete. As you
can see, there are two bolts—one is the anchor bolt and the other is located
under a steel plate that is fixed during the pouring of the concrete. When
rotated, the bolt will rest on this steel plate and the level of the machine may
be adjusted during installation by moving the bolt.132 Construction Management and Design of Industrial Concrete and Steel Structures
4.3.2 Foundation Dynamic Analysis
Machinery foundations shall be designed based on the equipment manufacturer’s recommendations, published design procedures, and criteria for
dynamic analysis.
The foundation under machine will be considered a single degree of freedom when performing the dynamic analysis and the summary of the derived
expression is shown in Table 4.1.
If the equipment manufacturer’s vibration criteria are not available, the
maximum velocity of movement during steady-state normal operation shall
be limited to 0.12 in./s (3.0 mm/s) for centrifugal machines and 0.15 in./s
FIGURE 4.1
Diesel generator.
FIGURE 4.2
Gas turbine generator.Design of Foundations for Vibrating Equipment 133
(3.8 mm/s) for reciprocating machines. Any support structures or foundations for centrifugal machinery greater than 500 hp shall be designed for the
expected dynamic forces using dynamic analysis procedures.
For centrifugal machinery less than 500 hp, in the absence of a detailed
dynamic analysis, the foundation weight shall be designed to be at least
3 times the total machinery weight, unless specified otherwise by the equipment manufacturer. When using reciprocating machinery less than 200 hp,
FIGURE 4.3
Fixing the skid to concrete.
TABLE 4.1
Summary of Derived Expressions for a Single-Degree-of-Freedom System
Expression
Constant Force Excitation
Fo
Constant
Rotating Mass Type Excitation
Fo
= meω2
Magnification factor
M
r Dr
=
− +
1
( ) 1 2 2 2 ( )2
M r
r Dr
=
− +
2
( ) 1 2 2 2 ( )2
Amplitude at
frequency, f
Y = M(Fo/k) Y = Mr(m1e/m)
Resonant frequency,
fmr f f mr = − n 1 2D2 f f
D
mr
n
=
1 2 − 2
Amplitude at
frequency, fr Y F k
D D
mnr
o
=
−
( / )
2 1 2
Y m e m
D D
mnr =
−
( / 1 )
2 1 2
Transmissibility factor
T
Dr
r Dr
=
+
− +
1 2
1 2
2
2 2 2
( )
( ) ( )
T
r Dr
r Dr
=
+
− +
2 2
2 2 2
1 2
1 2
( )
( ) ( )
Note: Where r = ω/ωn, ωn is the undamped natural circular frequency (in k/m)0.5; D is the
damping ratio (C/Cc); Cc is the critical damping [2(km)0.5]; Tr is the force transmitted/
F
o, and Tr is the force transmitted/m1eωn2.134 Construction Management and Design of Industrial Concrete and Steel Structures
in the absence of a detailed dynamic analysis, the foundation weight shall be
designed to be at least 5 times the total machinery weight, unless otherwise
specified by the manufacturer.
4.3.3 Soil Parameter
The allowable soil bearing or pile capacity for foundations designed for
dynamic load equipment shall be a maximum of half what is normally
allowable for static loads. The allowable soil bearing will be provided by the
geotechnical consultant’s office, which will perform soil investigation tests
as illustrated in Chapter 13. Table 4.2, from Installation of Waukesha Engines
and Generator Systems Manual (Dresser Waukesha, 2004), provides us with a
guideline for the allowable soil-bearing capacity.
The maximum eccentricity between the center of gravity of the combined
weight of the foundation and machinery and the bearing surface shall be 5%
in each direction.
Structures and foundations that support vibrating equipment shall have a
natural frequency that is outside the range of 0.80 to 1.20 times the exciting
frequency. For this type of foundation, there are some required soil parameters for vibrating equipment:
•	 The allowable bearing capacity
•	 The soil density, ρ
•	 The shear modulus, G
•	 The shear wave velocity shall be calculated from the formula:
TABLE 4.2
Expected Approximate Values for Soil Bearing Capacity Based on Soil Type
Nature of Soil Safe Bearing Capacity (ton/m2)
Hard rock—granite, etc. 240–980
Medium rock, shale, etc. 100–150
Hard pan 80–100
Soft rock 50–100
Compacted sand and gravel 50–60
Hard clay 40–50
Gravel and coarse sand 40–50
Loose, medium, and coarse sand, compacted
fine sand
30–40
Medium clay 20–40
Loose fine sand 10–20
Soft clay 15
Source: Dresser Waukesha, Installation of Waukesha Engines and Generator Systems,
Dresser Waukesha, Waukesha, WI, 2004.Design of Foundations for Vibrating Equipment 135
V G
s =
ρ
•	 The dynamic coefficient of subgrade reaction for vertical vibration, Kz
For a rigid rectangular footing of plan area, A, on a semi-infinite elastic halfspace (Barkan, 1962; Richard et al., 1970)
K B
A
G
z
z
=
( ) −


1 ν
where
V = Poisson’s ratio and is equal to 0.3 as a typical value for the sand
G = Shear modulus
B
z = Ratio of the length to breadth of footing of about 1.40
Barkan suggests that, for an allowable static bearing capacity of about
0.15 N/mm2, Kz should be not less than 0.03 N/mm3:
•	 Coefficient of subgrade reaction for horizontal vibrations, Kx
K
x = 0.5Kz
•	 Coefficient of subgrade reaction for rocking vibrations, Kϕ
K
ϕ = 2Kz
•	 Coefficient of subgrade reaction for torsion vibrations, Kθ
K
θ = 0.75Kz
Table 4.3 provides the equations to calculate the effective radius of footing in
cases of horizontal and vertical vibration, rocking, and torsional vibration.
TABLE 4.3
Effective Radius of Footing, ro
Vertical and horizontal vibration
BL
π
Rocking
4 ( ) BL3 / 3π
Torsional
4 BL( ) B L 2 2
6
+
π
Note: B, width of foundation; L, length of foundation.136 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 4.4
Main Parameters
Vibration
Mode Mass Ratio (B) Damping Parameters Damping Ratio Spring Constant, K Natural Frequency, fn
Vertical
B m
r
z =
−( )1ν 34ρo
c
r G
z =
−
3 4
1
. o ρ
ν
D
B
z
z
=
0 425.
k Gr
z =
−
4 1
o ν
f k
m
z
z
n =
1
2π
Horizontal
B m
r
x =
− −
( )
( )
7 8
32 1 3
ν
ν ρ o
c
G
x =
− −
18 4 1
7 8
. ( ν ρ )
ν
D
B
x
z
=
0 288.
k Gr
x =
−−
32 1
7 8
( ) ν
ν
o
f k
m
x
x
n =
1
2π
Rocking
B m
r
ψ
ν
ρ
=
3 1 −
8 3
( )
o
c
r G
ψ B
ψ
ρ
ν
=
− +
0 8
1 1
4
.
( )( )
o D
B B
ψ
ψ ψ
=
+
0 15
1
.
( )
k Gr
ψ
ν
=
−
8
3 1
3o
( ) fnψ Ikψ
π ψ
=
1
2
Torsional
B I
r
θ
θ
ρ
=
5o
c
B G
θ B
θ
θ
ρ
=
+
4
1 2
D
θ B
θ
=
+
0 50
1 2
. k Gr
θ =
16
3
3o
f k
nθ I
θ
π θ
=
1
2Design of Foundations for Vibrating Equipment 137
Table 4.4 provides a summary by which to calculate the mass ratio, damping ratio, spring constant, and natural frequency for different modes of
vibra tion based on the foundation dimensions and the geotechnical data
from the soil investigation tests.
Example 1: Centrifugal Machine
The machine data are given below.
Machine Data
Compressor weight, Wc = 35,270 lb = 16 tons
Rotor weight, Wr = 2100 lb = 0.952 tons
Operating speed, ω = 6949 rpm; (f) = 727.7 rad/s
Critical speed, ωc = 3400 and 9000 rpm
Eccentricity of unbalanced mass, e′ = 0.0015 in (0.0381 mm) (this value is provided by the manufacturer for the static condition)
It is worth noting that the value of eccentricity due to the unbalance of mass
is usually not available from the manufacturer, but there were some studies performed in 1962 that presented some values that can assist us in predicting this
value, as shown in Table 4.5.
The equation delivered by the American Petroleum Institute for centrifugal compressors is
e (mil) = α(12,000/ω)0.5 < 1.0 mil
where
α = 0.5 at installation time
α = 1.0 after several years of operation
1 mil = 0.001 in. = 0.0254 mm
The dynamic eccentricity (e) = e′/(1 − (ω/ωc)2) = 0.000472 in = 0.01199 mm
Centrifugal force Fo = (Wr/g)ef2 = 0.616 tons
Turbine Data
Weight, Wt = 7.26 tons
Rotor weight, Wr = 0.247 tons
Operating speed, ω = 6949 rpm
TABLE 4.5
Design Eccentricity for Centrifugal Machines
Operating Speed (rpm) Eccentricity (mm)
750 0.356–0.812
1500 0.203
3000 0.051
Source: API Standard 617.138 Construction Management and Design of Industrial Concrete and Steel Structures
Critical speed, ωc, at 2000 and 9000 rpm
Dynamic eccentricity at operating speed:
e = 0.0381/[1 − (6949/2000)2] = 0.00343 mm
Centrifugal force, Fo = 0.0458 tons
Total centrifugal force = 0.616 + 0.0458 = 0.662 tons
Skid weight, Wb = 2.27 tons
Total machine weight = Wc + Wt + Wb = 16 + 7.26 + 2.27 = 25.53 tons
Soil Data
Soil density, g = 20 kN/m3
Shear modulus, G = 6500 psi = 44.82 N/mm2
Poisson’s ratio, v = 0.45
Soil internal damping ratio, D = 0.05
Static allowable bearing capacity, q = 72 kN/m2
Selection of Foundation Criteria
The foundation data are shown in Figure 4.4.
Weight of the footing, Wf = 45.58 tons
Total static weight = machine weight + footing weight = 25.53 + 45.58 = 71.11 tons
Actual soil pressure = 71.11/3.8(6.0) = 3.11 ton/m2
<0.5 qall OK
Wf/Wm = 1.78, which is close to 2 OK
Dynamic Analysis
The axis of rotation of the shaft is located 6 ft (1.8 m) above the foundation bottom. The dynamic force will excite the structure in three different modes: vertical,
horizontal, and rocking.
6.0 m
3.8 m
1.0 m
Axis of
rotation
(shaft)
CG of footing
and
machine
1.0 m
FIGURE 4.4
Sketch for centrifugal machine.Design of Foundations for Vibrating Equipment 139
V—static condition check
1. Static bearing capacity is 50% of the allowable bearing capacity.
2. Static settlement must be uniform, as the CG of footing and machine
coincides.
3. Bearing capacity for static plus dynamic loads will be less than 0.75 of the
allowable bearing capacity.
4. The magnification factor should be less than 1.5.
Limiting Dynamic Condition
After calculating the dynamic analysis parameters, the level of vibration should
be within the following limits. If it is beyond the limits, another trial of foundation
dimensions should be performed.
1. By knowing the vibration amplitude and operating frequency, Figure 4.5 presents the allowable and safe limits for the amplitude and operating frequency
(rpm). In our case, the vertical vibrating amplitude is 0.000019 in. at 6949
rpm. From the figure, we can determine that it is within safe limits.
TABLE 4.6
Summary of the Dynamic Analysis for Three Modes of Failure
Item Parameters Source Vertical Horizontal
Rocking
Oscillation
1 r
o Table 4.3 ro = 2.71 m ro = 2.71 m ro = 2.44 m
2 Mass M = W/g 72.5 kN s2/m 72.5 kN s2/m 105,128
3 Mass ratio Table 4.4 0.24 0.35 0.166
4 Geometric
damping ratio
Table 4.4 0.868 0.494 0.361
5 Spring coefficient Table 4.4 2.15 0.95 0.46
6 Equivalent spring
constant
Table 4.4 57.85 ×
104 lb/ ft
40.77 ×
106 lb/ ft
2446.36 ×
106 lb ft/rad
7 ω
n Table 4.4 1040.9 rpm 873.9 rpm 1449.8 rpm
8 Resonance
frequency, fmr
Table 4.1 Not possible 1221.4 rpm 1686.1 rpm
9 Magnification
factor, M
Table 4.1 0.022 0.016 0.045
10 Dynamic force 6.5 kN 6.5 kN 13 m kN
11 Vibration
amplitude
Table 4.1 1.42 × 10−5 mm 1.45 × 10−5 mm 0.1611 × 10−6
rad
12 Component of
rocking oscillation
2.558 × 10−5
mm
2.47 × 10−5 mm
13 Resultant vibration
amplitude
0.000019 in.
(0.000483 mm)
0.000018 in.
(0.000457 mm)
14 Transmissibility
factor, Tr
0.256 0.127 0.162140 Construction Management and Design of Industrial Concrete and Steel Structures
2. The velocity = 2πf (cps) × displacement amplitude as calculated above.
Compare with the limiting value in Table 4.7 to determine that the velocity
is equal to 0.0138 in./s and that this velocity falls within smooth operation
parameters.
3. The magnification factor should be less than 1.5, which is applicable in this
example.
4. The machine frequency should have at least a difference of ±20% from the
resonance frequency.
0.8 ω
mr ≥ ω ≥ 1.2 ωmr
ω/ω
mr = 6949/1221.4 = 5.69 > 1.2 OK
Example 2: Reciprocating Machine
The following data are for the machine. The data for the auxiliary equipment
should be supplied by the machine vendor.
0.0001
0.001
0.01
0.1
Displacement amplitude, Amax (in.)
Troublesome
to observers
Dangerous to
structures
Limits for
machine and
foundation
Not
noticeable to
observers
100 200 500 1000 2000 5000 10,000
Frequency (rpm)
Easily noticed
by observers
FIGURE 4.5
Frequency limits.Design of Foundations for Vibrating Equipment 141
Machine Data
Compressor = 12.75 tons
Gas coolers = 1.972 tons
Scrubbers = 3.179 tons
Motor = 8.164 tons
Rotor weight = 2.721 tons (included in compressor weight)
Total machine load = 26.07 tons
Dynamic Forces
1. Compressor speed, primary (operating) = 585 rpm, secondary = 1170 rpm
2. Vertical, primary force, Fz = 0.603 tons
3. Vertical, secondary force Fz = 0.251 tons
4. Horizontal, primary force, Fx = 0.329 tons
5. Rocking, primary moment, Tψ = 1.563 mt
6. Pitching, primary moment, Tϕ= 4.70 mt
7. Pitching, secondary moment, Tϕ = 1.71 mt
Soil and Foundation Parameters
Soil density = 18.7 kN/m3
Shear modulus, G = 96.53 N/mm2
Poisson’s ratio, v = 0.35
Soil internal damping ratio, D = 0.05
Static allowable bearing capacity, qall = 120 kN/m2
Permanent settlement of soil = 5 mm at 120 kN/m2
Trial Sizing for the Foundation
The trial-size footing, using the previous trial described in Section 4.3.1 as a guide,
will be as shown in Figure 4.6.
TABLE 4.7
General Machinery Vibration Severity Data
Horizontal Peak Velocity, in./s (mm/s) Machine Operation
<0.005 (<0.127) Extremely smooth
0.005–0.010 (0.127–0.245) Very smooth
0.010–0.020 (0.254–0.508) Smooth
0.020–0.040 (0.508–1.016) Very good
0.04–0.080 (1.016–2.032) Good
0.080–0.160 (2.032–4.064) Fair
0.160–0.315 (4.046–8.00) Slightly rough
0.315–0.630 (8.00–16.00) Rough
>0.630 (>16.00) Very rough
Source: Baxter, R. L., and Bernhard, D. L., Vibration Tolerances for
Industry, ASME Paper 67-PEM-14, Plant Engineering and
Maintenance Conference, Detroit, MI, April, 1967.142 Construction Management and Design of Industrial Concrete and Steel Structures
Weight of the footing, WF = 147.35 tons
Total static load = machine weight + footing weight = 173.41 tons
Footing weight/machine weight = 5.65 > 5 OK
Actual soil pressure = = 173 41 . / 8 4 4 8 4 3 . ( . ) . ton/m2
≤qall OK
This trial dimension is OK.
1. Mass and mass moment of inertia
M = W ∕ g
I mt a b m k
n
ψ φ + = + +


∑ 12 12 12 1 12
1
( )
where
m
1= machine mass
k
1 = distance from machine CG and bottom of the foundation
m
t = foundation mass
Vertical Excitation
(z Direction)
Horizontal Direction
(x Direction)
Rocking Excitation
(ψ Direction)
Pitching Excitation
(ϕ Direction)
m = 173.41 kN s2/m m = 173.41 kN s2/m I
ψ (machine) = 162.9
Iψ
(footing) = 976.93
Total = 1139.83 kN
s2/m
Iϕ
(machine) = 162.9
Iϕ
(footing) = 393.4
Total = 556.3 kN
s2/m
8.4 m
4.8 m
1.5 m
Axis of
rotation
CG of footing (shaft)
and
machine
1.0 m
Axis of pitching, φ
Axis of rocking,
Compressor forces
Motor
forces
FIGURE 4.6
Sketch for reciprocating machine.Design of Foundations for Vibrating Equipment 143
2. Spring constant
This data will be calculated from the following table:
In rock direction, L = 8.4 m and B = 4.8 m
In pitching direction, L = 4.8 m and B = 8.4 m
Parameter
Vertical
Excitation
(z Direction)
Horizontal
Direction
(x Direction)
Rocking
Excitation
(ψ Direction)
Pitching
Excitation
(ϕ Direction)
Equivalent radius, ro 3.58 m 3.58 m 4.16 m 3.15 m
Embedment factor, η 1.1 1.232 1.175 1.235
Spring constant
coefficient, B
2.15 0.95 0.58 0.45
Equivalent spring
constant, k
227,167 t/m’ 197,302 t/m’ 3481 × 104
m.t/rad
1626 × 104
m.t/rad
3. Damping ratio
Parameter
Vertical
Excitation
(z Direction)
Horizontal
Direction
(x Direction)
Rocking
Excitation
(ψ Direction)
Pitching
Excitation
(ϕ Direction)
Embedment factor, α 1.254 1.623 1.024 1.041
Mass ratio, B 0.328 0.408 0.115 0.222
Effective damping
coefficient
1.6 1.58
Geometrical damping
ratio, D
0.931 0.732 0.302 0.195
Internal damping, D 0.05 0.05 0.05 0.05
Total damping 0.981 0.782 0.352 0.245
4. Natural frequency
f k
m
n =
60
2π
5. Machine parameter
F
zo(P) = 0.603 tons
F
zo(S) = 0.25 tons
F
xo(p) = 0.329 tons
T
ψo(P) = 1.563 + 0.329 × 2.44 = 2.366 mt
T
ϕo(P) = 4.7 mt
T
ϕo(S) = 1.71 mt144 Construction Management and Design of Industrial Concrete and Steel Structures
Displacement Response
The displacement response will be calculated from the following equations:
In vertical direction, z
Z M F K
= ⋅ ∑ z zo z
In horizontal direction, x
X M F K
= ⋅ ∑ x xo x
In rocking excitation
Ψ =∑M F ψ ψ ⋅ o Kψ
In pitching excitation
φ = ⋅ ∑M F φ φo Kφ
Total displacement in z direction = Z + ψ ⋅ L/2 + ϕ ⋅ B/2
Parameter
Vertical
Excitation
(z Direction)
Horizontal
Direction
(x Direction)
Rocking
Excitation
(ψ Direction)
Pitching
Excitation
(ϕ Direction)
Natural frequency 1082.8 1009.1 1677.6 1611.2
Resonance frequency 2D2 > 1 2D2 > 1 fmψ = 1934.3 fmϕ = 1717.6
Vibrating force Fzo(P) = 0.603
tons
F
zo(S) = 0.25
tons
F
xo(p) = 0.329
tons
T
ψo(P) =
2.366 mt
Tϕ
o(P) = 4.7 mt
Tϕ
o(S) = 1.71
mt
Magnification factor Mz, max not
possible
M
x, max not
possible
M
ψ(P) = 1.111
at 585 rpm
M
ψ(S) = 1.454
at 1170 rpm
M
ϕ(P) = 1.128
at 585 rpm
M
ϕ(S) = 1.690
at 1170 rpm
Displacement response 0.0026 mm ×
10−2 in.
0.0015 mm ×
10−2 in.
0.8128 ×
10−6 rad
5.0369 ×
10−6 rad
Total displacement 0.018 mm ×
10−3 in.
0.011 mm ×
10−3 in.
Limiting the Dynamic Condition
1. The maximum vibrations for the horizontal and vertical dimensions are
0.000717 in. (0.0182 mm) and 0.000443 in. (0.01125 mm), respectively. If
you check Figure 4.5, you will find that these numbers fall within the safe
zone at the operating frequency of 585 rpm.
2. The velocity is equal to 2πf/(cps) × displacement as calculated above and
compared to the limiting values in Table 4.7.Design of Foundations for Vibrating Equipment 145
3. Acceleration is calculated as 4π2f2/(cps) × displacement. This check should
be considered if the above checks are not satisfactory and the acceleration
should be compared with the same figure.
4. The magnification factor should be less than 1.5, which was used in this
example.
5. The acting frequency of the machine should have a difference of at least
±20 from the resonance frequency. For horizontal and vertical directions,
there is no resonance.
For rocking mode:
0.8 f
m = 0.8 × 1934.4 = 1547.4 rpm
1.2 f
m = 1.2 × 1934.4 = 2321.2 rpm
The primary and secondary frequencies are 585 and 1170 rpm, respectively,
and are considered safe and without resonance.
For pitching mode:
0.8 f
m = 0.8 × 1717.6 = 1374.1 rpm
1.2 f
m = 1.2 × 1717.6 = 2061.1 rpm
The primary and secondary frequencies are 585 and 1170 rpm, respectively,
and are considered safe and without resonance.
6. The transmissibility factor is usually considered for high-frequency machines
mounted on a spring. The transmissibility factor should be less than 1.
Example 3: Design of Steel Structure Support for Machine Skid
Check the steel frame support gas generator package with the following data:
Dry weight = 12.38 tons
Wet weight = 13.02 tons
Skid dimension = 5842 × 1067 mm
Machine has 900 rpm
Beam section = W10 × 22 with steel ASTM A36 with F
y = 240 N/mm2
160 in. = 4064
49 in. = 1245
111 in. = 2819 mm
21 in. = 533 mm 21 in. = 533 mm
28700/2
28700/2
1070 lb/ft = 1.6146 Construction Management and Design of Industrial Concrete and Steel Structures
Maximum beam design moment = 4.07 mt
Maximum beam stress = 4.07/3.8 × 10−4 = 10,705.5 t/m2 = 105 N/mm2
Allowable beam stress = 0.66 × 240 = 158 N/mm2
Unity check ratio, UC = 105/158 = 0.66 < 1.0 OK
A local check has been performed to ensure that no resonance will occur when
sitting the new gas generator package down over the deck.
∆ = Pa b
EIL
2 2
3
Beam stiffness:
( )
/ ( )
K P = = EIL a b
= ⋅ ⋅ ⋅ ⋅
/∆ 3
3 29 106 118 160 111
2 2
22 2 49
55 525
( )
= , lb/in.
T M
n = = 2 0 π K .103s
Mass (M) = W/g = 13.02 kN s2/m
f
n = 1/Tn = 4.35 Hz
ω
n = 2πfn = 27.32 rad/s = 1640 rpm
The new generator frequency (ω) = 900 rpm
The frequencies ratio is:
ω/ω
n = 900/1640 = 0.55 < 0.8 OK
4.4 Vibration Isolation
Vibrating, rotating, reciprocating, and impacting equipment create machineinduced vibration and shock, which are transmitted to their support systems.
Rotating machines and equipment that are not properly balanced produce
centrifugal forces that create steady-state and random vibration.
Machines generating pulses or impacts, such as forging presses, injection
molding, impact testers, hammers, centrifugal pumps, and compressors are the
predominant sources of vibration and shock. The inertia block or pad of isolation is an important factor in isolating engine vibration from the surroundingDesign of Foundations for Vibrating Equipment 147
structure. However, the proper design of the foundation is not enough. There
are several additional techniques that can be used to isolate the vibration.
4.4.1 Isolating Liners
A liner can be fabricated and used to line the pit into which the concrete
inertia block is poured, as shown in Figure 4.7. A number of suitable liners
are available commercially.
It is important to consult the liner manufacturer for specific information.
The principle for all liners is the same: Line the bottom and sides of the pit
and pour the concrete inertia block inside the isolator lining. The engine or
common mounting skid will still vibrate, but the vibration is dampened and
largely confined within the liner.
Be sure to construct the liner so that no liquid concrete can flow into the
gaps between the liner slabs. If concrete seeps between the inertia block and
the pit, the vibration absorption value of the liner will be greatly reduced.
Other materials such as sand or gravel may be used as isolating mediums.
One foot of well-tamped, settled gravel under the inertia block will be satisfactory. Do not bridge the gap between the inertia block and the surrounding floor with concrete or similar solid material. If, for reasons of neatness
or appearance, it is necessary to close this gap, use an expansion joint or a
similarly resilient material.
4.4.2 Spring and Rubber Mounts
Based on Fabreeca (2009), spring and rubber mounts of various sizes and resiliencies are available for installation purposes. These mounts can be positioned
FIGURE 4.7
Liner isolation before concrete pouring.148 Construction Management and Design of Industrial Concrete and Steel Structures
between the common skid and the inertia block or pad or between the inertia
block and bottom of the pit. As with the isolating liners, we recommend contacting the manufacturer of the mounts for specific instructions.
Isolation systems have natural frequencies as low as 6.0 Hz and can be
designed to exhibit low or high internal damping. These solutions are used
under large concrete foundations supporting heavy machinery, buildings,
measuring machines, roller mills, and similar equipment. Isolators are available in two types to suit a wide range of design options when considering the
formwork required to provide proper support during the foundation construction process. Figure 4.8 presents a type of isolation made of a molded
elastomer, which has been compounded and designed to offer low-frequency
isolation and high load capacity.
For units installed in basements or ground floors (no other floors beneath),
neoprene waffle-type pads, which provide 50% vibration reduction, or the
sandwich-type pad of rubber and cork, which provides 75% vibration reduction, can be used.
Where engine-generator sets are to be installed above the ground floor,
the more critical type of isolators should be used. For units up to 200 kW, the
type of isolator made of rubber bonded to metal can be used and will provide
about 90% isolation. Larger units should use spring-type vibration isolators
that provide about 95% isolation. All percentages are approximate and exact
information for your particular application should be discussed with the
machine manufacturer to ensure that the right type of isolator is selected.
4.4.3 Inertia Block Bolt or Pad Mounting Bolt Installation
The inertia block or pad mounting bolts should be of SAE grade 5 bolt
materials.
FIGURE 4.8
Isolations from mold elastomer under foundation.Design of Foundations for Vibrating Equipment 149
The bolt diameter will be determined by the hole diameter in the engine
mounting base or common skid frame. The bolts should be long enough to
provide a minimum embedded length of 30 times the bolt diameter, plus
3–4 in. (76–102 mm) for a hook. (The bolt should have a “J” or “L” shaped
hook on the nonthreaded end to increase its holding power.) Approximately
7 in. (178 mm) more are needed to protrude above the top surface of the inertia block or pad. These 7 in. (178 mm) will provide the length needed for:
•	 The grout (if used), 2 in. (51 mm)
•	 Sole plate (if used), 3/4 in. (19 mm)
•	 Chock, 1/2 in. (13 mm)
•	 Shims and engine base, 1-3/4 in. (44.5 mm)
•	 Washer, nut, and small variations in levelness, 7/8 in. (22 mm)
For a common skid-mounted engine, only 5-1/2 in. (140 mm) of bolt should
protrude above the inertia block or pad surface.
Bolt placement in the inertia block or pad can be determined by making a
template from 1 × 6 in. (25 × 1 52 mm) boards. Suspend the template over the
inertia block or pad and hang bolts and sleeves through the template holes.
The bolt must extend 7 in. (178 mm) from the top surface of the inertia block
or pad. A sleeve of convoluted plastic tubing 2–3 in. (51–76 mm) in diameter should be placed around the bolts before they are embedded in the concrete. This will allow the bolts to bend and conform to the dimensions of the
sole plate (if used) if the template was not exact. The sleeve may be 10–12 in.
(254– 305 mm) long. The top end of the sleeve should be slightly above the
top level of the inertia block or pad so that the concrete will not spill into the
sleeve and interfere with bolt adjustments.
4.4.4 Grouting
Grouting can be done only after the installation of the inertia block or pad has
fully cured and the sole plates have been positioned and leveled (see Figure
1.12). On sole-plate installations, grouting is important because it anchors the
sole plates in place. Since the sole plates support the engine, it is important
that the grout be installed properly to hold the plates level.
Engines and common skids can be mounted directly to the grout without the use of sole plates. When this is done, the engine must be mounted
and leveled before the grout is poured, then Shim and level the engine, as
described in Chapter 2. Pour the grout under the engine base or common
skid. After all grout has cured, back out the jacking screws and fill with
grout. The grouting procedure is very important and requires good supervision and a competent applicator.
The first step is to make a form around the inertia block or pad. If possible,
pour the grout from one point on the inertia block or pad only and allow150 Construction Management and Design of Industrial Concrete and Steel Structures
the grout to flow under the common skid or engine base rails. This pouring
procedure will help lessen the chances of air pockets being trapped between
the engine and the inertia block or pad. Air pockets will lessen the contact
area between the grouting and the engine base or common skid, reducing
support for the engine. Also, a metallic-based grout will expand into these
spaces and force the engine out of alignment. If the pour point on the engine
or common skid is slightly higher than the rest of the inertia block or pad, the
grout will flow more easily under the engine or common skid.
The best way to install a concrete, metallic-based grout is to form wedgeshaped grout pads. These pads should run the length of the engine or common skid. Slope the grout outward in a wedge shape toward the inertia block
or pad to provide better support. Sole plates can be embedded in this run of
grout, or the engine base can be installed directly on it.
The advantage of this grouting technique is that it will keep grout out from
under the engine. The grout will not be able to expand up into the hollow
area under the engine base and force the engine out of alignment.
Grouting should be worked into place using rods or chain lengths. Work
the material gently to avoid air entrapment. When using sole plates, pour
TABLE 4.8
Checklist for Machine Foundation Design
Item Design Condition Procedure
1. Static-bearing capacity Fifty percent of the allowable soil
pressure
2. Settlement The eccentricity of the machine center of
gravity and the foundation center of
gravity is within 5% of any linear
dimension
3. Static plus dynamic loads Seventy-five percent of the allowable soil
pressure
4. Settlement of static plus dynamic
load
Satisfy item 2 and, in the case of a rocking
motion, the axis of rocking should
coincide with the principal axis of the
footing
5. Magnification factor (applied for
machines generating unbalanced
forces)
Calculated values of M should be less
than 1.5 at resonance frequency
6. Resonance The acting frequencies of the machine
should not be within ±20% of the
resonance frequency
7. Transmissibility factor Transmissibility factor should be less
than 3%
8. Resonance of individual structure
component
The resonance condition with the lowest
natural frequency shall be avoided by
maintaining the frequency ratio <0.5
and >1.5Design of Foundations for Vibrating Equipment 151
enough grout to embed the plates 1/2 in. (13 mm) into the grout. When sole
plates are not used, never allow the grout to come up over the engine base or
common skid to allow for future adjustments.
Follow the grout manufacturer’s instructions for applying the grout and
their recommendations for curing times. Concrete grouts must be sealed
after curing. All metallic-based grouts should be sealed to prevent rust from
destroying the grout. If the grout is allowed to settle at a slight outward
slope, oil and water will be able to run off the inertia block or pad.
After the grout has cured, remove the leveling screws and remove any
accumulation from the common skid or engine base. Save enough grout to
pour into the inertia block bolt sleeves after the engine has been aligned.
Many epoxy grouts are also available that provide superior performance for
these applications.
4.5 Design Checklist
This checklist is very important to follow if you review the calculation for
the foundation design for vibrating equipment or if you perform the design
by yourself. It will be the final step of the checking process (see Table 4.8).
References
API Standard 617 (R2009). 2009. Axial and Centrifugal Compressors and ExpanderCompressors for Petroleum, Chemical, and Gas Industry Services, 7th Ed., Section
2.18.4, API, Washington, D.C.
Arya, S. C., M. W. O’Neil, and G. Pincus. 1984. Design of Structures and Foundations for
Vibrating Machines. Houston, TX: Gulf Publishing Company.
Barkan, D. D. 1962. Dynamics of Bases and Foundations. Tschebotarioff (translator) McGrawhill.
Baxter, R. L., and D. L. Bernhard. 1967. Vibration Tolerances for Industry. ASME Paper
67-PEM-14. Plant Engineering and Maintenance Conference, Detroit, MI, April
1967.
Dresser Waukesha. Installation of Waukesha Engines and Generator Systems Manual.
Waukesha, WI: Dresser Waukesha, 2004.
FABREEKA. 2009. Vibration and Shock Control Manual. Boston: FABREEKA
International.
Major, A. Vibration Analysis and Design of Foundations. Budapest: Akademiai Kiado,
1962. Budapest: Akademiai Kiado, 1982.
Richard Jr., F. E., J. R. Hall Jr., and R. D. Woods. 1970. Vibrations of Soils and Foundations,
Englewood Cliffs, New Jersey: Prentice-Hall Inc. 414 pp.153
5
Storage Tank Design
5.1 Introduction
Tanks are well-known structures in industrial projects. There are different
types of storage tanks used for different purposes in industrial projects.
The dimensions of the tank and its material depend on the fluid that will be
stored in it. Tanks for oil storage usually have a steel structure for their shell
and reinforced concrete ring beams that transfer the load to the soil. Some
applications use a reinforced concrete tank for storage of salt water, which
will be treated and used in the water flood system traditionally used in some
process plants.
The process of treating the oil can be performed using reinforced concrete
weir tanks to separate oil and water in the treatment process. Liquified natural gas (LNG) projects use prestress tanks with steel shells inside to cool the
gas to liquid form for transportation and export. In this chapter, the types
of retaining walls and their design methodology will be presented, as will
the main features of design and construction of reinforced concrete and steel
storage tanks.
5.2 Concrete Storage Tanks
There are two classifications of tanks based on their load effects: elevated
tanks under hydrostatic pressure and underground tanks that will be
affected by both hydrostatic loads and earth loads. This section will discuss
the categories used for the classification of tank shapes (Figure 5.1).154 Construction Management and Design of Industrial Concrete and Steel Structures
Tanks
Rectangular Circular
deep medium shallow deep medium shallow
H/L ≥ 2 L/H ≤ 2 H/R2 ≥ 0.4 H/R2 ≤ 0.02
FIGURE 5.1
Types of reinforced concrete tanks.
(a) A cantilever wall (up to 3 m)
(b) This type of wall is simply supported at the top and fixed at the bottom, H ≥ 3 m
(c) A wall fixed at the top and bottom
BMD Load on the wall
BMD Wall load
BMD Load on the wall
FIGURE 5.2
(a) Cantilever wall. (b) Wall with fixed support at bottom and simple support at top. (c) Different
types of tank joints.Storage Tank Design 155
5.2.1 Rectangular Wall—Concrete
Rectangular tanks are usually used for special applications in industrial
projects. The walls of rectangular tanks have a different static system. Types
of rectangular walls for tanks are:
1. Cantilever wall (height of up to 3 m) (Figure 5.2a)
2. Wall with fixed support at bottom and simple support at top (height
greater than or equal to 3 m) (Figure 5.2b)
3. Wall with fixed support at top and bottom
Example: Pump Room
This is a pump room embedded in the earth with a volume of 5 × 5 × 5 m and a
control room above ground with dimensions of 5 × 5 × 3 m, as shown in Figure
5.3.
Soil Parameters
Soil density, γs = 1.8 ton/m3
Water density, γw = 1.0 ton/m3
Ka
= 0.333
Φ = 30°
The earth pressure diagram will be as follows:
r = 5/5 = 1.0 α = β = 0.5 according to Grashoff tables (see Table 5.1)
e1 = γsh1Ka = 1.8 × 3.75 × 0.3 = 2.25 ton/m2 (see Figure 5.4)
e
2 = (γs − γw)h2ka = (1.8 – 1) × 1.25 × 0.3 = 0.33 ton/m2, underground
water level (GWT)
e
3 = γwh2 = 1 × 1.25 = 1.25 ton/m2
e
4 = αe1 = 0.5 × 2.25 = 1.125 ton/m2
e
4/e5 = 3/4
e
5 = 1.5 ton/m2
e
6 = (2.25 + 0.33 + 1.25) − 1.5 = 2.33 ton/m2
e
7 = βe1 = 0.5 × 2.25 = 1.125 ton/m2
Loads on the Roof
Assume that the thickness of the roof and the pump room are 100 and 120 mm,
respectively.
Weight of slab on roof = 250 kg/m s 2 elf-weight
150 pl kg/m2 astering
200 kg/m2 live load
Total kg/m 600 2156 Construction Management and Design of Industrial Concrete and Steel Structures
Weight on pump room slab kg/ = 300 m s 2 elf-weight
150 kg/m p 2 lastering
200 kg/m2 live load
Total 650 kg/m2
Total load from slab = (600 + 650) × 5 × 5 = 31,250 kg = 31.25 tons
Weight of brick walls = (4 × 3 × 5 × 0.25) × 1.7 = 25.5 tons
Weight of reinforced concrete (RC) walls = (4 × 5 × 5 × 0.2) × 2.5 = 50 tons
Total load = 106.75 tons
Load on floor/m2 = 106.75/25 = 4.27 ton/m2
r = 55 = 1.0 α = β = 0.5
3.0 m 5.0 m
5.0 m
h
2 = 1.25
GWT
h1= 3.75 m
FIGURE 5.3
Sketch for pump room.
TABLE 5.1
Grashoff Values for the Distributed Load in Both Directions, α, β
r 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0
α 0.5 0.595 0.672 0.742 0.797 0.834 0.867 0.893 0.914 0.928 0.914
β 0.5 0.405 0.328 0.258 0.203 0.166 0.107 0.107 0.086 0.072 0.059
Note: r, is the ratio between the slab or wall dimensions, length, and width.Storage Tank Design 157
Load in each direction = 0.5 × 4.27 = 2.135 ton/m2
Straining Action
The first step in design is to calculate the straining action in vertical and horizontal direction. Figure 5.5 presents a longitudinal section with a load and bending
moment diagram.
In a horizontal direction, consider a 1.0-m strip at h/4 from the room floor. The
structure analysis can provide us with the bending moment diagram as shown in
Figures 5.5 and 5.6.
Design of Sections
Assume a thickness of the floor (tf) equal to the wall thickness (tw) and equal to 200
mm for the bottom corner and, due to a maximum moment, haunches of 350 mm
with a 3:1 slope. Sections 2, 3, and 6 will be designed as watertight because the
tension zones are adjacent to water (Figure 5.7).
e1 e2 e3
e4
e5 e6
e7
FIGURE 5.4
Distributed load on walls.
RA = 0.57 t/m’
R
B = 4.63 ton/m’
Mf = 3.10 mt/m’
2.135 ton/m2 M
B = 4 mt/m’
FIGURE 5.5
Longitudinal section showing bending moment and loads.158 Construction Management and Design of Industrial Concrete and Steel Structures
5.2.2 Circular Tank
Based on Hilal (1988), the American Portland Cement Association has published the following series of tables, giving the ring tension and cantilever
moments in rectangular walls of cylindrical tanks that are free at top and
fixed or hinged at bottom for different cases of loading. The tables include
very useful data for the design of circular tanks.
1.125 ton/m2
M
c = 2.35 mt/m’
Mm
= 1.18 mt/m’
FIGURE 5.6
Shape of bending moment and load in cross section.
A
FIGURE 5.7
Reinforcement detail for the basement of a pump room.Storage Tank Design 159
Tables 5.2 and 5.3 present the tension force and bending moments, respectively, of the wall for a tank fixed at bottom, and free at top, where T = χ ×
WH × (D/2). A positive sign indicates tension.
H
WH
where
H = Tank height
D = Tank diameter
T = Wall thickness
To calculate moment at the fixed end:
M = μWH3
TABLE 5.2
Coefficient, χ, Tension in Circular Rings with Triangular Load and
Fixed Base and Free Top
H2/Dt 0.0H 0.1H 0.2H 0.3H 0.4H 0.5H 0.6H 0.7H 0.8H 0.9H
0.4 +0.149 +0.134 +0.120 +0.101 +0.082 +0.066 +0.049 +0.029 +0.014 +0.004
0.8 +0.263 0.239 0.215 +0.190 0.160 +0.130 +0.096 +0.063 +0.034 +0.010
1.2 +0.283 +0.271 +0.254 +0.234 +0.209 +0.180 +0.142 +0.099 +0.054 +0.016
1.6 +0.265 +0.268 +0.268 +0.266 +0.250 +0.226 +0.185 +0.134 +0.075 +0.023
2.0 +0.234 +0.251 +0.273 +0.285 +0.285 +0.274 0.232 0.172 +0.104 +0.031
3.0 +0.134 +0.203 +0.267 +0.322 +0.357 +0.362 +0.330 +0.262 0.157 +0.052
4.0 +0.067 +0.164 +0.256 +0.339 +0.403 +0.429 +0.409 +0.334 +0.210 +0.073
5.0 +0.025 +0.137 +0.245 +0.346 +0.428 +0.477 +0.469 +0.398 +0.259 +0.092
6.0 +0.018 +0.119 +0.234 +0.344 +0.441 +0.504 +0.514 +0.447 +0.301 +0.112
8.0 –0.011 +0.104 +0.218 +0.335 +0.443 +0.534 +0.575 +0.530 +0.381 +0.151
10.0 –0.011 +0.098 +0.208 +0.323 +0.437 +0.542 +0.608 +0.589 +0.440 +0.179
12.0 –0.005 +0.097 +0.202 +0.312 +0.429 +0.543 +0.628 +0.633 +0.494 +0.211
14.0 –0.002 +0.098 +0.200 +0.306 +0.420 +0.539 +0.639 +0.666 +0.541 +0.241
16.0 0.000 +0.099 +0.199 +0.304 +0.412 +0.531 +0.641 +0.687 +0.582 +0.265160 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 5.3
Coefficient, μ, Moment in Cylindrical Wall with Triangular Load, Fixed Base, and Free Top
H2/Dt 0.1H 0.2H 0.3H 0.4H 0.5H 0.6H 0.7H 0.8H 0.9H 1.0H
0.4 +0.0005 +0.0014 +0.0021 +0.0007 –0.0042 –0.0150 –0.0302 –0.0529 –0.0816 –0.1205
0.8 +0.0011 +0.0037 +0.0063 +0.0080 +0.0070 +0.0023 –0.0068 –0.0224 –0.0465 –0.0795
1.2 +0.0012 +0.0042 +0.0077 +0.0103 +0.0112 +0.0090 +0.0022 –0.0108 –0.0311 –0.0602
1.6 +0.0011 +0.0041 +0.0075 +0.0107 +0.0121 +0.0111 +0.0058 –0.0051 –0.0232 –0.0505
2.0 +0.0010 +0.0035 +0.0068 +0.0099 +0.0120 +0.0115 +0.0075 –0.0021 –0.0185 –0.0436
3.0 +0.0006 +0.0024 +0.0047 +0.0071 +0.0090 +0.0097 +0.0077 +0.0012 –0.0189 –0.0333
4.0 +0.0003 +0.0015 +0.0028 +0.0047 +0.0066 +0.0077 +0.0069 +0.0023 –0.0080 –0.0268
5.0 +0.0002 +0.0008 +0.0016 +0.0029 +0.0046 +0.0059 +0.0059 +0.0028 –0.0058 –0.0222
6.0 +0.0001 +0.0003 +0.0008 +0.0019 +0.0032 +0.0046 +0.0051 +0.0029 –0.0041 –0.0187
8.0 0.0000 +0.0001 +0.0002 +0.0008 +0.0016 +0.0028 +0.0038 +0.0029 –0.0022 –0.0146
10.0 0.0000 0.0000 +0.0001 +0.0004 +0.0007 +0.0019 +0.0029 +0.0028 –0.0012 –0.0122
12.0 0.0000 –0.0001 +0.0001 +0.0002 +0.0003 +0.0013 +0.0023 +0.0026 –0.0005 –0.0104
14.0 0.0000 0.0000 0.0000 0.0000 +0.0001 +0.0008 +0.0019 +0.0023 –0.0001 –0.0090
16.0 0.0000 0.0000 –0.0001 –0.0002 +0.0001 +0.0004 +0.0013 +0.0019 +0.0001 –0.0079Storage Tank Design 161
5.3 Retaining Wall
A retaining wall is used to confine water or soil. In industrial projects, it
is usually used around the tanks to confine any oil seepage in case of tank
failure or leak.
The following are types of retaining walls:
1. Gravity retaining walls
2. Cantilever walls
3. Counterfort walls
4. Buttress walls
5. Bridge abutments
6. Basement walls
7. Semigravity walls
8. Walls with relieving slabs
9. Precast and prestressed walls
In processing plants, it is traditional to use cantilever walls. The forces
affecting the retaining walls after the definition of the preliminary dimensions of the walls are as follows:
1. Wall height
2. Dead and live loads on the wall
3. Lateral pressure affecting the wall caused by the weight of soil
behind the wall
4. Lateral pressure caused by live loads or moving loads on the soil
behind the wall
H
B = 0.4 – 0.7H
B/3 H/10 or H/12
FIGURE 5.8
Preliminary dimensions of a retaining wall.162 Construction Management and Design of Industrial Concrete and Steel Structures
5. Wave effect in cases of walls adjacent to the sea
6. Earthquake loads
7. Lateral pressure of oil or water in cases of bundle walls
8. Any other load that affects the structure during execution or operation phase
5.3.1 Preliminary Retaining Wall Dimensions
After defining the preliminary dimensions as shown in Figure 5.8, the design
of the retaining wall will begin by checking the stability of the retaining wall
against the following three criteria:
1. Stability against overturning
2. Stability against sliding
3. Stability against bearing capacity
After checking the stability of the retaining wall, calculate the stress on the
wall in order to design the reinforced concrete section of the wall. If unsafe,
try another size and check the stability again until the dimensions of the
reinforced concrete design sections become compatible with the stability.
5.3.1.1 Check Stability against Overturning
Checking of the stability of the retaining wall against overturning will be
done by applying Equation (5.1). The sum of moments attributable to forces
tending to resist overturning should be higher than the sum of the moments
attributable to forces tending to overturn the walls.
Pa
C
Pp
1
2
3 4
FIGURE 5.9
Forces tending to overturn and resisting overturning the retaining wall, preliminary dimensions.Storage Tank Design 163
F
M M
S
R O
=
∑∑
(5.1)
where
MR = Sum of the moments attributable to forces tending to resist overturning the wall at point C, as shown in Figure 5.9
MO = Sum of the moments attributable to forces tending to overturn the
wall at point C, as shown in Figure 5.9
F
S = Factor of safety, which is about 1.5–2
Figure 5.9 presents the moments affecting the wall’s tendency to overturn
and resistance to overturning.
P
a = KaγH (5.2)
where
Pa
= Active force
K
a = 0.3
∑M P O a = ( / H )3 (5.3)
where MR can be calculated based on the data shown in Table 5.4.
Calculate FS. If it is within 1.5–2.0, it is acceptable. If it is less, change the
retaining wall dimensions to achieve the required overturning stability factor of safety.
TABLE 5.4
Resisting Overturning Moment
Section Area Weight
Moment Arm
Measure from C Moment about C
1 A
1 W1 = A1 × γs X1 M1
2 A
2 W2 = A2 × γc X2 M2
3 A3 W3 = A3 × γc X3 M3
4 A
4 W4 = A4 × γc X4 M4
ΣV ΣMR
Notes: Where
γc = Concrete density
γs = Soil density164 Construction Management and Design of Industrial Concrete and Steel Structures
5.3.1.2 Check Stability against Sliding
F
F F
S
R d
=
∑∑
(5.4)
where
∑FR = Sum of forces that resist sliding
∑Fd = Sum of horizontal forces driving the wall to slide
∑Fd = Pa
F V P
V k k C
∑ ∑ R P
∑
= +
= +
tan
tan( )
φ
φ
2
1 2 2 2
(5.5)
where k1 = k2 = 2∕3.
P
P is the passive force, but from a practical point of view it should not be
seen to increase the factor of safety. During construction, filling in front of
the wall is usually the last stage. If the safety factor is below the limit, you
can increase the stability against sliding by using a key lock, as shown in
Figure 5.10.
5.3.1.3 Check Stability against Bearing Capacity
The soil-bearing capacity is obtained from the soil report. The retaining wall
should be checked to ensure that the load transferred from the wall to the
soil is less than the soil-bearing capacity.
P
a
C
P
p
1
2
3 4
Pp
FIGURE 5.10
Forces that drive and resist sliding.Storage Tank Design 165
P
a
C
∑V
FIGURE 5.11
Checking stress against bearing capacity.
P
a
C
∑V
M1
M3 M2
FIGURE 5.12
Checking stress against bearing capacity.166 Construction Management and Design of Industrial Concrete and Steel Structures
F q
q
S
u
=
max
(5.6)
where
qall = Maximum allowable bearing capacity
qmax = Maximum load applied to the soil
F
S = Factor of safety, between 2.5 and 3
FIGURE 5.13
Retaining wall steel details.
R = 3d
12d
FIGURE 5.14
Steel bending details.Storage Tank Design 167
M M M
X M V
n R O
n
= −
=
∑ ∑
∑
(5.7)
e = B/2 – X
q
V
B
e B
min = −


∑
1 6 (5.8)
q
V
B
e B
max = +


∑
1 6 (5.9)
The second step is to begin the design of the concrete sections. In Figures 5.11
and 5.12, the main forces that affect each element are presented.
M1 = M2 + M3 (5.10)
The shape of the steel reinforcement is shown in detail in Figure 5.13. The
steel bending for the steel bars embedded in the foundation and extended
into the stem is presented in detail in Figure 5.14.
5.4 Steel Storage Tank
Petrochemical plants usually use steel storage tanks. Figure 5.15 presents a
storage tank in an oil plant and Figure 5.16 presents condensate storage tanks
with a concrete dike around them in a gas plant.
The design, construction, and manufacture of steel storage tanks is usually performed based on American Petroleum Institute codes. The following
sections present the guidelines for best practices in interaction with international codes for the design of steel tanks.
5.4.1 Tank Capacity
The client should specify the maximum capacity and the overfill protection
level or volume requirement based on API RP 2350. Maximum capacity is
defined as the volume of product in a tank when the tank is filled to its168 Construction Management and Design of Industrial Concrete and Steel Structures
designed liquid level, as shown in Figure 5.17. The volume of available product under normal operating conditions should also be defined. From the
designed level, a normal level can be defined in empty, operating, and test
levels, as the load depends on the liquid level.
5.4.2 Bottom Plates
All bottom plates shall have a minimum nominal thickness of 6 mm (1/4 in.)
and its weight shall be about 49.8 kg/m2. You should add any corrosion allowance specified by the owner for the bottom plates based on his statement of
FIGURE 5.16
Condensate tanks inside a dike from retaining the wall.
FIGURE 5.15
Oil storage tank.Storage Tank Design 169
requirement (SOR). Unless otherwise agreed to by the owner, all rectangular
sketch plates shall have a minimum nominal width of 1800 mm (72 in.).
Bottom plates of sufficient size shall be ordered so that, when trimmed, at
least a 50-mm (2-in.) width will project outside the shell. The bottom plates
shall be welded based on the welding procedure.
According to API STD 650, the tank bottoms shall have a minimum slope
of 1:120 upward and toward the center of the tank. Unless otherwise specified on the data sheet, the material shall be carbon steel with a minimum
thickness of 3 mm (1/8 in.).
5.4.3 Annular Bottom Plates
Based on the API STD 650, if the bottom shell course is designed using the
allowable stress for materials shown in Table 5.8, butt-welded annular bottom
Over fill protection level requirement
Min. fill level
Design liquid level
Normal fill level
Operating capacity
FIGURE 5.17
Steel storage tank levels.
TABLE 5.5
Plate Thickness for Annular Bottom, tbr
Plate Thicknessa of
Shell Course (mm)
Stress in First Shell Course (MPa)
≤190 ≤210 ≤220 ≤250
t ≤ 19 6 6 7 9
19 < t ≤ 25 6 7 10 11
25 < t ≤ 32 6 9 12 14
32 < t ≤ 38 8 11 14 17
38 < t ≤ 45 9 13 16 19
a Plate thickness refers to shell plate thickness exclusive of corrosion allowance
for product design and thickness as constructed for hydrostatic test design.170 Construction Management and Design of Industrial Concrete and Steel Structures
plates shall be used. When the stress is less than or equal to 172 MPa, lap-welded
bottom plates may be used in lieu of butt-welded annular bottom plates.
Annular bottom plates shall have a radial width that provides at least 600
mm (24 in.) between the inside of the shell and any lap-welded joints in the
remainder of the bottom. An annular plate with a greater radial width is
required when calculated as described below.
In SI units, where:
tb = Thickness of the annular plate (mm)
H = Maximum designed liquid level (m)
G = Design-specific gravity of the liquid to be stored
The thickness of the annular bottom plates shall not be less than the greater
thickness determined using Table 5.5 for product design in addition to any
specified corrosion allowance or for hydrostatic test design.
Table 5.5 is applicable for an effective product height of H × G ≤ 23 m.
Beyond this height, an elastic analysis must be made to determine the annular plate thickness.
The thicknesses specified in Table 5.6 are based on the foundation providing uniform support under the full width of the annular plate. It is worth
mentioning—and we will discuss this further later—that unless the foundation is properly compacted inside a concrete ring wall, settlement will produce additional stresses in the annular plate.
The ring of annular plates shall have a circular outside circumference but
may have a regular polygonal shape inside the tank shell, with the number
of sides equal to the number of annular plates to which these pieces shall be
welded. In lieu of annular plates, the entire bottom may be butt-welded, provided that the requirements for annular plate thickness, welding, materials,
and inspection are met for the annular requirement.
5.4.4 Shell Design
The required shell thickness should be the design shell thickness with a
greater value, including any corrosion allowance, and the hydrostatic test
TABLE 5.6
Relation between Tank Diameter and Minimum Plate Thickness
Nominal Tank Diameter, m (ft) Nominal Plate Thickness, mm (in.)
<15 (50) 5 (3/16)
15–36 (50–120) 6 (1/4)
36–60 (120–200) 8 (5/16)
>60 (200) 10 (3/8)Storage Tank Design 171
shell thickness, but in any case, the shell thickness shall not be less than the
data given in Table 5.6.
Unless otherwise specified by the owner, the nominal tank diameter shall
be the centerline diameter of the bottom shell-course plate. Nominal plate
thickness refers to the tank shell as constructed. The thickness will be specified based on erection requirements. In some cases, the client specified a
plate with minimum nominal thickness of 6 mm. If the tank diameter is less
than 15 m (50 ft), but greater than 3.2 m (10.5 ft), for the lowest shell course
only, the minimum thickness is 6 mm.
The shell plates shall have a minimum nominal width of 1800 mm (72 in.)
unless specified by another value from the owner or the available factories.
Plates that are to be butt-welded shall be properly squared. The calculated
stress for each shell course shall not be greater than the stress permitted for
the particular material used for the course. For any case, and under any circumstances, no shell course shall be thinner than the course above it.
The tank shell shall be checked against the wind speed load for stability due to buckling. If required for stability, intermediate girders, increased
shell-plate thicknesses, or both shall be used.
It is essential to isolate the radial loads on the tank shell, such as those
caused by heavy loads on platforms and elevated walkways between tanks,
and ensure that they shall be distributed by rolled structural sections, plate
ribs, or built-up members or any other structure configuration to transfer
load to ground.
5.4.4.1 Allowable Stress
The maximum allowable product design stress, Sd, shall be as shown in Table
5.8. The net plate thicknesses—the actual thicknesses minus any corrosion
allowance—shall be used in the calculation.
According to API STD 650, the design stress basis, Sd, shall be either twothirds the yield strength (2/3Fy) or two-fifths the tensile strength (2/5Ft),
whichever is less.
The maximum allowable hydrostatic test stress, St, shall be as shown in
Table 5.2. The gross plate thicknesses, including any corrosion allowance,
shall be used in the calculation. The hydrostatic test basis shall be either
three-fourths the yield strength (3/4Fy) or three-sevenths the tensile strength
(3/7Fy), whichever is less. Shell thickness less than or equal to 1/2 in. permits an alternative shell design with a fixed allowable stress of 145 MPa
(21,000 psi2) and a joint efficiency factor of 0.85 or 0.70.
5.4.4.2 Calculation of Thickness by the 1-Foot Method
The 1-ft method is required to calculate the thicknesses at design points 0.3
m (1 ft) above the bottom of each shell course. It is important to know that
this method shall not be used for tanks larger than 60 m (200 ft) in diameter.172 Construction Management and Design of Industrial Concrete and Steel Structures
The required minimum thickness of shell plates shall be the values computed by the following formulas:
t D H G
S
d C
d
= A
−
+
4 9 0 3 . ( . )
(5.11)
t D h
t S
t
=
4 9 0 3 . ( − . )
(5.12)
where
td = Design shell thickness (mm)
t
t = Hydrostatic test shell thickness (mm)
D = Nominal tank diameter (m)
H = Design liquid level (m)
h = Height from the bottom of the course under consideration to the
top of the shell, including the top angle, if any, to the bottom of any
overflow that limits the tank-filling height, to a point restricted by
an internal floating roof, or to a point controlled to allow for seismic
wave action
G = Design-specific gravity of the liquid to be stored, as defined by the
owner
CA = Corrosion allowance (in mm) as specified by the owner
Sd = Allowable stress for the design condition (MPa), as in Table 5.7
S
t = Allowable stress for the hydrostatic test condition (MPa), as in
Table 5.7
5.4.4.3 Calculation of Thickness by the Variable-Design-Point Method
Before using this method, we must note that this procedure normally provides a reduction in shell-course thicknesses and total material weight, but
more important is its potential to permit construction of larger diameter
tanks within the maximum plate thickness limitation.
This calculation is based on the study performed by Zick and McGrath
(1968) for Design of Large Diameter Cylindrical Shells. Design by the variable
design point method gives shell thicknesses at design points that result in
the calculated stresses being relatively close to the actual circumferential
shell stresses. This method may only be used when the client has not specified that the 1-ft method be used and when the following equation is verified. In SI units:
L H
≤ 1000
6
(5.13)Storage Tank Design 173
where
L = (500Dt)0.5
D = Tank diameter (m)
t = Bottom course shell thickness, excluding any corrosion allowance
(mm)
H = Maximum design liquid level (m)
The minimum plate thicknesses for both the design condition and the hydrostatic test condition shall be determined as outlined. The complete calculations shall be made for all the courses of design condition, exclusive of
any corrosion allowance, and hydrostatic test condition. The required shell
thickness for each course shall be the higher design shell thickness, plus any
corrosion allowance, and the hydrostatic test shell thickness.
To calculate the bottom course thicknesses, preliminary values tpd and tpt
for the design and hydrostatic test conditions shall first be calculated. The
TABLE 5.7
Plate Materials and Allowable Stresses
Plate Specification Grade
Minimum
Yield
Strength
(MPa)
Minimum
Tensile
Strength
(MPa)
Product
Design
Stress, Sd
(MPa)
Hydrostatic
Test Stress,
S
t (MPa)
A 283M (A 283) C 205 380 137 154
A 285M (A 285) C 205 380 137 154
A 131M (A 131) A, B, CS 235 400 157 171
A 36M (A 36) 250 400 160 171
A 131M (A 131) EH36 360 490a 196 210
A 573M (A 573) 400 220 400 147 165
A 573M (A 573) 450 240 450 160 180
A 573M (A 573) 485 290 485a 193 208
A 516M (A 516) 380 205 380 137 154
A 516M (A 516) 415 220 415 147 165
A 516M (A 516) 450 240 450 160 180
A 516M (A 516) 485 260 485 173 195
A 662M (A 662) B 275 450 180 193
A 662M (A 662) C 295 485a 194 208
A 537M (A 537) 1 345 485a 194 208
A 537M (A 537) 2 415 550a 220 236
A 633M (A 633) C, D 345 485a 194 208
A 678M (A 678) A 345 485a 220 208
A 678M (A 678) B 415 550a 194 236
A 737M (A 737) B 345 485a 194 208
A 841M (A 841) Class 1 345 485a 194 208
A 841M (A 841) Class 2 415 550a 220 236174 Construction Management and Design of Industrial Concrete and Steel Structures
bottom course thicknesses, t1d, and t1t for the design and hydrostatic test conditions shall be calculated using Equations (5.11) and (5.12), respectively.
t D
H
HG
S
HGD
S
d C
d d
1 = −  1 06 0 0696 4 9 A




. +
. . (5.14)
t D
H
H S
HD
1t 1 06 0 0696 4 9S
t t
= −




.
. . (5.15)
The design condition, td1, need not be greater than tpd, and, for the hydrostatic test condition, t1t need not be greater than tpt.
To calculate the second-course thicknesses for both the design condition
and the hydrostatic test condition, the value of the following ratio shall be
calculated for the bottom course:
R h
rt
=
1
1
( )0 5 .
(5.16)
where
h1 = Height of the bottom shell course, in mm (in.).
r = Nominal tank radius, in mm (in.).
t1 = Calculated thickness of the bottom shell course, less any thickness
added for the corrosion allowance, in mm (in.) and is used to calculate t2 (design). The calculated hydrostatic thickness of the bottom
shell course shall be used to calculate t2 (hydrostatic test).
If
2 2a
R t t
R t t
≤ =
≥ =
1 375
2 625
. 2 1
.
1375 2 625 . . ≤ < R
t t t t h
2 2 1 rt
1
1
2 1 0 5
1 25
= + − −


a 2 ( ) a .
. ( ) .
(5.17)
where
t2 = Minimum design thickness of the second shell course, excluding any
corrosion allowance, in mm (in.).
t
2a = Thickness of the second shell course, in mm (in.), as calculated for an
upper shell course, as described in Equations (5.18) and (5.19), exclusive of any corrosion allowance. Use dn to calculate the second shell
course thickness, t2, for the design case, and, for the hydrostatic test
case, applicable values of t2a and t1 shall be used.Storage Tank Design 175
The preceding formula for t2 is based on the same allowable stress being
used for the design of the bottom and second courses. For tanks where the
value of the ratio is greater than or to 2.625, the allowable stress for the second course may be lower than the allowable stress for the bottom course.
To calculate the upper course thicknesses for both the operating condition and the hydrostatic test condition, a preliminary value, tu, for the upper
course thickness shall be calculated using Equations (5.11) and (5.12), excluding any corrosion allowance, and then the distance, x, of the variable design
point from the bottom of the course shall be calculated using the lowest value
obtained from the following:
X
1 = 0.61(rtu)0.5 + 320CH
X
2 = 1000CH
X
3 = 1.22(rtu)0.5
where
t
u = Thickness of the upper course at the girth joint calculation from
Equations (5.11) and (5.12), exclusive of any corrosion allowance (in
mm)
C = [K0.5(K – 1)]/(1 + K1.5)
K = tL/tu
tL = Thickness of the lower course at the girth joint (in mm), exclusive of
any corrosion allowance
H = Design liquid level (m)
The minimum thickness, tx, for the upper shell courses shall be calculated
for both the design condition (tdx) and the hydrostatic test condition (ttx) using
the minimum value of x.
t
D H x G
S
C
dx
d
= A
−


+
4 9
1000
.
(5.18)
t
D H x
tx S
t
=
−


4 9
1000
.
(5.19)
5.4.5 Roof System
The designer will select the type of the roof system based on the tank diameter and the intended use of the tank. In some tanks, there will be a floating176 Construction Management and Design of Industrial Concrete and Steel Structures
roof, but this section will focus on the structure system for the fixed roof. The
fixed roof types are as follows:
(1) A supported cone roof is formed to approximate the surface of a
right cone that is supported principally either by rafters on girders
and columns or by rafters on trusses with or without columns.
(2) A self-supporting cone roof is formed to approximate the surface of
a right cone that is supported only at its periphery.
(3) A self-supporting dome roof is formed to approximate a spherical
surface that is supported only at its periphery.
(4) A self-supporting umbrella roof is a modified dome roof formed so
that any horizontal section is a regular polygon with as many sides
as there are roof plates. It is supported only at its periphery.
All roofs and supporting structures shall be designed for load combinations
(1), (2), (3), and (4). Roof plates shall have a minimum nominal thickness of 5
mm (3/16 in.) or a 7-gauge sheet. Thicker roof plates may be required for selfsupporting roofs. Corrosion allowance should be incorporated in the design
of roof thickness.
In general, the roof plates of supported cone roofs shall not be attached
to the supporting members unless otherwise approved by the client.
Continuously attaching the roof to cone supporting members may be beneficial when interior coating systems are required; however, the tank roof
cannot be considered frangible.
All internal and external structural members shall have a minimum
nominal thickness of 4 mm in any component. The method of providing a
corrosion allowance, if any, for the structural members shall be a matter of
agreement between the client and the contractor.
Roof plates shall be attached to the top angle of the tank with a continuous
fillet weld on the top side only.
A roof is considered frangible for an emergency venting requirement if
the roof-to-shell joint will fail before the shell-to-bottom joint in the event of
excessive internal pressures. When a client specifies a tank with a frangible
roof, the tank design should comply with all of the following:
1. The tank should be 15 m in diameter or greater.
2. The slope of the roof at the top-angle attachment does not exceed 1:6.
3. The roof is attached to the top angle with a single continuous fillet
weld that does not exceed 5 mm.
4. The roof support members shall not be attached to the roof plate.
5. All members in the region of the roof-to-shell junction, including
insulation rings, are considered as contributing to the cross-sectional
area (A).Storage Tank Design 177
6. The cross-sectional area (A) of the roof-to-shell junction is less than
the limit shown below (in SI units):
A = Dls
1390tanθ
(5.20)
For all types of roofs, the plates may be stiffened by sections welded to the
plates but may not be stiffened by sections welded to the supporting rafters
or girders. The contractor shall provide a roof designed and constructed to
be as safe as that of the standard. In the roof design, particular attention
should be given to preventing failure caused by instability.
5.4.5.1 Allowable Stresses
All parts of the roof structure shall be proportioned so that the sum of
the maximum static and dynamic stresses shall not exceed the limitations
specified in the American Institute of Steel Construction Specification for
Structural Steel Buildings or with the agreement of the client, an equivalent
structural design code recognized by the government of the country where
the tank is located. The portion of the specification Allowable Stress Design
shall be used in determining allowable unit stresses. Based on API STD 650,
a plastic design is not allowed to be used in tank design.
The minimum thickness of any structural member, including any corrosion allowance on the exposed side or sides, shall not be less than 6 mm for
columns, knee braces and beams, or stiffeners, which, by design, normally
resist axial compressive forces of 4 mm for any other structural member.
For columns, the value L/r shall not exceed 180. For other compression
members, the value L/r shall not exceed 200. For all other members, except
tie rods whose design is based on tensile force, the value L/r shall not exceed
300, where L is the unbraced length (mm) and r is the governing radius of
gyration (mm).
5.4.5.2 Supported Cone Roofs
The slope of the roof shall be 1:16, or greater if specified by the client. If the
rafters are set directly on chord girders, producing slightly varying rafter
slopes, the slope of the flattest rafter shall conform to the specified or ordered
roof slope. Main supporting members, including those supporting the rafters, may be rolled or fabricated sections or trusses.
Although these members may be in contact with the roof plates, the compression flange of a member or the top chord of a truss shall be designed
with no lateral support from the roof plates. It shall be laterally braced, if necessary, by other acceptable methods. Structural members serving as rafters178 Construction Management and Design of Industrial Concrete and Steel Structures
may be rolled or built up. Rafters shall be designed for the dead load of the
rafters and roof plates where the compression flange of the rafter has no lateral support from the roof plates and shall be laterally braced.
When considering additional dead loads or live loads, the rafters in direct
contact with the roof plates applying the loading to the rafters may be considered as receiving adequate lateral support from the friction between the
roof plates and the compression flanges of the rafters, with the following
exceptions:
1. Trusses and open-web joints used as rafters
2. Rafters with a nominal depth greater than 375 mm (15 in.)
3. Rafters with a slope greater than 1:6
Rafters shall be spaced so that in the outer ring their centers are not more
than 0.6π m (6.28 ft) apart measured along the circumference of the tank.
Spacing on inner rings shall not be greater than 1.7 m. Roof columns shall be
pipe or structural shape sections. Pipe columns shall either be sealed or have
openings on both the top and bottom of the column.
Rafter clips for the outer row of rafters shall be welded to the tank shell.
Roof support columns shall be provided at their bases with details that provide for the following:
1. Column loads shall be distributed over a bearing area based on
the specified soil-bearing capacity or foundation design. Where an
un stiffened horizontal plate is designed to distribute the load, it
shall have a minimum thickness of 12 mm (1/2 in.). Alternatively,
the column load may be distributed by an assembly of structural
beams. The plate or members shall be designed to distribute the load
without exceeding the allowable stresses.
2. At each column, a wear plate with a minimum 6-mm thickness shall
be welded to the tank bottom with a 6-mm (1/4-in.) minimum fillet
weld. A single plate of adequate thickness may be designed for the dual
functions of load distribution and corrosion and abrasion protection.
3. The design shall allow the columns to move vertically relative to the
tank bottom without restraint in the event of tank overpressure or
bottom settlement.
4. The columns shall be effectively guided at their bases to prevent lateral movement.
5. The guides shall remain effective in the event of vertical movement
of the columns, relative to the tank bottom, of up to 75 mm. The
guides shall be appropriately located so that they are not welded
directly to the tank bottom plates.Storage Tank Design 179
In cases where supporting members are attached to the roof plate, consideration shall be given to the design of the supporting members and their
attachment details when considering internal pressure.
5.4.5.3 Self-Supporting Cone Roofs
Self-supporting roofs whose roof plates are stiffened by sections welded
to the plates need not conform to the minimum thickness requirements.
However, the thickness of the roof plates should not be less than 5 mm when
designed by the contractor, subject to the approval of the engineer.
Self-supporting cone roofs should conform to the following requirements:
θ ≤ 37° (slope = 3:4)
θ ≥ 9.5° (slope = 1:6)
In SI units,
t D T
min
. sin .
= ≥
4 8 2 2
5
θ
mm
t
max = 12.5 mm, exclusive of corrosion allowance.
where
D = Nominal diameter of the tank shell (m)
T = Greater of load combinations in Section 5.4.7 for gravity loads (kPa)
θ = Angle of cone elements to the horizontal (°)
5.4.5.4 Self-Supporting Dome and Umbrella Roofs
Self-supporting dome and umbrella roofs should conform to the following
requirements:
Minimum radius = 0.8D
Maximum radius = 1.2D
tmin r T C
. .
= + ≥
2 4 2 2
A 5 mm
t
max = 12.5 mm, exclusive of corrosion allowance.
The following are certain restrictions on types of top-angle joints:180 Construction Management and Design of Industrial Concrete and Steel Structures
1. Roof plates shall, at a minimum, be welded on the top side with a continuous full-fillet weld on all seams. Butt-welds are also permitted.
2. For frangible roofs, roof plates should be attached to the top angle
of a tank with a continuous fillet weld on the top side only. For nonfrangible roofs, alternate details are permitted.
3. The top-angle sections, tension rings, and compression rings should
be joined by butt-welds having complete penetration and fusion.
4. For self-supporting roofs of the cone, dome, or umbrella type, the
edges of the roof plates may be flanged horizontally to rest flat
against the top angle to improve welding conditions.
5. Except as specified for open-top tanks, for tanks with frangible joints
for self-supporting roofs, and for tanks with the flanged roof-to-shell
detail, tank shells should be supplied with top angles of not less than
the sizes listed in Table 5.8.
5.4.6 Tank Design Loads
It is important that the tank design loads be defined by the client in his SOR.
For example, in some countries, there is snow or earthquakes, while other
countries do not experience these conditions.
Loads are defined as follows:
1. Dead load (DL)—the weight of the tank or tank component, including
any corrosion allowance unless otherwise noted.
2. Design external pressure (Pe)—should not be less than 0.25 kPa (1 in. of
water). This standard does not contain provisions for external pressures exceeding 0.25 kPa (1 in. of water). Design requirements for vacuums exceeding this value and to resist flotation and external fluid
pressure should be agreed on by the client and the manufacturer.
3. Design internal pressure (Pi)—shall not exceed 18 kPa (2.5 lbf/in.2).
TABLE 5.8
Tank Diameter and Top-Angle Size
Tank Diameter, D Minimum Top Angle Sizea (mm)
≤11 m (≤35 ft) 51 × 51 × 4.8
11 m < D ≤ 18 m (35 ft < D ≤ 60 ft) 51 × 51 × 6.4
>18 m (>60 ft) 76 × 76 × 76
a You can choose an equivalent section size to accommodate the availability
of local materials.Storage Tank Design 181
4. Hydrostatic test (Ht)—the load caused by filling the tank with water to
the design liquid level.
5. Minimum roof live load (Lr)—1.0 kPa (20 lb/ft2) on the horizontal projected area of the roof.
6. Seismic load (E)—seismic loads are determined based on the seismic
zone of the tank location.
7. Snow (S)—the ground snow load should be determined from ASCE
7-02, Figure 7.1, or Table 7.1 unless a ground snow load that equals
or exceeds the value based on a 2% annual probability of being
exceeded (50-year mean recurrence interval) is specified by the client. The design snow load shall be 0.84 times the ground snow load.
The design snow load shall be reported to the client.
8. Stored liquid (F)—the load caused by filling the tank to the design
liquid level with liquid of the design-specific gravity, which should
be specified by the client.
9. Test pressure (Pt)—the pressure caused by filling the tank to the
design liquid level with water for hydrostatic test purposes.
10. Wind (W)—The design wind speed (V) should be 190 km/h (120 mph),
the 3-s gust design wind speed determined from ASCE 7-02, Figure
6.1, or the 3-s gust design wind speed specified by the client this
specified wind speed shall be for a 3-s gust based on a 2% annual
probability of being exceeded; 50-year mean recurrence interval.
The design wind pressure should be 0.86 kPa (V/190)2 ([18 lbf/ft2]
[V/120]2) on vertical projected areas of cylindrical surfaces, and 1.44
kPa (V/190)2, ([30 lbf/ft2] [V/120]2) uplift (see item (b) below) on horizontal projected areas of conical or doubly curved surfaces, where
V is the 3-s gust wind speed. The 3-s gust wind speed used shall be
reported to the client.
(a) These design wind pressures are in accordance with ASCE 7-02
for wind exposure category C. As an alternative, pressures may
be determined in accordance with ASCE 7-02 (exposure category and importance factor provided by the client) or a national
standard for the specific conditions for which the tank is being
designed.
(b) The design uplift pressure on the roof (wind plus internal pressure) need not exceed 1.6 times the design pressure.
(c) Windward and leeward horizontal wind loads on the roof will
not be included in the above pressures, as they are conservatively
equal and opposite.
(d) Fastest mile wind speed times 1.2 is approximately equal to 3-s
gust wind speed.182 Construction Management and Design of Industrial Concrete and Steel Structures
5.4.7 Load Combination
The purpose of load combination is to consider all the possibilities along the
tank lifetime.
1. Fluid and internal pressure
DL + F + P
i
2. Hydrostatic test
DL + (Ht + Pt)
3. Wind and internal pressure
DL + W + 0.4Pi
4. Wind and external pressure
DL + W + 0.4P
e
5. Gravity loads
(a) DL + (Lr or S) + 0.4Pe
(b) DL + Pe + 0.4(Lr or S)
6. Seismic
DL + F + E + 0.1S + 0.4Pi
If the ratio of operating pressure to design pressure exceeds 0.4, the client
should consider specifying a higher factor on design pressure in (3), (4), (5a),
and (6).
5.4.8 Design Basis for Small Tanks
The definition of a small tank is a tank in which the stressed components have
a maximum nominal thickness of 12 mm, including any corrosion allowance
specified by the client. The stressed components include the shell and reinforcing plates, the shell-reinforcing plates for flush-type cleanout fittings and flushtype shell connections, and the bottom plates that are welded to the shell.
For small tanks, API STD 650 provides Tables 5.5 and 5.6 to present the
tank volume capacity based on the height and the diameter of the tank and
the corresponding tank shell thickness, respectively.
Tables 5.9 and 5.10 are applicable only when specified by the client and are
limited to design metal temperatures above –30°C (–20°F) or above –40°C
(–40°F) when a killed, fine-grain material is used. The maximum tensile
stress before the joint efficiency factor is applied should be 145 MPa. The
stresses shall be computed on the assumption that the tank is filled with
water (specific gravity = 1.0) or with the liquid to be stored that has a higher
specific gravity than water. The tension in each ring shall be computed at 300
mm (12 in.) above the centerline of the lower horizontal joint of the course
in question. When these stresses are computed, the tank diameter shall be
taken as the nominal diameter of the bottom course.Storage Tank Design 183
TABLE 5.9
Typical Sizes and Corresponding Nominal Capacities (m3) for Tanks with 1800-mm Courses
Tank
Diameter
(m)
Capacity per
m of Height
(m3)
Tank Height (m)/Number of Courses in Completed Tank
3.6/2 5.4/3 7.2/4 9/5 10.8/6 12.6/7 14.4/8 16.2/9 18/10
3 7.07 25 38 51 64 76
4.5 15.9 57 86 115 143 172
6 28.3 102 153 204 254 305 356 407
7.5 44.2 159 239 318 398 477 557 636 716 795
9 63.6 229 344 458 573 687 802 916 1,031 1,145
10.5 86.6 312 468 623 779 935 1,091 1,247 1,403 1,559
12 113 407 611 814 1,018 1,221 1,425 1,629 1,832 2,036
13.5 143 515 773 1031 1,288 1,546 1,804 2,061 2,319 2,576
15 177 636 954 1272 1,590 1,909 2,227 2,545 2,863 3,818
18 254 916 1,374 11,832 2,290 2,748 3,206 3,664 4,122 4,580
21 346 1,247 1,870 2,494 3,117 3,741 4,364 4,988 5,089 D = 18
24 452 1,629 2,443 3,257 4,072 4,886 5,700 5,474 D = 20
27 573 2,061 3,092 4,122 5,153 6,184 6,690 D = 22
30 707 2,545 3,817 5,089 6,362 7,634 D = 26
36 1,018 3,664 5,497 7,329 9,161 D = 30
42 1,385 4,988 7,481 9,975 D = 36
48 1,810 6,514 9,772 11,966
54 2,290 8,245 12,367 D = 46
60 2,827 10,179 15,268
66 3,421 12,316 16,303
D = 62184 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 5.10
Typical Sizes and Corresponding Nominal Capacities (Barrels) for Tanks with 72-in. Courses
Tank
Diameter
(m)
Capacity per
Meter of Height,
Barrels (m3)
Tank Height (ft)/Number of Courses in Completed Tank
12/2 18/3 24/4 30/5 36/6 42/7 48/8 54/9 60/10
10 14.0 170 250 335 420 505
15 31.5 380 565 755 945 1,130
20 560 670 1,010 1,340 1,680 2,010 2,350 2,690
25 87.4 1,050 1,570 2,100 2,620 3,150 3,670 4,200 4,720 5,250
30 126 1,510 2,270 3,020 3,780 4,530 5,290 6,040 6,800 7,550
35 171 2,060 3,080 4,110 5,140 6,170 7,200 8,230 9,250 10,280
40 224 2,690 4,030 5,370 6,710 8,060 9,400 10,740 12,100 13,430
45 283 3,400 5,100 6,800 8,500 10,200 11,900 13,600 15,300 17,000
50 350 4,200 6,300 8,400 10,500 12,600 14,700 16,800 18,900 21,000
60 504 6,040 9,060 12,100 15,110 18,130 21,150 24,190 37,220 28,260
70 685 8,230 12,340 16,450 20,580 24,700 28,800 32,930 30,970 D = 58
80 895 10,740 16,120 21,500 26,880 32,260 37,600 35,810 D = 64
90 1,133 13,600 20,400 27,220 43,030 40,820 40,510 D = 73
100 1,399 16,800 25,200 33,600 42,000 48,400 D = 83
120 2,014 42,190 36,290 48,380 58,480 D = 98
140 2,742 32,930 49,350 65,860 D = 118
160 3,581 43,000 64,510 74,600
180 4,532 54,430 81,650 D = 149
200 5,595 67,200 100,800
220 6,770 81,310 102,830
D = 202,335Storage Tank Design 185
The joint efficiency factor should be 0.85 with the spot radiography. By
agreement between the client and the contractor, the spot radiography may
be omitted and a joint efficiency factor of 0.70 shall be used.
5.4.9 Piping Flexibility
Piping systems connected to tanks should consider the potential movement of
the connection points during earthquakes and provide sufficient flexibility to
avoid release of the product by failure of the piping system. The piping system
and supports should be designed so as not to impart significant mechanical
loading on the attachment to the tank shell. Local loads at piping connections
should be considered when designing the tank shell. Mechanical devices that
add flexibility such as bellows, expansion joints, and other flexible apparatus
may be used when they are designed for seismic loads and displacements.
Unless otherwise calculated, piping systems shall provide for the minimum
displacements in Table 5.11, at working stress levels (with a 33% increase for
seismic loads) in the piping, supports, and tank connection. For attachment
points located above the support or foundation elevation, the displacements
in Table 5.11 shall be increased, to account for drift of the tank or vessel.
The values given in Table 5.11 do not include the influence of relative
movements of the foundation and piping anchorage points due to foundation movements (such as settlement or seismic displacements). The effects of
foundation movements shall be included in the design of the piping system
design, including the determination of the mechanical loading on the tank
or vessel and consideration of the total displacement capacity of the mechanical devices intended to add flexibility.
TABLE 5.11
Design Displacement for Piping Connecting to the Tank
Condition
ASDa Design
Displacement (mm)
Mechanically anchored tanks
Upward vertical displacement relative to support or foundation 25
Downward vertical displacement relative to support or foundation 13
Range of horizontal displacement (radial and tangential) relative to
support or foundation
13
Self-anchored tanks
Upward vertical displacement relative to support or foundation
Anchorage ratio less than or equal to 0.785 25
Anchorage ratio greater than 0.785 100
Downward vertical displacement relative to support or foundation
For tanks with a ring wall/mat foundation: 13
For tanks with a berm foundation 25
Range of horizontal displacement 50
a ASD is the allowable stress design.186 Construction Management and Design of Industrial Concrete and Steel Structures
5.4.10 Differential Settlement Tank Bottom Designs
Based on the degree and type of settlement expected, as determined from
similar installations in the area or from soil surveys, there are different methods that provide increasing effectiveness but also increasing costs, shown in
the order of increasing cost (low to high):
1. Standard lap-welded bottom
2. Annular plates with lap-welded bottom
3. Butt-welded bottoms
Unless needed for large differential settlement, the butt-welded tank bottom
design is usually rejected on a cost/benefit basis. Additional design features
such as the following can provide further effectiveness:
4. Deeper levels of soil compaction
5. Crushed stone ring walls
6. Reinforced concrete ring walls
7. Slabs on ring wall foundations
1
120
A B C D E
Tank diameter, 60 m (200 ft)
Tank
bottom
Tank shell
FIGURE 5.18
Tank bottom fabrication.
TABLE 5.12
Tank Bottom Coordinates Based on EMUEA
Point
Distance from Tank
Shell, m (ft)
Height above Elevation
(0,0), m (ft)
A 3 (10) 0.22 (0.71)
B 6 (20) 0.39 (1.28)
C 9 (30) 0.53 (1.73)
D 12 (40) 0.61 (2.0)
E 30.5 (100) 0.76 (2.5)Storage Tank Design 187
Tank Size
Based on EEMUA, the bottom of the tank should be campered by elevating
its level during construction as shown in Figure 5.18 and by the values in
Table 5.12.
•	 For large tanks (15 m or more), a concrete ring beam (preferred) or a
crushed stone ring wall should be used as shown in Figure 5.19.
•	 For small tanks (6 m or less), a concrete slab foundation (preferred)
or compacted granular fill foundation should be used.
•	 For medium tanks (6–15 m), the type of foundation should be at the
discretion of the foundation design engineer.
5.5 Ring Beam Design Consideration
The load that will be used to design the tank shell will be the same as that for
the ring beam, except the static equipment expert or the manufacturer that is
designing and building the steel tank will deliver the wind load and seismic
load that will affect the ring beam (Table 5.13). The forces on the ring beam
will be as shown in Figure 5.20.
The design and specifications for construction of storage tank ring beam
foundations should be adequate for the structure’s intended use, in accordance with API STD 650.
The types of storage tank normally encountered in gas and oil plants have
cylindrical shells, essentially flat bottoms, and either cone roofs or floating
1.0 m
2%
Compacted granular fill
Min. 300 mm
100 mm
200 mm
Steel plate
Tank
bottom
Tank shell
FIGURE 5.19
Compacted granular fill foundation.188 Construction Management and Design of Industrial Concrete and Steel Structures
roofs. The height of these tanks generally does not exceed 18 m (60 ft) and the
diameter generally ranges from 3 to 110 m (10 to 360 ft).
Concrete ring walls are used to help distribute heavy shell loads such as
in large dome roof tanks where the roof is supported entirely by the shell.
Concrete ring walls are also used when the tank must be anchored for internal pressure, earthquake, or wind loads. Ring wall foundation design shall
conform to this engineering guideline and to applicable requirements of the
soil report.
TABLE 5.13
Minimum Inside Edge Distance
Tank Diameter, D (m)
Minimum Inside Edge Distance
Edge, L (mm)
≤24 100
24 < D ≤ 45 125
≥45 150
Tank shell
Wf
KW
p
Kγsh
h
Tank height,
H
Min 600 mm
P
R
b
Min. 300 mm
L
<qall
FIGURE 5.20
Loads affecting the ring beam.Storage Tank Design 189
A geotechnical investigation is required before constructing the tanks. Soil
investigation will be conducted as described in Chapter 13. The allowable
soil-bearing pressure shall be based on the results of the geotechnical investigation and consideration of permissible total and differential settlements.
Soil pressures shall be calculated under the action of vertical and lateral
loads using load combinations that result in maximum soil pressures.
Foundations shall be founded on either undisturbed soil or compacted
fill. In the case of foundations supported on compacted fill, the geotechnical
investigation shall govern the type of fill material and the degree of compaction required. In cases of sites that have firm soils, the recommended steps
for site preparation are as follows:
1. Excavate the site of all topsoil and organic material.
2. Build the ring wall at a minimum of 15 m above finished grade elevation to ensure that adequate drainage is about 150 mm.
3. Slope interior tank pad surface to match the tank bottom. A minimum of 1 in. to 10 ft is recommended, taking into account settlement and differential settlement between the tank center and the
ring beam to ensure adequate tank drainage.
4. Provide a concrete ring wall to reduce differential settlement along
the circumference of the tank shell as shown in Figures 5.21 and
5.22.
Pipe
support
Overstress on
piping or tank
nozzle Uniform
settlement
FIGURE 5.21
Uniform settlement.190 Construction Management and Design of Industrial Concrete and Steel Structures
In areas of weak compressible soils, special foundations and design procedures or soil improvement may be required to prevent failures or excessive settlement, as recommended in the project soil investigation report.
Ring beam depth below grade should be determined from allowable soilbearing pressures. For tanks utilizing interior roof supports, the tank bottom
shall be reinforced as required to distribute column loads and reduce local
settlement.
In cases where the tank diameter is less than 4.5 m, the engineer may use a
solid concrete octagon as opposed to a ring wall foundation. The ring beam
is usually concrete with characteristic compressive strength not less than 25
N/mm2 at 28 days.
In summary, the loads’ effect on the beam in two directions are as
follows:
•	 Vertical loading
Vertical loads are considered in the ring wall foundation design.
Storage tank foundations shall be designed to support the tank
weight plus the weight of stored product or water that is directly
over the ring wall.
•	 Horizontal loading
Horizontal loads are not normally considered in foundation design
for storage tanks. However, for tanks having a shell height greater
than the diameter, ht > D, the effects of high winds shall be considered and the foundations should be checked for necessary anchor
bolts.
Overstress on
piping or tank
nozzle Uniform
settlement
Tank shell out
of roundness
FIGURE 5.22
Effect of differential settlement in tank.Storage Tank Design 191
5.5.1 Wind and Earthquake Stability and Pressures
In general, wind stability is not a problem with storage tanks; however, if
h
t/D > 1, the stability should be checked. For an unanchored tank, the overturning moment from wind pressure should not exceed two-thirds of the
dead load resisting moment, excluding any tank content, and should be calculated as follows:
MOT ≤ 2/3(WD/2)
where
MOT = Overturning moment from wind pressure (mt)
W = Shell weight available to resist uplift, in tons, less any corrosion
allowance, plus dead weight of any portion of roof supported by
the shell
D = Tank diameter (m)
For empty, small, high tanks, the resistance to sliding and overturning under
the force of wind should be checked. If MOT > 2/3 (WD/2), anchor bolts are
required.
If anchors are required, the design tension load per anchor shall be calculated as follows:
tB = (4MOT)/dN – W/N
where
tB = Design tension load per anchor (tons)
d = Diameter of anchor circle (m)
N = Number of anchors
Noting that, the anchors should be spaced at a maximum of 3 m (10 ft) apart.
5.5.2 Earthquake Stability
The seismic overturning moment of the tank and shear forces shall be provided by the tank’s vendor. The minimum safety factor against overturning
and sliding should be 1.5. For seismic forces computations, refer to ASCE
7-02 and API STD 650.
5.5.3 Soil Bearing
In selecting the proper type of foundation, the bearing capacity of the soil is
the primary factor. A thorough knowledge of soil properties is necessary to
avoid excessive differential settlement and possible failure.192 Construction Management and Design of Industrial Concrete and Steel Structures
Foundations on sandy soil shall be checked using the weight of water for
the tank hydrostatic test since settlement under this condition occurs very
rapidly and should be essentially complete after the hydrotest weight (which
is the first loading). Foundations on clay soils should be checked using the
weight of the commodity (i.e., operation load) because clay settles more
evenly and slowly due to consolidation. In some instances, it is advisable to
use a water test to consolidate clay layers by slowly filling the tank and waiting for settlement to occur.
When considering soil-bearing pressure due to empty plus wind conditions, there are two possible cases. In the first case, the foundation has no
uplift, so all of the ring beam is subject to compression. If there is no uplift,
then maximum soil pressure for empty plus wind will be less than the maximum soil pressure for operating plus wind. Thus, when there is no uplift,
soil pressure for empty plus wind does not need to be checked. The e/Do
ratio can be used to determine whether uplift is present. If uplift is not present, then:
q P min = − /A MOT Sxx
or
e D S AD
/ o o ≤ xx
where
S D D D
A D D
xx = − ( )
= − ( )
π π
o i o
o i
4 4
2 2
32
4
Thus,
e D / . o i ≤ + 0 125 1 { } ( ) D D / , o 2
or
e/Do ≤ 0.20 for Di/Do ≥ 0.8,
where
D
o = Ring beam outside diameter (m)
D
i = Ring beam inside diameter (m)
e = Eccentricity (m)
5.5.4 Soil Pressure (Uplift Is Present)
If uplift is present (e/Do > 0.20), soil pressure should be calculated because
the maximum pressure for empty plus wind could conceivably be higherStorage Tank Design 193
than operating plus wind. In computing maximum pressure for a particular
ratio (e/Do), two transcendental simultaneous equilibrium equations must be
solved. Since uplift will seldom be of major consequence with storage tanks,
no design curves are developed to solve the two equilibrium equations. If
e/Do > 0.33, the engineer may either increase hb or use another foundation
type. However, tb should not be increased to meet wind requirements.
5.5.5 Concrete Ring Beam Design
The ring beam depth shall be determined from the allowable soil-bearing
pressure requirements. The thickness of the ring wall, tb, is determined from
consideration of bearing pressure. However, to minimize differential settlements, the bearing pressure under the ring wall must equal the bearing pressure beneath the tank, at the same elevation as the ring wall bottom. The
minimum ring wall width shall be 300 mm (12 in.).
Soil pressure under the main portion of the tank (ton/m2)
P
o = γehL + γSh (5.21)
Soil pressure beneath the ring beam (ton/m2)
P
o = P/b + γo(LhL/b) + hγC (5.22)
Equating Equations (5.21) and (5.22) and solving for b yield:
b = (P + LhLγo)/[γohL – h(γC – γS)] (5.23)
where
γo = Unit weight of tank product (ton/m3)
γS = Unit weight of soil (ton/m3)
γC = Unit weight of concrete (ton/m3) = 2.5 ton/m3
hL = Height of tank product (m)
h = Height of ring beam (m)
P = Weight of tank wall and roof weight per meter of circumference
(ton/m’)
b = Width of ring wall (m)
In any way, the beam width should satisfy the following equation:
q = P/b + γo(L ∙ hL/b) + h ∙ γC ≤ qall
where
qall = Allowable bearing pressure194 Construction Management and Design of Industrial Concrete and Steel Structures
5.5.6 Ring Wall Reinforcement
Horizontal reinforcing of the ring beam foundations should be designed to
resist horizontal active earth pressure in hoop tension with horizontal reinforcing sized to take all of the tension. Passive soil pressure is neglected and
should not be used to reduce the horizontal design loads. The normal horizontal (radial) forces acting at every section along the ring wall are shown below.
Fo
= horizontal force due to products in tanks = Kaγo(h)hL
Fs
= horizontal active soil = K
aγS(h)2/2
Total force F = F
o + Fs
Thus,
F = K
ah(γohL + γSh/2) (5.24)
where
F = Radial outward force on ring beam (ton/m)
K
a = Active earth pressure coefficient = tan2(45° – Φ/2)
Φ = Angle of internal soil friction
If Φ is not known, Ka should be taken as 0.3 for sand and 0.7 for clays.
The radial force, F, causes a hoop tension in the ring, which is presented
in Figure 5.23.
For working stress design:
T = ½FD (5.25)
For limit state design based on ACI:
T
U = 1.7T (5.26)
D
b
F
FIGURE 5.23
Hoop stresses.Storage Tank Design 195
where
T = Hoop tension in ring beam
TU
= Ultimate hoop tension in ring beam
D = Tank diameter
The horizontal reinforcing should be designed to carry all of the tension. By
using ultimate stress design:
A
s = TU/Φfv
The minimum horizontal reinforcing should be equal to 0.0025 times the
ring cross-section area.
A
s (min) = 0.0025 × h × b
All circumferential tension steels should be continuous with splices staggered. All splices should be class B type (1.3 ld) as given in ACI 318-99. For
vertical reinforcing, the minimum shall equal 0.0015 times the ring crosssection area, but not less than 5 bars diameter, 8 mm every meter (5ϕ8/m’).
A
s (min) = 0.0015 × h × b
In special cases for areas of weak, compressible soils, special foundations
and design procedures or soil improvement may be required to prevent
excessive settlement. As a general guideline, if the differential settlement
hL
ht
h
b
tw
tb
D
FIGURE 5.24
Example—sketch ring beam design.196 Construction Management and Design of Industrial Concrete and Steel Structures
approaches 12 to 20 mm at a distance of 9 to 12 m of the shell circumference
of an ordinary flat bottom tank, a detailed evaluation of the soil pressure
should be made. Under no circumstances should the soil pressure exceed
the allowable rate.
The location of drain-out nozzles at the tank bottom should be considered
and appropriate block out details should be provided in the concrete ring
wall. This will prevent any interference with the drain out nozzle flanges.
Example: Floating Roof Tank
Tank Data (from Certified Vendor Drawing)
Floating roof tank as shown in Figure 5.24
Diameter, D = 110 m
Tank height, hT = 18 m
Average wall plate thickness, tw = 22 mm
Bottom plate thickness = 10 mm
Height of liquid, hL = 17.7 m
Unit weight of product, γo = 9 ton/m3
Unit weight of water to hydrostatic test, γo = 1.0 ton/m3
Assume weight of stairs and platform to 5% of the weight of tank shell.
Soil Data (from Geotechnical Soil Investigation Report)
Unit weight of soil, γS = 2 ton/m3
Ka
= 0.30
Allowable bearing pressure = 0.19 N/mm2
Foundation Material
fc
′ = 27.5 N/mm2
γC = 2.5 ton/m3
Reinforcement f
y = 360 N/mm2
Wind Load
Basic wind speed = 93 mph as per the Metocean data provided by the owner
Seismic Load
Seismic zone = 0
Stability Analysis
In this case, the tank diameter D > hL, so wind analysis is not required. No uplift
will occur due to wind load.
Tank Ring Beam Design and Soil-Bearing Pressure
Assume ring beam depth, hb = 1250 mm
Assume ring beam thickness, tb = 450 mm
Weight of tank wall per meter of circumferenceStorage Tank Design 197
W
W = 0.022 × 7.85 × 18 × 1.05 = 3.3 ton/m’
Forces Acting on Ring Beam
Soil–Bearing Pressure under Ring Beam
WR
= 0 for floating root
L = b/2
Po
= (WW + WR)/b + γohL/2 + hγC
Po
= (3.3 + 0)/0.45 + (0.9 × 17.7)/2 + 1.25 × 2.5
Po
= 7.33 + 7.97 + 3.125 = 18.43 ton/m2 < 19.2 ton/m2 OK
Soil-Bearing Pressure under Tank
Po
= γohL + γSh
Po
= (0.9 × 17.7) + (1.8 × 1.25) = 18.18 ton/m2 < 19.2 ton/m2 OK
Soil-bearing pressure under ring wall and tank bottom is almost equal; therefore,
no settlement problem will occur.
Ringwall Thickness
b = (WW + WR)/{γPhL−2h(γC − γS)}
b (product) = (3.3 + 0)/{0.9 × 17.7 – 2 × 1.25 (2.5 – 1.8)} = 0.23 m
b (hydrotest) = 3.3/{1.0 × 17.7 − 2 × 1.25 (2.5 − 1.81)} = 0.21 < 0.45 OK
Ringwall Reinforcement
Horizontal Reinforcement
Radial outward force, F, on ring beam (ton/m)
450 mm
1250 mm
FIGURE 5.25
Reinforced detail for ring beam.198 Construction Management and Design of Industrial Concrete and Steel Structures
For hydrotest, as a maximum loading case
F
H = 0.3 × 1.25 (1.0 × 17.7 + 2 × 1.25/2) = 7.11 ton/m’
Hoop tension, T, in ring beam = ½FD
TH
= ½ × 7.11 × 109.78 = 390 tons
Using ultimate stress design
T
U = 1.7 × 390 = 663 tons
A
s (required) = TU/ϕfy
A
s (required) = 663 (9800)/0.9 × 360 = 20,054 mm2
A
s (provided) = 22 ϕ 25 mm (two faces) = 21,598 mm2 > 20,054 mm2 OK
A
s (minimum) = 0.0025 × 1250 × 450 = 1406 mm2 < 20,054 mm2 provided OK
Vertical Reinforcement
A
s (minimum) = 0.0015 × hR × tR
A
s (minimum) = 0.0015 × 1.25 × 0.45 × 1,000,000 = 843.75 mm2
Choose 6 ϕ 10 mm/m’
A
s = 2 × 78 × 6 = 936 mm2 > As min OK
The detailing of the steel bars in the ring beam is illustrated in Figure 5.25.
References
API RP 2350. 2005. Overfill Protection for Storage Tanks in Petroleum Facilities.
API Standard 650. 1998: Welded Steel Tanks for Oil Storage, 10th Edition. Washington,
DC: API.
ASCE 7. 2002. Minimum Design Loads for Buildings and Other Structures.
EEMUA, Guide to the Inspection, Maintenance and Repair of Above Ground Vertical
Cylindrical Steel Storage Tanks, 2003. 3rd Edition with corrigenda and ammendment February 04 to vol. 1 and January 2005 to vol. 2.
Hilal, M. 1988. Theory and Design of Reinforced Concrete Tanks. Cairo, Egypt: J & Marcou
Co.
Zick, L. P., and R. V. McGrath. 1968. Design of large diameter cylindrical shells. Proc
Am Pet Inst, Div Refining. 48:1114–1140.199
6
Static Equipment Foundation Design
6.1 Introduction
The equipment used by oil and gas plants generally falls into two categories: static equipment and rotating equipment. In this chapter, we will focus
on static equipment such as vertical and horizontal separators, knockout
drums, vertical desalination towers, and similar pieces of equipment, which
are called pressure vessels because most contain a fluid under pressure.
This chapter establishes guidelines and recommends procedures for use
by engineers in analyzing and designing foundations for static equipment
using the heat exchanger and horizontal vessel as examples. These guidelines and recommendations should be used where applicable, unless otherwise specified.
6.2 Design Procedure
The engineer should review project design criteria to determine wind and
earthquake loads, corrosion allowances for anchor bolts, anchor bolt types,
and any special requirements dictated by the owner. The engineer should
verify that the design is based on applicable codes when the foundation
drawings are issued.
6.2.1 Dead Loads
If you apply working strength design or limit state design, the dead load will
consist of the following items (these loads represent all the types that will
affect the pressure vessel during its lifetime):
1. Structure dead load (Ds): the weight of the foundation and soil above
the part of the foundation that resists uplift.200 Construction Management and Design of Industrial Concrete and Steel Structures
2. Erection dead load (Df): the fabricated weight of the exchanger or
vessel, generally taken from certified exchanger or vessel drawings.
3. Empty dead load (De): the empty weight of the exchanger or vessel, including all attachments, trays, internals, bundle, insulation,
fireproofing, agitators, piping, ladders, platforms, and others. The
eccentric load should also be added to the empty dead load weight.
4. Operating dead load (Do): the load affect during operation. This
load will be the empty dead load of the exchanger or vessel, in addition to the maximum weight of contents during normal operation.
The eccentric load should also be added to the operating dead load
weight.
5. Test dead load (Dt): the load during testing of the vessel. This load is
the dead load of an empty vessel plus the weight of the test medium
contained in the system. The fluid that will be used in the test should
be as specified in the contract documents or by the owner. Unless
otherwise specified, a minimum specific gravity of 1.0 should be
used for the test medium.
The load during cleaning should be used instead of the test dead load if the
cleaning fluid has a specific gravity higher than 1. It should be determined
whether testing or cleaning will actually be conducted in the field.
It is generally desirable to design for the test dead load because unforeseen circumstances may occur. The eccentric load should also be added to
the test dead load weight. The following guidelines are recommended for
use if more exact information about piping supported on the exchanger or
horizontal vessel is not available. These guidelines should be verified after
obtaining the actual data.
1. Heat exchangers
(a) A load of an additional 20% of the applicable weight (empty or
operating) for heat exchangers with diameters less than 600 mm
(24 in.)
(b) A load of an additional 10% of the applicable weight (empty or
operating) for heat exchangers with diameters equal to or greater
than 600 mm (24 in.)
2. Vessels
A load of an additional 10% of the applicable weight (empty, operating, or test) for horizontal vessels. This additional load, which we
discussed earlier, should be applied at a perpendicular horizontal
distance of D/2 + 450 mm (18 in.) from the longitudinal centerline
of the vessel. The basic diameter is calculated using the following
equation: basic diameter (D) = vessel’s internal diameter (ID) + 2(wall
thickness) + 2(insulation thickness).Static Equipment Foundation Design 201
This additional eccentric load (vertical load and moment caused by eccentricity) should be distributed to each pedestal in proportion to the distribution
of the operating load to each pedestal. For stacked exchangers, the weight
of only the largest exchanger should be used to estimate the eccentric load.
For most common shell and tube heat exchangers, vertical dead loads should
normally be distributed with 60% to the channel end support and 40% to the
shell end support. The actual exchanger shape and support configuration
should be reviewed when determining weight distribution because, in many
cases, load distribution may vary.
6.2.2 Live Loads
Live load (L) data are described in Chapter 3, although the live load data
discussed in that chapter concern maintenance of valves, measurement, and
other activities. There will be less load effect in these cases than in the case
of pressure vessels.
6.2.3 Wind Loads
The engineering office is responsible for determining the wind loads (W)
used for the foundation design. Wind loads from vendors or other engineering disciplines should not be accepted without verification. Transverse
wind—the wind pressure on the projected area of the side of the exchanger or
vessel—should be applied as a horizontal shear at the center of the exchanger
or vessel. Including the wind load on projections such as piping, manways,
insulation, and platforms during wind analysis is important. The saddle-topier connection should be considered fixed for transverse loads.
Longitudinal wind—the wind pressure on the end of the exchanger or
vessel—should be applied as a horizontal shear at the center of the exchanger
or vessel. The flat surface wind pressure on the exposed area of both piers
and both columns should also be included, applied as a horizontal shear at
the centroid of the exposed area. The saddle-to-pier connection will be considered pinned for longitudinal loads unless more than one row of anchor
bolts exists.
No allowance should be made for shielding from wind by nearby equipment or structures, except under unusual conditions because, in industrial
facilities, equipment is regularly moved or changed.
6.2.4 Earthquake Loads
Earthquake loads (E) should be calculated in accordance with the relevant
code of the country where the plant is located, but in general, UBC is the
most popular code for earthquake loads for buildings, whereas SEI/ASCE
7-05 is preferred for nonbuilding structures, as this code focuses specifically
on them.202 Construction Management and Design of Industrial Concrete and Steel Structures
The engineer is responsible for determining the earthquake loads used for
the foundation design. Earthquake loads from vendors or other engineering disciplines should not be accepted without verification. For low-friction
slide plates (μ ≤ 0.2), all longitudinal earthquake loads should be applied at
the fixed pier. In higher friction slide plates (μ > 0.2), 70% of the earthquake
loads should be applied at the fixed pier. Earthquake loads in transverse and
vertical directions should be distributed in proportion to the vertical load
applied to both piers.
The piers are normally designed for the fixed end, then the pier for the
sliding end is made identical, to avoid potential errors in construction and
reduce engineering time. If this proves to be uneconomical, the sliding end
should be designed for 30% of the longitudinal earthquake load if using
low-friction slide plates and for 50% of the longitudinal earthquake load if
using high-friction slide plates. Horizontal loads should be divided equally
between piers unless otherwise required by the engineering judgment.
6.2.5 Bundle Pull Load (Exchangers)
Bundle pull loads only exist in the case of heat exchangers, as during operation, it is necessary to remove the bundle tubes inside the heat exchangers
for cleaning. This should be defined by the operation group and the data
sheet, as there are some types of cleaning that do not require removing the
bundle.
In this calculation, reducing the empty weight of the exchanger because
of the removal of the exchanger head (channel) to pull the bundle should be
considered. The weight of the exchanger head (channel) is typically within
the range of 8% to 15% of the empty weight of the exchanger.
6.2.6 Thermal Forces
By knowing the maximum design temperature, you can calculate the thermal growth using the thermal coefficients, as shown in Table 6.1. The thermal force used for design should be the smaller value resulting from the
following two calculations:
1. The force required to overcome static friction between the exchanger or
vessel support and the slide plate:
Ff = μ(Po) (6.1)
where
Ff = Static friction force
μ = Coefficient of friction; refer to the values given in Section 6.6
Po = Nominal operating compression dead load on slide plateStatic Equipment Foundation Design 203
TABLE 6.1
Total Linear Expansion between 70ºF and Indicated Temperature (mm/m) for Different Materials
Temperature (ºF)
Shell Material
Carbon Steel
Carbon-Moly
Low-Chrome
(through 3 Cr Mo)
5 Cr Mo
through
9 Cr Mo
Austenitic
Stainless Steels
18Cr 8 Ni
12 Cr
17 Cr
27 Cr
12 Cr
20 Ni
Monel
67 Ni
30 Cr
3-1/2
Nikel Ni–Fe–Cr
70 0 0 0 0 0 0 0 0
100 0.18 0.28 0.17 0.27 0.23 0.19 0.23 0.18
125 0.33 0.52 0.30 0.48 0.43 0.35 0.43 0.33
150 0.48 0.75 0.44 0.70 0.63 0.51 0.63 0.48
175 0.63 0.98 0.58 0.92 0.83 0.68 0.83 0.63
200 0.78 1.22 0.72 1.14 1.02 0.84 1.03 0.78
225 0.94 1.46 0.86 1.37 1.22 1.01 1.24 0.94
250 1.11 1.69 1.01 1.59 1.43 1.18 1.47 1.11
275 1.27 1.93 1.15 1.82 1.63 1.36 1.69 1.27
300 1.43 2.18 1.30 2.04 1.84 1.53 1.92 1.43
325 1.58 2.42 1.45 2.27 2.03 1.71 2.16 1.58
350 1.75 2.67 1.61 2.49 2.23 1.88 2.40 1.75
375 1.92 2.92 1.76 2.72 2.43 2.06 2.65 1.92
400 2.08 3.17 1.92 2.94 2.71 2.24 2.90 2.08
425 2.27 3.42 2.08 3.17 2.93 2.43 3.13 2.27
450 2.44 3.68 2.24 3.39 3.16 2.61 3.37 2.44
475 2.62 3.93 2.41 3.62 3.38 2.79 3.59 2.62
500 2.79 4.18 2.57 3.84 3.61 2.98 3.83 2.79
525 2.98 4.43 2.73 4.07 3.84 3.18 4.06 2.98
550 3.17 4.68 2.91 4.29 4.08 3.37 4.30 3.17
(continued)204 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 6.1 Continued
Total Linear Expansion between 70ºF and Indicated Temperature (mm/m) for Different Materials
Temperature (ºF)
Shell Material
Carbon Steel
Carbon-Moly
Low-Chrome
(through 3 Cr Mo)
5 Cr Mo
through
9 Cr Mo
Austenitic
Stainless Steels
18Cr 8 Ni
12 Cr
17 Cr
27 Cr
12 Cr
20 Ni
Monel
67 Ni
30 Cr
3-1/2
Nikel Ni–Fe–Cr
575 3.35 4.94 3.08 4.52 4.32 3.56 4.53 3.35
600 3.53 5.20 3.25 4.74 4.55 3.75 4.77 3.53
625 3.73 5.46 3.42 4.97 4.79 3.95 5.01 3.73
650 3.91 5.73 3.59 5.19 5.04 4.15 5.25 3.91
675 4.10 5.98 3.77 5.42 5.28 4.35 5.48 4.10
700 4.28 6.25 3.94 5.64 5.53 4.55 5.73 4.28
725 4.48 6.52 4.12 5.87 5.78 4.75 5.98 4.48
750 4.68 6.79 4.30 6.09 6.04 4.95 6.23 4.68
775 4.88 7.06 4.48 6.32 6.29 5.15 6.47 4.88
800 5.08 7.33 4.67 6.54 6.54 5.36 6.72 5.08
825 5.28 7.61 4.85 6.79 6.80 5.57 6.96 5.28
850 5.49 7.88 5.04 7.04 7.07 5.78 7.22 5.49
875 5.69 8.16 5.23 7.29 7.33 5.98 7.46 5.69
900 5.89 8.43 5.41 7.54 7.60 6.19 7.72 5.89
925 6.09 8.72 5.59 7.79 7.87 6.40 7.97 6.09
950 6.30 9.00 5.78 8.04 8.14 6.61 8.23 6.30
975 6.51 9.28 5.98 8.29 8.41 6.81 8.48 6.51
1000 6.72 9.57 6.17 8.54 8.68 7.01 8.74 6.72
1025 6.92 9.85 6.35 8.79 8.96 0.00 9.00 6.92Static Equipment Foundation Design 205
1050 7.13 10.13 6.63 9.04 9.24 0.00 9.26 7.13
1075 7.33 10.42 6.82 9.29 9.53 0.00 9.52 7.33
1100 7.54 10.70 6.93 9.54 9.81 0.00 9.78 7.54
1125 7.73 10.98 7.11 9.82 10.09 0.00 10.04 7.73
1150 7.93 11.27 7.30 10.09 10.39 0.00 10.32 7.93
1175 8.13 11.55 7.48 10.37 10.68 0.00 10.58 8.13
1200 8.33 11.83 7.67 10.64 10.96 0.00 10.85 8.33
1225 8.55 12.12 7.85 10.92 11.25 0.00 11.13 8.55
1250 8.78 12.40 8.04 11.19 11.55 0.00 11.43 8.78
1275 8.99 12.68 8.23 11.47 11.85 0.00 11.70 8.99
1300 9.22 12.97 8.43 11.74 12.15 0.00 11.99 9.22
1325 9.42 13.25 8.61 11.99 12.45 0.00 12.28 9.42
1350 9.63 13.53 8.80 12.24 12.75 0.00 12.58 9.63
1375 9.83 13.82 8.98 12.49 13.05 0.00 12.87 9.83
1400 10.04 14.10 9.18 12.74 13.35 0.00 13.17 10.04
1425 0.00 14.42 0.00 0.00 0.00 0.00 13.47 0.00
1450 0.00 14.74 0.00 0.00 0.00 0.00 13.78 0.00
1475 0.00 15.07 0.00 0.00 0.00 0.00 14.07 0.00
1500 0.00 15.39 0.00 0.00 0.00 0.00 14.38 0.00206 Construction Management and Design of Industrial Concrete and Steel Structures
2. The force required to deflect the pier or column is equal to half of the
thermal expansion between exchanger or vessel saddles:
T EI
H
=
3 2
3
∆
(6.2)
where
T = Force from thermal expansion required to deflect pier or column
Δ = Total growth between exchanger or vessel saddles = εL
ε = Thermal expansion coefficient in accordance with Table 6.1
L = Length of exchanger or vessel between saddles
E = Modulus of elasticity of concrete pier
I = Pier moment of inertia
H = Pier height
The thermal force should be applied at the top of the piers. Horizontal
loads should be divided equally between piers, unless otherwise required.
6.2.7 Load Combinations
Heat exchangers and horizontal vessel foundations should be designed using
the load combinations presented in Chapter 3. The piping thermal loads
should be included in combinations when deemed advisable and should be
considered dead loads when applying load factors.
6.3 Anchor Bolts
Friction force at the bottom of the saddle should be overcome before a lateral
load is assumed to produce shear in the anchor bolts. For earthquake loads,
horizontal shear forces should be applied to the anchor bolts, assuming no
frictional resistance.
6.4 Slide Plates
A steel slide plate or low-friction slide plate assembly should typically be
provided at the sliding end of every exchanger or vessel, regardless of the
flexibility inherent in the structural support. Small, lightly loaded exchangers or vessels may not require slide plates. Low-friction manufactured slideStatic Equipment Foundation Design 207
plate assemblies should be used to reduce high-frictional resistance, especially in cases of heavy exchangers or for exchangers with significant thermal growth. For exchangers with bundle pull, steel slide plates instead of
low-friction slide plate assemblies may be more cost efficient.
Typically, a low-friction slide plate assembly consists of multiple individual slide plate components spaced out along the length of the saddle. Each
slide plate component consists of an upper element and a lower element, and
the sliding surface is at the interface of the upper and lower elements. The
elements should be fabricated with a carbon steel backer plate attached to
the elements to facilitate welding of the upper elements to the saddles and
the lower elements to the steel bearing plate.
Typical coefficients of friction are as follows. For low-friction slide plate
assemblies, the manufacturer’s data sheet should be read carefully, as the
coefficients of friction vary with slide plate material, temperature, and pressure. Use the following figures for coefficients of friction:
1. No slide plate (steel support on concrete): 0.60
2. Steel slide plate: 0.40
3. Low-friction slide plate assemblies: 0.05 to 0.20
It is suggested that the criteria for sizing low-friction slide plate elements
should be as follows. The manufacturer’s data sheet and specifications
should be consulted for temperature restrictions, pressure limitations, and
other requirements that may affect the size and types of materials used for
the slide plate elements. These data should be available to the mechanical
department, which is always responsible for delivering these data. By considering Δ as the total thermal growth between exchanger or vessel saddles,
the element widths will be defined by the following limits:
1. Upper element = saddle width + 25 mm minimum to allow for
downhand welding on the element-to-saddle weld (a larger upper
element width may be required for exchangers or vessels with large
Δ values).
2. Lower element = upper element width – 2(Δ) – 25 mm (minimum of
25 mm narrower than upper element).
Element lengths should be defined as follows (use a 450-mm maximum
clear distance between lower elements):
1. The lower element is based on the allowable contact pressure, in
accordance with the manufacturer’s literature and the lower element
width.
2. Upper element = lower element length + 25 mm.208 Construction Management and Design of Industrial Concrete and Steel Structures
Plates should be aligned with saddle stiffeners where practical. A continuous steel bearing plate should be provided under the lower elements so
that the lower elements can be welded to the bearing plate. The minimum
width of the bearing plate should be 25 mm larger than the width of the
lower elements. The minimum length of the bearing plate should be 25 mm
larger than the saddle length. Bearing stress on concrete should be checked
in accordance with ACI 318-05/318R-05.
In summary, the suggested criteria for sizing steel slide plates are as
follows:
1. Minimum width = saddle width + 2Δ + 25 mm
2. Minimum length = saddle length + 25 mm
Bearing stress on concrete should be checked in accordance with ACI 318-
05/318R-05.
6.5 Pier Design
The pier dimensions should be sized on the basis of standard available forms
for the project. When information is not available, pier dimensions should be
sized in 2-in. (50-mm) increments to allow use of standard contractor wood
forms. Minimum pier dimensions should equal the maximum of the saddle, the bearing plate, or the steel slide plate dimensions, plus 100 mm, and
should be sized to provide an adequate anchor bolt edge distance based on
the anchor bolt design section. Minimum pier width should be no less than
250 mm or 10% of the pier height.
6.5.1 Anchorage Considerations
It is normally desirable to make the pier high enough to contain the anchor
bolts and to keep them out of the footing. Consideration must be given to
anchor bolt development and foundation depth requirements.
6.5.2 Reinforcement for Piers
In general, the piers should normally be designed as cantilever beams with
two layers of reinforcement. If the pier is a compression-controlled member, the pier should be designed as a column. In any case, the size and reinforcement for each pier should normally be the same. Dowel splices are not
required if the vertical pier reinforcing projection is less than 1.8 m or the
rebar size (in feet) above the top of the footing. For example, the #8 rebar
(25 mm) can extend up to 8 ft (2.5 m) above the mat without dowel splices.Static Equipment Foundation Design 209
For cases that exceed this limit, dowels with minimum projections required
for tension splices should be used in accordance with ACI 318-05/318R-05 or
BS8110.
Vertical reinforcement in piers may need to be increased to account for
shear friction. The following formula should be used to calculate the area of
reinforcement required for shear friction:
Avf = [Vu/(μφ) – Pu pier]/fv (6.3)
where V
u is the strength design factored shear force at the bottom of the
pier.
6.6 Foundation Design
Soil-bearing pressure should be computed for the footing design and checked
against the allowable bearing capacity, which is available from the geotechnical report based on the following equation (the total footing area will be
under compression in the case of e ≤ (b/6)):
e = M/P
q
P A
e
b
= ±




1 6 (6.4)
In the case of e > (b∕6), the total footing area is not under compression and
some of the area is under tension (Figure 6.1), where
e = Eccentricity of the vertical service load caused by the horizontal service load
a = Size of footing perpendicular to the direction of the horizontal load
b = Size of footing parallel to the direction of the horizontal load
P = Total vertical service load (exchanger or vessel, pier, footing, and
soil)
A = Area of footing
In some cases, eccentricity exists in both directions (Figure 6.2), and under
such a situation, the above equations cannot apply.
The numerical solutions can be found in many soil mechanics textbooks,
and there are many commercial software available for such calculations. The
following principal equation will be applied as follows:210 Construction Management and Design of Industrial Concrete and Steel Structures
e
M p
e
m p
q
p a
pe
ba
pe
ab
q
q a
1
1 1
2
2
2
6 6
= = and + + = +
2
2
max min
66 6 1
2
2
2
pe
ba
pe
ab
+
6.6.1 Foundation Reinforcement
6.6.1.1 Bottom Reinforcement
The strength design factored moment and shear should be figured on a unit
width strip, assuming a simple cantilever. The critical section for moment
and diagonal tension shear should be taken at the pier or column face. If
a
b
e
P
FIGURE 6.1
Sketch of load eccentricity.
a
b
e2
P
e1
FIGURE 6.2
Sketch of load eccentricity in two directions.Static Equipment Foundation Design 211
shear is excessive, the strength design factored shear should be rechecked
using the critical section for shear specified in ACI 318-05/318R-05.
The resulting reinforcing steel should be placed continuously across the
entire footing. The minimum amount of bottom reinforcement is 16 mm at
every 300 mm based on ACI 318-05/318R-05. In a normal design for a concrete section procedure, it will be according to the code or standard that you
are using in the design. In this book, we will apply ACI 318-05/318R-05.
6.6.1.2 Top Reinforcement
Except where seismic effects create tensile stresses, top reinforcement in the
footing is not necessary if the factored tensile stress at the upper face of the
footing does not exceed the flexural strength of structural plain concrete, as
follows:
ft′ = 0.4167φ( fc′) (6.5)
where
ft′ = Flexural strength of structural plain concrete (MPa)
fc′ = Compressive strength of concrete (MPa)
φ = Strength reduction factor for structural plain concrete = 0.55
The actual thickness, t, specified in the drawing should be higher than the calculated thickness of the footing for tensile stress calculations by about 50 mm
to allow for the unevenness of excavation and contamination of the concrete
adjacent to the soil. For footings cast against plain concrete, the actual thickness of the footing may be used for the calculated depth. If the factored tensile
stress exceeds the flexural strength of structural plain concrete, top reinforcement should be used if an increase in footing thickness is not feasible.
The following formulas are used for calculating the required footing thicknesses with no top reinforcing steel.
For footings cast against soil:
t = t
c + 50 mm (6.6)
With t
c calculated as follows:
t
c = (Mu/ft′)1/2 (6.7)
where
t = Required footing thickness with no top reinforcing steel (mm)
t
c = Calculated footing thickness (mm)
M
u = Strength design factored moment caused by the weight of soil and
concrete acting on a 1-m strip in the footing at the face of the pier
(mt/m’), using a load factor of 1.4
ft = Flexural strength of structural plain concrete (MPa)212 Construction Management and Design of Industrial Concrete and Steel Structures
If tensile stress in the upper face of the footing exceeds the ACI plain concrete design requirements, top steel should be used if increasing the footing
thickness is unfeasible. If top reinforcement is required, minimum reinforcement is 12-mm diameter at every 300 mm.
Table 6.2 gives the approximate weight of standard heat exchangers, all
in tons. The curves are for a 4.8-m (192-in.) type ET exchanger with two
passes in the tubes. The tubes are 3/4 in. on a 90° layout. The tube material
is 14-gauge steel. For the weights of heat exchangers with other tube lengths,
multiply by the factors given in Table 6.3.
TABLE 6.2
Approximate Heat Exchanger Weight
Heat Exchanger
Diameter (in.)
Heat Exchanger Pressure Class
150 300 450
15 2.2 2.5 2.9
18 2.8 3.2 3.8
20 3.4 3.9 4.6
22 4.0 4.4 5.4
24 4.8 5.4 6.2
26 5.6 6.4 7.2
28 6.4 7.2 8.2
30 7.2 8.3 8.4
32 8.2 9.4 10.8
34 9.2 10.6 12.3
36 10.4 12.0 13.9
38 11.6 13.6 15.4
40 12.8 14.6 17.0
42 14.2 16.2 18.8
44 15.4 17.8
46 16.8 19.5
48 18.5 21
TABLE 6.3
Modification Factor for Different Tube Lengths
Tube Length (m) Modification Factor
2.4 0.80
3.0 0.85
3.6 0.90
4.2 0.95
4.8 1.00
6.0 1.10Static Equipment Foundation Design 213
Table 6.4 gives the approximate weight of standard tube bundles, all in
tons. The tubes are 3/4 in., 14 gauge, and 4.8 m (192 in.) long. The tubes
are two pass on a square pitch. Baffle spacing ranges from 200 mm on the
375-mm (15 in.) exchanger to 400 mm on the 1200-mm (48 in.) exchanger.
For the weight of bundle with other lengths, multiply by the factors given in
Table 6.5.
TABLE 6.4
Approximate Tube Bundle Weight
Heat Exchanger
Diameter (in.)
Heat Exchanger Pressure Class
150 300 450 600
15 0.9 0.9 0.9 1.0
18 1.2 1.3 1.3 1.4
20 1.5 1.6 1.6 1.7
22 1.8 2.0 2.0 2.1
24 2.3 2.4 2.5 2.7
26 2.7 2.8 2.9 3.0
28 3.2 3.3 3.4 3.6
30 3.7 3.9 4.0 4.2
32 4.2 4.45 4.55 4.8
34 4.8 5.0 5.25 5.45
36 5.4 5.7 6.0 6.15
38 6.1 6.4 6.75 6.9
40 6.7 7.0 7.3 7.6
42 7.4 7.7 8.0 8.4
44 8.1 8.4 8.95 9.3
46 8.9 9.2 9.75 10.2
48 9.6 10.0 10.5 11.0
TABLE 6.5
Modification Factor for Different Tube Lengths
Tube Length (m) Modification Factor
3.0 0.70
3.6 0.80
4.2 0.90
4.8 1.00
6.0 1.20214 Construction Management and Design of Industrial Concrete and Steel Structures
6.7 Example: Heat Exchanger Data
Heat exchanger dimensions as shown in Figure 6.3.
6.7.1 Design Data
Empty weight = 14.5 tons
Operating weight = 20 tons
Bundle weight = 8.6 tons
Channel weight = 1.6 tons
Basic diameter = 1070 mm
Maximum design temperature = 550°F
Exchanger material: carbon steel
Bolts: Two 1-1/4-in. diameter, ASTM F1554, Grade 36 (galvanized) per pier
Bolt spacing = 80 mm
Saddle = 0.9 × 0.25 m
Load distribution = 60% at channel end, 40% at shell end
6.7.2 Design Criteria
Concrete, fc′ = 27.5 MPa
Reinforcing, fy = 248 MPa
Soil unit weight, γ = 2.0 ton/m3
Allowable net soil-bearing pressure, qall = 27 ton/m2 at 1.2-m depth
Wind load: SEI/ASCE 7-05
Earthquake load: SEI/ASCE 7-05
7 m
0.8 m
3.3 m
1.7 m
1.2 m
1.2 m
Channel
end
Shell
end
Pier
Saddle
FIGURE 6.3
Example—sketch of heat exchanger.Static Equipment Foundation Design 215
6.7.3 Loads Calculation
•	 Empty and operating loads
The exchanger weight supplied by outside manufacturers does not
include the weight of attached accessories such as pipes and insulation. Hence, it is recommended that you increase the exchanger
weight by 10% of the larger exchanger to account for these attached
items, as the basic diameter is larger than 600 mm.
Empty dead load, De = 14.5 + 14.5(1.1) = 30.45 tons
Operating dead load, Do = 20 + 20(1.1) = 42 tons
Empty
(per Exchanger) (ton)
Operating
(per Exchanger) (ton) Pier (W)
Transverse 2.5 3.4 0.154
Longitudinal 4 5.5 0.250
•	 Transverse moment from pipe eccentricity
Eccentricity = (basic diameter)/2 + (0.45 m) = (1.05)/2 + 0.45 = 0.975 m
Empty MTe (channel end) = 14.5(0.1)(0.6 channel end)(0.975) = 1.41 mt
Empty MTe (shell end) = (14.5)(0.1)(0.4 shell end)(0.975) = 0.566 mt
Operating MTO (channel end) = (20)(0.1)(0.6 channel end)(0.975) = 1.17 mt
Operating MTO (shell end) = (20)(0.1)(0.4 shell end)(0.975) = 0.78 mt
•	 Wind loads
Wind load will be calculated based on the load calculation discussed
in Chapter 3 and the data will be obtained from the vendor data.
The lateral force due to wind load will affect each exchanger at the
center.
1. Transverse wind, Hw = 0.58 tons (per exchanger)
2. Longitudinal wind, Hw = 0.11 tons (per exchanger)
3. Transverse or longitudinal wind on each pier, Hw = 1.87 kN/m2
•	 Earthquake loads
The lateral force due to earthquakes will also be calculated based on
the methodology described in Chapter 3. The strength design load
will be as described in the following table:
Empty
(per Exchanger) (ton)
Operating
(per Exchanger) (ton) Pier (W)
Transverse 1.72 2.37 0.108
Longitudinal 2.8 3.84 0.175216 Construction Management and Design of Industrial Concrete and Steel Structures
For calculations based on allowable stress design (service loads), the
strength design loads shown in the preceding table should be converted to service loads by multiplying by 0.7.
Empty
(per Exchanger) (ton)
Operating
(per Exchanger) (ton) Pier (W)
Transverse 1.72 tons 2.37 tons 0.108
Longitudinal 2.8 tons 3.84 tons 0.175
•	 Bundle pull
The bundle weight, which is applied at the centerline of the top
exchanger, will be as follows:
VB = 8.62 tons
Note that a reduction in the empty load of the exchanger owing to
the removal of the exchanger head (channel) to pull the bundle is
not included in this foundation calculation because the reduction
in empty load is not considered to have a significant effect on the
design.
•	 Thermal force
1. Compute the sliding force (assume that a steel slide plate is used).
Then, the coefficient of friction, μ = 0.40.
The operating load is calculated as follows:
Ff = μ(Po) = 0.4(25.2) = 10.08 tons (at channel end)
2. Compute the force required to deflect the pier.
Assume that the pier is 1.05 m (length) by 0.4 m (width) by 1.95 m
(height).
Moment of inertia is as follows:
I = b(h)3/12 = (1.05)(0.4)3/12 = 0.0056 m4
Based on ACI 318-05/318R-05, Section 8.5.1, the modulus of elasticity will be calculated as:
E f c c = 4700 ′ MPa
E f C c
MPa
= ′
= =
4700
4700 27 5
24 781
0 5
0 5
( )
( . )
,
.
.Static Equipment Foundation Design 217
Use Table 6.1 as a guideline to obtain the thermal expansion coefficient from the vessel data sheet. The thermal expansion coefficient for carbon steel at 550°F is ε = 3.4 mm/m.
The thermal growth between saddles is as follows:
Δ = (ε)(L) = (3.4 mm/m)(3.35) = 11.48 mm
T E = I H
= ⋅
3 2
3 11 48 1000 24 10 0 0056 2 1 95
3
6
∆ /
( . / / )( )( . ) ( . )
,
3
= = 322 182 31 N tons
Because Ff < T and because a lower friction factor will not help
the distribution of earthquake and bundle pull loads, it is advisable to use a steel slide plate.
6.7.4 Design Elements
6.7.4.1 Size Steel Slide Plate
Width = (saddle width) + 2(Δ) + 25 = 225 + 2(11.48) + 25 = 273 mm (make it
280 mm)
Length = (saddle length) + 25 mm = 900 + 25 = 925 mm
Check bearing stress (operating and longitudinal earthquake):
P
Eo = 5.5(0.85 + 2.5)/3.4 = 5.5 tons
Based on Table 3.26 in Chapter 3 for load combination 3:
P
u = 1.2(Po) + 1.0(PEo)
P
u = 1.2(25.2) + 1.0(5.5) = 35.74 tons
Based on ACI 318-08, Section 10.17:
P f n c = ϕ0 8 . ) 5 ′A1 = (0.65)(0.85)(27.5 m)(275 m)(925 m)
3864.910 kN kN OK
= = 3864 9. > Pu
Choose a steel slide plate of thickness 925 × 280 × 10 mm.218 Construction Management and Design of Industrial Concrete and Steel Structures
6.7.4.2 Pier Size
•	 Pier length
– c/c bolts + [2 mm(minimum anchor bolt edge distance)] = 800 +
[2(125 mm)] = 1050 mm
– (steel slide plate length) + (100 mm) = (925) + (100) = 1025 mm
Therefore, choose a pier length that is not less than 1050 mm.
•	 Pier width
Choose the greater of:
– 250 mm
– 10% of the pier height, in mm = (0.10)(1.95) = 0.195 mm (pier height
is assumed)
– 2 × (minimum anchor bolt edge distance, in mm) = 2(125) = 25 mm
– (steel slide plate width, in mm) + (100) = (280) + (100) = 380 mm ←
controls
The wooden form should be in increments of 50 mm; therefore, the pier size
will be
110 mm (length) × 400 mm (width)
The anchor bolt design is illustrated in Chapter 7. In this example, assume
the use of two 25-mm, ASTM F1554, Grade 36 anchor bolts per pier.
6.7.4.3 Pier Design
Assume that footing thickness is equal to 0.5 m.
Pier height = 2.45 – 0.5 = 1.95 m
The pier height information is constrained by the piping attached to the
vessel.
Pier weight = 2.5(0.4)(1.1)(1.95) = 2.15 tons
Use load combinations and strength design load factors as shown in Table
3.26 in Chapter 3.
1. Operating and longitudinal earthquake at fixed end
Apply 70% of exchanger earthquake loads at fixed end.
Horizontal load at fixed end (based on Table 3.26 in Chapter 3, load
combination 3),Static Equipment Foundation Design 219
VFX = 1.0[(0.7)(5.5)(2 exchangers) + (0.25)(2.15)] = 7.7 + 0.54 = 8.25 tons
Therefore, shear and moment at the bottom of pier will be
VFX = 8.24 tons
MFX = 7.7(1.95) + 1.14(1.95/2) = 16.13 mt
2. Empty and bundle pull at fixed end
Bundle pull force (using Table 3.26 in Chapter 3, load combination 9
or 10)
VB = 1.6(8.6) = 13.76 tons
Vertical load at the top of pier due to bundle pull on top exchanger
P
B = 13.76(0.85 + 1.68)/3.4 = 10.24 tons
Net vertical load on sliding pier pushing top bundle in (use for load
factor 0.9D from Table 3.26 in Chapter 3, load combination 10)
P
SL = (0.9)(18.27) − (10.24) = 6.2 tons
Horizontal load at sliding end
VSL = μ(PSL) = 0.40 (6.2) = 2.48 tons < 1/2 bundle pull force (VB)
Horizontal load at fixed end
VFX = (VB) − (VSL) = (13.76) − (2.48) = 11.28 tons
Shear and moment at bottom of pier,
VFX = 11.28 tons
MFX = (11.28)(1.95 m) = 22 mt
3. Operating and thermal at fixed end
Thermal force
Horizontal force due to thermal effect (VT) = 1.4(10.08 kips) =
14.1 tons220 Construction Management and Design of Industrial Concrete and Steel Structures
Horizontal load at fixed end
VFX = VT = 14.1 tons
Shear and moment at bottom of pier
VFX = 14.1 tons
MFX = (14.1)(1.95) = 27.5 mt
Therefore, the pier will be designed on
Shear force, V = 14.1 tons
Bending moment, M = 27.5 mt
Proceed with the design based on your applicable code in the project.
The following is a design guide by ACI.
Check diagonal tension shear
d = 400 − (50 clear) − (12.5 ties) − (12.5 bar thickness) = 325 mm
Based on ACI 318-08M,
ϕ ϕ V f c c b d w /
/ /
= ′
=
( )0.5 6
0 7 . ( 5 27 5 . )0 5 . ( ) 325 1100 ( ) 6 10000
23 43 14 1
,
= > . . tons V = tons OK
0.5 φVc = (0.5)(23.43) = 11.7 tons < V = 14.1 tons
The minimum tie requirements from a practical point of view are 12-mm
ties at 300-mm spacing; however, because V > 0.5 φVc, spacing requirement
should be checked for ϕ12-mm ties to meet the minimum shear reinforcement requirements of ACI 318-08M, Section 11.5.5:
A
v = (1/16)( fc′)0.5bws/fv, but not less than 0.33bws/fv
where b
w and s are expressed in mm.Static Equipment Foundation Design 221
s A = v v f f /(1/16)( ) c′ 0.5 , / bw = ( ) 113 2 248 ( )( ) ( ) 1 1 / 6 2 (27 5 1100
155
. )0 5 . ( )
= mm, but not more than / A f v v 00 3
133 2 248 0 33 1100 154
.
( )( ) ( . )( )
b
w
= = / mm
Choose ϕ12-mm ties at 15-mm spacing.
Design for Moment
After designing the section by ACI, choose 6 ϕ25 mm at each face.
6.7.4.4 Footing Size
Determine the minimum footing thickness to develop a standard hook for
ϕ25 mm and, by applying the development length equation, the footing
thickness will not be less than 45-mm pier reinforcing:
qall = (25 ton/m2 net)
Try a 2.45 × 1.7 (m) footing, 0.45-m thickness as shown in Figure 6.4
Total Pier Weights, Ps = 2.5 (1.1)(0.4)(1.95) = 2.15 tons
Soil-bearing and stability ratio checks
Use load combinations for allowable stress design (service loads) from
Table 3.5 in Chapter 3.
1. Check operating, thermal, and eccentric forces (channel/sliding end)
Thermal force at top of pier, VT = 10.08 tons
Maximum axial load at bottom of footing,
P
max = Ps + Po = (2.15) + (25.2) = 27.3 tons
Moments at bottom of footing (from Table 3.25 in Chapter 3, load
combination 1),
ML = (10.08)(2.4) = 24.2 mt
MTO (from pipe eccentricity) = 1.17 mt
Check soil-bearing using maximum axial load,
P = 27.3 tons222 Construction Management and Design of Industrial Concrete and Steel Structures
ML = 24.2 mt
MTO = 1.18 mt
q = + +
27 3
2 45 1 7
6 24 2
1 7 2 45
6 1 18
2 2 45
.
( . )( . )
( . )
. ( . )
( . )
. (1 7 ( . )
22
2 = ton/m2
q < qall OK safe
2. Check operating and longitudinal earthquake and eccentric loads
(shell/fixed end):
Longitudinal operating earthquake load on exchangers
0.7VLEo = 3.84 tons applied at the center of each exchanger
3.4 m
2.45 m
1.7 m
0.4 m
1.1 m
0.8 m
0.5 m
1.95 m
Section A–A
Pier
Axis
Pier
Axis
Foundation Plan
Ties min.
φ12 at 300 mm
Min. in two ways φ
12 at 200 mm
Top reinf. in two ways
Min. φ 12 at 200 mm
FIGURE 6.4
Example—sketch for foundation plan and sections.Static Equipment Foundation Design 223
Vertical load at the top of piers from longitudinal operating earthquake loads on exchangers due to overturning moment
0.7PEo = (3.84)(0.85 + 2.5)/(3.4) = ±3.78 tons
Axial loads at the bottom of footing
P
max = Ps + Po + 0.7PEo = (2.15) + (16.8) + (3.78) = 22.73 tons
From Table 3.25, load combination 3,
P
min = 0.9 (Ps + Po) − 0.7PEo = (0.9)(2.15 + 16.8) − (3.78) = 13.28 tons
Moments at bottom of footing (Table 3.25, load combination 5a)
ML = ( . 0 7 3 7 at fixed end)( . ) 8 2 ( exchangers)(2.45) ++ +
=
(0.175)(2.15)(1.95/2 0.5)
13.52 mt
MTo (ffrom pipe eccentricity) m = 0 78. t
Check the soil-bearing capacity
q = + +
22 73
2 45 1 7
6 13 52
1 7 2 45
6 0 78
2 2
.
( . )( . )
( . )
. ( . )
( . )
.45 1 7
14 1
( . )2 = . ton/m2
q < qall OK
Stability ratio check using minimum axial load:
Overturning moment
M M OT L E P a o /
/
= +    
= +
( . )( )
( . ) ( . )( . )
0 7 2
 13 52 3 84 2 45 2  = 18 22 . mt
Resisting moment
M P P a
R s o /
/
= + ( )
= + =
0 9 2
0 9 2 15 16 8 2 45 2 20
. ( )
( . )( . . )( . ) .9 mt224 Construction Management and Design of Industrial Concrete and Steel Structures
Stability ratio
M M R OT /
OK
=
= >
20 9 18 22
1 15 1 0
. ( . )
. .
3. Check operating and longitudinal earthquake and eccentric loads
(channel/sliding end)
Longitudinal operating earthquake load on exchangers
0.7VLEo = 3.84 applied at the center of each exchanger
Vertical load at the top of piers from the longitudinal operating
earthquake load on exchangers due to overturning moment
0.7PEo = (3.84)(0.85 + 2.5)/(3.4) = ±3.78 tons
Axial loads at the bottom of footing
P
max = Ps + Po + 0.7PEo = (2.15) + (25.2) + (3.78) = 31.13 tons
From Table 3.25 in Chapter 3, load combination 3
P
min = 0.9(Ps + Po) − 0.7PEo = (0.9)(2.15 + 25.2) − (3.78) = 20.84 tons
From Table 3.25 in Chapter 3, load combination 5a, moments at the
bottom of footing
ML = (0.3 at sliding end)(3.84)(2 exchangers)
(2.45) + (0.175)(2.15)(1.95/2 + 0.5) = 3.4 mt
MTO (from pipe eccentricity) = 1.18 mt
q = + +
20 84
2 45 1 7
6 3 4
1 7 2 45
6 1 18
2 2 45
.
( . )( . )
( . )
. ( . )
( . )
. (( . )
.
1 7
8 0
2 = ton/m2
q < qall OK safeStatic Equipment Foundation Design 225
Stability ratio check using minimum axial load:
Overturning moment
(MTO) = [ML + (0.7PEo)(a/2)] = [(3.4) + (3.84)(2.45)/2] = 8.1 mt
Resisting moment
(MR) = 0.9(Ps + Po)(a/2) = (0.9)(2.15 + 25.2)(2.45)/2 = 30.15 mt
Stability ratio
MR/MTO = (30.15)/(8.1) = 3.72 > 1.0
4. Check stability for empty and longitudinal earthquake and eccentric
loads (channel/sliding end)
Longitudinal empty earthquake load on exchangers
0.7VLEe = 2.8 tons applied at the center of each exchanger
Vertical load at the top of piers from longitudinal empty earthquake
load on exchangers due to overturning moment
0.7PEe = (2.8)(0.85 + 2.5)/(3.4) = ±2.8 tons
Minimum axial load at the bottom of footing
P
min = 0.9(Ps + Pe) − 0.7PEe = (0.9)(2.15 + 18.27) − (2.8) = 15.6 tons
Longitudinal moment at bottom of footing, from Table 3.25, load
combination 5b
ML = ( . 0 3 2 8 at sliding end)( . )(2 ) exchangers)(2.45)
+ + (0.175)(2.15 wt)(1 9 . . 5 2 / m 0 45 4 ) . = 65 t
Stability ratio check using minimum axial load:
Overturning moment
(MTO) = [ML + (0.7PEe)(a/2)] = [(4.65) + (2.8)(2.45)/2] = 8.08 mt
Resisting moment
(MR) = 0.9(Ps + Pe)(a/2) = (0.9)(2.15 + 18.27)(2.45)/2 = 22.5 mt226 Construction Management and Design of Industrial Concrete and Steel Structures
Stability ratio
MR/MTO = (22.5)/(8.08) = 2.78 > 1.0 OK
5. Check stability for empty and longitudinal earthquake and eccentric
loads (shell/fixed end):
Longitudinal operating earthquake load on exchangers
0.7VLEe = 2.8 tons applied at the center of each exchanger
Vertical load at the top of piers from longitudinal empty earthquake
load on exchangers due to overturning moment
0.7PEe = (2.8)(0.85 + 2.5)/(3.4) = ±2.8 tons
Minimum axial load at the bottom of footing
P
min = 0.9(Ps + Pe) − 0.7PEe = (0.9)(2.15 + 12.18) − (2.8) = 10.1 tons
From Table 3.25 in Chapter 3, load combination 5b, longitudinal
moment at bottom of footing
ML = (0.7 at fixed end)(2.8)(2 exchangers)(2.45)
+ (0.175)(2.15)(1.95/2 + 0.45 ft) = 10.14 mt
Stability ratio check using minimum axial load:
Overturning moment
MTO = [ML + (0.7PEe)(a/2)] = [(10.14) + (2.8)(2.45)/2] = 13.57 mt
Resisting moment
(MR) = 0.9(Ps + Pe)(a/2) = (0.9)(2.15 + 12.18)(2.45)/2 = 15.8 tons
Stability ratio
MR/MTO = (15.8)/(13.57) = 1.16 > 1.0
6. Check operating and transverse earthquake and eccentric loads
(channel/sliding end)
Transverse operating earthquake load on exchangers,
0.7VTEo = 2.37 tons, kips applied at the center of each exchanger
Axial loads at bottom of footingStatic Equipment Foundation Design 227
P
max = Ps + Po = (2.15) + (25.2) = 27.35 tons
From Table 3.25 in Chapter 3, load combination 3
P
min = 0.9(Ps + Po) = (0.9)(2.15 + 25.2) = 24.62 tons
From Table 3.25, load combination 5a, transverse moment at the bottom of footing
MT = + ( . 2 37 0 )[( . . 85 2 45 1 ) ( + + . . . 75 0 85 2 + 45)](0 6 . channne l end
/ mt p
)
+ + ( . 0 108)(2 1 . ) 5 1 ( .95 0 4 . ) 5 1 ( .17 ipe eccentricity
mt
)
= 13 23 .
Soil-bearing check using maximum axial load
e = MT/Pmax = (13.23)/(27.3) = 0.48 m > b/6 = (5.5)/6 = 0.283 m
qmax = 2Pmax/[3a(b/2 − e)] = 2(27.35)/[3(2.45)(1.7/2 – 0.48)] = 20.11 ton/m2
Stability ratio check using minimum axial load
MR = (Pmin)(b/2) = (24.62)(1.7/2) = 20.9 tons
Stability ratio
MR/MTO = 20.9/13.23 = 1.58 > 1.0 OK
7. Check operating and transverse earthquake and eccentric loads
(shell/fixed end)
Transverse operating earthquake load on exchangers
0.7 VTEo = 2.37 tons, applied at the center of each exchanger
Axial loads at bottom of footing
P
max = Ps + Po = (2.15) + (16.8) = 18.95 tons
From Table 3.25, load combination 3
P
min = 0.9(Ps + Po) = (0.9)(18.95) = 17.1 tons
Since the load will be 0.4 at the shell, the overturning moment, MT,
will be less than the above case, thus, this case will be safe.228 Construction Management and Design of Industrial Concrete and Steel Structures
MR = (Pmin)(b/2) = (17.1)(1.7/2) = 14.54 mt
8. Check stability for empty and transverse earthquake and eccentric
loads (channel/sliding end)
Transverse empty earthquake load on exchangers
0.7VTEe = 1.72 tons, applied at the center of each exchanger
Minimum axial load at bottom of footing
P
min = 0.9(Ps + Pe) = (0.9)(2.15 + 18.27) = 18.4 tons
From Table 3.25, load combination 5a, transverse moment at the bottom of footing
MT = (3.79)[(0.85 + 2.45) + (1.7 + 0.85 + 2.45)] (0.6 channel end)
+ (0.108)(2.15)(1.95 + 0.45) + (1.41 pipe eccentricity) = 10.31 mt
Stability ratio check using minimum axial load
MR = (Pmin)(b/2) = (18.4)(1.65/2) = 15.2 tons
Stability ratio
MR/MTO = 15.2/10.31 = 1.47 > 1.0 OK
9. Check stability for empty and transverse earthquake and eccentric
loads (shell/fixed end)
The load will be 0.4 at the shell, so this case is covered by the case
presented in item 7.
10. Check empty, bundle pull, and eccentric loads (channel/sliding end,
top bundle pulled out)
Vertical load from bundle pull on top exchanger
P
B = (8.62)(0.85 + 1.7)/(3.4) = 6.47 tons
Vertical load on sliding end at the top of pier
P
SL = Pe + PB = (18.27) + (6.47) = 24.74 tons
Horizontal load at sliding endStatic Equipment Foundation Design 229
VSL = μ(PSL) = (0.4)(24.74) = 9.9 tons
Note that the horizontal load on the sliding end, computed on the
basis of friction, is greater than half of the total bundle pull (8.62 tons).
Therefore, because the two pedestals and footings are equal in size,
and thus, even in stiffness, the actual horizontal load will be the
same on both pedestals.
VSL = VFX = 8.62/2 piers = 4.31 tons
Maximum axial load at bottom of footing,
P
max = Ps + PSL = (2.15) + (24.75) = 26.9 ton
Load combination 8, as in Table 3.25, moments at the bottom of footing:
ML = (VSL)(8.0) = (4.31)(2.45) = 10.6 mt
MTe (from pipe eccentricity) = 1.41 mt
Soil-bearing check using maximum axial load
qmax
.
. ( . )
( . )
. ( . )
( . )
.
= + +
26 9
2 45 1 7
6 10 6
1 7 2 45
6 1 41
2 2 45( . 5 17)2 = 19 2 . ton/m2
qmax < qall = 25 ton/m2 OK
11. Check stability for empty, bundle pull, and eccentric loads (shell/
fixed end; top bundle pulled out)
Vertical load from bundle pull on the top exchanger
P
B = (8.6)(0.85 + 1.65)/(3.4) = 6.32 tons
Vertical load on fixed end at the top of pier
P
FX = Pe − PB = (12.2) − (6.32) = 5.88 tons
Horizontal load at fixed end
VFX = VSL = 8.62/2 piers = 4.31 tons230 Construction Management and Design of Industrial Concrete and Steel Structures
Minimum axial load at the bottom of footing
P
min = Ps + PFX = (12.56) + (5.88) = 18.44 tons
In this case, as a critical factor in overturning, we add the weight of
the foundation to the pedestal weight.
From Table 3.25, load combination 8, moments at the bottom of
footing
ML = (VFX)(2.45) = (4.31)(2.45) = 10.6 mt
MTe (from pipe eccentricity) = 0.575 mt
Stability ratio check using minimum axial load
MR = Pmin(a/2) = (18.44)(2.45/2) = 22.6 mt
Stability ratio
MR/MTO = 22.6/11.17 = 2.0 > 1.0 OK
The footing dimensions will be 2.45 × 1.7 m, with a thickness 0.5 m.
6.7.4.5 Footing Design
Use load combinations and strength design load factors from Table 3.26. From
the previous analysis for foot sizing, the following are the maximum stresses
on the soil, for operating, thermal, and eccentric loads (channel/sliding end)
(load factors are from Table 3.26 in Chapter 3, load combination 1):
Thermal force at the top of pier
VuThermal = 1.4(VT) = 1.4(10.1) = 14.14 tons
Axial load at the bottom of footing
P
u = 1.4(Ps + Po) = 1.4(2.15 + 25.2) = 38.3 tons
Moments at the bottom of footing
MuL = (VT)(2.45) = (14.14)(2.45) = 34.64 mt
MuTO (from pipe eccentricity) = 1.4(MTO) = 1.66 mtStatic Equipment Foundation Design 231
This value is small with respect to the moment at the bottom.
Maximum factored soil-bearing
eu1 = MuL/Pu = (34.64)/(38.3) = 0.9 m > a/6 = (2.45)/6 = 0.4 m
Because transverse eccentricity is very small, it can be ignored in calculations of factored soil-bearing for the design of footing reinforcing.
S
max = 2(Pu)/(3b)(a/2 − eu1) = (2)(38.3)/(3)(1.7)[(2.45)/2 − (0.9)] = 46.2 ton/m2
Bearing length (longitudinal direction) = 3 (a/2 − eu1)
= 3[(2.45)/2 − (0.9)] = 0.975 m
Factored soil-bearing at the face of the pier (for checking moment) is equal
to zero.
The force effecting moment
F = ½(0.975)(46.2) = 22.5 tons
M = ½(0.975)(46.2)2/3(0.975) = 14.63 mt/m’
Check for two-way action (punching shear) according to ACI 318-08M,
Section 11.12 (at distance d/2 from the face of the pier).
By inspection, the operating weight at the channel end will govern, as
shown in Equation (6.10).
P P P
q P ab
u s o
u
tons
/
= + = =
= =
1 4 1 4 27 3 38 22
38
. ( ) . ( . ) .
( ) ( . ) ( . )( . ) .
( )( . )(
22 2 45 1 7 9 18
1 1 0
/ ton/m2
u u
=
V P = − q d + .. )
. ( . )( . . )( . . ) .
4
38 22 9 18 1 1 0 4 0 4 0 4 27 2
+
= − + + =
d
tons
/
β o
= =
= + + + =
( . ) ( . ) .
( . . ) ( . . )
1 1 0 4 2 75
b 2 1 1 0 4 2 0 4 0 4 44 6
40
0 17 1 2 6
0 1
0 5
.
. ( ( ))( )
.
.
m
/ /
s
c c o
α
β
=
= + ′
=
V f b d
77 1 ( ( + + 2 2. ) 750 27 5 4600 400 10 000 ) ( . )0 5 . ( )( ) ,
=
/ /
283 3 . tons (ACI 318M-08, Equation (11.31))232 Construction Management and Design of Industrial Concrete and Steel Structures
V d c s /b f o c b d o
/
= + ′
=
0 083 2
0 083 40 400
. ( )( )0 5
. [( )( ) (
.
α
4600 2 27 5 4600 400 10 000
440
) ] + ( . ) ( 0 5 . )( ) ,
=
/
tons
ACI 318M-08, Equation (11.32)
V f c c / b d o
/
= ′
= =
( )( )
( )( . ) ( )( )
.
.
1 3
1 3 27 5 4600 400 3
0 5
0 5 21 6 . tons
[ACI 318M-08, Equation (11.33)]
ACI 318-08, Equation (11.31), governs Vc = 283.3 tons
V
n = φVc = 0.75(283.3) = 212.5 tons > Vu = 27.2 tons OK
Design for Moment
The section is subjected to a bending moment, so by applying a procedure
for designing sections for single reinforcement,
ρ = 0.0030,
where ρ = As/bd. It is higher than the minimum reinforcement ratio, which is
0.002 based on ACI 318M-08, Section 7.12.2.
A
s = ρbd = (0.0030)(1100)(400) = 1320 mm2/m
Use 6 ϕ18 mm/m’ (As = 1526 mm2/m’).
Top Steel
From a practical viewpoint, the bottom of the foundation is not in full bearing
for some loading combinations (Figure 6.5). Because the footing is designed
for earthquake loads, ductility is required; therefore, the top of the foundation needs to be reinforced with steel bars. To conservatively calculate the
moment for top steel due to the effect of the weight of the soil and concrete
with a 1.4 load factor, assuming no soil-bearing under the portion of the footing extending from the edge of the pier, the process is as follows:
Factored soil and concrete weight
W
u = (1.4)[(2.5)(0.4) + (2.0)(0.75)] = 2.1 ton/m2
d = 0.35 mStatic Equipment Foundation Design 233
Factored moment at the face of the pier
M
u = (2.1)(1.025)2 (1/2) = 1.1 mt/m’
Design for Moment
From a practical point of view, the steel in the foundation for top or bottom,
by any means, will be not less than 5ϕ12 mm/m’.
6.8 Separator Design Example
A photo of the separator and sketch of the foundation dimensions and steel
reinforcement is presented in Figures 6.6–6.8.
6.8.1 Design Data
Vessel Data
Empty weight = 44.4 tons
Operating weight = 152 tons
Test weight = 178.7 tons
Basic diameter = 3.66 m
Maximum design temperature = 500°F
Vessel material: carbon steel
Bolts: two 25-mm diameter, ASTM F1554, Grade 36 (galvanized) per pier
Bolt spacing: 800 mm, the saddle dimensions are 3.55 × 0.25 m
F
0.975 m
46.2 ton/m2
2.45 m
FIGURE 6.5
Sketch of stresses on foundation.234 Construction Management and Design of Industrial Concrete and Steel Structures
Design Criteria
Concrete, (fc′) = 27.5 N/mm2
Reinforcing, fy = 414 N/mm2
Soil unit weight, γ = 2.0 ton/m3
At a depth of 1.5 m, the allowable net soil-bearing capacity, qall = 0.18 N/ mm2
Wind loads: SEI/ASCE 7–05
FIGURE 6.6
Photo of separator.
6.7 m
1.2 m
1.2 m
2.0 m
12 m
FIGURE 6.7
Sketch of horizontal separator.Static Equipment Foundation Design 235
Earthquake loads: SEI/ASCE 7–05
Use a 20% increase in allowable soil pressure for test load combinations.
6.8.2 Loads Calculation
•	 Empty, operating, and test loads
Include an additional 10% of the applicable weight (empty, operating, or test) to account for piping supported on the horizontal vessel
(refer to PIP Standard STC01015, Section 4.2, “Vertical Loads”):
Total empty load, De = (1.10)(44.4) = 48.84 tons
Total operating load, Do = (1.10)(152) = 167.2 tons
Total test load, Dt = (1.10)(178.7) = 196.6 tons
•	 Transverse moment from pipe eccentricity
Eccentricity = (basic diameter)/2 + (0.45) = (3.6)/2 + (0.45) = 2.25 m
Empty transverse moment per pier, MTe = (44.4)(0.1)(0.5 per pier)(2.25)
= 5.0 mt
Operating transverse moment per pier, MTo = (152)(0.1)(0.5 per pier)
(2.25) = 17.1 mt
0.4
2.0 m
Ties φ 12 mm
every 200 mm
Section A-A
φ 16 mm
φ 20 every
200 mm
3.4 m
2.10 m
3.4 m
0.4 m
1.1 m
0.8 m
A A
FIGURE 6.8
Foundation sketch.236 Construction Management and Design of Industrial Concrete and Steel Structures
Test transverse moment per pier, MTt = (178.7)(0.1)(0.5 per pier)(2.25)
= 20.1 mt
Wind Loads
Wind load calculations are beyond the scope of this practice. Vessel wind is
applied at the center of the vessel.
Transverse wind, Hw = 6.1 tons
Longitudinal wind, Hw = 1.3 tons
Transverse or longitudinal wind on each pier, Hw = 0.37 ton/m2
Thermal Force
1. Compute sliding force (assume that a low-friction manufactured
slide plate assembly is used)
μ = 0.10 (maximum based on manufacturer’s literature)
Operating load at one pier:
Po
= (152)/(2 piers) = 76 tons
Ff = μ(Po) = (0.10)(76) = 7.6 tons
2. Compute force required to deflect pier
Assume pier is 3.7 × 0.35 × 2.0 m
Moment of inertia, I = b(h)3/12 = (3.7)(0.35)3/12 = 0.01322 m4
Based on ACI 318-08, Section 8.5.1
Modulus of elasticity, Ec = 57,000 fc′ = 24,518.4 N/mm2
Thermal expansion coefficient for carbon steel at 500°F, ε =
1.96 mm/m, as obtained from Table 6.1
Thermal growth between saddles, Δ = (ε)(L) = (2.94 mm/m)(6.7) =
19.88
T = 3ΔEI/2H3 = 3(0.0202)(2500000)(0.01322)/2(2.0)3 = 125 tons
Because Ff < T and to reduce high-friction forces, it is advisable to
use a low-friction manufactured slide plate assembly.
6.8.3 Design Elements
Size Low-Friction Manufactured Slide Plate Elements
Upper element width = (saddle width) + 25 mm = 250 + 25 = 275 mm = 300 mm
Lower element width = upper element width − 2Δ − 25 mm = (280) − (2)(20) −
25 ≈ 220 mm
Maximum load on sliding end (from test weight), Pt = (196.6)/(2 piers) =
98.3 tonsStatic Equipment Foundation Design 237
Operating load on sliding end, Po = (167.2)/(2 piers) = 83.6 tons
According to the manufacturer’s recommendations, seven slide plate components are required for each assembly, with the lower element being 220 ×
65 mm and the upper element being 280 × 90 mm.
Total length of lower elements provided = 7(65) = 455 mm
Maximum bearing pressure on elements = (98.3) × 106/[(7)(200)(65)] =
1080.2 ton/m2
Operating bearing pressure on elements = (83.6) × 106/[(7)(200)(65)] =
918.7 ton/m2
From the vendor specifications, we obtain a bearing around μ = 0.055, based
on the bearing load.
Revised operating frictional force, Ff = (0.055)(83.6) = 4.6 tons
Size Steel Bearing Plate
Steel bearing plate dimensions
Width = (lower slide plate element width) + (25) = (200) + (25) = 225 mm
Length = (saddle length) + (25 mm) = (3.55) + (0.025) = 3.6 m
Check bearing stress (test load case)
Pu
= 1.4P
t = 1.4(196.6/2 piers) = 137.6 tons
Based on ACI 318-09 Section 10.17
Pn
= φ0.85 fc′A1 = (0.65)(0.85)(27.5)(225)(3600)/1000 = 12,307 kN = 1255 tons
OK
Choose a bearing plate of dimensions 3.6 × 0.25 × 10 m.
Pier Size
Choose the pier length from:
(c/c bolts) + (2) (minimum anchor bolt edge distance) = (3350) + 2 (125) =
3600 mm
(bearing plate length) + (100) = (3600) + (100) = 3700 mm
Choose a pier length of 3.7 m.
Choose the pier width from:
•	 250 mm
•	 10% of pier height = (0.10)(2.05) = 0.205 m ( based on assumed pier
height)
•	 (2)(5-in. minimum anchor bolt edge distance) = 2 (125) = 250 mm
•	 (bearing plate width) + (100) = (250) + (100) = 350 mm
Choose a pier size with dimensions of 0.35 × 3.7 m.238 Construction Management and Design of Industrial Concrete and Steel Structures
Anchor Bolt Design, Pier Design, and Footing Design
Anchor bolt design, pier design, and footing design are very similar to the
previous example.
6.9 Vertical Vessel Foundation Design
The vertical vessel is usually shown in gas facilities and in refinery plant as
well, the shape of this vertical vessel is shown in Figure 6.9.
6.9.1 Dead Loads
The following nominal loads shall be considered dead loads when applying
load factors used in strength design.
1. Structural dead load, Ds—a vessel’s foundation weight, which is
defined as the combined weight of footing, pedestal dead load (Dp),
and the overburdened soil.
FIGURE 6.9
Photo of vertical vessel.Static Equipment Foundation Design 239
2. Erection dead load, Df—fabricated weight of a vessel, generally taken
from the certified vessel drawing.
3. Empty dead load, De—empty weight of a vessel, including all attachments, trays, internals, insulation, fireproofing, agitators, piping, ladders, platforms, etc. This is generally taken from the certified vessel
drawing.
4. Operating dead load, Do—empty dead load of a vessel plus the maximum weight of its contents (including packing and catalyst) during
normal operation. The operating dead load shall be taken from the
certified vessel drawing and data sheet.
5. Test dead load, Dt—empty dead load of a vessel plus the weight of
the test medium contained in the system. The test medium shall be
as specified in the contract documents.
Unless otherwise specified, a minimum specific gravity of 1.0 shall be used
for the test medium. The cleaning load shall be used for the test dead load if
the cleaning fluid is heavier than the test medium. Whether to test or clean
in the field should be determined. Depending on the design, the test dead
load is generally desirable because unforeseen circumstances may occur.
Eccentric vessel loads caused by large pipes or reboilers shall be considered
for the applicable load cases.
•	 Live Loads
Live loads (L) shall be calculated in accordance with Chapter 3. The
data in Section 3.2.2 are to be considered a guideline if pertinent data
are not available from the client. In general, the live load has a minor
effect with respect to the dead load of the vessel, so it will have less
influence on the design of the vessel, horizontal and vertical.
•	 Wind Loads
Wind loads (W) shall be calculated in accordance with the requirements of the client based on site location, Meteorological and Seismic
Design Data, Structural Design Criteria for Non-Building Structures,
and the guidelines of ASCE presented in Wind Load and Anchor Bolt
Design for Buildings and Other Structures.
The engineer is responsible for determining the wind loads to be
used for the foundation design. The partial wind load (Wp) shall be
based on the requirements of ASCE 37-02 Section 6.2.1, for the specified test or erection duration. The design wind speed shall be 75% of
the actual wind speed.
When calculating or checking wind loads, due consideration shall
be given to factors that may significantly affect total wind loads, such
as the application of dynamic gust factors or the presence of spoilers,
platforms, ladders, piping, etc., on the vessel. If detailed information240 Construction Management and Design of Industrial Concrete and Steel Structures
(number of platforms, platform size, etc.) is unavailable at the time of
foundation design, the following simplified method may be used:
1. For the projected width, add 5 ft (1.52 m) to the diameter of the
vessel, or add 3 ft (0.91 m), plus the diameter of the largest pipe, to
the diameter of the vessel, whichever is greater. This will account
for platforms, ladders, nozzles, and piping below the top tangent
line.
2. The vessel height should be increased by 1 vessel diameter to
account for a large diameter and platform attached above the top
tangent, as is the case with most tower arrangements.
3. The increases in vessel height or diameter to account for wind
on appurtenances should not be used in calculating the h/D ratio
for force coefficients or flexibility.
4. The force coefficient (Cf) should be determined as discussed in
Chapter 3.
5. If most design detail items such as platforms, piping, ladders, and
other accessories of the vessel are known, the detailed method of
the guidelines of the ASCE’s Wind Load and Anchor Bolt Design for
Buildings and Other Structures shall be used.
•	 Earthquake Loads
Seismic forces shall be calculated in accordance with ASCE or UBC
standards, according to the basis of design. The seismic zone will
be defined by the owner based on the site location or from meteorological and seismic design data. The earthquake load (E) is usually
calculated by the vessel vendor. This information should be transferred to the structural engineer to be included in the design of the
foundation.
For a skirt-supported, vertical vessel classified as SUG III in accordance with ASCE 7-02, Section 9, the critical earthquake provisions
and implied load combinations of ASCE 7-02 should be observed, as
illustrated in Chapter 3.
•	 Other Loading
Thrust forces caused by thermal expansion of piping shall be
included in the operating load combinations if deemed advisable.
Dead load factors shall be applied to the resultants of piping thermal
loadings. The pipe stress engineer shall be consulted for any thermal
loads that are to be considered. Consideration shall be given to upset
conditions that could occur and increase loading on the foundation.
•	 Load Combinations
The structure, equipment, and foundations shall be designed for
the appropriate load combinations from ASCE 7-02 and any otherStatic Equipment Foundation Design 241
probable realistic combination of loads. The load combination for
vertical vessels is discussed in Chapter 3. Table 3.23 is a load combination guide for designing by the allowable stress design and
Table 3.24 is a load combination guide to be used in designing by the
strength design method or load resistance factor design.
6.9.2 Pedestal Design
The concrete pedestal dimensions shall be sized as we usually size the foundation based on the available form on site. It is usually accepted that octagon
pedestal dimensions shall be sized with pedestal faces in increments up to
50 mm. The following criteria shall be used to determine the size and shape
for the pedestal. The face-to-face pedestal size shall not be less than the largest of the following:
•	 If you will not use a sleeve, choose the largest between:
D
BC + 250 mm (6.8)
D
BC + 12(d) (for high-strength anchor bolts) (6.9)
•	 If using a sleeve:
D
BC + ds + 11(d) (for high-strength anchor bolts) (6.10)
where
D
BC = Diameter for the circle of bolts (mm)
d = Bolt diameter (mm)
d
s = Sleeve diameter (mm)
Pedestals 1.8 m and larger shall be octagonal. Dimensions for octagon pedestals are provided in Table 6.4. The octagon faces have 50-mm increments to
be matched with the wooden form. If the pedestals are smaller than 1.8 mm,
they shall be square or, if forms are available, round.
Anchorage. It is normally desirable to make the pedestal deep enough to
contain the anchor bolts and keep them out of the footing. Consideration
shall be given to anchor bolt development and foundation depth requirements. Pedestal size may need to be increased to provide adequate projected
concrete area for anchor bolts when additional reinforcement is not used.
Pedestal reinforcement shall be tied to the footing with sufficient dowels
around the pedestal perimeter to prevent separation of the pedestal and footing. Development of reinforcing steel shall be checked. Dowels shall be sized
by computing the maximum tension existing at the pedestal perimeter due
to overturning moments. The following formula may be used conservatively.
More exact tension loads may be obtained by using ACI 318 strength design242 Construction Management and Design of Industrial Concrete and Steel Structures
or BS 8110 methodology based on project specifications and standards. In
this case, we will take ACI 318 equations into consideration.
Tension F
u = 4(Mup)/[(Nd)(DC)] − 0.9[De or Do) + Dp]/Nd (6.11)
where
D
e or Do = Nominal empty or operating vessel weight
Use the empty weight for wind loads. Use the empty or operating weight
for earthquake loads, depending on which condition is used to calculate Mu.
A
s (required) = tension/design stress = Fu/φfv (6.12)
where
F
u = Maximum ultimate tension in reinforcing bar
M
up = Maximum factored overturning moment at base of pedestal,
calculated by using load factors in load combinations for uplift
cases in Table 3.24
Nd = Number of dowels (assumed); shall be a multiple of 8
D
C = Dowel circle diameter (assume a pedestal size minus 150 mm)
D
e + Dp = Nominal empty weight of vessel and pedestal weight
D
o + Dp = Nominal operating weight of vessel and pedestal weight
Φ = Strength reduction factor = 0.90
fy = Yield strength of reinforcing steel
The minimum pedestal reinforcement shall be as follows:
1. Octagons from 1.8 to 2.5 m
A minimum of 16 bars with 12-mm diameter verticals and 10-mm
diameter steel ties at 300-mm maximum spacing.
2. Octagons from 2.5 to 3.5 m
A minimum of 24 bars with 16-mm diameter verticals with 10-mm
diameter steel ties at 300-mm maximum spacing.
3. Octagons larger than 3.5 mm
The minimum bar diameter is 16 mm at 450-mm maximum spacing
with 10-mm ties at 300-mm maximum spacing.
Top reinforcement, a mat of reinforcing steel at the top of the pedestal, shall
be provided. This entails a minimum of steel bars with 12-mm diameter at
300-mm maximum spacing across the flats in two directions only.
Anchor Bolts
Conservatively, the maximum tension on an anchor bolt may be determined
using the following formula. More exact tension loads may be obtained by
using ACI 318 strength design methodology.Static Equipment Foundation Design 243
N
u = 4Mu/[(Nb)(BC)] – 0.9(De or Do)/Nb (6.13)
where
Nu
= Factored maximum tensile load on an anchor bolt
M
u = Factored moment at the base of vessel, calculated using load factors in load combinations for uplift cases in Table 3.24 (Loading
Combinations and Load Factors—Strength Design)
Nb = Number of anchor bolts
B
C = Bolt circle diameter
D
e or Do = nominal empty or operating vessel weight (Use the empty
weight for wind loads. Use the empty or operating weight for
earthquake loads, depending on which condition is used to calculate M
u.)
For most cases, there is no shear on the anchor bolts because the load is
resisted by friction caused primarily by the overturning moment. If friction
cannot resist the load, the bolts shall be designed to resist the entire shear
load, or other methods may be used to resist the shear load. The friction
resistance can be calculated using the following formulas:
P
u = Mu/LA + 0.9(De or Do) (6.14)
Vf = μ (6.15)
where
Pu
= Factored compression force at top of pedestal
L
A = Lever arm between centroid of tension loads on bolts and centroid of
the compression load on the pedestal. This is a complicated distance
to determine exactly. A conservative approximation is to use 2/3 of
the bolt circle diameter as the lever arm
μ = Coefficient of friction. For the normal case of grout at the surface of
pedestal, μ = 0.55
Vf = Frictional resisting force (factored)
If there is no shear load on the bolts, then
V
u ≤ φVf
where
Vu
= Factored shear load at base of vessel, calculated using load factors in
load combinations for uplift cases in Table 3.24 for load combination
for strength design
Φ = Strength reduction factor = 0.75244 Construction Management and Design of Industrial Concrete and Steel Structures
6.9.3 Footing Design
The size of spread footings may be governed by stability requirements, sliding, soil-bearing pressure, or settlement. Footings for vertical vessels shall be
octagonal or square and sized based on standard available form sizes. When
form information is not available, footing dimensions shall be sized with
footing faces in 50-mm increments to allow use of standard manufactured
wooden forms. Octagons in Table 6.4 are those having faces in 2-in. increments. If extended to the recommended depth specified in the geotechnical
report, the pedestal may be adequate without a footing. Footings smaller
than 2.0 m in diameter shall be square.
Where a footing is required, the footing thickness shall be a minimum
of 300 mm. The footing thickness shall be adequate to develop pedestal
reinforcement and satisfy the shear requirements of ACI 318. The footing
thickness shall also be checked for top tension without top reinforcement
in accordance with ACI 318. If the thickness is not adequate, either a thicker
footing or top reinforcing steel is required. Note that increasing the footing
thickness is typically more cost-effective for construction than adding a top
mat of reinforcing steel except where seismic effects create tensile stresses
requiring top reinforcement.
For the first trial, the diameter (D) of an octagonal footing may be approximated by the following formula:
D = 2.6(Mftg/q)1/3 (6.16)
where
M
ftg = Nominal overturning moment at base of footing (mt)
qall = Allowable gross soil-bearing (ton/m2)
A common assumption in the design of soil-bearing footings is that the
footing behaves as a rigid unit. Hence, the soil pressure beneath a footing
is assumed to vary linearly when the footing is subjected to axial load and
moment. The ensuing footing formulas are based on the linear pressure
assumption.
Footings shall be designed so that, under sustained loads (operating loads),
the total settlement and the differential settlement between footings do not
exceed the established limits. The maximum allowable amount of total settlement and differential settlement is typically set by the project’s structural
engineer based on the sensitivity of the equipment or structure being supported and the piping connected to the equipment. So, there must be agreement by the structural engineer and the piping stress analysis engineer.
6.9.4 Soil Bearing on the Octagon Footing
The octagon shape has its own characteristic when we go through calculating the soil stresses (Tables 6.6 and 6.7; and also as presented in Table 6.10).Static Equipment Foundation Design 245
TABLE 6.6
Various Dimensions for Octagonal Pedestal
D (m) B (m) C (m) E (m) Area (m2) Ze (m3)
1.81 0.53 0.75 1.96 2.72 0.60
1.93 0.57 0.80 2.09 3.09 0.73
2.05 0.60 0.85 2.22 3.49 0.87
2.17 0.64 0.90 2.35 3.91 1.04
2.29 0.67 0.95 2.48 4.36 1.22
2.41 0.71 1.00 2.61 4.83 1.42
2.53 0.74 1.05 2.74 5.32 1.65
2.66 0.78 1.10 2.87 5.84 1.89
2.78 0.81 1.15 3.01 6.39 2.16
2.90 0.85 1.20 3.14 6.95 2.46
3.02 0.88 1.25 3.27 7.54 2.78
3.14 0.92 1.30 3.40 8.16 3.13
3.26 0.95 1.35 3.53 8.80 3.50
3.38 0.99 1.40 3.66 9.46 3.91
3.50 1.03 1.45 3.79 10.15 4.34
3.62 1.06 1.50 3.92 10.86 4.80
3.74 1.10 1.55 4.05 11.60 5.30
3.86 1.13 1.60 4.18 12.36 5.83
3.98 1.17 1.65 4.31 13.15 6.39
4.10 1.20 1.70 4.44 13.95 6.99
4.22 1.24 1.75 4.57 14.79 7.63
4.35 1.27 1.80 4.70 15.64 8.30
4.47 1.31 1.85 4.83 16.53 9.01
4.59 1.34 1.90 4.96 17.43 9.76
4.71 1.38 1.95 5.10 18.36 10.55
4.83 1.41 2.00 5.23 19.31 11.39
4.95 1.45 2.05 5.36 20.29 12.26
5.07 1.48 2.10 5.49 21.29 13.18
5.19 1.52 2.15 5.62 22.32 14.14
5.31 1.56 2.20 5.75 23.37 15.15
5.43 1.59 2.25 5.88 24.44 16.21
5.55 1.63 2.30 6.01 25.54 17.32
5.67 1.66 2.35 6.14 26.66 18.47
5.79 1.70 2.40 6.27 27.81 19.67
5.91 1.73 2.45 6.40 28.98 20.93
6.04 1.77 2.50 6.53 30.18 22.24
6.16 1.80 2.55 6.66 31.40 23.60
6.28 1.84 2.60 6.79 32.64 25.01
6.40 1.87 2.65 6.92 33.91 26.48
6.52 1.91 2.70 7.06 35.20 28.01
6.64 1.94 2.75 7.19 36.51 29.60
6.76 1.98 2.80 7.32 37.85 31.24246 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 6.7
More Various Dimensions for Octagonal Pedestal
D (m) B (m) C (m) E (m) Area (m2) Ze (m3)
6.88 2.02 2.85 7.45 39.22 32.95
7.00 2.05 2.90 7.58 40.61 34.71
7.12 2.09 2.95 7.71 42.02 36.54
7.24 2.12 3.00 7.84 43.46 38.43
7.36 2.16 3.05 7.97 44.92 40.38
7.48 2.19 3.10 8.10 46.40 42.40
7.60 2.23 3.15 8.23 47.91 44.48
7.73 2.26 3.20 8.36 49.44 46.63
7.85 2.30 3.25 8.49 51.00 48.86
7.97 2.33 3.30 8.62 52.58 51.14
8.09 2.37 3.35 8.75 54.19 53.50
8.21 2.40 3.40 8.88 55.82 55.94
8.33 2.44 3.45 9.02 57.47 58.44
8.45 2.47 3.50 9.15 59.15 61.02
8.57 2.51 3.55 9.28 60.85 63.67
8.69 2.55 3.60 9.41 62.58 66.40
8.81 2.58 3.65 9.54 64.33 69.21
8.93 2.62 3.70 9.67 66.10 72.09
9.05 2.65 3.75 9.80 67.90 75.05
9.17 2.69 3.80 9.93 69.72 78.09
9.29 2.72 3.85 10.06 71.57 81.22
9.42 2.76 3.90 10.19 73.44 84.42
9.54 2.79 3.95 10.32 75.34 87.71
9.66 2.83 4.00 10.45 77.25 91.08
9.78 2.86 4.05 10.58 79.20 94.54
9.90 2.90 4.10 10.71 81.17 98.09
10.02 2.93 4.15 10.84 83.16 101.72
10.14 2.97 4.20 10.98 85.17 105.44
10.26 3.01 4.25 11.11 87.21 109.25
10.38 3.04 4.30 11.24 89.28 113.15
10.50 3.08 4.35 11.37 91.37 117.15
10.62 3.11 4.40 11.50 93.48 121.23
10.74 3.15 4.45 11.63 95.61 125.41
10.86 3.18 4.50 11.76 97.78 129.69
10.98 3.22 4.55 11.89 99.96 134.06
11.11 3.25 4.60 12.02 102.17 138.53
11.23 3.29 4.65 12.15 104.40 143.09
11.35 3.32 4.70 12.28 106.66 147.76
11.47 3.36 4.75 12.41 108.94 152.52
11.59 3.39 4.80 12.54 111.25 157.39
11.71 3.43 4.85 12.67 113.58 162.36
(continued)Static Equipment Foundation Design 247
A D
C
= =
= =
Area (m )
Length of side
2 0 8284272
0 41421
2
.
. 36
45 0 2928932
1
D
B C D
E
= ⋅ ° =
= =
sin .
Length of diameter .0823922D
S D d = = Sec. mod. diameter (m3) 0.1011422 3
f d Sec. mod. flat /
Moment of inertia
S S E D
I
= =
= =
( )
SdS E ( ) /2
Soil-bearing pressure shall be checked for maximum allowable on the
diagonal. Soil-bearing pressure used for footing design shall be computed
on the flat.
Where the total octagonal footing area is in compression (e/D ≤ 0.122 on
the diagonal and e/D ≤ 0.132 on the flat), the soil-bearing pressure shall be
computed using the following formulas:
q = (P/A) ± Mftg/s (6.17)
q (diagonal) = P/A ± Mftg/SDiagonal (6.18)
q (diagonal) = P/A [1 ± (8.19e/D)] (6.19)
q (flat) = P/A ± Mftg/SFlat (6.20)
q (flat) = P/A [1 ± (7.57e/D)] (6.21)
where
D = Distance between parallel sides (m)
q = Toe pressure (ton/m2)
P = Nominal total vertical load including soil and foundation (tons)
A = Bearing area of octagonal footing (0.828D2) (m2)
M
ftg = Nominal overturning moment at base of footing (mt)
S = Section modulus (m3)
TABLE 6.7 Continued
More Various Dimensions for Octagonal Pedestal
D (m) B (m) C (m) E (m) Area (m2) Ze (m3)
11.83 3.46 4.90 12.80 115.93 167.44
11.95 3.50 4.95 12.93 118.31 172.61
12.07 3.54 5.00 13.07 120.71 177.90248 Construction Management and Design of Industrial Concrete and Steel Structures
S
Diagonal = 0.1011422D3
SFlat = 0.10948 D3
e = Eccentricity (Mftg/P) (m)
The total octagonal footing area is not in compression if the following condition is verified:
e/D > 0.122 on the diagonal
and
e/D > 0.132 on the flat
Soil-bearing pressure shall be computed using Figure 6.10 and the following
formula:
q = LP/A (6.22)
where the value of L is obtained from Figure 6.10b.
The e/D ratios for octagon footings may exceed the limits because of the
load factors in strength design. L and K values for these conditions are tabulated in Table 6.5 for lateral loads perpendicular to a face. These values shall
be used for calculating moments and shears in the footing. They shall not be
used to check soil-bearing pressures (Figure 6.11).
From Table 6.8, for (e/D) values greater than or equal to 0.500, assume soilbearing to be a line load with a length equal to the face dimension of the octagon footing, applied at a distance of (e) from the centerline of the footing.
B B C
D
E
22.5°
FIGURE 6.10
Octagon propertied dimensions.Static Equipment Foundation Design 249
6.9.5 Check Stability and Sliding
All foundations subject to buoyant forces shall be designed to resist a uniformly distributed uplift equal to the full hydrostatic pressure. The minimum safety factor against flotation shall be 1.20, considering the highest
anticipated water level. The stability ratio shall be defined as, The ratio of the
resisting moment to overturning moment about the edge of rotation.
D
q
KD
q = L(P/A)
e
FIGURE 6.11
Pressure distribution under foundation.
TABLE 6.8
Foundation Pressures for Octagon Bases for Large Eccentricities at the Face
e/D K L e/D K L e/D K L
0.15 0.05 2.2 0.28 0.45 4.0 0.41 0.76 12.2
0.16 0.09 2.2 0.29 0.48 4.2 0.42 0.79 14.0
0.17 0.13 2.3 0.30 0.49 4.5 0.43 0.81 16.3
0.18 0.16 2.4 0.31 0.52 4.8 0.44 0.84 19.4
0.19 0.19 2.5 0.32 0.55 5.2 0.45 0.86 23.8
0.20 0.22 2.6 0.33 0.57 5.6 0.46 0.89 30.4
0.21 0.25 2.8 0.34 0.60 6.0 0.47 0.92 41.5
0.22 0.28 2.9 0.35 0.62 6.6 0.48 0.94 63.6
0.23 0.3 3.0 0.36 0.64 7.2 0.49 0.97 130.2
0.24 0.34 3.2 0.37 0.67 7.8 0.50 a a
0.25 0.37 0.40 0.38 0.69 8.7 >0.50 a a
0.26 0.40 3.6 0.39 0.71 9.6
0.27 0.42 3.8 0.40 0.74 10.8
a For e/D values greater or equal to 0.500, assume soil bearing as a line load with a length equal
to the face dimension of the octagon footing applied at a distance of (e) from the centerline of
the footing.250 Construction Management and Design of Industrial Concrete and Steel Structures
The minimum stability safety factor against overturning for service loads
other than earthquake shall be 1.5. Compute the stability factor of safety
ratio, FS, using the following formula:
F
S = MR + MOT (6.23)
where
MR = resistance moment
MOT = overturning moment
The moment and loads shall be factored in accordance with the load combinations in Table 3.23 for the allowable stress design (service loads).
Eccentricity, e = ΣMOT/ΣP
Resisting moment, MR = ΣP × D/2
D = dimension of footing in the direction of the overturning moment (m)
e = eccentricity (m) = overturning moment at the base of the footing
divided by the total vertical load (m)
Hence, the stability factor of safety can be calculated from the following
equation:
F
S = D/2e
6.9.6 Check for Foundation Sliding
The minimum safety factor against sliding for service loads other than earthquake shall be 1.5. The coefficient of friction used in computing the safety
factor against sliding for cast-in-place foundations shall be 0.40, unless specified otherwise in a detailed soil investigation. The passive earth pressure
from backfill shall not be considered in computing these safety factors.
The minimum overturning “stability ratio” and the minimum factor of
safety against sliding for earthquake service loads shall be 1.5. The minimum overturning stability factor of safety for the anchorage and foundations of skirt-supported, vertical vessels classified as SUG III, in accordance
with ASCE 7-02, shall be 1.2.
6.9.7 Reinforced Concrete Design
Reinforced concrete design using factored strength design loads shall be in
accordance with the relevant design code used in the project. The critical section for moment shall be taken with respect to the face of a square with an
area equivalent to that of the pedestal.
Moment shall be checked at the face of the equivalent square. Moment
shall be calculated for a 1-m-wide strip as a simple cantilever from the edge
of the equivalent square.Static Equipment Foundation Design 251
Based on ACI 318-08, the punching shear may need to be checked under
certain circumstances. The resulting reinforcing steel shall be placed continuously across the entire footing in a grid pattern, the minimum bottom
reinforcement being 12-mm bars at 200-mm spacing in each way. The minimum amount of bottom steel shall be according to ACI Code Section 10.5.4,
by which this percentage depends on the grade of steel bars.
6.9.7.1 Top Reinforcement
Except where seismic effects create tensile stresses, top reinforcement in the
footing is not necessary if the factored tensile stress at the upper face of the
footing does not exceed the flexural strength of structural plain concrete, as
discussed in Section 6.6.2 and applied in Equation (6.6).
The effective thickness of the footing for tensile stress calculations should
be 50 mm less than the actual thickness for footings cast against soil. For
footings cast against a seal slab, the actual thickness of the footing may be
used for the effective thickness. If the factored tensile stress exceeds the flexural strength of structural plain concrete, top reinforcement should be used
if an increase in the footing thickness is not feasible. See the following formulas for footing thicknesses that do not require top reinforcing steel.
For footings cast against soil:
t = t
c + 50 mm (6.24)
For footings cast against a seal slab:
t = t
c (6.25)
with teff calculated as follows:
t
c = (6Mu/ft′)1/2 (6.26)
where
t = Required footing thickness with no top reinforcing steel (m)
t
c = Calculated footing thickness (m)
M
u = Factored moment caused by the weight of soil and concrete acting on
a 1-m strip in the footing at the face of the equivalent square pedestal
(mt/m’), calculated using a load factor of 1.4
f′ = Flexural strength of structural plain concrete (ton/m2)
6.9.7.2 Shear Consideration
Both wide-beam and two-way action (punching shear) must be checked
to determine the required footing depth. Shear, as a measure of diagonal252 Construction Management and Design of Industrial Concrete and Steel Structures
tension, shall be checked at the critical section specified in ACI 318-02, Section
11.1.3.1 (at a distance d from the face of the equivalent square). The shear shall
be calculated for a 1-ft-wide strip, as a simple cantilever from the edge of the
equivalent square. Beam action assumes that the footing acts as a wide beam
with a critical section across its entire width.
Punching shear may need to be checked in some situations in accordance
with ACI 318-08. Two-way action (at a distance d/2 from the face of the equivalent square) for the footing checks “punching” shear strength. The critical section for punching shear is a perimeter around the supported member
with the shear strength computed in accordance with the ACI code.
For footing design, an appropriate depth must be selected so that shear
reinforcement is not required. If either permissible shear is exceeded, the
thickness of the footing must be increased. The shear strength equations
may be summarized as follows based on ACI318-08:
•	 For beam action
V V u n ≤ ≤ φ φ( ) 0.17 f b c w ′ d
where
b
w = Critical width
d = Beam depth
•	 For two-way action
Vu
≤ the least of the following values:
0 1 . ( 7 1+ ( ) 2/β ) f b c o ′ d
0 083 2 . (αs o d b / + ) f b c o ′ d
1 3 / f b c o ′ d
where
β = Ratio of long side to short side of the column, concentrated load, or
reaction area
α
s for interior columns
30 for edge columns
===
40
20 for corner columns
B
o = Perimeter of critical sectionStatic Equipment Foundation Design 253
6.10 Example for Vertical Vessel
The example for vertical vessel present in Figure 6.12 and the foundation
plan view and steel detail is presented in Figure 6.13.
6.10.1 Design Data
Vessel Data
Empty weight, De = 77.24 tons
Operating weight, Do = 156.57 tons
Test weight, Dt = 283 tons
Structural Data
Allowable soil-bearing = 1.589 kg/cm2 = 15.9 ton/m2
γ = 2.0 ton/m3
fc′ = 30 N/mm2
fy = 420 N/mm2
6.6 m
5.4 m
0.45
1.4 m 25 m
300 mm
Insulation with
thickness 600 mm
4.5 m
FIGURE 6.12
Sketch for vertical vessel.254 Construction Management and Design of Industrial Concrete and Steel Structures
Wind Load
In accordance with SEI/ASCE 7-02,
V = 115 mph
V = 20.3 tons
M = 262.94 mt (at top of grout)
Anchor Bolts
65-mm, ϕ type, ASTM F1554, Grade 36, with a 100 mm ϕ × 400 mm long
sleeve and 350-mm projection on 4.53 m ϕ bolt circle (nonpretensioned).
6.10.2 Pedestal Design
Pedestal Dimensions and Weight
D
BC + 250 mm = 4530 + 250 mm = 4780 mm
D
BC + 8(BD) = 4530 + 8(40) = 4850 mm
D
BC + SD + 250 mm − BD = 4530 + 100 + 250 − 40 = 4840 mm
B
C + SD + 7 (BD) = 4530 + 100 + 7 (40) = 4910 mm controls
6.7 m
5.4 m
2.74 m
2.24 m
A A
0.45 m
1.37 m
Grouting 25 mm
φ 16 mm
FIGURE 6.13
(a) Plan view. (b) Section A–A.Static Equipment Foundation Design 255
Use a 4910-mm octagon.
Note: Pedestal diameter had to be increased to 5.40 m to provide a sufficiently large projected concrete failure area to resist the tensile load in the
anchor bolts. Alternatively, additional reinforcing steel may be used to transfer anchor bolt forces to concrete.
Pedestal Reinforcement
Pedestal area = 24.13 m2, in accordance with Table 6.6
Pedestal weight, Dp = (24.13 m2)(1.4 m)(2.5 ton/m3) = 84.5 tons
M
ped = Over turning moment (OMT) at pedestal base = (262.94 mt) + (1.4 m)
(20.3 tons) = 291.36 mt
M
uped = 1.6 Mped = 1.6(291.36 mt) = 466.176 mt
Load factors shall be in accordance with Table 3.24, load combination 4
Assume the number of dowels, Nd = 40
D
C = (5.4) – (0.15) = 5.25 m
D D
e p empty weight of vessel pedestal weight
77
+ = +
= .24 79.51 + = 156 75. tons
F M N D D D N
u u = − ped d C e + p d /
=
4 0 9
4 466 176
( ) [( )( )] . ( )
( . ) [(( ) ( . )] . ( . )
.
40 5 25 0 9 156 75 40
5 35
−
=
/
tons
A F s u fy
2
/
/ mm
=
= =
ϕ
( . 5 35 0 ) ( . ) 9 0 ( .42 141 5 ) .
Choose 40 dowels 16 mm in diameter (As = 201 mm2) with 12-mm diameters at 350 mm c/c (minimum reinforcement controls).
6.10.3 Anchor Bolt Check
Maximum Tension on Anchor Bolt
N M N B D N
u u = − b C e b /
=
4 0 9
4 1 6 262 94 2
[( )( )] . ( )
[( . )( . )] [( 44 453 0 9 77 24 24
12 58
)( . )] . ( . )
.
−
=
/
tons
Load factors shall be in accordance with Table 3.24, load combination 4
Maximum Shear on Anchor Bolt
Vu
at base top of the grout = 1.6(20.3) = 32.48 tons256 Construction Management and Design of Industrial Concrete and Steel Structures
Check whether shear load can be taken by friction between the base of the
vessel and the top of the grout.
Pu
= M
u/NLA + 0.9(De)
Choose LA = 2/3BC as a conservative measure
L
A = 2/3 × 4.53 = 3.0 m
Pu
= 1.6 × (262.9/3) + 0.9 × (77.24) = 209.73 tons
Vf = μPu = (0.55)(209.73) = 115.4 tons
φVf = (0.75)(115.4) = 86.55 > 32.48 tons
Therefore, anchor bolts are not required to resist shear.
Projected Concrete Failure Area
Often, several iterations were required to determine that D = 4.9 m would not
provide enough projected concrete failure area to resist the maximum tensile
load on the anchor, Nu, equal to 12.58 tons, regardless of whatever embedment depth, ldh, was used. To save space, these trial calculations are not
shown here. Reinforcing steel either should be added to transfer the tensile
load from the anchor bolts to the pedestal or the pedestal diameter should be
increased. This second alternative is shown here.
Try increasing D to 5.4 mm.
6.10.4 Footing Design
Select a Trial Octagon Size
M
ftg = OTM at footing base = (262.94) + (1.85)(20.3 tons) = 300.5 mt
qall = 15.9 ton/m2
Trial diameter = (2.6)(Mftg/q)1/3 = 6.6 m
A 6.7-m octagon area = 37.1 m2
Check Required Thickness for Pedestal Reinforcing Embedment
For a 16-mm hooked bar based on ACI 318M-08, the development length will
be calculated from the following equation:
l f dh = [(0 2 . ) 4Ψ y λ( ) f d c b ′ 0 5 . ]( ) (Section 12.5.2)
where
Ψ = 1.2, if epoxy coated; 1.0, if not coated
λ = 1 for normal concrete
ldh = 308 mm
tf = 308 + 2 (20 mm bars) + (75 mm cover) = 423 mm
Assume the foundation thickness, tf = 450 mm.Static Equipment Foundation Design 257
Footing Weights
Weight of pedestal, Dp = 24.13 × 1.4 × 2.5 = 84.5 tons
The maximum normal force is usually due to the hydrostatic test load if it is
water.
Total (Ds) = 84.5 tons
P
t = Dt + Ds = 283 + 84.5 = 367.5 tons
Check Soil-Bearing and Stability
•	 Empty + Wind (using Table 3.23, load combination 3)
P = P
e = 77.24 + 84.5 = 161.74 tons
M
ftg = 291.36 mt
e = M
ftg/P = (291.36)/(161.74) = 1.8 m
Stability ratio
D/2e = (21.73 ft)/[2(4.48 ft)] = 2.43 > 1.5 ∴ OK
Stability ratio
D/2e = (6.6)/[2(1.8)] = 1.83 > 1.5 ∴ OK
e/D = (1.8)/(6.6) = 0.27 > 0.122 ∴ Ldiag = 2.85
From Figure 6.13,
q = LP/A = (2.85)(161.74)/(37.1) = 12.4 ton/m2 <15.9 ton/m2 ∴ OK
•	 Operating + wind (using Table 3.23, load combination 2)
P = P
o = 241.1 tons
M
ftg = 300.5 mt
e = M
ftg/P = (300.50/(241.1) = 1.25 m
e/D = (1.25)/(6.6) = 0.189 > 0.122 ∴ Ldiag = 2.25
From Figure 6.13,
q = LP/A = (2.25)(241.1)/(36.33) = 14.93 ton/m2 < 15.1 ton/m2 OK
•	 Test + partial wind (using Table 3.23, load combination 6)
P = P
t = 367.5 tons
Partial wind velocity = 68 mph
M
ftg = (68 mph/115 mph)2(300.5) = 105.1 mt
e = M
ftg/P = 105.1/367.5 = 0.29 m
e/D = 0.29/6.7 = 0.04 < 0.122
q = P/A[1 + (8.19)(e/D)]
= [(367.5)/(35.2)][1 + (8.19)(0.037)]
= 13.6 ton/m2 < 15.9 ton/m2 ∴ OK
Choose a 6.6-m octagon.258 Construction Management and Design of Industrial Concrete and Steel Structures
Bottom Reinforcement
•	 Operating + wind (using Table 3.24, load combination 3)
[1.2(Ds + Do) + 1.6W]
P
u = 1.2(241.1) = 289.32 mt
M
u = 1.6(300.5) = 480.8 mt
e = M
u/Pu = 480.8/289.32 = 1.66 m
e/D = 1.66/6.6 = 0.25 > 0.132
L = 2.70 (flat), K = 0.225 (flat) (using Table 6.8)
KD = (0.225)(6.6) = 1.5
q = LP/A = (2.7)289.32/36.33 = 21.5 ton/m2
Find an equivalent square for pedestal:
Side 2 = 24.13 m2 = 4.9 m
Projection = (6.6 − 4.9)/2 = 0.85 m
On the face of an equivalent square:
q = 21.5 (5.13 − 0.85)/(5.13) = 17.94 ton/m2
M = + 17 94 0 85 − =
2
21 5 17 9 0 85
3
7 34
. ( . )2 2 ( . . )( . )
. mt
•	 Empty + Wind (using Table 3.24, load combination 4)
[0.9(De + Ds) + 1.6W]
P
u = 0.9(77.24 + 84.5) = 145.6 tons
M
u = 1.6 (300.5) = 480.8 mt
e = M
u/Pu = (480.8)/(145.6) = 3.3 m
e/D = (3.3)/(6.6) = 0.5 > 0.132 (flat)
L = 7.63 (flat), K = 0.660 (flat) (using Table 6.8)
KD = (0.660)(6.6) = 4.4 m
q = LPu/A = (7.63)(145.6)/(36.33) = 30.6 ton/m2
Find an equivalent square for pedestal
On the face of an equivalent square, q = (30.6)(2.2 − 0.85)/(2.2)
= 18.8 ton/m2
M = + 18 8 0 85 − =
2
30 6 18 8 0 85
3
9 63
. ( . )2 2 ( . . )( . )
. mt
Designing the Concrete Section Based on ACI
For the section, M = 9.63 mt.
Choose bars 20-mm in diameter at intervals of 200 mm.Static Equipment Foundation Design 259
Checking Shear
•	 Beam shear
Apply the case of Empty + Wind
q = 30.6 ton/m2 at the edge
q = 18.8 ton/m2 at the face of pedestal
V
u = 0.85 [(30.6 + 18.8)/2] = 21 ton/m2
φ φ V f n cb d w
/
= ′
=
( . )
. ( . )( ) . ( )( )
0 17
0 75 0 17 30 0 5 1000 400 10 000 27 9 , . = > ton/m O 2 Vu K
•	 Punching Shear
The punching shear will be calculated in case of test load and the
load combination as shown in Table (3.24) load combination 7.
P
u = 1.4(283) = 396.2
The length of the new octagon with D = (4.9 + 0.4) = 5.3 m
b
o = 17.6 m
V
u = 396.2/(17.6)(0.4) = 56.3 ton/m2 = 0.55 N/mm2
V
u ≤ minimum of the following
1. 0 1 . ( 7 1 + ( / 2 β)) fc′
ϕVn = 0.75(0.17)(1 + (2/1))(30)0.5) = 2.1
2. 0 083 2 . (αs o d b / + ) fc′
ϕVn = (0.75)(0.083)(40 (400/21,200) + 2)(30)0.5 = 0.94 N/mm2 ≤ Vu OK
3. 1 3 f b c o ′ d
ϕVn = (0.75)(1/3) × (30)0.5 = 1.35 N/mm2
6.11 Pipe Support
The pipe is usually obtained by the pipeline stress analysis engineer, but
the following equations and tables provide guidelines for choosing the pipe260 Construction Management and Design of Industrial Concrete and Steel Structures
span. The maximum allowable span depends on the bending stress, vertical
deflection, and natural frequency.
The formulation and equation obtained depend on the end conditions.
Assuming a straight pipeline with simple support at both ends gives a higher
stress and sag and, therefore, results in a conservative span.
L ZS
w
=
0 33.
(stress limitation)
L EI
w
=
∆
22 5
4
.
(deflection limitation)
For less conservative spans, the end condition may be assumed as between
simple support at both ends and fixed condition at both ends.
L ZS
w
=
0 4 .
(stress limitation)
L EI
w
=
∆
13 5
4
.
(deflection limitation)
where
L = Allowable pipe span (m)
Z = Modulus of pipe sections
S = Allowable tensile stress for the pipe materials at design temperature
(known as allowable hot stress)
W = Total weight of the pipe, which is equal to the summation of the pipe
self-weight, content weight, and insulation weight
Δ = Deflection
I = Moment of inertia
E = Modulus of elasticity of the pipe material at design temperature
Natural Frequency
For most refinery piping, a natural frequency of about 4 cycles per second
(cps) is sufficient to avoid resonance in nonpulsating pipelines. However, the
natural frequency in cps is related to the maximum deflection, as in the following equation:
fn = 1
2π
g ∆
where
g = gravity acceleration
fn = natural frequencyStatic Equipment Foundation Design 261
The deflection is limited to 25 mm. The reason for limiting the deflection is
to provide a sufficiently stiff pipe with a sufficiently high natural frequency
to avoid large amplitudes under any small disturbing force. From a practical
point of view, it seems too low as the natural frequency will be higher for the
following reasons:
1. End moments are neglected in the above equation, which will raise
the natural frequency by more than 15%.
2. The critical span is usually limited by stress and is rarely reached.
3. The piping weight assumption is often larger than the actual load.
TABLE 6.9
Maximum Spans of Horizontal Pipe Lines (ft)
Schedule Limit
Pipe Size (in.)
1 1.5 2 3 4 6 8 10 12 14 16 18 20 24
Schedule 10 L 13 15 17 20 22 25 29 30 32 37 38 39 39 41
L′ 13 16 18 21 24 28 31 34 37 41 42 44 46 48
Schedule 20 L 33 35 36 39 41 42 45 47
L′ 33 37 39 42 44 46 49 52
Schedule 30 L 34 37 39 42 43 46 49 52
L′ 34 38 41 43 45 48 51 55
Standard L 13 16 18 23 26 31 35 38 41 42 43 44 45 47
L′ 13 16 18 23 26 31 35 38 41 43 45 47 49 52
Schedule 40 L 13 16 18 23 26 31 35 38 41 43 46 49 51 56
L′ 13 16 18 23 26 31 35 38 42 44 45 50 52 57
Schedule 60 L 36 40 43 46 49 52 55 60
L′ 35 39 43 45 48 51 54 59
Extra strong L 13 17 19 24 27 33 37 41 43 44 46 48 49 51
L′ 13 17 19 23 26 32 36 40 43 44 46 49 51 54
Schedule 80 L 13 17 19 24 27 33 37 42 46 48 52 55 58 63
L′ 13 17 19 23 26 32 36 40 44 46 50 52 55 61
Schedule 100 L 38 43 47 49 53 56 59 65
L′ 37 41 45 47 50 53 56 51
Schedule 120 L 28 34 39 44 48 51 54 57 61 67
L′ 27 32 37 41 45 47 51 54 57 62
Schedule 140 L 28 34 39 44 49 51 54 58 61 67
L′ 27 33 37 42 45 48 51 54 57 62
Schedule 160 L 13 17 20 25 29 35 40 45 49 51 55 58 62 68
L′ 13 17 19 23 27 33 37 42 45 48 51 54 57 63262 Construction Management and Design of Industrial Concrete and Steel Structures
Table 6.9 provides a quick reference for values of span, based on the following assumptions:
•	 Pipe material is A53-grade carbon steel and Table 6.9 (see also
Table 6.10) applies conservatively to all steels.
•	 The temperature ranges from 0°F to 650°F. At 650°F, S = 12,000 psi,
the modulus of elasticity E = 25.2 × 106 from piping code.
•	 Assumes the fluid is water.
•	 Assumes the density of insulation is 11 lb/ft3.
•	 The thickness of insulation is 1.5 in. for ¼-in pipe, 2.0 in. for 6/14-in.
pipe, and 2.5 in. for 16/24-in pipe.
TABLE 6.10
Maximum Spans of Horizontal Pipe Lines (m)
Pipe Size (in.)
Schedule Limit 1 1.5 2 3 4 6 8 10 12 14 16 18 20 24
Schedule 10 L 4.0 4.6 5.2 6.1 6.7 7.6 8.8 9.1 9.8 11.3 11.6 11.9 11.9 12.5
L′ 4.0 4.9 5.5 6.4 7.3 8.5 9.4 10.4 11.3 12.5 12.8 13.4 14.0 14.6
Schedule 20 L 0.0 0.0 0.0 0.0 0.0 0.0 10.1 10.7 11.0 11.9 12.5 12.8 13.7 14.3
L′ 0.0 0.0 0.0 0.0 0.0 0.0 10.1 11.3 11.9 12.8 13.4 14.0 14.9 15.8
Schedule 30 L 0.0 0.0 0.0 0.0 0.0 0.0 10.4 11.3 11.9 12.8 13.1 14.0 14.9 15.8
L′ 0.0 0.0 0.0 0.0 0.0 0.0 10.4 11.6 12.5 13.1 13.7 14.6 15.5 16.8
Standard L 4.0 4.9 5.5 7.0 7.9 9.4 10.7 11.6 12.5 12.8 13.1 13.4 13.7 14.3
L′ 4.0 4.9 5.5 7.0 7.9 9.4 10.7 11.6 12.5 13.1 13.7 14.3 14.9 15.8
Schedule 40 L 4.0 4.9 5.5 7.0 7.9 9.4 10.7 11.6 12.5 13.1 14.0 14.9 15.5 17.1
L′ 4.0 4.9 5.5 7.0 7.9 9.4 10.7 11.6 12.8 13.4 13.7 15.2 15.8 17.4
Schedule 60 L 0.0 0.0 0.0 0.0 0.0 0.0 11.0 12.2 13.1 14.0 14.9 15.8 16.8 18.3
L′ 0.0 0.0 0.0 0.0 0.0 0.0 10.7 11.9 13.1 13.7 14.6 15.5 16.5 18.0
Extra- strong L 4.0 5.2 5.8 7.3 8.2 10.1 11.3 12.5 13.1 13.4 14.0 14.6 14.9 15.5
L′ 4.0 5.2 5.8 7.0 7.9 9.8 11.0 12.2 13.1 13.4 14.0 14.9 15.5 16.5
Schedule 80 L 4.0 5.2 5.8 7.3 8.2 10.1 11.3 12.8 14.0 14.6 15.8 16.8 17.7 19.2
L′ 4.0 5.2 5.8 7.0 7.9 9.8 11.0 12.2 13.4 14.0 15.2 15.8 16.8 18.6
Schedule 100 L 0.0 0.0 0.0 0.0 0.0 0.0 11.6 13.1 14.3 14.9 16.2 17.1 18.0 19.8
L′ 0.0 0.0 0.0 0.0 0.0 0.0 11.3 12.5 13.7 14.3 15.2 16.2 17.1 15.5
Schedule 120 L 0.0 0.0 0.0 0.0 8.5 10.4 11.9 13.4 14.6 15.5 16.5 17.4 18.6 20.4
L′ 0.0 0.0 0.0 0.0 8.2 9.8 11.3 12.5 13.7 14.3 15.5 16.5 17.4 18.9
Schedule 140 L 0.0 0.0 0.0 0.0 8.5 10.4 11.9 13.4 14.9 15.5 16.5 17.7 18.6 20.4
L′ 0.0 0.0 0.0 0.0 8.2 10.1 11.3 12.8 13.7 14.6 15.5 16.5 17.4 18.9
Schedule 160 L 4.0 5.2 6.1 7.6 8.8 10.7 12.2 13.7 14.9 15.5 16.8 17.7 18.9 20.7
L′ 4.0 5.2 5.8 7.0 8.2 10.1 11.3 12.8 13.7 14.6 15.5 16.5 17.4 19.2
Note: L is calculated with limiting bending stress of S divided by 2. L′ is calculated with limiting
static deflection 25.4 mm.Static Equipment Foundation Design 263
•	 The pipe is treated as a horizontal beam, supported at both ends, and
carrying a uniform load equal to the summation of metal weight,
water, and insulation.
•	 The maximum static deflection was 25 mm.
•	 The maximum bending stress was equated to the allowable weight
stress equal to half the allowable hot stress, S.
References
ACI Standard 318-05/318R-05, 2005. Building Code Requirements for Structural Concrete
and Commentary. Farmington Hills, MI: ACI.
ACI Standard 318-08 M, 2008. Building Code Requirements for Structural Concrete and
Commentary. Farmington Hills, MI: ACI.
ASCE Standard SEI/ASCE 7–05, 2005. Minimum Design Loads for Buildings and Other
Structures, ASCE, Ann Arbor, MI.
ASCE 40262. 1997. Wind Load and Anchor Bolt Design for Petrochemical Facilities. Ann
Arbor, MI: ASCE.
ASTM Standard F1554: Standard Specification for Anchor Bolts, Steel, 36, 55, and
105-ksi Yield, ASTM Annual Book of Standards. West Conshohocken, PA: ASTM
International.
PIP Standard STC01015, 2006. Structural Design Criteria. Austin, TX: PIP.
PIP Standard STE05121, 2006. Anchor Bolt Design Guide. Austin, TX: PIP.265
7
Steel Structures in Industry
7.1 Introduction
Steel structures are the most common in industrial projects because the
characteristics of steel work well for industrial purposes. The following is a
sample of steel’s advantages to industry:
•	 Its high strength in tension and compression allows for a small cross
section and is, therefore, better for use in long spans.
•	 Its elasticity makes steel a very good example of a material that complies with Hook’s law.
•	 Its ductility allows a large degree of elongation before breaking, so it
can withstand overload without sudden failure.
•	 Advanced technology is not required to strengthen it.
•	 Quality controls for steel are usually good because the rolled cross
sections are delivered from factories under quality control systems.
•	 Its properties allow easier and faster erections.
•	 It is recoverable from scrap.
•	 It retains value after demolition.
Steel’s main disadvantage is that it needs periodic maintenance. It is therefore important that the required maintenance be included in the operating
budget.
7.2 Stress–Strain Behavior of Structural Steel
Structural steel is an important construction material. It possesses attributes
such as strength, stiffness, toughness, and ductility that are very desirable in
modern constructions. Strength is the ability of a material to resist stresses.266 Construction Management and Design of Industrial Concrete and Steel Structures
It is measured in terms of the material’s yield strength, Fy, and ultimate or
tensile strength, Fu. For steel, the ranges of Fy and Fu ordinarily used in constructions are 36 to 50 ksi (248 to 345 MPa) and 58 to 70 ksi (400 to 483 MPa),
respectively, although higher strength steels are becoming more common.
Stiffness is the ability of a material to resist deformation. It is measured as
the slope of the material’s stress–strain curve. Figure 7.1 shows uniaxial engineering stress–strain curves obtained from tests for various grades of steels.
It can be seen that the modulus of elasticity, E, does not vary appreciably for
the different steel grades. Therefore, a value of 29,000 ksi (200 GPa) is often
used for design.
Toughness is the ability of a material to absorb energy before failure. It is
measured as the area under the material’s stress–strain curve. As shown in
Figure 7.1, most steels (especially the lower grades) possess high toughness
that is suitable for both static and seismic applications. Ductility is the ability
of a material to undergo large inelastic, or plastic, deformation before failure.
It is measured in terms of percent elongation or percent reduction in the area
of the specimen, tested in uniaxial tension.
7.3 Design Procedure
Normally, we start by a preliminary design, which is a rapid, approximate,
manual method of designing a structure, as opposed to carrying out rigorous
0 0.05 0.10 0.15
Strain (in./in.)
Stress (ksi)
0.20 0.25 0.30 0.35
Carbon steel
(e.g., A36)
High-strength, low-alloy steel
(e.g., A441, A572)
E = 29,000 ksi
(Slope of stress–strain curve in the elastic range)
20
40
60
80
Fy
= 50 ksi
Fu
Fu
Fy
= 36 ksi
FIGURE 7.1
Uniaxial stress–strain behavior of steel.Steel Structures in Industry 267
analysis and detailed design. The overall aim for a given structure is to identify critical loads, estimate design actions, and select sections. The process is
bound by conceptual design, alternative systems, idealization, identification
of critical members, and rationalization and depends greatly on the designer’s experience and use of appropriate design aids. The term is also often
applied to manual design. Preliminary design is needed for the following
reasons:
•	 To obtain sections and weights for cost estimation
•	 To compare alternative proposals
•	 To obtain initial sections for computer analysis
•	 To check a completed design
The need for approximate manual methods is very important. It is necessary to know if the output is right, wrong, or complete nonsense. Methods of
preliminary analysis that are not dependent on member sizes are set out for
both elastic and plastic theories. Redundant structures are treated as statically determinate by approximately locating points of contraflexure by using
subframes or by assigning values of actions at critical positions.
After defining the structure system in the preliminary design, we progress
to the detailed engineering by, first, building the computer model and, then,
selecting the safe member. Now you are ready to deliver the complete engineering tender package.
7.3.1 Tension Members
Tension members are those structural elements that are subjected to pure
tensile forces. The selection of their cross section is one of the simplest and
most straightforward problems encountered in steel design. Because stability
is of minor concern with tension members, the problem is reduced to selecting a section with sufficient area to carry the design load without exceeding
the allowable tensile stress, as determined by the factor of safety.
A structural member is considered a compression member if it is under
a compressive load, either alone or with other loadings. Columns, beamcolumns, plates, component parts of frames, and the compression flanges of
beams and plate girders could all be taken as examples of this category.
The two main differences between tension and compression members
are:
•	 Tension members are held straight by means of tensile loads, while
the loads on compression members tend to bend the member out of
the plane of loading.268 Construction Management and Design of Industrial Concrete and Steel Structures
•	 For riveted and bolted connections, the net area will govern the
strength of a tension member, while, for compression members, the
rivets are assumed to fill the holes.
For tension members, it is well known that the stability phenomena is not a
criterion of the design, but is required to prevent sagging of a tension member if it is too long. It is also utilized to support vibrating equipment; in that
case, the slenderness ratio (λ = L/r), here L is the tension member length and
r is the radius of gyration, should be not higher than 300.
7.3.1.1 Slenderness Ratio
The slenderness ratio is obtained from the following equation:
λ = kL/r
where
L = Slenderness ratio
k = Buckling length factor
For compression members, k depends on the rotational restraint at the
member ends and the means available to resist lateral movements. For tension members:
k = 1
L = Unsupported length for tension or compression members
r = Radius of gyration corresponding to the member’s effective buckling length (kL)
The buckling factor, k, is considered in Table 7.1. The values in Table 7.1
depend on an ideal case for pure fixation and hinge in the support. Practically,
a hinge support will allow some restraint and the fixed support will allow
some rotation.
In Table 7.1, for conditions a, b, c, and e, the lower end of the column is
assumed to be fixed. In the remaining cases d, and f, the end is assumed to be
hinged. Fixed support means that the column is adequately embedded in the
concrete footing or connected by a moment-resisting bolted connection.
In the case of a, the top end is considered fixed when the column is in a
frame with a heavy girder that is many times more rigid than the column
itself. In c and f, the top of the column is allowed to translate, as in the case
of columns in unbraced frames with heavy members.Steel Structures in Industry 269
TABLE 7.1
Values of Buckling Factor, k, for Different Conditions
(a) (b) (c) ( d) (e) (f)
eoretical K,
value
0.5 0.7 1.0 1.0 2.0 2.0
Recommended
design value
when ideal
conditions are
approximated
0.65 0.8 1.2 1.0 2.1 2.0
Case end
conditions
Rotation fixed and translation fixed
Rotation free and translation fixed
Rotation fixed and translation free
Rotation free and translation free
The main method of calculating strength based on the buckling factor is by
the Euler formula. All other methods modify the Euler formula and enhance
it. The principal of the member strength and its slenderness ratio is shown in
Figure 7.2. In general, by decreasing (λ = kL/r), the strength will increase by
using a higher value of radius of gyration (r). Theoretically, the steel section
can carry the load to infinity, but actually the yield strength is constrained
by the section strength as shown in Figure 7.2. There are two formulas to
calculate the member strength before and after λ = 133, which present the
maximum load that can be carried by the member without buckling or being
deformed.270 Construction Management and Design of Industrial Concrete and Steel Structures
Example 1: Tension Member by Allowable Stress Design (ASD)
Design the Lower Chord Tension Member
Design force = 30 tons
Geometric length of the member, Lx = 300 cm (using 16-mm bolts for the bolted
connection)
For two equal angles, r = 0.3a
For one angle, r = 0.2a
For star angles, r = 0.385a
Solution
λ
max = kL/r = 300
r = 300/300 = 1
a = 1/0.3 = 3.33 cm
Construction Guideline
D = 16 mm (bolt size)
ϕ = 16 + 2 mm = 18 mm (hole size)
a − t < 3ϕ < 4.8 cm
A
req = 30/(2 × 0.6 × Fy × 1.2 × 0.85) = 10.50 cm2
Choose two equal Angles
65 × 65 × 9 mm (A = 11.0 cm2)
A
net = 2(11.0 − (1.8 × 0.9)) = 18.76 cm2
ft = 30/18.76 = 1.595 < 0.6 Fy × 1.2
LRFD for tension member
When you apply the load resistance force design (LRFD), the following will be the
strength of the tension member:
For yielding in the gross section
ϕt = 0.90, Pn = FyAg
For fracture in the net section
ϕt = 0.75 Pn = FuAe
133
L
b/r
Fy
F
c = πE2/(Lb/r)2
FIGURE 7.2
Relationship between the slenderness ratio and strength.Steel Structures in Industry 271
where
A
e = Effective net area
A
g = Gross area of member
Fy
= Specific minimum yield stress
F
u = Specific minimum tensile strength
P
n = Nominal axial strength
Example 2: Previous Example Using Load Resistance Force Design
Design the lower chord tension member
Design force = 30 tons for dead load
L
x = 300 cm (using 16-mm bolts for the bolted connection)
Choose two equal angles
65 × 65 × 9 mm (A = 11.0 cm2)
Solution
1. Load
P
u = 1.4 PD = 1.4 × 30 = 42 tons ≤ ftPn
2. Strength
ϕtPn = 0.9 × 2.4 × 22 = 47.52 > Pu OK
ϕtPn = 0.75 × 3.6 × 18.76 = 50.6 > Pu OK
7.3.2 Compression Members
Columns are structural elements subjected to a pure compression force. They
are the obvious support for roof trusses or system girders. The main concern
for this compression member is buckling.
7.3.2.1 Steps of Preliminary Design
1. Assume the allowable buckling stress from Table 7.2.
2. Calculate the required cross-sectional area.
A
g = DF/Fc
3. Select the convenient steel section.
4. Generally, check that the section is noncompact and can achieve yield
stress without local plate buckling as shown in Tables 7.3 and 7.4.
TABLE 7.2
Approximate Estimates of Critical Stress
D
F (kN) Fc (N/mm2)
50 60
50–100 70
100–200 80
>200 95272 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 7.3
Specified Yield Stress for Steel Compression Members of 36 ksi (248 N/mm2)
kL/r
Fa
kL/r
Fa
kL/r
Fa
kL/r
Fa
kL/r
Fa
ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2
1 21.56 148.65 41 19.11 131.76 81 15.24 105.08 121 10.14 69.91 161 5.76 39.71
2 21.52 148.38 42 19.03 131.21 82 15.13 104.32 122 9.99 68.88 162 5.69 39.23
3 21.48 148.1 43 18.95 130.66 83 15.02 103.56 123 9.85 67.91 163 5.62 38.75
4 21.44 147.82 44 18.86 130.04 84 14.90 102.73 124 9.70 66.88 164 5.55 38.27
5 21.39 147.48 45 18.78 129.48 85 14.79 101.97 125 9.55 65.84 165 5.49 37.85
6 21.35 147.20 46 18.70 128.93 86 14.67 101.15 126 9.41 64.88 166 5.42 37.37
7 21.30 146.86 47 18.61 128.31 87 14.56 100.39 127 9.26 63.85 167 5.35 36.89
8 21.25 146.51 48 18.53 127.76 88 14.44 99.56 128 9.11 62.81 168 5.29 36.47
9 21.21 146.24 49 18.44 127.14 89 14.32 98.73 129 8.97 61.85 169 5.23 36.06
10 21.16 145.89 50 18.35 126.52 90 14.20 97.91 130 8.84 60.95 170 5.17 35.65
11 21.10 145.48 51 18.26 125.90 91 14.09 97.15 131 8.70 59.98 171 5.11 35.23
12 21.05 145.13 52 18.17 125.28 92 13.97 96.32 132 8.57 59.09 172 5.05 34.82
13 21.00 144.79 53 18.08 124.66 93 13.84 95.42 133 8.44 58.19 173 4.99 34.40
14 20.95 144.45 54 17.99 124.04 94 13.72 94.60 134 8.32 57.36 174 4.93 33.99
15 20.89 144.04 55 17.90 123.42 95 13.60 93.77 135 8.19 56.47 175 4.88 33.65
16 20.83 143.62 56 17.81 122.80 96 13.48 92.94 136 8.07 55.64 176 4.82 33.23
17 20.78 143.27 57 17.71 122.11 97 13.35 92.04 137 7.96 54.88 177 4.77 32.89
18 20.72 142.86 58 17.62 121.49 98 13.23 91.22 138 7.84 54.05 178 4.71 32.47
19 20.66 142.45 59 17.53 120.87 99 13.10 90.32 139 7.73 53.30 179 4.66 32.13
20 20.60 142.03 60 17.43 120.18 100 12.98 89.49 140 7.62 52.54 180 4.61 31.78Steel Structures in Industry 273
21 20.54 141.62 61 17.33 119.49 101 12.85 88.60 141 7.51 51.78 181 4.56 31.44
22 20.48 141.20 62 17.24 118.87 102 12.72 87.70 142 7.41 51.09 182 4.51 31.10
23 20.41 140.72 63 17.14 118.18 103 12.59 86.80 143 7.30 50.33 183 4.46 30.75
24 20.35 140.31 64 17.04 117.49 104 12.47 85.98 144 7.20 49.64 184 4.41 30.41
25 20.28 139.83 65 16.94 116.80 105 12.33 85.01 145 7.10 48.95 185 4.36 30.06
26 20.22 139.41 66 16.84 116.11 106 12.20 84.12 146 7.01 48.33 186 4.32 29.79
27 20.15 138.93 67 16.74 115.42 107 12.07 83.22 147 6.91 47.64 187 4.27 29.44
28 20.08 138.45 68 16.64 114.73 108 11.94 82.32 148 6.82 47.02 188 4.23 29.16
29 20.01 137.96 69 16.53 113.97 109 11.81 81.43 149 6.73 46.40 189 4.18 28.82
30 19.94 137.48 70 16.43 113.28 110 11.67 80.46 150 6.64 45.78 190 4.14 28.54
31 19.87 137 71 16.33 112.59 111 11.54 79.57 151 6.55 45.16 191 4.09 28.20
32 19.80 136.52 72 16.22 111.83 112 11.40 78.60 152 6.46 44.54 192 4.05 27.92
33 19.73 136.03 73 16.12 111.14 113 11.26 77.63 153 6.38 43.99 193 4.01 27.65
34 19.65 135.48 74 16.01 110.39 114 11.13 76.74 154 6.30 43.44 194 3.97 27.37
35 19.58 135 75 15.90 109.63 115 10.99 75.77 155 6.22 42.89 195 3.93 27.10
36 19.50 134.45 76 15.79 108.87 116 10.85 74.81 156 6.14 42.33 196 3.89 26.82
37 19.42 133.9 77 15.69 108.18 117 10.71 73.84 157 6.06 41.78 197 3.85 26.54
38 19.35 133.41 78 15.58 107.42 118 10.57 72.88 158 5.98 41.23 198 3.81 26.27
39 19.27 132.86 79 15.47 106.66 119 10.43 71.91 159 5.91 40.75 199 3.77 25.99
40 19.19 132.31 80 15.36 105.90 120 10.28 70.88 160 5.83 40.20 200 3.73 25.72274 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 7.4
Specified Yield Stress for Steel Compression Members of 50 ksi (345 N/mm2)
kL/r
Fa
kL/r
Fa
kL/r
Fa
kL/r
Fa
kL/r
Fa
ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2
1 29.94 206.43 41 25.69 177.13 81 18.81 129.69 121 10.2 70.33 161 5.76 39.71
2 29.87 205.95 42 25.55 176.16 82 18.61 128.31 122 10.03 69.15 162 5.69 39.23
3 29.8 205.47 43 25.4 175.13 83 18.41 126.93 123 9.87 68.05 163 5.62 38.75
4 29.73 204.98 44 25.26 174.16 84 18.2 125.48 124 9.71 66.95 164 5.55 38.27
5 29.66 204.50 45 25.11 173.13 85 17.99 124.04 125 9.56 65.91 165 5.49 37.85
6 29.58 203.95 46 24.96 172.09 86 17.79 122.66 126 9.41 64.88 166 5.42 37.37
7 29.5 203.40 47 24.81 171.06 87 17.58 121.21 127 9.26 63.85 167 5.35 36.89
8 29.42 202.84 48 24.66 170.02 88 17.37 119.76 128 9.11 62.81 168 5.29 36.47
9 29.34 202.29 49 24.51 168.99 89 17.15 118.25 129 8.97 61.85 169 5.23 36.06
10 29.26 201.74 50 24.35 167.89 90 16.94 116.80 130 8.84 60.95 170 5.17 35.65
11 29.17 201.12 51 24.19 166.78 91 16.72 115.28 131 8.7 59.98 171 5.11 35.23
12 29.08 200.50 52 24.04 165.75 92 16.5 113.76 132 8.57 59.09 172 5.05 34.82
13 28.99 199.88 53 23.88 164.65 93 16.29 112.32 133 8.44 58.19 173 4.99 34.40
14 28.9 199.26 54 23.72 163.54 94 16.06 110.73 134 8.32 57.36 174 4.93 33.99
15 28.8 198.57 55 23.55 162.37 95 15.84 109.21 135 8.19 56.47 175 4.88 33.65
16 28.71 197.95 56 23.39 161.27 96 15.62 107.70 136 8.07 55.64 176 4.82 33.23
17 28.61 197.26 57 23.22 160.10 97 15.39 106.11 137 7.96 54.88 177 4.77 32.89
18 28.51 196.57 58 23.06 158.99 98 15.17 104.59 138 7.84 54.05 178 4.71 32.47
19 28.4 195.81 59 22.89 157.82 99 14.94 103.01 139 7.73 53.30 179 4.66 32.13Steel Structures in Industry 275
20 28.3 195.12 60 22.72 156.65 100 14.71 101.42 140 7.62 52.54 180 4.61 31.78
21 28.19 194.36 61 22.55 155.48 101 14.47 99.77 141 7.51 51.78 181 4.56 31.44
22 28.08 193.61 62 22.37 154.24 102 14.24 98.18 142 7.41 51.09 182 4.51 31.10
23 27.97 192.85 63 22.2 153.06 103 14 96.53 143 7.3 50.33 183 4.46 30.75
24 27.86 192.09 64 22.02 151.82 104 13.77 94.94 144 7.2 49.64 184 4.41 30.41
25 27.75 191.33 65 21.85 150.65 105 13.53 93.29 145 7.1 48.95 185 4.36 30.06
26 27.63 190.51 66 21.67 149.41 106 13.29 91.63 146 7.01 48.33 186 4.32 29.79
27 27.52 189.74 67 21.49 148.17 107 13.04 89.91 147 6.91 47.64 187 4.27 29.44
28 27.4 188.92 68 21.31 146.93 108 12.8 88.25 148 6.82 47.02 188 4.23 29.16
29 27.28 188.09 69 21.12 145.62 109 12.57 86.67 149 6.73 46.40 189 4.18 28.82
30 27.15 187.20 70 20.94 144.38 110 12.34 85.08 150 6.64 45.78 190 4.14 28.54
31 27.03 186.37 71 20.75 143.07 111 12.12 83.56 151 6.55 45.16 191 4.09 28.20
32 26.9 185.47 72 20.56 141.76 112 11.9 82.05 152 6.46 44.54 192 4.05 27.92
33 26.77 184.58 73 20.38 140.52 113 11.69 80.60 153 6.38 43.99 193 4.01 27.65
34 26.64 183.68 74 20.1 138.58 114 11.49 79.22 154 6.3 43.44 194 3.97 27.37
35 26.51 182.78 75 19.99 137.83 115 11.29 77.84 155 6.22 42.89 195 3.93 27.10
36 26.38 181.88 76 19.8 136.52 116 11.1 76.53 156 6.14 42.33 196 3.89 26.82
37 26.25 180.99 77 19.61 135.21 117 10.91 75.22 157 6.06 41.78 197 3.85 26.54
38 26.11 180.02 78 19.41 133.83 118 10.72 73.91 158 5.98 41.23 198 3.81 26.27
39 25.97 179.06 79 19.21 132.45 119 10.55 72.74 159 5.91 40.75 199 3.77 25.99
40 25.83 178.10 80 19.01 131.07 120 10.37 71.50 160 5.83 40.20 200 3.73 25.72276 Construction Management and Design of Industrial Concrete and Steel Structures
5. Obtain the value of the slenderness ratio, K.
6. Calculate the slenderness ratio, (kL/rmin). It must be less than lmax.
7. Based on Table 7.3, get Fc from AISC-89.
8. Compute the actual stress fc = DF/Ag.
9. If fc is less than Fc or not more than 3%, that is acceptable.
Example 3: Column Designed by ASD
Design a column to carry a total load of 1000 kN. The column should be hinged
at both ends with a buckling length of:
lx
= l
y = 8000 mm
Assume F
c = 95 N/mm2
A = (1000 × 1000∕95) = 10,525 mm2
r = (8000/180) = 44.4 mm
W10 × 60
A = 116 cm2, rx = 11.2 cm, ry = 6.46 cm, tf = 17.3 mm, tw = 10.7 mm
c = (256 − 10.7 – 2 × 17.3)/2 = 210.7
c/tf = 210.7/17.3 = 12.18 < 14.8 OK
dw
= (259.6 − 4 × 17.3) = 190.4 cm
dw
/t
w = 17.8 < 41.3 OK
ly
/l
y = 123.8 Fc = 67.9 N/mm2 (from Tables 7.5 and 7.6)
fc
= 1,000,000 ∕ 11,600 = 86.2 N/mm2 < Fc Unsafe
W12 × 65
A = 12,500 mm2, rx = 134 mm, ry = 76.4 mm, tf = 15.4 mm, tw = 9.9 mm
c = (300 − 9.9 − 2 × 15.4)/2 = 129.65
c/tf = 129.65/15.4 = 8.41 < 14.8 OK
dw
= (300 − 4 × 15.4) = 238.4 mm
dw
/t
w = 238.4/9.9 = 24.08 < 41.3 OK
ly
/r
y = 104.575 Fc = 87 N/mm2 (from Tables 7.5 and 7.6, 12.47 ksi)
fc
= 100,000/12,500 = 80 < Fc OK
For load resistance factor design, Tables 7.5 and 7.6 will be used to obtain the
allowable stress.
Example 4: Load Resistance Force Design for Column
Design a column to carry a dead load of 50 tons and a live load of 50 tons. The
column is hinged at both ends with the following buckling length:
lx
= l
y = 800 cm
Load
P
u = 1.2 × 50 + 1.6 × 50 = 140 tons
Strength
W12 × 65
A = 12,500 mm2, rx = 134 mm, ry = 76.4 mm, tf = 15.4 mm, tw = 9.9 mm
λ = 8000/76.4 = 104.7
ϕcFc = 17.3 × 0.07 = 119 N/mm2
ϕcPn = 119 × 12,500/1000 = 1487.5 > 1400 kN OKSteel Structures in Industry 277
TABLE 7.5
Design Stress for Steel Compression Members of 36 ksi (248 N/mm2) with Specified Yield Stress, ϕc = 0.85
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2
1 30.6 211.0 41 28 193.1 81 21.7 149.6 121 14.2 97.9 161 8.23 56.7
2 30.6 211.0 42 27.9 192.4 82 21.5 148.2 122 14 96.5 162 8.13 56.1
3 30.6 211.0 43 27.8 191.7 83 21.3 146.9 123 13.8 95.1 163 8.03 55.4
4 30.6 211.0 44 27.6 190.3 84 21.1 145.5 124 13.6 93.8 164 7.93 54.7
5 30.6 211.0 45 27.5 189.6 85 20.9 144.1 125 13.4 92.4 165 7.84 54.1
6 30.5 210.3 46 27.4 188.9 86 20.7 142.7 126 13.3 91.7 166 7.74 53.4
7 30.5 210.3 47 27.2 187.5 87 20.5 141.3 127 13.1 90.3 167 7.65 52.7
8 30.5 210.3 48 27.1 186.8 88 20.4 140.7 128 12.9 88.9 168 7.56 52.1
9 30.5 210.3 49 27 186.2 89 20.2 139.3 129 12.7 87.6 169 7.47 51.5
10 30.4 209.6 50 26.8 184.8 90 20 137.9 130 12.6 86.9 170 7.38 50.9
11 30.4 209.6 51 26.7 184.1 91 19.8 136.5 131 12.4 85.5 171 7.3 50.3
12 30.4 209.6 52 26.5 182.7 92 19.6 135.1 132 12.2 84.1 172 7.21 49.7
13 30.3 208.9 53 26.4 182.0 93 19.4 133.8 133 12.1 83.4 173 7.13 49.2
14 30.3 208.9 54 26.3 181.3 94 19.2 132.4 134 11.9 82.0 174 7.05 48.6
15 30.2 208.2 55 26.1 180.0 95 19 131.0 135 11.7 80.7 175 6.97 48.1
16 30.2 208.2 56 25.9 178.6 96 18.8 129.6 136 11.5 79.3 176 6.89 47.5
17 30.1 207.5 57 25.8 177.9 97 18.7 128.9 137 11.4 78.6 177 6.81 47.0
18 30.1 207.5 58 25.6 176.5 98 18.5 127.6 138 11.2 77.2 178 6.73 46.4
19 30 206.8 59 25.5 175.8 99 18.3 126.2 139 11 75.8 179 6.66 45.9
20 30 206.8 60 25.3 174.4 100 18.1 124.8 140 10.9 75.2 180 6.59 45.4
(continued)278 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 7.5 Continued
Design Stress for Steel Compression Members of 36 ksi (248 N/mm2) with Specified Yield Stress, ϕc = 0.85
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2
21 29.9 206.2 61 25.2 173.7 101 17.9 123.4 141 10.7 73.8 181 6.51 44.9
22 29.8 205.5 62 25 172.4 102 17.7 122.0 142 10.6 73.1 182 6.44 44.4
23 29.8 205.5 63 24.8 171.0 103 17.5 120.7 143 10.4 71.7 183 6.37 43.9
24 26.7 184.1 64 24.7 170.3 104 17.3 119.3 144 10.3 71.0 184 6.3 43.4
25 29.6 204.1 65 24.5 168.9 105 17.1 117.9 145 10.2 70.3 185 6.23 43.0
26 29.5 203.4 66 24.3 167.5 106 16.9 116.5 146 10 68.9 186 6.17 42.5
27 29.5 203.4 67 24.2 166.9 107 16.8 115.8 147 9.87 68.1 187 6.1 42.1
28 29.4 202.7 68 24 165.5 108 16.6 114.5 148 9.74 67.2 188 6.04 41.6
29 29.3 202.0 69 23.8 164.1 109 16.4 113.1 149 9.61 66.3 189 5.97 41.2
30 29.2 201.3 70 23.6 162.7 110 16.2 111.7 150 9.48 65.4 190 5.91 40.7
31 29.1 200.6 71 23.5 162.0 111 16 110.3 151 9.36 64.5 191 5.85 40.3
32 29 199.9 72 23.3 160.6 112 15.8 108.9 152 9.23 63.6 192 5.79 39.9
33 28.9 199.3 73 23.1 159.3 113 15.6 107.6 153 9.11 62.8 193 5.73 39.5
34 28.8 198.6 74 22.9 157.9 114 15.4 106.2 154 9 62.1 194 5.67 39.1
35 28.7 197.9 75 22.8 157.2 115 15.3 105.5 155 8.88 61.2 195 5.61 38.7
36 28.6 197.2 76 22.6 155.8 116 15.1 104.1 156 8.77 60.5 196 5.55 38.3
37 28.5 196.5 77 22.4 154.4 117 14.9 102.7 157 8.66 59.7 197 5.5 37.9
38 28.4 195.8 78 22.2 153.1 118 14.7 101.4 158 8.55 59.0 198 5.44 37.5
39 28.3 195.1 79 22 151.7 119 14.5 100.0 159 8.44 58.2 199 5.39 37.2
40 28.1 193.7 80 21.9 151.0 120 14.3 98.6 160 8.33 57.4 200 5.33 36.7Steel Structures in Industry 279
TABLE 7.6
Design Stress for Steel Compression Members of 50 ksi (345 N/mm2) with Specified Yield Stress, ϕc = 0.85
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2
1 30.6 211.0 41 28 193.1 81 21.7 149.6 121 14.2 97.9 161 8.23 56.7
2 30.6 211.0 42 27.9 192.4 82 21.5 148.2 122 14 96.5 162 8.13 56.1
3 30.6 211.0 43 27.8 191.7 83 21.3 146.9 123 13.8 95.1 163 8.03 55.4
4 30.6 211.0 44 27.6 190.3 84 21.1 145.5 124 13.6 93.8 164 7.93 54.7
5 30.6 211.0 45 27.5 189.6 85 20.9 144.1 125 13.4 92.4 165 7.84 54.1
6 30.5 210.3 46 27.4 188.9 86 20.7 142.7 126 13.3 91.7 166 7.74 53.4
7 30.5 210.3 47 27.2 187.5 87 20.5 141.3 127 13.1 90.3 167 7.65 52.7
8 30.5 210.3 48 27.1 186.8 88 20.4 140.7 128 12.9 88.9 168 7.56 52.1
9 30.5 210.3 49 27 186.2 89 20.2 139.3 129 12.7 87.6 169 7.47 51.5
10 30.4 209.6 50 26.8 184.8 90 20 137.9 130 12.6 86.9 170 7.38 50.9
11 30.4 209.6 51 26.7 184.1 91 19.8 136.5 131 12.4 85.5 171 7.3 50.3
12 30.4 209.6 52 26.5 182.7 92 19.6 135.1 132 12.2 84.1 172 7.21 49.7
13 30.3 208.9 53 26.4 182.0 93 19.4 133.8 133 12.1 83.4 173 7.13 49.2
14 30.3 208.9 54 26.3 181.3 94 19.2 132.4 134 11.9 82.0 174 7.05 48.6
15 30.2 208.2 55 26.1 180.0 95 19 131.0 135 11.7 80.7 175 6.97 48.1
16 30.2 208.2 56 25.9 178.6 96 18.8 129.6 136 11.5 79.3 176 6.89 47.5
17 30.1 207.5 57 25.8 177.9 97 18.7 128.9 137 11.4 78.6 177 6.81 47.0
18 30.1 207.5 58 25.6 176.5 98 18.5 127.6 138 11.2 77.2 178 6.73 46.4
19 30 206.8 59 25.5 175.8 99 18.3 126.2 139 11 75.8 179 6.66 45.9
20 30 206.8 60 25.3 174.4 100 18.1 124.8 140 10.9 75.2 180 6.59 45.4
21 29.9 206.2 61 25.2 173.7 101 17.9 123.4 141 10.7 73.8 181 6.51 44.9
(continued)280 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 7.6 Continued
Design Stress for Steel Compression Members of 50 ksi (345 N/mm2) with Specified Yield Stress, ϕc = 0.85
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
kL/r
Φ
cFcr
ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2 ksi N/mm2
22 29.8 205.5 62 25 172.4 102 17.7 122.0 142 10.6 73.1 182 6.44 44.4
23 29.8 205.5 63 24.8 171.0 103 17.5 120.7 143 10.4 71.7 183 6.37 43.9
24 26.7 184.1 64 24.7 170.3 104 17.3 119.3 144 10.3 71.0 184 6.3 43.4
25 29.6 204.1 65 24.5 168.9 105 17.1 117.9 145 10.2 70.3 185 6.23 43.0
26 29.5 203.4 66 24.3 167.5 106 16.9 116.5 146 10 68.9 186 6.17 42.5
27 29.5 203.4 67 24.2 166.9 107 16.8 115.8 147 9.87 68.1 187 6.1 42.1
28 29.4 202.7 68 24 165.5 108 16.6 114.5 148 9.74 67.2 188 6.04 41.6
29 29.3 202.0 69 23.8 164.1 109 16.4 113.1 149 9.61 66.3 189 5.97 41.2
30 29.2 201.3 70 23.6 162.7 110 16.2 111.7 150 9.48 65.4 190 5.91 40.7
31 29.1 200.6 71 23.5 162.0 111 16 110.3 151 9.36 64.5 191 5.85 40.3
32 29 199.9 72 23.3 160.6 112 15.8 108.9 152 9.23 63.6 192 5.79 39.9
33 28.9 199.3 73 23.1 159.3 113 15.6 107.6 153 9.11 62.8 193 5.73 39.5
34 28.8 198.6 74 22.9 157.9 114 15.4 106.2 154 9 62.1 194 5.67 39.1
35 28.7 197.9 75 22.8 157.2 115 15.3 105.5 155 8.88 61.2 195 5.61 38.7
36 28.6 197.2 76 22.6 155.8 116 15.1 104.1 156 8.77 60.5 196 5.55 38.3
37 28.5 196.5 77 22.4 154.4 117 14.9 102.7 157 8.66 59.7 197 5.5 37.9
38 28.4 195.8 78 22.2 153.1 118 14.7 101.4 158 8.55 59.0 198 5.44 37.5
39 28.3 195.1 79 22 151.7 119 14.5 100.0 159 8.44 58.2 199 5.39 37.2
40 28.1 193.7 80 21.9 151.0 120 14.3 98.6 160 8.33 57.4 200 5.33 36.7
Source: AISC, Steel Construction Manual: Load Resistance Force Design, AISC, Chicago, IL, 2001.Steel Structures in Industry 281
7.3.3 Beam Design
Beams are structural members transversely loaded to their lengths and
in the plane of their webs. They resist flexure, shear, and torsion stresses.
Regardless of the method of design and the design code that you will use,
these three aspects must be considered in the design of beams:
•	 Strength: the cross section of a member must be adequate to resist
the applied bending moments and shearing forces.
•	 Stability: the steel plate elements that compose the cross section must
resist the local buckling phenomena. The web should be safe against
the buckling created by shearing forces and bending moments. The
cross section should have adequate torsion strength to resist lateral
torsion buckling (LTB).
•	 Performance: the deformation of the member must not be excessive
under service loads. Limitations of deflections sometimes govern
beam design.
Beams are structural elements subjected to bending moment and shearing
force only. The normal force is neglected (zero).
The beams are usually used for the following functions:
•	 Purlines
•	 Crane track girder (CTG)
•	 Beam in flooring system, as shown in Figure 7.3
•	 Girder of rigid beam (Figure 7.4)
The beam design is based on the failure steps shown in Figure 7.5. The
load, P, is applied on the center of the beam and is increased gradually. A
diagram of the corresponding bending moment is drawn. The beam failure
occurs in four steps:
1. The stress on the bottom and top fiber of the steel section is less than
the yield strength.
2. The top and bottom fibers of the steel section stresses are equal to
the yield strength and the moment is My.
Main beam
Secondary
beam
FIGURE 7.3
Floor structure system.282 Construction Management and Design of Industrial Concrete and Steel Structures
FIGURE 7.4
Photo of roof system.
1 2 3 4
1 2 3 4
Fy
My Mp
p y
x
M
Fy Fy
y
FIGURE 7.5
Simple beam failure stresses in increasing steps.Steel Structures in Industry 283
3. Part of the section has stresses equal to the yield strength.
4. All the cross sections have been affected by stresses equal to the
yield strength and so we reach the plasticity limit and the moment
is, M
p.
From the AISC, the following are the strengths allowable in the design for
steel structure beams:
•	 For a compact section
Fb = 0.66Fy
•	 For a noncompact section
Fb = 0.60Fy
Allowable shear stress = 0.4F
y.
It is important to define whether the section is a compact or noncompact
section. A compact section can achieve the plastic moment with local buckling on the web or the flange. A noncompact section can only reach the
yields for the lower and bottom fiber without local buckling to the web or
the flange. In general, channel, equal, and nonequal angles are always noncompact sections.
7.3.3.1 Lateral Torsion Buckling
The strength of the beam controlled by the second limit state for beams is
lateral torsional buckling (LTB). LTB occurs when the compression portion of
a cross section is restrained by the tension portion, and the deflection due to
flexural buckling is accompanied by torsion or twisting. The way to prevent
LTB is to have adequate lateral bracing at adequate intervals along the beam.
The limit state is the interval of the bracing. The computed flexural stress, fb,
shall not exceed the allowable flexural stress, Fb, given as follows (in all equations, the minimum specified yield stress, Fy, cannot exceed its limits):
For Lb ≤ Lc,
Fb = 0.66Fy (7.1)
where L
c = smaller value of
200 137 895 b F d A F
f y or , ( / / f y ) e for I and channel shapes (7.2)
in which
bf = Flange width (mm)
Fy
= Yield strength (N/mm2)
d = Overall depth of section (mm)
Af = Area of compression flange (mm2)284 Construction Management and Design of Industrial Concrete and Steel Structures
For the above sections to be considered compact, in addition to having
the width-thickness ratios of their component elements falling within the
limiting value, as shown in Table 7.7, the flanges of the sections must be continuously connected to the webs. For Lb > Lc, the allowable flexural stress in
tension is given by
Fb = 0.60Fy (7.3)
The allowable flexural stress in compression is given by the larger value
calculated from Equation (7.4).
F A
b L
f
d
=
82737
(7.4)
TABLE 7.7
Maximum Width/Thickness Ratio for Compact and Noncompact Sections
Compact Noncompact Section
St. 52 St. 44 St. 37 St. 52 St. 44 St. 37
dw
tw
C
tf
Bending
d
w/tw ≤ 127/(Fy)0.5 dw/tw ≤ 190/(Fy)0.5
66.94 75.91 82 100.15 113.56 122.65
Compression
d
w/tw ≤ 58/(Fy)0.5 dw/tw ≤ 64/(Fy)0.5
30.56 34.65 37.44 33.73 38.24 41.3
Rolled
c/tf ≤ 16.9/(Fy)0.5 c/tf ≤ 23/(Fy)0.5
8.9 10.1 10.91 12.12 13.74 14.8
Welded
c/tf ≤ 15.3/(Fy)0.5 c/tf ≤ 21/(Fy)0.5
8.06 9.14 9.87 11.07 12.55 13.5
b
Equal angles
b/t ≤ 23/(Fy)0.5
8.96 10.15 11.0
b
h Unequal angles
(b + h)/2t ≤ 17/(Fy)0.5
8.96 10.15 11.0
t D
Tubular member subjected to bending or compression stress
D/t ≤ 165/F
y D/t ≤ 211/Fy
45.83 58.92 68.79 58.61 75.35 88.0
b
t
w
T section subjected to compression
b/t ≤ 30/(Fy)0.5
15.81 17.93 19.36Steel Structures in Industry 285
where
l = Distance between cross sections braced against twist or lateral displacement of the compression flange (mm)
Af = Compression flange area (mm2)
Cb = 12.5Mmax/(2.5Mmax + 3MA + 4MB + 3MC)
M
max = Maximum moment along the unbraced length of the member
MA = Quarter-point moment along the unbraced length of the member
MB = Midpoint moment along the unbraced length of the member
MCD = Three-quarter point moment along the unbraced length of the
member
For simplicity in design, Cb can conservatively be taken as unity.
Equation (7.4) is applicable only to I and channel shapes with an axis of
symmetry in, and loaded in, the plane of the web. You may check whether
the cross section is compact or noncompact regarding lateral tensional buckling by applying:
L
c ≤ 20b/(Fy)0.5
L
u ≤ (1380Af/dFy)Cb
Purline design, until now, did not allow the use of covering materials as
carrying load with the purlines in design, on the other hand, they have not
taken the effect of torsion into consideration.
7.3.3.2 Allowable Deflection
It always depends on the project specifications, but in general the allowable deflection in AISC will be as follows and see also Table 7.8 for British
Standards BS5950.
For crane track girder = span/800
For floor and roof with plastering = span/360
TABLE 7.8
Suggested Limits for Calculated Deflection Based on BS5950
(1) Vertical deflection of beam due to imposed load
Cantilever Length/180
Beams are not carrying plaster or brittle finished Length/200
(2) Horizontal deflection of columns due to imposed load and wind load
Top of columns in single-story building, except portal frames Height/300
In each building with more than 1 story Height of that story/300
(3) Crane girders
Vertical deflection due to static vertical wheel loads from
overhead travelling crane
Span/600
Horizontal deflection (calculate) Span/500286 Construction Management and Design of Industrial Concrete and Steel Structures
Based on AISC-ASD, beams and girders supporting floors and roofs shall
be proportioned with due regard to the deflection produced by the design
loads. Beams and girders supporting plastered ceilings shall be so proportioned that the maximum live-load deflection does not exceed 1/360 of the
span.
Example 1: Beam Design
The floor system of a shopping center is as shown (Figure 7.6). The floor consists of
a 50-mm reinforced concrete (RC) slab over steel corrugated sheets. It is required
to design the floor beams B1 and B2.
Loads/m2 of the floor:
Corrugated sheet = 200 N/m2
RC slab = 1250 N/m2
Sand + tiles = 1000 N/m2
Live load (LL) = 4000 N/m2
Total = 6450 N/m2
Load on the beam = 6450 × 3.0 = 19,350 N/m’
Assume beam weight = 1000 N/m’
Total load on beam = 19,350 + 1000 = 20,350 N/m’
W = 2.035 ton/m’
10.175 tons
10 m
10.175 tons
M
x =
⋅
=
2 035 10
8
254 4
2
.
. m kN
Qmax = R = 101.75 kN
B
1
B
2
10 m
3 3 m 3 3 m 3
FIGURE 7.6
Floor geometry sketch.Steel Structures in Industry 287
The compression flange is encased in an RC slab, so the unbraced length is zero.
The cross section is compact in relation to the LTB.
Fb = 0.66Fy = 0.66(248) =163 N/mm2
Z = 254.4 × 1,000,000/163 = 1,560,736 mm3
Choose W18 × 55
A = 105 cm2
h = 460 mm
tw
= 9.9 mm
tf = 16 mm
Sx
= 1620 × 103 mm3,
IX
= 37,270 × 104 mm4
C = 0.5(b − tw − 2tf), check c/tf < 10.91 OK
dw
= h − 4tf dw/tf < 82 OK
The section is compact regarding the local buckling.
Check stresses
fbc = 254.4 × 1,000,000/1,620,000 = 157 N/mm2 < 163 N/mm2 (safe)
Q = 101.75 × 1000/(460 × 16) = 13.8 N/mm2 < 0.4 Fy (safe)
Check deflection
Δ = span/360 = 27.78 mm
∆ = 5
384
wl4
EI
∆ = ⋅
⋅
5 0 000004 3000 10 000
384 205 95 37 270 1
( . )( , )4
( . )( , 0
20 4
4) = . mm
W = 1.1 ton/m’
R/2 R R R R R/2
Assume self-weight + wall = 11.0 kN/m’
Mx
= 1225.13 m kN Qmax = 286.0 kN
Z = 1225.13 × 1000 × 1000/163 = 7,516,134.97 mm3
Try W30 × 165
h = 785 mm
b = 268 mm
Sx
= 7949 cm3
Ix
= 312,000 cm4
tw
= 18.5 mm
c = 0.5(b − tw−2tf), check c/tf < 10.91 OK
dw
= h − 4tf dw/tf < 82 OK
L
u = 3000 mm
L
u = 200 × b/(Fy)0.5 = 3870 mm > 3000 mm OK
The cross section is compact, regarding the LTB.
Fb = 0.66Fy = 163.7 N/mm2
fbc = 1225.13 × 1,000,000/7,949,000 = 154.12 N/mm2 < 0.66 Fy (safe)
Q = 286,000/(785 × 18.5) = 19.7 N/mm2 < 0.4 Fy (safe)288 Construction Management and Design of Industrial Concrete and Steel Structures
Check deflection
Δ = span/360 = 41.67 mm Weq = 4 × 6 ∕15 = 1.6 ton/m’ = 15.7 N/mm’
∆ =
⋅
=
5 0 0157 15 000
384 205 95
16
( . )( , )4
( . )(312,000 104) mm OK
Example 2: Crane Track Girder
Design a crane track girder given the following information:
Span of girder = 19.50 m
Span of crane track girder = 4.90 m
Axis of trolley is at 0.90 m from the centerline of the crane track girder
Distance between the wheels of the crane girder = 2.00 m
Weight of trolley = 1.0 ton
Self-weight of crane track girder = 5.0 tons
Crane capacity = 12.0 tons (Figure 7.7)
Loads
Moving load = weight of trolley + weight to be displaced = 1.0 + 12.0 = 13.0 tons
19.5 m
0.9 m
Center line of trolley
Trolley
Crane Track
Girder
Bracket
Bracket Bracket
4.90
2.0
FIGURE 7.7
Crane track girder configuration.Steel Structures in Industry 289
RA
n
2.45 m 2.45 m
7.45 tons
0.5 0.5 1.0 m
14.9 tons 7.45 tons
Total load taken by crane track girder = (13(19.5 − 0.9)/19.5) + 2.5 = 14.9 tons
Load on each of the wheels on left crane track girder = 14.9/2 = 7.45 tons
R
A = [7.45(2.45 − 1.5) + 7.45(2.45 + 0.5)]/4.9 = 5.92 tons
Mx
(n)LL = 5.92(2.45 − 0.5) = 11.562 mt
Mx
(with impact) = 11.562 × 1.25 = 14.452 mt
Assume the self-weight of the crane track girder = 200 kg/m’
Mx
= [0.2(4.9)2/8] + 14.452 = 15.052 mt
M
y = 0.10(11.562) = 1.1562 mt
4.9 m
7.45 tons 2 m 7.45 tons
RA
Qy(LL) = (7.45(2.9/4.9) + 7.45) = 11.859 tons
Qy(LL) with impact = 11.859 × 1.25 = 14.824 tons, Qx = 0.1(11.859) = 1.1859 tons
(lateral shock)
Total Qy = 0.2(4.9)/2 + 14.824 = 15.314 tons
Assume (Zx ≅ 3Zy)
(Mx/Sx) + (My/0.5Sy) > 1.4 × 1.2 Choose HEB 280
h = 280 mm
b = 280 m
tf = 18 mm
tw
= 10.5 mm
Ix
= 19,270 × 104 mm4
I
y = 6595 × 104 mm4
Sx
= 1376 × 103 mm3
Sy
= 471 × 103 mm3
Check local buckling
c/tf and dw/tw OK
The section is a compact section with regard to local buckling.
Lateral Torsion Buckling
L
u = 4900 mm
L
u = 20 × b/(Fy)0.5 = 3870 mm < 4900 unsafe
The section is noncompact.
Fb = 0.6Fy
Fbt = 15.05 × 100/1376 = 1.09 tons/cm2
Fbc = 1.09 + 1.154 × 100/(0.5 × 471) = 1.58 < 1.4 × 1.2 OK
qy = 15.314/(28 × 1.0) = 0.55 < 0.4Fy ton/cm2
qx = (3/2)(Qx/Af) = (3/2)(1.185/28 × 1.8) = 0.035 < 0.4Fy ton/cm2
Check LTB
F
LTB = 800AfCb/(Lud) = 3.27 > fbc OK290 Construction Management and Design of Industrial Concrete and Steel Structures
Check deflection (LL only)
M
max = 11.562 mt 100 × 11.562 = Weq × (490)2/8
W
eq = 0.0385 ton/cm’ = 3.85 ton/m’
Δ ≤ 4900/800 ≤ 6.12 mm
Δ
act = 0.66 unsafe
7.3.4 Design of Beam Column Member (Allowable Stress Design)
Beam columns and structural elements are subjected to compression (normal
force) and a bending moment. Safety against the following must be satisfied:
•	 The buckling compression stress.
•	 The axial compressor stress Fc ≤ 0.6Fy.
•	 The maximum tensile stress F
t ≤ 0.66Fy.
•	 The safety of the LTB must be checked.
•	 Shear stress must not exceed the limit, tmax ≤ 0.4Fy.
•	 The maximum deflection must be satisfied.
As the beam column is subjected to bending and compression forces, so the
compact or noncompact section is defined the flange local buckling as in
Table 7.7 but for the web is calculated in case of web capacity can carry the
normal force as explained and verified in the following examples 1 and 2.
The value of K will obtained from the next alignment chart as shown in
Figure 7.8.
G
I L
I L
=
∑∑
( )
( )
/ column
/ girders
where G = 10 for hinged support and G = 1 for fixed support.
f F
f F
A
f F
x A
x
y y
a c
b b
b b
+ + ≤
1 2 1 0 .
where
fa = Actual compression stress due to axial compression
Fc
= Allowable compression stress due to buckling
fbx, fby = Actual compression bending stresses on moment about the x and
y axes, respectively
Fbx, Fby = Allowable compression bending stresses for the x and y axes
A C
f F
A
C
f F
x
X
y
Y
1 2
1 1
=
−


=
−


m
a
E
m
a
E
,Steel Structures in Industry 291
F
EX, FEY = Allowable buckling stress in x and y direction, respectively
F
EX = 7500/(lx)2
CM = Moment modification factor
= 0.85 for frame permitted to sway
= 1.0 in the case of members with simply supported at the ends
The steps of design the beam column member will be as follows:
1. Assume I
c/IG = 1.0 (no crane).
I
c/IG = 1.5 – 2.0 (with crane).
2. Calculate M
max, Nmax.
3. Assume f = 1.0 ton/cm2 for higher N or f = 1.3 ton/cm2 for higher M,
get approximate cross section.
4. Check compactness (dw/tw, c/tf).
5. Get l
x, ly. Calculate lx, ly.
6. F
c from the maximum (l).
7. F
EX = 7500/(lx)2, fca = N/A, fbx = Mx/Zx.
SIDE SWAY INHIBITED
0
0.2
0.3
0.4
0.5
0.6
0.7
0.8
1.0
2.0
3.0
5.0
10.0
50.0
0.1
0 0
0.2
0.3
0.4
0.5
0.5
0.6
0.7
0.8
0.9
1.0
100.0 100.0
50.0
30.0
20.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.0
0
50.0
30.0
20.0
10.0
9.0 3.0
2.0
1.5
1.0
4.0
5.0
10.0
20.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.0
0.6
0.7
0.8
1.0
2.0
3.0
5.0
10.0
50.0
0.1
SIDE SWAY UNINHIBITED
GA K K GB GA GB
FIGURE 7.8
Alignment charts for buckling length factor, k.292 Construction Management and Design of Industrial Concrete and Steel Structures
8. CM = 0.6 + 0.4(M2/M1)0.4.
0.4 ≤ CM ≤ 0.6 (without side sway) (Figure 7.9).
CM = 0.85 (with side sway).
M1 and M2 are as shown in Figure 7.10.
9. A1 = CM/(1 − ( fca/FEX)).
10. Calculate Fbx.
11. fca/Fc + fbx ⋅ A1/Fbc ≤ 1.0 (check buckling).
12. fca/0.6Fy + fbx/(0.66 Fy or 0.6 FY) ≤ 1.0 (check yielding).
7.3.5 Design of Beam Column Member (LRFD)
The same procedure outlined above will be used but the following equations
are applied:
P P
P P M M M M
x f x x f x
u n
u n u n u n
/
/ / / /
φ
φ
≥
( ) +  ( )+ ( ) 
0 2
8 9
.
≤
<
( ) + ( )+ ( )
1 0
0 2
2
.
P P .
P P M M M M
x f x x f x
u n
u n u n u n
/
/ / /
φ
φ  ≤ 1 0 .
Without side sway With side sway
FIGURE 7.9
Cases of side sway and non-side sway.
1 1
2 2
M
1
M2
FIGURE 7.10
Portal frame.Steel Structures in Industry 293
Example 1: Frame Design in Case of Side Sway
Design the beam column where the buckling lengths are
L
y = 300 cm Lx = 1380 cm
3 m
3 m
18 tons
8.3 tons
24 m
M
x = 49.8 mt Nmax = −18.0 tons
Assume fbx = 1.30 ton/cm2
Sx
= 49.80 × 100/1.3 = 3830.76 cm3
Choose HEB 500
Fy
= 240 N/mm2
tf = 28 mm, tw = 14.5 mm, rx = 212 mm, ry = 72.7 mm, Sx = 4287 × 103 mm3
Sy
= 842 × 103 mm3
A = 23,900 mm2
Local buckling
Web capacity = Fy(50 − 2 × tf)tw = 160.95 > 18 tons
The plastic neutral axis inside the web
N = 2at
wFy a = 2.5 cm
ad
w = h/2 + a – 2tf = 22.5 + 2.5 − 2 × 2.8 = 19.4 cm
dw
= h − 4tf = 33.8 a = 0.57 > 0.5
dw
/tf ≤ (699/(2.4)0.5/(13 × a − 1) = 69.9
dw/tf = 33.8/1.5 = 22.53 < 69.9 OK
Check flange c/tf OK
The unbraced length
L = 300 cm L
u = 20b/(Fy)0.5 = 387.3 > 300 OK
L
x/rx = 13,800/212 = 65.1 Ly/ry = 41.27
F
EX (plane of bending) = 7500/(72.63)2 = 1.4217 ton/cm2
Fc
= from the table = 1.13 ton/cm2
fa
= 18/239 = 0.075 ton/cm2
fb
x = 49.8 × 100/4815 = 1.034 ton/cm2 = 10.34 N/mm2
Equivalency and amplification factors
CM = 0.85 (side sway permitted)
A = 1/(1 − (0.077/1.4217)) = 1.0573 A1 = CMA = 0.898 ≥ 1.0 A1 = 1.0
(fca/Fc) + (fbxCMA/Fbc) ≤ 1.0
(0.077/1.13) + (1.034 × 1.0∕0.66F
y) = 0.72 < 1.0 safe
f
ac/Fc + fbx/Fbc ≤ 1.0
(0.075/0.6F
y) + (1.034/0.66Fy) = 0.70 < 1.0 safe
This section is safe, but not economical. Try smaller section dimensions.294 Construction Management and Design of Industrial Concrete and Steel Structures
Example 2: Design for Frame without Side Sway
Design the beam column where the buckling lengths are
L
y = 500 cm Lx = 350 cm
5.0 m
60 tons
+
–
18 mt
20 mt
M
x = 20 mt Nmax = −60 tons
Assume fbx = 1.00 ton/cm2
Sx
= 20 × 100∕1.0 = 2000 cm3
Choose HEB 340
tf = 21.5mm, tw = 12 mm, rx = 146 mm, ry = 75.3 mm, Sx = 2156 × 103 mm3
Sy
= 646 × 103 mm3
A = 17,100 mm2
Local buckling
Web capacity = Fy(34 − 2 × tf)tw = 85.54 > 60 tons
The plastic neutral axis inside the web
N = 2at
wFy a = 9.61 cm
ad
w = h/2 + a – 2tf = 17 + 9.61 − 2 × 2.1 = 22.31 cm
dw
= h − 4tf = 25.4 a = 0.90 > 0.5
d
w/tf ≤ (699/(2.4)0.5/(13 × a − 1) = 41.48
d
w/tf = 25.4/2.15 = 11.81 < 41.48 OK
Check flange c/tf OK
L = 500 cm L
u = 20b ∕ (Fy)0.5 = 387.3 < 500 OK
The section is noncompact, Fb = 0.6Fy
L
x/rx = 34.25 Ly/ry = 66.41
F
EX (plane of bending) = 7500/(34.25)2 = 6.39 ton/cm2 = 63.9 N/mm2
Fc
= 1.18 ton/cm2 (from Table 7.3)
fa
= 60/171 = 0.35 ton/cm2
fb
x = 20 × 100/2156 = 0.93 ton/cm2
Equivalency and amplification factors
fa
/F
c = 0.35/1.18 = 0.29 > 0.15
A = 1/(1 − (0.35/6.39)) = 1.05 CM = 0.6 − 0.4(18/20) = 0.24 < 0.4 CM = 0.4
A
1 = CM × A <1.0 A1 = 1.0
Cb = 1.75 + 1.05 (18∕20) + 0.3(18∕20)2 = 2.938 > 2.30, take 2.3
F
LTB = (800 × 30 × 2.5) × 2.3/(500 × 32) = 6.98 > 0.6 Fy
Checking stresses
•	 Buckling
(fa/Fc) + (fbxCMA/Fbc) ≤ 1.0
(0.35/1.18) + (0.93 × 1.0/0.6F
y) = 0.95 safeSteel Structures in Industry 295
•	 Yielding
f
ac/Fc + fbx/Fbc ≤ 1.0
(0.35/0.6F
y) + (0.99/0.6Fy) = 0.96 < 1.0 safe
7.4 Steel Pipe Rack Design
The purpose of this section is to provide guidelines and recommend procedures for the analysis and design of steel pipe racks. This design guide
defines the minimum requirements for the analysis and design of pipe racks
for use in industrial facilities. It covers general design philosophy and also
requirements for the analysis and design of pipe racks. Criteria presented
here pertain to loads, load combinations, allowable stresses, and superstructure and foundation design.
7.4.1 Pipe Rack Design Guide
Pipe racks are frame structures that support pipes and auxiliary equipment
in the process areas of industrial plants. Piping loads can vary greatly from
project to project in the same way as loads from wind and earthquake vary.
Clearly, it is difficult to define specific criteria for the design of such structures. This guideline sets general requirements that the engineer should
incorporate into pipe rack designs, if possible.
This guideline is intended to apply to the following three types of steel
pipe racks:
•	 Strutted main pipe racks
•	 Unstrutted secondary or miscellaneous pipe racks
•	 “T” supports
The pipe rack superstructures and foundations shall be designed for the
loads and load combinations specified in Chapter 3.
The piping work will be contact with the pipe rack and act as one unit, as
shown in Figure 7.11. Therefore, the deflection should be restricted based
on the design to avoid higher stress on the piping system. The deflection
requirements for pipe rack beams and transverse bents are detailed below.
•	 The maximum allowable beam deflection, Δmax, due to total load
shall be as follows:
Δ
max = L/240
where L is the span length.296 Construction Management and Design of Industrial Concrete and Steel Structures
•	 The maximum allowable drift limits for a pipe rack shall not exceed
H/100
where H is the pipe rack height.
7.4.2 Pipe Rack Superstructure Design
The principal structural components of a pipe rack are the transverse beams,
the columns, longitudinal struts, and vertical bracing. Design criteria applicable to each of these components are presented below.
In general, the pipe support framing system is designed as a rigid frame
with fixed or pinned bases in the transverse direction and as braced frames
in the longitudinal direction. Additional longitudinal and/or intermediate
transverse beams may be required to support electrical conduit, instrumentation lines, or other small lines. Electrical conduit and cable trays usually
must be supported every 3 m, unless the vendor recommends larger spans
in the drawings.
Structural components of the pipe rack must be capable of resisting the
axial loads, shears, and moments. An elastic analysis shall be used to determine moments and forces in pipe rack members.
FIGURE 7.11
Photo of a pipe rack.Steel Structures in Industry 297
7.4.2.1 Structural Steel Expansion
For pipe rack design, provisions shall be made for the thermal expansion of
steel, with the structural steel checked for temperature change. Slotted connections (sliding connections) shall be provided in each segment of the pipe
rack between vertical bracings to allow for structural steel thermal expansion. The maximum segment for the pipe rack shall be limited to 42 m in
length, unless calculations show otherwise.
(1) Transverse beams
•	 In computing the allowable bending stress, Fb, the unbraced
length shall be taken as the span of the beam and the AISC factor, Cb, shall be used to account for end fixity. Cb = 1.0 is a very
conservative and safe assumption. In no case shall the assumption of lateral support from piping be used in computing, Fb.
•	 Generally, the horizontal members’ depth should not be less than
1/24 of the span.
•	 If top-flange lateral loads are significant, the transverse beam
shall be investigated for bending about the y–y axis and for torsion. This can be estimated by using My × 2/Sy.
•	 In axial load design, the total span of the beam should be used,
modified by the appropriate effective length factor for each direction. This factor should be equal to 1.0 for the weak direction of
the beam.
•	 Special consideration shall be given to the design of transverse
beams that support large vapor lines to be hydrotested, or that support large anchor or guide forces. Normally, if the local bending
stresses are too high, using horizontal bracing locally is required.
(2) Columns
•	 If using strutted pipe racks, the columns shall normally be
designed with pinned or fixed bases, depending on the lateral
drift requirements.
•	 For normal pipe racks, column bases shall be considered pinned
in the transverse direction and fixed in the longitudinal direction.
The major axis of columns should normally be perpendicular to
the longitudinal direction of the pipe rack (i.e., the plane formed
by the column web is parallel to the longitudinal direction).
•	 T support column bases, which are used to carry one or two
pipes, shall be considered fixed in both the transverse and longitudinal directions. The major axis of columns may be turned in
either direction.
•	 Column base plates for major and miscellaneous pipe racks and T
supports shall be affixed by anchor bolt to the concrete foundation.298 Construction Management and Design of Industrial Concrete and Steel Structures
(3) Longitudinal struts
•	 In areas where gravity loading of struts is anticipated, struts shall be
designed for axial loads produced by longitudinal pipe loads, plus
gravity load moments and shears. Such struts should be designed
for the actual load, but not less than 50% of the gravity load of the
loaded transverse pipe support beam. This loading requirement
will account for the usual piping and electrical conduit.
•	 Concentrated loads for large pipes shall also be included in the
design. Where gravity loading is not anticipated, struts shall
be designed for axial loading only. The primary source of axial
loads is longitudinal pipe loads.
(4) Vertical bracing
•	 Vertical bracing may be used to transmit transverse and longitudinal forces to the foundations. K-bracing or X-bracing is usually
used for this purpose. In modern research, X-bracing is preferred
over K-bracing because of redundancy.
•	 Braced bays in strutted pipe rack systems should be spaced at
42 m, maximum. Longitudinal bracing should be provided about
every fourth bay.
•	 Compression bracing for steel pipe rack systems shall normally
be designed with wide flange shapes. For tension bracing, single
angle or double angle are usually used.
Example 1: Pipe Rack Design
Design a typical pipe rack bent in oil plant. The pipe rack configuration shall be as
shown in Example 1 in Chapter 3 and the plan layout as shown in Figure 7.12.
Assumptions
Assume in the first trial that the main beams are W10 × 33 for the cable tray
support, and W14 × 48 and W14 × 53 for the pipe supports.
6.0 m 6.0 m
7.5 m
7 Span at 6.0 m = 45 m
FIGURE 7.12
Pipe rack—plan layout.Steel Structures in Industry 299
The beam levels are 20.00, 25.00, and 20.00. The beams are rigidly connected to the columns (i.e., moment connection). The columns are W14 × 53
and fixed at the base.
The longitudinal struts (W10 × 33) located at levels 17.50, 22.50, and 30.00
act as struts to transfer the thermal load to the vertical bracing of the rack.
These levels will be considered as braced in the longitudinal direction.
The loads affect the structure as shown in Figure 7.13. The second step is
to build the model in any software package used in structural analysis and
then perform the analysis and obtain the stresses and bending moment, as
shown in Figure 7.14.
Perform K
z (effective length factor about the column local z-axis) calculations for the columns (Table 7.9).
Refer to detailed calculations in Figure 7.15.
The unity check for the member is illustrated in Figure 7.16. From this figure,
it is found that the unity check is lower than the unity, so the chosen member is safe.
F
5 = 2.88 kN
F
6 = 2.88 kN
F
4 = 2.88 kN
F
6 = 2.88 kN
F
5 =2.88 kN
F
4 = 2.88 kN
7.5 m
6.0 m 1.5 1.5
9.0 m
0.75 0.75
F
3 =5.45 kN
F
2 = 6.18 kN
F1
= 11.6 kN
0.43 kN/m’ 0.43 kN/m’
FIGURE 7.13
Sketch for loads on the pipe rack for Example 1.300 Construction Management and Design of Industrial Concrete and Steel Structures
Check the critical K
z for the governing bottom portion of column:
W14 × 53 I
x = 225.18 × 106 m4 Column
W14 × 53 I
x = 225.18 × 106 m4 Beam at level
W10 × 33 I
x = 71.18 × 106 m4 Beam at level 9 m
W14 × 48 I
x = 201.5 × 106 m4 Beam at level 7.5 m
GB = 1.0 fixed base
GT = ∑IC/LC
∑IB/LB
∑IC/LC = (225.18 × 106/6000) + (225.18 × 106/1500) = 187,650
∑IB/LB = 225.18 × 106/7500 = 30,024.133
FIGURE 7.14
Sketch of BM diagram.
TABLE 7.9
G and K Calculation
Elevation (m) Column Member G Kz
9 5, 10 19.78 3.3
7.5 13.09
3, 4, 8, 9 2.7
6 7.85
1, 2, 6, 7 1.8
0 1.0Steel Structures in Industry 301
GT = 187,650/30,024.133 = 6.25
With GB = 1.0 + GT = 6.26Kz = 1.8
Level 9
I
B/LB = 71.18 × 106/7500 = 9490
I
C/LC = 187,650
G = 187,650/9490 = 19.78
Level 7.5
I
B/LB = 201.5 × 106/7500 = 28,666.7
G = 187,650 + 187,865/28,666.7 = 13.09
Level 6
G = 37,500 + 187,650/28,666.7 = 7.85
Pipe rack bent is designed per attached STAAD PRO input and output file.
Check STAAD PRO output for the following:
Unity check
Ensure that unity checks for all structural members are less than 1.0.
Beam deflection
Ensure that maximum beam vertical deflection is less than L/240, where L = span
length.
Lateral drift
Ensure that maximum lateral drift for the pipe rack is less than H/100 for load
combinations with wind loads, and H/100 for earthquake loads.
W W14 W14 53
W14 53 W14 53 W14 355
W10 33
W14 48
W14 48
Ic
/L
c = 187,650
Ic
/L
c = 187,650
Ic
/L
c = 225 106/6000 = 37,500
FIGURE 7.15
Sketch of loads on the pipe rack for Example 1.302 Construction Management and Design of Industrial Concrete and Steel Structures
7.5 Stairway and Ladders
The following requirements are summarized from the 1987 edition of OSHA
General Industry Requirements.
7.5.1 Stairways
Fixed stairs are usually used to access one structural level from another,
where operations necessitate regular travel between levels, and for access to
the operating platforms of any equipment that requires regular monitoring
during operations. Fixed stairs shall also be provided where access to elevations is required daily or at each shift for such purposes as gauging, inspection, regular maintenance, and when one of the following conditions occurs:
(1) work may expose employees to acids, caustics, gases, or other harmful
substances, or (2) the carrying of tools or equipment by hand is normally
required (OSHA 1910.24(b)).
•	 Every flight of stairs having four or more risers shall be equipped
with standard handrails (OSHA 1910.23 (d)(1)).
0.256
0.361
0.193
0.162
0.209
0.528
0.156
0.642
0.801
0.886
0.208 0.841
0.229
FIGURE 7.16
Sketch of unity check value.Steel Structures in Industry 303
•	 Stair Strength—Fixed stairways shall be designed and constructed
to carry a load of five times the normal live load anticipated, but
never of less strength than required to carry safely a moving concentrated load of 4.4 kN based on OSHA 1910.24 (c).
•	 Stair Width—A fixed stairway’s width is recommended to be not
less than 760 mm, according to OSHA 1910.24 (d).
•	 Angle of Stairway Rise—Fixed stairs shall be installed at angles to
the horizontal of between 30° and 50°. Any uniform combination of
rise/tread dimensions may be used that will result in a stairway at
an angle to the horizontal within the permissible range. Table 7.10
gives rise/tread dimensions that will produce a stairway within the
permissible range, giving the angle to the horizontal produced by
each combination. However, the rise–tread combinations are not
limited to those given in Table 7.9 from OSHA 1910.24 (e).
•	 Stairway Platforms—Stairway platforms shall be no less than the
width of a stairway and a minimum of 760 mm in length measured
in the direction of travel, based on OSHA 1910.24 (g).
•	 Handrails—OSHA 1910.24 (h) states that standard railings shall
be provided on the open sides of all exposed stairways and stair
platforms. Handrails shall be provided on at least one side of closed
stairways, preferably on the right side descending.
•	 Vertical Clearance—Vertical clearance above any stair tread to an
overhead obstruction shall be at least 2.1 m measured from the leading edge of the tread (OSHA 1910.24 (i)).
TABLE 7.10
Stairway Rise and Run Dimensions
Angle to Horizontal Rise (mm) Tread Run (mm)
30°35′ 165.1 279.4
32°08′ 171.45 273.05
33°41′ 177.8 266.7a
35°16′ 184.15 260.35
36°52′ 190.5 254
38°29′ 196.85 247.65
40°08′ 203.2 241.3
41°44′ 209.55 234.95
43°22′ 215.9 228.6
45°00′ 222.25 222.25
46°38′ 228.6 215.9
48°16′ 234.95 209.55
49°54′ 241.3 203.2
a Preferred.304 Construction Management and Design of Industrial Concrete and Steel Structures
7.5.2 Handrails and Railings
Every open-sided floor or platform 1.2 m or more above an adjacent floor or
ground level shall be guarded by a standard railing on all open sides, except
where there is an entrance to a ramp, stairway, or fixed ladder (OSHA 1910.23
(c)(1)). Many of our clients request guard railings for platforms less than 1.2 m
above an adjacent floor or ground. The client’s requirements should be discussed. All handrails and railings shall be provided with a clearance of not
less than 75 mm between the handrail or railing and any other object, based
on OSHA 1910.23 (e)(6).
7.6 Crane Supports
The vertical deflection is very critical in the movement of the crane and it
mainly depends on the crane manufacturer. Table 7.11 is a guideline for the
maximum allowable deflection of the runway girders under the maximum
static load without impact load (where L = the span length).
Vertical deflection of the jib crane support beams shall not exceed L/225
(where L = the maximum distance from the support column to the load location along the length of the jib beam) if loaded with the maximum lift plus
hoist load(s), without impact.
Lateral deflection of support runway girders for cranes with lateral moving
trolleys shall not exceed L/400 (where L = the span length) when loaded with
a total crane lateral force not less than 20% of the sum of the weights of the
lifted load (without impact) and the crane trolley. The lateral force shall be
distributed to each runway girder with consideration given to the lateral stiffness of the runway girders and the structure supporting the runway girders.
7.7 Connections
The connection can be welded or bolted, according to the design and fabrication procedure, which is constrained if the connection will be fabricated
TABLE 7.11
Maximum Allowable Girder Deflections
Top-running CMAA Class A, B, and C cranes L/600
Top-running CMAA Class D cranes L/800
Top-running CMAA Class E and F cranes L/1000
Under-running CMAA Class A, B, and C cranes L/450
Monorails L/450Steel Structures in Industry 305
onsite or in the workshop. The following rules should be followed when
selecting the weld connection:
•	 Welding in the field is avoided, if possible, due to welding condition
requirements.
•	 Field welding is not to be performed while it is raining, snowing, or
below 0°F.
•	 In certain ambient temperatures, preheating of the material to be
welded is required.
•	 AWS Code D1.1 (2004b) specifies minimum preheat temperatures
that are designed to prevent cracking.
The connections shall conform to the following requirements:
1. Shop connections may be either bolted or welded. Field connections
shall be bolted where possible. Connections may be field-welded
when conditions are such that a bolted connection is not suitable.
2. Bolted connections for primary members shall utilize high-strength
bolts conforming to ASTM A-325-N, bearing-type connections with
threads included in the shear plane. However, slip-critical-type connections shall be used in connections subject to vibration or repeated
stress reversal.
3. Standard connections shall be designed by the fabricator in accordance with the project construction specifications and loads shown
on the drawings. Moment connections and special connections shall
be designed by the engineer and shall be shown on the engineering
drawings.
4. Moment connections shall preferably be of the bolted end plate
type.
In general, the differences between the bolting and welding that will be
used in the selection are summarized as follows:
•	 Bolting is generally a faster operation than welding.
•	 Bolting does not have the temperature and weather condition
requirements that are associated with welding.
•	 Unexpected weather changes may delay welding operations.
7.7.1 Bolts
Four basic types of bolts are commonly used. They are designated by ASTM as
A307, A325, A490, and A449. A307 bolts are called unfinished or ordinary bolts.
They are made from low-carbon steel. Two grades (A and B) are available.306 Construction Management and Design of Industrial Concrete and Steel Structures
They are available in diameters from 6 to 100 mm and are used primarily for
low-stress connections and for secondary members. A325 and A490 bolts are
called high-strength bolts. A325 bolts are made from heat-treated medium
carbon steel. There are three types of bolts available on the market:
•	 Type 1 bolts are made of medium-carbon steel.
•	 Type 2 bolts are made of low-carbon steel.
•	 Type 3 bolts have atmospheric corrosion resistance and weathering
characteristics comparable to A242 and A588 steel.
A490 bolts are made from quenched and tempered alloy steel and thus
have a higher strength than A325 bolts. A with A325 bolts, there are three
types (Types 1, 2, and 3) available on the market.
Both A325 and A490 bolts are available in diameters from 12 to 38 mm in
1/8-in. increments. They are used for general construction purposes. A449
bolts are available in diameter up to 75 mm and so are used when diameters exceeding 38 mm are needed. They are also used for anchor bolts and
threaded rod.
High-strength bolts can be tightened to two conditions of tightness: snugtight and fully tight. Snug-tight conditions can be attained by a few impacts
of an impact wrench, or by the full effort of a worker using an ordinary
spud wrench. Snug-tight conditions must be clearly identified on the design
drawing and are permitted only if the bolts are not subjected to tension
loads and loosening or fatigue due to vibration or load fluctuations are not
design considerations. Bolts used in slip-critical conditions (i.e., conditions
for which the integrity of the connected parts is dependent on the frictional
force developed between the interfaces of the joint) and in conditions where
the bolts are subjected to direct tension are required to be fully tightened to
develop a pretension force equal to about 70% of the minimum tensile stress
F
u of the material from which the bolts are made.
Stresses on the bolt are shown in Figure 7.17. Fully-tightened can be accomplished by using the turn-of-the-nut method, the calibrated wrench method,
or by the use of alternate design fasteners or a direct tension indicator.
For a bolted connection, the following tools can be used as shown in
Figures 7.18 and 7.19.
The common tools used by ironworkers include spud wrenches, pins, and
corrections bars of various sizes, as shown in Figure 7.18. Impact wrenches
will be needed for certain installations, as shown in Figure 7.19.
Electricity or compressed air is required, depending on the impact wrench
being used. A generator as well as an air compressor may be needed. From
ECS2008, Table 7.12 presents the size of the bolts, their areas, As, and the areas
of stress with the torque required, Ma, to achieve the required load. The
shearing-force resistance, Ps, is presented in Case I for primary stresses due
to dead loads, live loads, or superimposed loads, and the dynamic effectsSteel Structures in Industry 307
FIGURE 7.18
Tools for erecting a connection.
Nut
Washer
Bolt
FIGURE 7.17
High-strength bolt stresses.308 Construction Management and Design of Industrial Concrete and Steel Structures
and centrifugal forces. Case II presents primary and additional stresses in
Case I, plus earthquake loads, wind loads, braking forces, and lateral shocks.
Table 7.12 can be applied to grade 8.8 by reducing the values in Table 7.12 by
30%.
The steel detailing guide is shown in Figures 7.20 and 7.21.
FIGURE 7.19
A hydraulic wrench.
TABLE 7.12
Properties and Strengths of High-Strength Bolts (Grade 10.9)
d
A
(mm2)
A
s
(mm2) T Ma
Permissible Friction Load of One Bolt per One
Surface Friction, ps (tons)
St. 37 and 42–44 (μ = 0.4) St. 50–55 (μ = 0.5)
I II I II
M12 113 84 5.29 12 1.69 2.01 2.11 2.52
M16 201 157 9.89 31 3.16 3.37 3.95 4.71
M20 314 245 15.43 62 4.93 5.90 6.17 7.36
M22 380 303 19.08 84 6.10 7.27 7.63 9.10
M24 452 353 22.23 107 7.11 8.45 8.89 10.60
M27 573 459 28.91 157 9.25 11.03 11.56 13.78
M30 706 561 35.34 213 11.30 13.48 14.13 16.86
M36 1018 817 51.47 372 16.47 19.64 20.58 24.55Steel Structures in Industry 309
7.7.2 Welding
Welded connections are connections whose components are joined together
primarily by welds. Welds can be classified by the following criteria:
•	 Types of welds: groove, fillet, plug, and slot welds
•	 Position of the welds: horizontal, vertical, overhead, and flat welds
•	 Types of joints: butt, lap, corner, edge, and tee
Although fillet welds are generally weaker than groove welds, they are used
more often because they allow for larger tolerances during erection. Plug
and slot welds are expensive to make and they do not provide much reliability in transmitting tensile forces perpendicular to the surfaces. Furthermore,
quality control of such welds is difficult because inspection of the welds is
rather arduous. As a result, plug and slot welds are normally used just for
stitching different parts of the members together.
7.7.2.1 Welding Symbols
A shorthand notation giving important information on the location, size,
length, etc., for the various types of welds was developed by the American
Welding Society to facilitate the detailing of welds. This system of notation
is reproduced in Figure 7.22.
e
2
g
e
1
S ≤ 14t and ≤200 mm
Direction of
Load transfer
t = the smallest connected
FIGURE 7.20
Spacing in tension or compression members.
e
2
g ≤ 14t ≤200 mm
S ≤ 14t and ≤200 mm
S ≥ 3d
Compression
t = the smallest connected
FIGURE 7.21
Staggered spacing in compression.310 Construction Management and Design of Industrial Concrete and Steel Structures
BASIC WELD SYMBOLS
SUPPLEMENTARY WELD SYMBOLS
STANDARD LOCATION OF ELEMENTS OF A WELDING SYMBOL
BACK FILLET
SQUARE
PLUG
OR
SLOT FLARE
BEVEL
FIELD
WELD
WELD ALL
AROUND
FLARE
V U V
Groove or Butt
BEVEL J
CONTOUR
FLUSH CONVEX
BACKING SPACER
Finish symbol
Groove angle or included
angle of countersink
for plug welds
For other basic and
supplementary weld
symbols, see
Length of weld in inches
Pitch (c. to c. spacing)
of welds in inches
Field weld symbol
Weld-all-around symbol
Arrow connects reference line to arrow side
of joint. Use break as at A or B to signify
that arrow is pointing to the grooved
member in bevel or J-grooved joints.
A
A R
T
S(E)
(Both sides)
(Other
side)
(Arrow
side)
L @ P
F
B
Contour symbol
Root opening, depth
of filling for plug
and slot welds
Effective throat
Depth of preparation
or size in inches
Specification, process
or other reference
Tail (omitted when
reference is not used)
Basic weld symbol
or detail reference
Note:
Size, weld symbol, length of weld, and spacing must read in that order from left to right along the
reference line. Neither orientation of reference line nor location of the arrow alters this rule.
Arrow and Other Side welds are of the same size unless otherwise shown. Dimensions of fillet
welds must be shown on both the Arrow Side and the Other Side Symbol.
Symbols apply between abrupt changes in direction of welding unless governed by the “all
around” symbol or otherwise dimensioned.
ese symbols do not explicitly provide for the case that frequently occurs in structural work
where duplicate material (such as stiffeners) occurs on the far side of a web or gusset plate. e
fabricating industry has adopted this convention: that when the billing of the detailed material discloses the existence of a member on the far side as well as on the near side, the welding shown for the
near side shall be duplicated on the far side.
e point of the field weld symbol must point toward the tail.
e perpendicular leg of , , , weld symbols must be at left.
Reference line
AWS A2.4–79
FIGURE 7.22
Welding symbols.Steel Structures in Industry 311
7.7.2.2 Strength of Welds
In ASD, the strength of welds is expressed in terms of allowable stress. In
LRFD, the design strength of welds is taken as the smaller of the design
strength of the base material and the design strength of the weld electrode.
These allowable stresses and design strengths are summarized in Table 7.13.
When a design uses ASD, the computed stress in the weld shall not exceed
its allowable value. When a design uses LRFD, the design strength of welds
should exceed the required strength obtained by dividing the load to be
transmitted by the effective area of the welds.
General limitations to the welding will be as follows:
•	 S ≤ min of t1 or t2
•	 Min of t1 or t2 < 20 mm, S ≥ 5 mm
min of t1 or t2 = 20–30 mm, S ≥ 6 mm
min of t1 or t2 = 30–50 mm, S ≥ 8 mm
min of t1 or t2 = 50–100 mm, S ≥ 10 mm
•	 For a building, S ≥ 4 mm
•	 L
min = largest of (4S or 5 cm)
•	 L
max = 70S
•	 No limit for L for beam-column connections or flange to web welds
in welded built-up girders
Example 1: Welded Connection
Figure 7.23 presents an unequal angle, 80 × 200 × 120 connected to the column
by a weld with force, P = 6 tons.
Calculation
Straining action
q = 60 kN M = 60 × 45 = 2700 kN/m
Section 1.1 (S = 10 mm)
q = 60/(2 × 120 × 10) = 0.025 kN/mm2
q(Mt) = 2700 × 60/(2 × (10 × (120)3/12)) = 0.0563 kN/mm2
q(t) = [(0.025)2 + (0.0563)2]0.5 = 0.061 < 0.2Fu < 0.072 kN/mm2 OK
Section 2.2
Ix
= 2 × (120)3 × 10/12 = 2,880,000 mm4
Ft
= 2700 × (120/2)/2,880,000 = 0.05625 kN/mm2
F
eq = [(0.05625)2 + 3(0.025)2]0.5 = 0.07 < 0.072 × 1.1 OK312 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 7.13
Strength of Welds
Types of Weld and Stress Material ASD Allowable Stress
LRFD
ϕ FBM or ϕ FW Required Weld Strength Level
Full Penetration Groove Weld
Tension normal to effective area Base Same as base metal 0:90F
y Matching weld must be used
Compression normal to effective area Base Same as base metal 0:90Fy Weld metal with a strength level
equal to or less than “matching”
must be used
Tension of compression parallel to axis of weld Base Same as base metal 0:90Fy
Shear on effective area Base weld
electrode
0.3× nominal tensile
strength of weld metal
0.9(0.6Fy)
0.8(0.6FEXX)
Partial Penetration Groove Welds
Compression normal to effective area Base Same as base metal 0:90Fy Weld metal with a strength level
equal to or less than “matching”
must be used
Tension or compression parallel to axis of weld
Shear parallel to axis of weld
Base weld
electrode
0:30× nominal tensile
strength of weld metal
0:75(:60FEXX)
Tension normal to effective area Base weld
electrode
0:30× nominal tensile
strength of weld metal
≤0.18× yield stress of
base metal
0.90F
y
0.8(0.6FEXX)
Fillet Welds
Stress on effective area Base weld
electrode
0:30× nominal tensile
strength of weld metal
0:75(:60FEXX)
0.9F
y
Weld metal with a strength level
equal to or less than “matching”
Tension or compression parallel to axis of weld Base 0:30× nominal tensile must be used
strength of weld metal
0.9F
y
Note: See AWS D1.1 for “matching” weld material.
Weld metal one strength level stronger than “matching” weld metal will be permitted.
Fillet welds partial-penetration groove welds joining component elements of built-up members such as flange-to-web connections.
May be designed without regard to the tensile or compressive stress in these elements parallel to the axis of the welds.Steel Structures in Industry 313
7.7.2.3 Welding in Existing Structures
Welding to existing structures, as shown in Figure 7.24, to install an extension or during retrofit projects, requires careful consideration of numerous
factors:
•	 Determine weldability and establish a welding procedure by identifying the steel grade
•	 Select and design the weld—fillet welds are preferred as they avoid
overwelding
•	 Surface preparation—remove contaminants such as paint, oil, and
grease
•	 Loads during retrofit—an engineer should determine the extent to
which a member will be permitted to carry loads while heating,
welding, or cutting
•	 Fire hazards—follow all governing codes, regulations, and safety
rules to avoid fires
7.7.3 Connection Design
The following are guidelines for connection design in most steel structures
used in the process plant, specifically the pipe support and the pipe rack.
L80 120 10
P 200 mm
2
Sec. A–A
1 1
1
1
2
P
A A
e
120 mm
FIGURE 7.23
Welded connection.314 Construction Management and Design of Industrial Concrete and Steel Structures
Example 1: Bracing Connection Design
The normal force is P
x = 80 kN, and the bracing consists of two equal angles,
100 × 100 × 10 mm.
Y
X
Z
FIGURE 7.24
Welding in an existing building.Steel Structures in Industry 315
V
H
PX
g
e S
S
y1
L
p
α
Section Properties
t
d
1
d2
d1 = 100 mm
d2 = 100 mm
t = 10 mm
A
g = 1920 mm2
The steel structure member and the connection plates grade is ASTM A36.
F
us = 400 N/mm2, ultimate strength
F
ys = 245 N/mm2, yield strength
Connection Bolts
Choose grade ASTM A325 bolts.
d = 20 mm, bolt diameter
dh = 22 mm, hole diameter
Ab gross = 314 mm2, bolt gross area
Ab net = 245 mm2, bolt net area
f
v = 145 N/mm2, allowable shear stress
f
p = 480 N/mm2, allowable bearing stress = 1.2Fu
f
t = 303 N/mm2, allowable tension stress316 Construction Management and Design of Industrial Concrete and Steel Structures
Geometry
e = 35 mm, edge distance
s = 70 mm, spacing between bolts
g = 55 mm, gauge of bolts
Nb = 2, number of bolts
t
p = 12 mm, gusset plate thickness
L
p = 200 mm, gusset plate length
Y
1 = 0
L
1 = 120 mm, buckling length
K = 0.5, the effective length factor
α = 30°
S
w = 8 mm, weld size for gusset plate
Check Stress for Bolts
F
s(all) = allowable double shear force per bolt
F
s(all) = Ab gross × fv × 2
F
s(all) = 91 kN
F
s(act) actual shear force per bolt = Px/Nb
F
s(act) = 40 kN
F
s(all) > Fs(act)
F
p(all) = allowable bearing force per bolt
F
p(all) = fp × min (2t, tp) × d
F
p(all) = 115 kN
F
p(all) > Fs(act)
Check Bracing
1. Stress on effective area
A
net, net area for brace × section = 2(Ag – t × dh)
A
net = 3400 mm2
A
e = effective area = 0.75 Anet = 2550 mm2
F
t(act), actual tension stress = Px/Ae = 31 N/mm2
F
t(all) allowable tension stress = 0.5 × Fu1 = 200 N/mm2
F
t(all) > Ft(act) OK, safe
A
t
A
v
2. Block shear capacity
Shear area A
v = 2 × t[(e + (Nb − 1) × s − (Nb − 0.5) × dh]
A
v = 1440 mm2
Tension area A
t = 2 × t × [d1 − g − 0.5 × dh]
A
t = 680 mm2Steel Structures in Industry 317
Rbs, resistance for block shear
Rbs = 0.3 × Fu1 × Av + 0.5 × Fu1 × At
Rbs > Px, OK, safe
30°
L
L 1 w
Check Gusset Plate
1. Stress on plate section at plate buckling
r
I A
tp xL
tpxL
= = radius gyration = = 3 1 / 2 tp 12
Slenderness ratio, λ = kL1/r
Cc E
F
=
2π 2
y
kL/r < Cc
F
a(all) = [1 − (kL/r)2/2Cc2]Fy/[5/3 + 3(kL/r)/8Cc − (kL/r)3/8Cc3]
F
a(act) = Px/(Lw × tp)
F
a(all) > Fa(act)
2. Stress on the plate section at point of contact with column
Distance from point where axial force is acting on the plate length, Lp,
center
H = P
xsin a
V = P
xcos a
M = ecc × H318 Construction Management and Design of Industrial Concrete and Steel Structures
PX
V
H
M ecc
α
y1
L
p
f
t(act), actual tensile stress = H/(Lp × tp) + M/(tp × Lp2/6)
f
t(act) = 67 N/mm2
f
t(all), allowable tensile stress = 0.6 × Fy
f
t(all) = 147 N/mm2
f
t(all) > ft(atc) OK, safe
f
v(act), actual shear stress = V/(Lp × tp)
f
v(act) = 29 N/mm2
f
v(all), allowable shear stress = 0.4Fy
f
v(all) = 98 N/mm2
f
v(all) > fv(atc) OK, safe
3. Block shear capacity
Shear area A
v = tp × [(e + (Nb − 1) × s − (Nb − 0.5) × dh]
A
v = 864 mm2
Tension area A
t = tp × [d1 − g − 0.5 × dh]
A
t = 408 mm2
Rbs, resistance for block shear
Rbs = 0.3 × Fu1 × Av + 0.5 × Fu1 × At
Rbs = 185 kN
Rbs > Px OK, safe
A
t
A
v
Checking Welds
We will use Electrode E70
Fw
= 0.707 × 0.3 × 70 ksi
Fw
= 14.8 ksi = 102 N/mm2
Weld Stress Components
f1
= H/(2 × L
p × sw) + M/2x(sw × Lp2/6)
f1
= 50 N/mm2
f2
= V/(2 × L
p × sw)
f2
= 21.7 N/mm2Steel Structures in Industry 319
fr
= 54.5 N/mm2
f f f
r = + 12 22
fw
> f
r OK, safe
PX
V
H
M ecc
α
y1
L
p
F
1 F
2
X
1
e X2
N
N
M
d c
base plate
e = M/N <d/6
e = d/6
e > d/6
b
f1
FIGURE 7.25
Base plate stresses.320 Construction Management and Design of Industrial Concrete and Steel Structures
7.7.4 Base Plate Design
The stresses on the base plate are shown in Figure 7.25, where d and b are the
length and width of the base plate, respectively.
f1,2 = (−N/A) + [6(Ne/bd2)]
M = f1X1 + f2X2
fa = 6M/(bt2)
Get base plate thickness (t)
The base plate dimensions are obtained from the following equations:
D = 0.95d + 100, in mm
B = 0.8b + 100, in mm
Example 1: Base Plate
Design a base plate for a hinge connection where normal force, N, equals 300 kN
and shear force, Q, equals 30 kN (Figure 7.26). The concrete characteristic strength
is 30 N/mm2.
D = 0.95 × 300 + 100 = 385 mm
B = 0.8 × b + 10 = 340 mm
fc
= 300 × 1000/385 × 340 = 2.29 N/mm2 < f
c′ OK
300 kN
d c
0.95d
0.8b
50 mm
B
D
50 mm
50 50
30 kN
FIGURE 7.26
Base plate design.Steel Structures in Industry 321
M = 2.29(50)2/2 = 2862.5 mm N/mm
t = (6M/(0.72F
y))0.5
t = 9.8 mm, use 10 mm
If welding
S = (30/2 × 0.2Fu × 300) = 6.9 mm
Bolts
A
r = 30∕(2 × 10.8)
7.8 Anchor Bolt Design
The following are definitions for the different types of anchor bolts.
Cast-in anchor: A headed bolt, anchor rod, or hooked bolt that is installed
before the concrete is placed.
Post-installed anchor: An anchor is installed in hardened concrete.
Expansion, undercut, and adhesive anchors are examples of post-installed
anchors.
Pretensioned anchor bolt: An anchor bolt that is designed to be tensioned
to a predefined force to prevent premature failure of the anchor bolt due to
fatigue.
Shear lug: A pipe or plate section welded to the bottom of a base plate that is
used to resist base shear forces.
The cast-in anchor bolt is the most traditional type in industrial projects;
however, the other types are very important for certain facilities, based on
fabricator or manufacturer requirements.
7.8.1 Anchor Bolts, Nuts, and Washers
7.8.1.1 Anchor Bolts
For most ordinary structures, ASTM A307 headed bolts, ASTM A36/A36M
rods, or ASTM F1554 grade 36 rods should be specified for ordinary strength
anchor bolts. Applications requiring high-strength materials should use
ASTM A193/A193M grade B7 or ASTM F1554 grade 105 anchor bolts and
rods.
Anchor bolt materials and their properties are shown in Table 7.14,
while the materials and properties of the anchor bolt nut are presented in
Table 7.15.
7.8.1.2 Washers
Because base plates typically have holes larger than oversized holes to allow
for tolerances on the location of the anchor rod, washers are usually furnished
from ASTM A36 steel plate. They may be round, square, or rectangular, and322 Construction Management and Design of Industrial Concrete and Steel Structures
generally have holes 2 mm larger than the anchor rod diameter. The thickness must be suitable for the forces to be transferred.
7.8.1.3 Sleeves
The sleeves are very important tools to allow small movements of anchor
bolts during the installation of the machine skid after pouring concrete.
Sleeves are recommended for use when small movements of the anchor bolt
are desired after the bolt is set in concrete. There are two types of sleeves
commonly used with anchors. A partial sleeve is primarily used for alignment requirements, while the full sleeve is used for alignment as well as
pretensioning.
Sleeves do not affect the tensile capacity of a headed anchor because the
tension in the anchor is transferred to the concrete through the head and
does not rely on the bond between the anchor and surrounding concrete.
Sleeved anchors can only resist shear forces when the sleeve is filled with
grout.
A partial-length sleeve is used where precise alignment of anchors
is required during installation equipment or where bolt groups or patterns involving six or more anchor bolts with interdependent dimensional
requirements. In this situation, the sleeve should be filled with grout after
TABLE 7.14
Anchor Bolt Materials and Properties
Anchor Material Type Fy ksi (MPa) fut ksi (MPa) Galvanize? Ductile?
A307 Not clearly
defined
60 (410) Yes Yes
A 36 or f1554 grade 36 36 (250) 58 (400) Yes Yes
F1554 grade 105 105 (720) 125 (860) Yes Yes
A 193 trade and
760 bassed on
bolt diameter (db)
d
o ≤ 64 mm 105 (720) 125 (860) No Yes
64 > d
o ≤
102 mm
95 (660) 115 (790) No Yes
d
o > 102 mm 75 (515) 100 (690) No Yes
TABLE 7.15
Anchor Bolt Nut Specifications
Anchor Material Specification Nut Material Specification
ASTM A307, Grade A ASTM A563, Grade A
ASTM A36/A36M ASTM A563, Grade A
ASTM F1554, Grade 36 ASTM A563, Grade A
ASTM A193/A193M, Grade B7 ASTM A563, DH Heavy Hex, or ASTM A194/A194M
ASTM F1554 Grade 105 ASTM A563, DH Heavy Hex, or ASTM A194/A194MSteel Structures in Industry 323
installation is complete. Partial-length sleeves should not be used for base
plates on structural steel columns that have oversized holes.
Full-length anchor bolt sleeves are used when anchor bolts will be pretensioned in order to maintain the bolt under continuous tensile stress during
load reversal. Pretensioning of anchor bolts requires the bolt to be unbonded
over a well-defined, stretched length. When sleeves are used for pretensioned
bolts, the top of these sleeves should be sealed and the sleeve should be filled
with elastomeric material to prevent grout or water from filling the sleeve.
For vessels of significant height, where the wind effect is high, the forces
on the anchor bolt will also be high and the friction between the anchor bolt
and concrete is not sufficient to carry the force on the anchor bolt. The placement of a plate, connected to the lower point of the anchor bolt, is recommended. This is illustrated in Figure 7.27.
FIGURE 7.27
Anchor bolt detail.324 Construction Management and Design of Industrial Concrete and Steel Structures
7.8.2 Anchor Bolt Plate Design
The three anchor bolts are connected by the steel plate and the thickness of
this plate must be sufficient to withstand the load from the anchor bolts.
� � �
�
�T �T �T
a
b
b = 3d
where d is the anchor bolt diameter.
l = lmin = lRC − 100
Tbond = Fb × 3.14 × d × lmin
where
lRC = Concrete foundation depth
Fb = Concrete bond strength
T
e = T − Tb
W = 3T
e/(ba) ≤ fc′
(M/0.72Fy) = (bt2∕ 6), get t
7.8.3 Coatings and Corrosion
Corrosion is the biggest enemy of steel, so corrosion is a serious situation
affecting the strength and design life of the anchor. When deciding which
anchor material to use, or what precautions to take against corrosion, consider the elements that will be in contact with the anchor bolts and the environmental conditions surrounding it, such as the water table, humidity, salt
water, and caustic gases.
Galvanizing is a common option for ASTM A307 bolts and ASTM A36/
A36M and ASTM F1554 threaded rods. Hot-dip galvanizing is not recommended for ASTM A193/A193M, grade B7, anchor bolts because of theSteel Structures in Industry 325
possibility of hydrogen embrittlement that can be caused by the hot-dip galvanizing process.
A practical design for the anchor should consider at least 3 mm as a corrosion allowance in the anchor bolt diameter if it is near highly corrosive
environments—such as a building near a coastal area—or if it is washed
periodically, as in the case of regular testing of fire-fighting systems.
Pedestal design and anchor arrangement should consider water collection
and anchor environment to reduce the amount of contact with corrosive substances or plant wash-down water. Therefore, the tops of pedestals are usually at least 150 mm above the finished paving surface.
Painting the anchor bolts will protect them, but they may require more
maintenance. ASTM A193/A193M anchors are required to be painted. If the
engineer determines that prolonged contact with a corrosive substance is
unavoidable, a metallurgist consultant should determine whether another
anchor material or protective options are appropriate. These precautions will
be discussed in Chapter 9.
7.8.4 Bolt Types, Details, and Layout
It is traditional to use cast-in-place anchor bolts that come in several configurations. Headed bolts, threaded rods with heavy hex nuts, and J- and
L-shaped anchor rods are some common examples. Current design practices
do not rely on the concrete bond to develop the tension capacity of smooth
rods bent into J and L shapes. While these bolts are still recognized in ACI
318-02, they have no advantage over headed bolts and can be harder to fit
into small foundation pedestals.
Determining the number, type, projection, and diameter of anchor bolts
should be done as follows:
•	 Structural steel base plates require a minimum of four anchor
bolts for stability during construction per the latest OSHA safety
requirements.
•	 The layout of the anchor bolts and required foundation pedestal
size should be established based on the design forces and minimum
dimensions in Section 6.3 below.
•	 The minimum anchor bolt size is 20 mm for most items. However,
there are exceptions made for very small pieces of equipment, or
when suggested by the manufacturer, or for small miscellaneous
steel items such as ladders, stair stringers, small base pipe supports,
etc.
•	 For most structures and equipment, ordinary strength anchor
bolts can be used (ASTM A307, A36/A36M, or F1554, grade 36). If
the anchor bolt loads require anchor bolts in excess of 50 mm, highstrength anchor bolt materials should be considered.326 Construction Management and Design of Industrial Concrete and Steel Structures
7.8.4.1 Anchor Bolt Projection
Anchor bolt projection above the top of concrete is computed as follows:
•	 For single nuts
P = t
g + tp + 1.5d
•	 For double nuts
P = t
g + tp + 2.5d
where
P = Anchor bolt projection above concrete
tg
= Thickness of grout
t
p = Thickness of base plate
d = Diameter of anchor bolt
The thread length required at the top of the anchor bolt must be sufficient to
accommodate two nuts and about ½ of the anchor bolt diameter projecting
above the top nut. Normally, a thread length is about 3 bolt diameters, to provide some tolerance for errors in the elevation of the anchor bolt placement
during construction.
The minimum edge distance shall be in accordance with ACI Standard
318 and ASCE recommendations. Minimum embedment and anchor spacing
should be in accordance with the recommendations of the ASCE Anchor Bolt
Report. Table 7.16 presents the different types of anchor bolt shapes for different pieces of equipment traditionally in industrial facilities.
TABLE 7.16
Types of Anchor Bolts
Equipment Type Bolt
Anchor Bolt Shape
J K X
Stair at 45° inclination M16 ×
Ladders M12 ×
Steel structure Variable ×
Horizontal vessel and heat exchanger M20/M24 ×
Vertical vessel on steel leg support Variable ×
Pie racks M24/M30 ×
Stacks, pumps, and compressor and
vertical vessel with skirt
Variable ×
For high-precision installation Variable ×Steel Structures in Industry 327
The anchor bolts shown in Figures 7.28, 7.29, and 7.30 reflect the approximate
dimensions of these anchor bolts based on concrete characteristic strength 30
N/mm2. These dimensions are used as guidelines and presented in Table
7.17. These dimensions should be verified before use. Table 7.18 presents the
height of the threaded parts of different diameters.
7.8.4.2 Edge Distance
The clear distance for anchor bolts or anchor bolt sleeves to the edge of the
concrete shall be a minimum of 100 mm. This clear distance is intended to
S
SLEEVE
D
T 1 1
L
1
d L
4d
R = N d
D
2
FIGURE 7.29
Anchor bolt, type J.
d
L S
4d
R = N d
FIGURE 7.28
Anchor bolt type J.328 Construction Management and Design of Industrial Concrete and Steel Structures
prevent corrosion and to make sure that the anchor bolts are not in contact
with the rebar cage. ACI 318 requires that cast-in headed fasteners that will
be torqued have minimum edge distances of 6d. For constructability reasons,
the ASCE Anchor Bolt Report recommends a minimum edge distance of 4d
for ASTM A307, A36, or their equivalent and 6d for high-strength bolts. The
minimum bolt spacing is 8d.
7.8.4.3 Embedment Depth
In industry, there will be tall vessels and structures subjected to heavy
wind or seismic loads, so large diameter anchor bolts and higher embedment lengths are necessary to transfer the loads from the anchor bolts to the
concrete.
There is no minimum embedment depth specified in ACI 318, so long as
there is enough effective embedment depth to resist uplift forces. If ductility is required, greater embedment may be necessary. The ASCE Anchor Bolt
Report recommends a minimum embedment depth of 12d.
7.8.5 Calculation of Vessel Anchor Bolts
Based on ASCE, the vertical vessel anchor bolt maximum tension is calculated by assuming elastic distribution of forces and moment, which is based
on the moment of inertia of the bolt group.
L S
T
A A
SQUARE PLATE
d
D
1
D
2
L
T1 1
FIGURE 7.30
Anchor bolt, type X.Steel Structures in Industry 329
T M
N B
W N
b
C
=
⋅
−
4
(7.5)
where
Tb = Tension force on the anchor bolt
M = Maximum moment on vessel
N = Number of anchor bolts
B
C = Bolt circle diameter
W = Minimum weight of vessel
Equation (7.5) is conservative as it assumes that the moment is resisted
only by the bolt group. This equation may provide a large embedment length
TABLE 7.17
Approximate Dimensions for Anchor Bolt Types J, K, and X (in mm)
d N L H1 T1 D2 D1 Ta Ba La
10 2.5 320 100 8 80 110
12 2.5 360 100 8 80 110
14 2.5 390 100 8 80 110
16 2.5 400 100 8 80 110
18 2.5 400 100 8 80 110
20 2.5 420 100 8 80 110 15 80 380
22 2.5 460 150 8 80 110 20 80 380
24 2.5 460 150 8 80 110 20 80 380
26 2.5 500 150 10 100 130 20 80 460
28 2.5 500 150 10 100 130 30 80 460
30 3.5 520 150 10 100 130 30 80 430
32 3.5 560 150 10 100 130 30 100 530
34 3.5 560 200 10 100 130 30 100 530
36 200 10 100 130 30 100 540
38 200 14 100 180 30 100 600
42 200 14 150 180 40 100 630
46 200 14 150 180 40 100 690
50 250 14 150 180 40 150 750
52 250 14 150 180 40 150 780
56 250 14 150 240 40 150 840
60 300 14 200 240 45 150 900
64 300 14 200 240 50 150 960
a Anchor bolt type X has a bolt size larger than 20 mm.330 Construction Management and Design of Industrial Concrete and Steel Structures
and can control the design in case of tall vessels and stacks. Another sophisticated solution uses the iteration method to define the natural axis location
and determine the compressive area and tensile forces in the bolt.
7.8.6 Anchor Bolt Strength Design
A ductile anchorage design can be defined as one where the yielding of the
anchor (or the reinforcement or the attachment that the anchor attaches to)
controls the failure of the anchorage system. This will result in large deflections, redistribution of loads, and absorption of energy prior to any sudden
loss of capacity of the system resulting from a brittle failure of the concrete,
according to the ASCE Anchor Bolt Report.
Anchors embedded in concrete and pulled to failure fail either by pullout
of the concrete cone or by tensile failure of the anchor itself. The former is
a brittle failure and the latter is a ductile failure. A brittle failure is sudden
and without warning, possibly causing catastrophic results. In contrast, a
ductile failure will cause the steel to yield, elongate gradually, and absorb
TABLE 7.18
Height of Threaded Part (mm)
Anchor Bolt
Diameter
Height of Threaded Part
One Nut and Washer Two Nuts and Washer
10 15 25
12 20 30
14 25 40
16 25 40
18 30 50
20 30 50
22 35 55
24 35 60
26 40 70
28 40 75
30 45 75
34 50 85
36 55 90
38 60 100
42 65 105
46 70 115
50 75 125
52 80 130
56 85 140
60 90 150
64 95 160Steel Structures in Industry 331
a significant amount of energy, often preventing structures from collapsing. Consequently, when the design of a structure is based upon ductility
or energy absorption, one of the following mechanisms for ductility shall be
used. The anchors shall be designed to be governed by the tensile or shear
strength of the steel and the steel shall be a ductile material.
7.8.6.1 Ultimate Strength Design
When bolts are subjected to both tension and shear, the following equation
will apply.
T P
V V
u
n
u
φ φ 1 2 n
1


+


≤ (7.6)
where
Tu
= Factor tensile load per bolt
ϕ1 = 0.9, strength reduction factor for tension load
Vu
= Factored shear force per bolt
ϕ2 = 0.85, strength reduction factor for shear loads
ϕ1Pn = ϕtFtAs
where
Ft
= The smaller of 1.0 times bolt yield stress or 0.9 times bolt tensile strength
A
t = Bolt tensile stress area
ϕ2Vn = ϕ2 μ fyAs
where
μ = friction coefficient from ACI 349 Appendix B
= 0.55 when the bottom of the base plate is raised above the concrete
surface as on a grout bed
= 0.7 when the bottom of the base plate is on the concrete surface
= 0.9 when the top of the base plate is at or below the concrete surface
F
y = Anchor bolt yield stress
A
s = Bolt tensile stress area
7.8.6.2 Allowable Stress Design
AISC ASD provides allowable stress design requirements for ASTM A307
and that is valid for A36, A325, A449, and A490 bolts. Based on ASCE, this
equation is considered conservative:
f F
f F
t t
v v


+


= 1332 Construction Management and Design of Industrial Concrete and Steel Structures
where
Ft
= Calculated tensile stress
Fv
= Calculated shear stress
Ft
= Allowable tensile stress = 0.33F
u
F
v = Allowable shear stress
= 0.22F
u in case of threaded, excluded from the shear plane
= 0.17F
u in case of threaded, included in shear plane
7.8.6.3 Calculate Required Embedment Length
Design an embedment using a straight reinforcing bar welded to an embedment plate as shown in Figure 7.31.
l
f f
c k d
d y d
c tr /
=


′   +  
3
40
αβγ
( )
Assume no transverse reinforcement (ktr = 0). Use ld = 24 in. with no adjacent
anchors or edges ([c + ktr]/db = 2.5, max.), more than 300 mm of fresh concrete
to be cast below the anchor (α = 1.3), uncoated anchor (β = 1.0), and a 19-mm
bar (γ = 0.8).
Determine the required embedment length for the stud to prevent concrete cone
failure. The design pullout strength of the concrete, Pd, must exceed the minimum specified tensile strength (Asfut) of the tensile stress component, as
shown in Figure 7.32.
Pd > As fut
FIGURE 7.31
Reinforcing bar anchor.Steel Structures in Industry 333
P f d c = φ4 ′ACP
A L cp = + π φ  ( ) d h d f /2 2   4 c s ′ ≥ A fut
7.8.7 Anchor Design Considerations
If the base plate is designed with oversized bolt holes and there is a shear
load in excess of the amount that can be transmitted through friction, it is
recommended that:
1. Shear lugs be used.
2. A mechanism to transfer the load from the base plate to the bolt without slippage is incorporated (such as welding washers in place).
If no tensile force is effectively applied to the anchors, the anchors need not
be designed for tension. Where the tensile force is adequately transferred to
properly designed rebar, there is no requirement to check the concrete breakout strength of the anchor or anchors in tension. If the anchors are welded to
the attachment so as to distribute the force to all fasteners, the strength may
be based on the strength of the row of anchors farthest from the edge.
Th
L
d
dh
FIGURE 7.32
Embedment stud.334 Construction Management and Design of Industrial Concrete and Steel Structures
7.8.8 Pretensioning
Pretensioning of anchor bolts can be used to effectively fix the base plate to
the foundation. The primary application for pretensioning is for large vibrating equipment, tall process columns, and cantilever stacks. Pretensioning
anchor bolts will virtually eliminate fatigue stresses in the anchor bolts and
is also effective in eliminating shear forces on the bolts. Proper anchor bolt
details, careful installation procedures, and field quality controls are essential to ensure that the anchor bolts are successfully tensioned.
The advantages of the pretension anchor bolt is that it can prevent stress
reversals on anchors susceptible to fatigue weakening, may increase dampening for pulsating or vibrating equipment, and will decrease, to some extent,
the drift for process towers under wind or seismic load. It will also increase
the frictional shear resistance for process towers and other equipment.
The disadvantage of this type of anchor bolt is that it can be a costly process to accurately install them and there is no recognized code or authority
that gives guidance on the design and installation of pretensioned anchors.
There is little research in this area so specifications depend on the requirements of the manufacturer.
Pretensioning should always be done when recommended by the equipment manufacturer. The manufacturer’s instructions should be followed
carefully. When not otherwise specified, anchors for turbines and reciprocating compressors should be torqued to the values shown in Table 7.19.
When pretensioning is required, high-strength anchors should be used.
Pretensioned anchor bolts should also be considered for tall process columns
or cantilever stacks, which can develop significant bolt tension under wind
loads or seismic loads.
References
Standard HB-17. 2002. AASHTO Standard Specifications for Highway Bridges, 17th edition. Washington, DC: American Association of State Highway Transportation
Officers.
TABLE 7.19
Pretension Load and Torque Recommendation
Nominal Bolt Diameter (mm) Torque (N m) Pretension Load (kg)
M16 60 3,311
M24 100 7,447
M30 160 18,247
M52 245 37,136
Note: Based on 30 ksi bolt internal stress.Steel Structures in Industry 335
ACI Standard 318-05/318R-05. 2005. Building Code Requirements for Structural Concrete
and Commentary. Farmington Hills, MI: ACI.
ACI Standard 350/350R-01. 2001. Environmental Engineering Concrete Structures.
Farmington Hills, MI: ACI.
ACI Standard 530/ASCE 5. 2002. Building Code Requirements for Masonry Structures.
Farmington Hills, MI: ACI.
AFPA NDS-2005. 2005. National Design Specification for Wood Construction. Washington,
DC: American Forest and Paper Association.
AFPA. 2005. NDS Supplement—Design Values for Wood Construction. Washington, DC:
American Forest and Paper Association.
AISC Standard 316-89. 1989. Manual of Steel Construction: Allowable Stress Design.
Chicago, IL: AISC.
AISC Standard 316-89. 1989. Manual of Steel Construction: Load and Resistance Factor
Design (LRFD). Chicago, IL: AISC.
AISC Standard S334L. 1999. Specification for Structural Joints Using ASTM A325 or A490
Bolts. Chicago, IL: AISC.
AISI Standard ANSI/AISC 341-02. 2002. Seismic Provisions for Structural Steel Buildings.
Washington, DC: American Iron and Steel Institute.
AISI Standard SG 673, Part I. 1987. Specification for the Design for Cold-Formed Steel
Structural Members. Washington, DC: American Iron and Steel Institute.
AISI Standard SG 673, Part II. 1987. Commentary on the Specification for the Design for
Cold-Formed Steel Structural Members. Washington, DC: American Iron and Steel
Institute.
AISI Standard SG 913, Part I. 1991. Load and Resistance Factor Design Specification for
Cold-Formed Steel Structural Members. Washington, DC: American Iron and Steel
Institute.
AISI Standard AISI SG 913, Part II. 1991. Commentary on the Load and Resistance Factor
Design Specification for Cold-Formed Steel Structural Members. Washington, DC:
American Iron and Steel Institute.
API Standard 650. 1998. Welded Steel Tanks for Oil Storage, 10th edition. Washington,
DC: API.
ASCE Standard 7-02. 2002. Minimum Design Loads for Buildings and Other Structures.
Ann Arbor, MI: ASCE.
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Ann Arbor, MI: ASCE.
ASCE. 1997. ASCE Guidelines for Seismic Evaluation and Design of Petrochemical Facilities.
Ann Arbor, MI: ASCE.
ASCE Standard 40262. 1997. Wind Load and Anchor Bolt Design for Petrochemical
Facilities. Ann Arbor, MI: ASCE.
ASCE. 1997. ASCE Design of Blast Resistant Buildings in Petrochemical Facilities. Ann
Arbor, MI: ASCE.
American Society of Mechanical Engineers (ASME). A17.1. 2007. Safety Code for
Elevators and Escalators. New York, NY: ASME.
ASTM Standard A36/A36M. 2001. Standard Specification for Carbon Structural Steel,
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Reinforcement. West Conshohocken, PA: ASTM International.
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Steel Bolting Materials for High-Temperature Service. West Conshohocken, PA:
ASTM International.
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60,000 psi Tensile Strength. West Conshohocken, PA: ASTM International.
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8
Assessment of Existing Structures
8.1 Introduction
Typically, the main cause of deterioration of reinforced concrete structures
in oil and gas facilities is corrosion. Most of the oil and gas delivered to these
onshore facilities comes from offshore, so they are usually located near the
sea and, therefore, affected by chloride from seawater.
When concrete structure shows signs of corrosion, we want to repair it.
Before we do that, however, we must accurately evaluate the building and
identify the underlying environmental conditions. After performing a structural risk assessment, we can identify the parts of the concrete elements that
need to be repaired and determine the method of repair. When the assessment method is correct, and accurately determines the degree of building
risk, the repair process will also be correct, adequate, and precise. In medicine, if the diagnosis of a disease is correct, the selected medicine will also be
right. The process of building assessment is the preliminary step in diagnosing the causes of defects in the structure as a result of corrosion.
We will think in two directions: determine the method of repair and defining reasonable protection methods to protect the steel bars from corrosion.
The process of assessing a structure often occurs in two stages. The first
stage, the initial assessment of the building, involves defining the problem
and developing a valuation of the structure. In the second stage, a detailed
assessment of the building carefully defines the problems and the reasons
for them. At this stage, the detailed inspection of the whole building will be
carried out. A basis has been established for the inspection and evaluation of
buildings through Technical Report 26 of the Concrete Society (1984), as well
as the standards of the American Concrete Institute.
There are many reasons for the deterioration of reinforced concrete structures, from the presence of cracks to falling concrete. Among those reasons
are increasing stresses, plastic shrinkage, frost, cracked concrete (in the case
of plastic concrete), movement of the wood form during construction, and, in
the case of an aggregate, contamination of the aggregate by alkalinity.
There are also some structures, such as reinforced concrete pipelines in
sanitary projects and underground concrete structures (e.g., tunnels), in338 Construction Management and Design of Industrial Concrete and Steel Structures
which the surface contacts the soil directly, where the carbonate present in
the water attacks the concrete. This is a type of deterioration that is important to consider. We will also discuss corrosion resulting from the exposure
of a concrete structure to the atmosphere.
As stated previously, there are several types of cracks. Therefore, the engineer performing the evaluation must be highly experienced in that area so
that he can specify precisely the cause of the deterioration in the concrete.
A wrong diagnosis will result in the wrong repair, which will cause heavy
financial losses and a negative impact on structural safety.
Evaluation of the structure involves a structural assessment, assessment
of the state of corrosion, and evaluation of the rate of corrosion and the possibility of the concrete collapsing. From the information gathered, we can
decide if the concrete member can withstand loads. A case study will also
be performed to assess if there is deflection occurring that is more than the
allowable limit. If so, this will cause cracks or, in case of reduction of the
cross-section area, falling concrete cover.
8.2 Preliminary Inspection
In this inspection, it is important to identify clearly the geographic location of
the structure, the nature and circumstances of weather conditions surrounding the structure, the method of construction of the structure, its struc tural
system, and the method of loading.
This assessment is often performed preliminarily by visual inspection,
concentrating on cracks and falling concrete. Data are collected about the
thickness of the concrete cover and the nature of the structure. This includes
assessment of the quality of the concrete, quality of construction, and the
nature of the structural system, whether it consists of a beam and column
system, a slab on load-bearing masonry, or prestressed or precast concrete.
All such information is preliminary. It is necessary to perform some simple
measurements. For example, to determine the depth of chloride in the concrete, it is necessary to take a sample from the concrete that fell and perform
laboratory tests on it. The safety of the structure must be calculated precisely,
especially after reduction of the cross-sectional area of steel due to corrosion,
as well as after the fall of the concrete cover, which reduces the total area of
the concrete member. These two areas are the main coefficients that directly
affect the capacity of the concrete member to carry loads.
8.2.1 Collecting Data
The following data must be collected before the visual inspection can be performed and must be stated in the structure assessment report:Assessment of Existing Structures 339
•	 Construction year
•	 The contractor and engineering office
•	 The structure system
•	 The drawings and project specifications
•	 The construction method
•	 The concrete tests, if applicable
•	 The environmental conditions (near sea or chemical factory)
All of the data must be provided to you by the owner, if you are a thirdparty expert. In most cases, all of the data cannot be collected, as you will
be inspecting a structure that may be more than 20 or 30 years old and the
drawings and specifications will not be available, as there were no software
drawing programs at that time. All the hardcopy drawings, in most cases,
will be lost or in bad condition. If the owner has a big organization with
an engineering department, there may be a document control system and
you can find the drawings if the building is an office or industrial structure.
For residential buildings, you will be very lucky if the owner still has these
drawings.
The construction year is very critical information. From this you can
define the codes and specifications that were applied in that year, depending
on your experience. By knowing the construction year, the contractor who
constructed the building, and the engineering office that provided the engineering design, one can imagine the condition of the building based on the
reputation of the contractor and the engineering office.
The construction system can be determined by visual inspection, through
drawings, or by talking with the users of the building and the engineering
office that reviewed the engineering design documents or supervised the
construction. The information about environmental conditions will be provided to you by the owner. You can also observe the conditions onsite and
collect data about the environmental condition from other sources, taking
into consideration all the data—temperatures in the summer, winter, morning, and night, as well as the wind and wave effect.
If you are an owner, you must be sure that all the necessary data are delivered to the consultants who do the inspection, as any information is valuable. Engineering work is like a computer—good in, good out, and, of course,
rubbish in, rubbish out. So you must verify all the data that you deliver to the
expert performing the building assessment.
In an industrial facility plant, the conditions and mode of operations are
not clear to the consultant engineer, so the report that you must deliver to
him about the vibration of the machines, the heat of liquid in pipelines, and
so on, has a major important impact on the concrete structure assessment
result. Take into consideration when collecting data from a process plant or
factory that the mode of operations may change from time to time, so an340 Construction Management and Design of Industrial Concrete and Steel Structures
inclusive history must be delivered to the engineers who perform the evaluation process. Those persons are usually structural engineers and not familiar with these situations.
If the data of wind and waves do not exist or are not known, you must
obtain it from a third party specialized in metocean criteria. This information is very important in the case of offshore structures or marine structures
where the assessment depends on these data if wind and waves represent
the loads most affecting the structure.
Concrete compressive strength tests are usually performed in any building
by cylinder specimens (in American code) or cube specimens (in the British
standard), but it is often a problem to find these data after 20 years or more,
depending on the age of the building. If these data are not available, a test
must be performed using the ultrasonic pulse velocity test, Schmidt hammer, or core test.
8.2.2 Visual Inspection
Visual inspection is the first step in any process of technical diagnosis, and it
starts by generally viewing the structure as a whole and then concentrating
afterward on the general defects that define precisely the corrosion deterioration and the extent of corrosion on the steel reinforcement.
As we have stated before, the process of assessing the building must be performed by an expert, as the cracks in the concrete structure may not be the
cause of the corrosion. Corrosion is not the only factor that can cause cracks;
however, it is the main factor in major deterioration of structures. Figure
8.1a, b, and c illustrates the various forms and causes of cracks in beams,
slabs, and columns.
In general, cracks in concrete can have many causes. They may affect
appearance only or they may indicate significant structural distress or a lack
of durability. Cracks may represent the total extent of the damage or they
may point to problems of greater magnitude. Their significance depends on
the type of structure, as well as on the nature of the cracking. For example,
cracks that are acceptable for building structures may not be acceptable for
water-retaining wall structures.
The proper repair of cracks depends on knowing the causes of the cracks
and selecting the repair procedures that take these causes into account;
otherwise, the repair may only be temporary. Successful long-term repair
procedures must prevent the causes of the cracks, as well as the cracks
themselves.
Cracks may occur in plastic concrete or hardened concrete. Based on ACI
code, examples of plastic concrete cracks include plastic shrinkage cracking, settlement cracking, and, after hardening, dry shrinkage cracking. The
Concrete Society’s Technical Report 54 (2000) mentions that different types of
cracks occur at different times in the life of a concrete element, as shown in
Table 8.1. So, along with recognition of a crack pattern, knowledge of the timeAssessment of Existing Structures 341
of the first appearance of the cracks is helpful in diagnosing the underlying
cause.
8.2.2.1 Plastic Shrinkage Cracking
Plastic shrinkage cracking in concrete occurs most commonly on the exposed
surfaces of freshly placed floors and slabs and other elements with large surface areas when they are subjected to a very rapid loss of moisture caused
by low humidity and wind, high temperatures, or both. Plastic shrinkage usually occurs before final finishing, before the start of curing. When
Result of sulfate salt Aggregates with alkaline
** Cracks due to steel corrosion Cracks due to shrinkage
(Cracks parallel to steel bars)
Cracks due to increased load on the slab
(a)
FIGURE 8.1
(a) Types of cracks in reinforced concrete slabs. (continued)342 Construction Management and Design of Industrial Concrete and Steel Structures
moisture evaporates from the surface of freshly placed concrete faster than it
is replaced by bleed water, the surface concrete shrinks.
Due to the restraint provided by the concrete on the drying surface layer,
tensile stresses develop in the weak, stiffening plastic concrete, resulting in
shallow cracks that are usually not short and run in all directions. In most
cases, these cracks are wide at the surface. They range from a few millimeters to many meters in length and are spaced from a few centimeters to as
much as 3 m apart. Plastic shrinkage cracks may extend the full depth of
elevated structural slabs.
A
A
Sec. A–A Cracks parallel to main steel in case of corrosion
Cracks due to increased shear stress
Cracks due to corrosion or insufficient concrete cover
Cracks due to increased bending stress
Cracks due to compression failure
(b)
FIGURE 8.1 (continued)
(b) Types of cracks in reinforced concrete beams. (continued)Assessment of Existing Structures 343
8.2.2.2 Settlement Cracking
After initial placement, vibration, and finishing, concrete has a tendency
to continue to consolidate. During this period, the plastic concrete may be
locally restrained by reinforcing steel, a prior concrete placement, or formwork. This local restraint may result in voids or cracks adjacent to the restraining element, as shown in Figure 8.2. When associated with reinforcing steel,
Cracks due to corrosion
Cracks due to increased column load
Cracks due to eccentricity
(c)
FIGURE 8.1 (continued)
(c) Types of cracks in reinforced concrete columns.
TABLE 8.1
Typical Times for Appearance of Defects
Type of Defect Typical Time of Appearance
Plastic settlement cracks 10 min to 3 h
Plastic shrinkage cracks 30 min to 6 h
Crazing 1–7 days, sometimes much longer
Early thermal contraction cracks 1 to 2 days until 3 weeks
Long-term drying shrinkage cracks Several weeks or months
Note: From the Concrete Society Technical Report 54.344 Construction Management and Design of Industrial Concrete and Steel Structures
settlement cracking increases with increasing bar size, increasing slump,
and decreasing cover. The degree of settlement cracking will be magnified by insufficient vibration or the use of leaking or highly flexible forms.
Proper form design, adequate vibration, provision of a sufficient time interval between the placement of concrete in slabs and beams, use of the lowest possible slump, and an increase in concrete cover will reduce settlement
cracking.
8.2.2.3 Drying Shrinkage
The common cause of cracking in concrete is drying shrinkage. This type
of shrinkage is caused by the loss of moisture from the cement paste constituent, which can shrink by as much as 1% per unit length. Unfortunately,
aggregate provides internal restraint that reduces the magnitude of this volume change to about 0.05%. On wetting, concrete tends to expand.
These moisture-induced volume changes are a characteristic of concrete. If
the shrinkage of concrete could take place without any restraint, the concrete
would not crack. It is the combination of shrinkage and restraint, usually
provided by another part of the structure or by the subgrade, that causes
tensile stresses to develop. When the tensile stress of concrete is exceeded, it
will crack. Cracks may propagate at much lower stresses than are required
to cause crack initiation.
In massive concrete structural elements, as in the case of a foundation
under a heavy machine, tensile stresses are caused by differential shrinkage between the surface and the interior concrete. Larger shrinkage at the
surface causes cracks to develop that may, with time, penetrate deep into the
concrete. The magnitude of the tensile stress is influenced by a combination
of the following list of factors:
1. The amount of shrinkage
2. The degree of restraint
FIGURE 8.2
Settlement cracking.Assessment of Existing Structures 345
3. The modulus of elasticity
4. The amount of creep
The amount of drying shrinkage is influenced mainly by the amount and
type of aggregate and the water content of the mix. The greater the amount of
aggregate, the smaller is the amount of shrinkage. The higher the stiffness of the
aggregate, the more effective it is in reducing the shrinkage of the concrete. This
means that concrete that contains sandstone aggregate has a higher shrinkage,
by about twice, than that of concrete containing granite, basalt, or limestone.
The higher the water content, the greater the amount of drying shrinkage.
Surface crazing on walls and slabs is an excellent example of drying shrinkage on a small scale. Crazing usually occurs when the surface layer of the concrete has a higher water content than the interior concrete. The result is a series
of shallow, closely spaced, fine cracks. Shrinkage cracking can be controlled by
using properly spaced contraction joints and proper steel detailing. Shrinkage
cracking may also be controlled using shrinkage-compensating cement.
8.2.2.4 Thermal Stresses
Temperature differences within a concrete structure may be due to cement
hydration, changes in ambient temperature conditions, or both. These temperature differences result in differential volume changes. The concrete will
crack when the tensile strains due to the differential volume changes exceed
their tensile strain capacity.
The effects of temperature differentials due to the hydration of cement are
normally associated with mass concrete such as large columns, piers, beams,
footing, retaining walls, and dams, whereas temperature differentials due to
changes in the ambient temperature can affect any structure. The concrete
rapidly gains both strength and stiffness as cooling begins. Any restraint
of the free contraction during cooling will result in tensile stress. Tensile
stresses developed during the cooling stage are proportional to the temperature change, the coefficient of thermal expansion, the effective modulus of elasticity, and the degree of restraint. The more massive the structure,
the greater the potential for temperature differential and higher degrees of
restraint. Procedures to help reduce thermally induced cracking include
reducing the maximum internal temperature, controlling the rate at which
the concrete cools, and increasing the tensile strain capacity of the concrete.
Hardened concrete has a coefficient of thermal expansion that may range
from 7 to 11 × 10−6/C with an average of 10 × 10−6/C. When one portion of a
structure is subjected to a temperature-induced volume change, the potential for thermally induced cracking exists. The designers must give special
consideration to structures in which some portions are exposed to temperature changes, whereas other portions of the structure are either partially or
completely protected. A drop in temperature may result in cracking in the
exposed element, whereas increases in temperature may cause cracking in346 Construction Management and Design of Industrial Concrete and Steel Structures
the protected portion of the structure. So the designer must allow movement
in the structure by recommending the use of contraction joints and providing the correct details for it.
Structures that have a high difference in temperatures are usually built in
areas near the desert, where there are greater differences in temperature
between afternoon and midnight. Moreover, in countries with high temperatures, they usually use air conditioning inside the building, so there will be a
high probability of cracks due to the difference in temperatures inside and outside the building. So, the designer should take these stresses into consideration.
8.2.2.5 Chemical Reaction
As shown in Figure 8.1a, cracks resembling a star on the concrete surface are
an indication of chemical reaction. This reaction occurs with the presence of
aggregate containing active silica and alkalis derived from cement hydration, admixtures, or external sources such as curing water, ground water, or
alkaline solutions stored or used in the finished structure. The alkali–silica
reaction results in the formation of a swelling gel, which tends to draw water
from other portions of the concrete. This causes local expansion and accompanying tensile stresses and may eventually result in the complete deterioration of the structure.
Groundwater that has sulfate is a special durability problem for concrete.
Because the sulfate penetrates hydrated cement paste, it comes in contact
with hydrated calcium aluminates. Calcium sulfoaluminate will form, and
the accompanying increase in volume results in high-tensile stresses that
cause cracking. Therefore, it is recommended to use Portland cement types II
and V, which contain low tricalcium aluminates and will reduce the severity
of the cracks.
As noted in the following figures, in case of corrosion in the steel reinforcement, the cracks you will see will be parallel to the steel bars of any concrete
members such as beams, slabs, and columns. Moreover, brown spots on the
concrete surface are an indication of corrosion in the steel reinforcement. At
this stage, we rely solely on the experience of the engineers who perform the
inspection. This is a disadvantage of the visual inspection—it is completely
dependent on the experience of the engineer performing the inspection, as
there are some cracks that can have more than one cause, with or without the
corrosion effect.
8.3 Detailed Inspection
The purpose of the detailed inspection is to determine, accurately whenever possible, the degree of seriousness of the deterioration of the concrete.Assessment of Existing Structures 347
Therefore, the number of collapses that have occurred, the cause of the deterioration in the concrete, and the amount of repair that will be needed must be
defined precisely at this stage, as such quantities will determine the amount
placed in the tender that will be put forward to contractors for repair.
At this stage, we need to be familiar with the reasons for the deterioration,
in detail, and the capability to perform a failure analysis technique. Initially,
we will use the method of visual inspection, maybe in conjunction with the
use of a small hammer. We will use other measurements to determine the
depth of the transformation of carbon in the concrete and the degree of corrosion of the steel in concrete and how far it extends in the steel bars. Moreover,
at this stage, it is important to define the degree of the concrete’s electric
resistivity to predict the corrosion rate. All of these required measurements
will be discussed in this chapter. As you should know, the weather conditions that affect the building are the main factor that affects the measurement readings and also affect the selection of the method of repair.
8.3.1 Methods of Structure Assessment
There are several methods by which to assess the structure, as mentioned in
terms of the degree of extension of corrosion in the steel reinforcement bars
and its impact on the whole structure. The first and most important method
is the visual inspection, as it is a cost-effective and easy-to-use method.
This is followed by other methods that require capabilities and are often
used in the case of structures of special importance with a high cost of repair.
These require the use of sophisticated technology to identify the degree of
corrosion of the steel reinforcement in concrete with high accuracy as it
affects the total cost of the state of structure. Concrete bridges and special
buildings, such as parking garages, tunnels, and other special concrete structures, are examples of such structures.
Each of the measurement tools that are used has a specific accuracy with
advantages and disadvantages. In general, the process of assessing the structure from corrosion attack must be conducted by a person who has an acceptable amount of experience with the process of corrosion. Experience is key
here and plays a major role in a successful assessment. However, there are
some devices that rely on experience only for their use and for the knowledge of environmental factors that affect the equipment readings and how
to overcome them.
Table 8.2 summarizes every method and its disadvantages, as well as the
user’s ability to work with that method and the performance rate. This might
help to estimate the cost of the inspection used to evaluate the building, as
well as the performance rates that will assist us in constructing the inspection time schedule.
These measurements will determine the cause of corrosion and the degree of
the passive protection layer for the steel bars, as well as the expected corrosion
rate for every part of the building. From this information, one can determine348 Construction Management and Design of Industrial Concrete and Steel Structures
what kind of repair the structure needs and its method of construction and
also calculate the repair required to strengthen the concrete member.
8.3.2 Concrete Test Data
The following are tests that should be performed to obtain the data for the
concrete strength, if this information is not available. There are variations
between these tests such as the accuracy, effect on the building, and the cost.
Therefore, you have the responsibility to decide which of these tests is suitable for the building that you need to evaluate.
Moreover, there are some precautions required for these tests. For example,
when you take the samples, the location must be based on the visual inspection results that were done before. Moreover, when you take the samples or
do the loading test, this must be accompanied by a suitable temporary support to the structure and the adjacent members. These temporary support
locations and strengths should be able to withstand the load in case of weakness occurring in the structural member that you test. These tests will follow
ACI228-89 R1 and BS1881.
8.3.2.1 Core Test
This test is considered one of the semidestructive tests. This test is very important and popular for the study of the safety of structures as a result of changing the loading system or a deterioration of the structure as a result of an
accident such as fire, weather factors, or when there is a need for temporary
support for repair and there is no any accurate data about concrete strength.
This test is not too expensive and it is the most accurate test of the strength
of concrete that can be carried out. Core testing is done by the cutting of cylinders from a concrete member, which could affect the integrity of the structure.
TABLE 8.2
Practical Methods to Evaluate Concrete Structures
Methods Inspection User
Approximate Performance
Rate
Visual inspection Surface defects General 1 m2/s
Chain or hammers Void behind cover General 0.1 m2/s
Concrete cover
measurement
Distance between steel
bars and concrete surface
General 1 reading every 5 min
Phenolphthalein Carbonation depth General 1 reading every 5 min
Half cell Evaluate corrosion risk Expert 1 reading/5 s
Linear polarization Corrosion rate Expert 1 reading in 10–30 min
Radar Defects and steel location Expert 1 m/sa by using a car or 1 m2
in 20 s
a Add more time during scheduled plan preparation.Assessment of Existing Structures 349
Therefore, the samples must be taken in strict adherence to the standard. This
will ensure accuracy of the results without weakening the structure.
For the structure with deterioration due to corrosion of the steel bars, the
structure has lost most of its strength due to the reduction of the steel crosssection area, so more caution must be exercised when performing this test.
To perform this test, it is important to select a concrete member that will not
affect the whole building safety. The codes and specifications provide some
guidance to the number of cores to test and these values are as follows:
•	 For volume of concrete member, V ≤ 150 m3, take 3 cores.
•	 For volume of concrete member, V > 150 m3, take (3 + (V − 150 ∕ 50))
cores.
The degree of confidence of the core test depends on the number of tests
that you can take, which must be as few as possible. The relationship between
number of cores and confidence will be given in Table 8.3.
Before you choose the location of the sample, you must first define the
location of the steel bars to assist you in selecting the location of the sample.
The sample must be taken away from the steel bars to avoid taking a sample
containing steel reinforcement bars, if possible. We must carefully determine
the places to preserve the integrity of the structure; therefore, this test should
be performed by an experienced engineer. Conducting such an experiment
should be undertaken with proper precautions. To determine the responsibility of individuals, review the nondestructive testing that has been conducted in an accurate manner.
Figure 8.3 presents the process of taking the core from the reinforced concrete bridge girder.
8.3.2.1.1 Core Size
Note that the permitted diameters are 100 mm in the case of a maximum
aggregate size of 25 mm and 150 mm in the case of a maximum aggregate
size not exceeding 40 mm. It is preferable to use 150-mm diameter core size
whenever possible, as it gives more accurate results, as shown in Table 8.4.
Table 8.4 represents the relationship between the dimensions of the sample
TABLE 8.3
Number of Cores and Deviation in Strength
Number of
Cores
Deviation Limit between Expected
Strength and Actual Strength (Confidence
Level 95%)
1 +12%
2 +6%
3 +4%
4 +3%350 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 8.4
Core Size with Possible Problems
Test Diameter (mm) Length (mm) Possible Problem
First 150 150 May contain steel reinforcement
Second 150 300 May cause more cutting depth to concrete
member
Third 100 100 Not allowed if the maximum aggregate size
is 25 mm
May be cut with a depth less than required
Last 100 200 Less accurate data
FIGURE 8.3
How to take a core sample.Assessment of Existing Structures 351
and potential problems, so this table should be discussed when choosing the
reasonable core size.
Some researchers have stated that the core test can be done with a core
diameter of 50 mm in the case of a maximum aggregate size of not more than
20 mm overall. It was noted that small cores sizes give different results than
large sizes. Because of the seriousness of the test and to avoid taking a high
number of samples, there needs to be close supervision when the sample is
taken. Moreover, the laboratory test must be certified and the test equipment
must be calibrated with a certificate of calibration from a certified company.
Sample extractions are performed using pieces of a cylinder equipped
with a special alloy mixture containing diamond powder to feature pieces in
the concrete during the rotation of the cylinder through the body. The precautions taken should be an appropriate match for the sampling method and
consistent pressure should be applied carefully depending on the experience
of the person doing the test, depending on the expertise of the technical.
After that, the core will be filled with dry concrete of suitable strength or
with grouting, which is a popular method. Other solutions depend on using
epoxy and injecting it into the hole and then inserting a concrete core of the
same size to close the hole. In any case, the filling must be done soon after
making the cutting so the material for the filling will be standing by next to
the technician who did the cutting, as this core affects the integrity of the
structure.
Every core should be examined and photographed, and noted gaps must
be classified within the core as a small void (between 0.5 and 3 mm), void
(between 3 and 6 mm), or a big void (more than 6 mm). It must also be examined whether the core of nesting and determine the shape, type, and color
gradient of aggregates any apparent qualities of sand as well. In the laboratory, the dimensions, weight of each core, density, steel bar diameter, and
distance between the bars will be measured.
8.3.2.1.2 Sample Preparation for Test
After cutting the core from the concrete element and processing the sample,
test by leveling the surface of the core and then taking the sample, which has
a length of not less than 95%, and not more than double, the diameter. To
level the surface, use a chainsaw with a spare concrete or steel cutting disk,
and after that, prepare the two ends of the sample by covering them with
mortar or sulfide and submerging them in water at a temperature of 20 ± 2°C
for at least 48 h before testing the sample.
The sample is put into a machine test and, gradually, the influence load is
introduced at the regular and continuous rate of 0.2 to 0.4 N/mm2, until it
reaches the maximum load at which the sample is crushed. To determine the
estimated actual strength of a cube by obtaining the crushing stress from the
test, use the following equation, as λ is the core length divided by the core
diameter.352 Construction Management and Design of Industrial Concrete and Steel Structures
•	 For a horizontal core, the strength calculation will be as follows:
Estimated actual strength of the cube = 2.5/(1/λ) + 1.5 × core
strength
where λ = core length/core diameter.
•	 For a vertical core, the strength calculation will be as follows:
estimated actual strength for cube = 2.3/(1/λ) + 1.5 × core strength (8.1)
For the existing steel in the core perpendicular to the core axis, the previous equations will be multiplied by the following correction factor:
correction factor = 1 + 1.5(Sφ)/(LD) (8.2)
where
L = Core length
D = Core diameter
S = Distance from steel bar to edge of core
φ = Steel bar diameter
Cores should be free of steel, preferably. If steel is found, you must use the
correction factor, taking into account that it is used only in the event that the
value obtained ranges from 5% to 10%. We must use the results to core, but
if the correction factor is more than 10%, the results of the tests cannot be
trusted and you should take another sample.
When evaluating the test results, the following points must be taken into
account:
•	 Once the sample is submerged in water, there is a decrease in
strength of up to 15% from that of dry concrete.
•	 The equation to calculate the expected actual concrete strength does
not take into account any differences in direction between the core
and the standard cube direction.
•	 It is stated that the concrete is acceptable if the average strength of
the cores is at least 75% of the required strength and the calculated
strength for any core is greater than 65% of the required strength.
In case of prestressed concrete, the concrete strength is acceptable if the
average strength of the cores is at least 80% of the required strength and
the calculated strength for any core is not less than 75% of the required
strength.Assessment of Existing Structures 353
8.3.2.2 Rebound Hammer
This is a nondestructive method of testing, so it is useful in determining the
estimated concrete compressive strength. This is the most common method
because it is easy to do and inexpensive, compared with other tests. However,
it gives less precise data results. This test relies on concrete strength which
is done by measuring the hardening from the surface. It identifies the compressive strength of the concrete member by using calibration curves of the
relationship between reading the concrete hardening and concrete compressive strength.
There are different types of rebound hammers and they most commonly
give an impact energy of 2.2 N/mm. There is more than one way to show
results, based on the manufacturer. In some cases, the reading will be an
analog or digital number or the readings may be stored on a drive.
Inspect the device before using it through the calibration tools attached
to the device when you purchased it. The calibration should be within the
allowable limit based on the manufacturer’s recommendation. The first and
most important step in the test is cleaning and smoothing the concrete surface at the sites that will be tested by hone in an area of about 300 × 300 mm.
It is preferable to test on a surface that has no change after cast or a surface
that has not had any smoothing done during the casting process.
On the surface to be tested, draw a net of perpendicular lines in both
directions between 20 and 50 mm apart. The intersection points will be the
points to be tested. The test points in any case must be at least 2 cm from the
edge. Figure 8.4 illustrates that the surface must be cleaned before the test is
performed and that the rebound hammer is perpendicular to the surface as
shown.
FIGURE 8.4
Testing and reading the number.354 Construction Management and Design of Industrial Concrete and Steel Structures
The following recommendations should be followed during the test:
•	 For any conditions, the hammer must be perpendicular to the surface that will be tested because the direction of the hammer affects
the value of the rebound number, due to the weight of the hammer.
•	 The wet surface gives a reading from the rebound hammer of up to
20% less than the reading from a dry surface.
•	 The tested concrete member must be fixed and must not vibrate.
•	 You must not use the curves for the relationship between concrete
compressive strength and rebound number given by manufacturer
directly. You must calibrate the hammer by taking the readings on
concrete cubes and crushing the concrete cubes to obtain the calibration of the curves. It is important to perform this calibration from
time to time, as the spring inside the rebound hammer loses some
stiffness over time.
•	 You must use one hammer only when making a comparison between
the quality of concrete at different sites.
•	 The type of cement affects the readings, as in the case of concrete
with high-alumina cement, which can yield higher results than concrete with ordinary Portland cement by about 100%.
•	 Concrete with sulfate-resistant cement can yield results of about 50%
less than those of ordinary Portland cement.
•	 Concrete with a higher cement content gives a lower reading than
concrete with a lower cement content, with a gross error of only 10%
in any case.
The number of reading must by high enough to give reasonably accurate
results. The minimum number of the reading is 10, but we usually take 15
readings. The extreme values will be excluded and the average taken for the
other remaining values. From this, the concrete compressive strength will
be known.
8.3.2.3 Ultrasonic Pulse Velocity
This test is one of the nondestructive types (ACI 228-89-R1 1989; BS 1881,
1971a, 1971b; Bungey, 1993); its concept is to measure the speed of transmission of ultrasonic pulses through the construction member. By measuring
the time required for the transmission of impulses and by knowing the distance between the sender and receiver, the pulse velocity can be calculated.
The calibration of these velocities is performed by knowing the concrete
strength and its mechanical characteristics. Then, you may use it for any
other concrete with the same procedure of identifying compressive strength,
the dynamic and static modulus of elasticity, and the Poisson ratio.Assessment of Existing Structures 355
The equipment must have the capability to record time for the tracks, with
lengths ranging from 100 to 3000 mm accurately, + 1%. The manufacturer
should define methods for using the equipment in different temperatures
and humidity. There must be an available power transformer sender and
receiver of natural frequency vibrations between 20 and 150 kHz, bearing
in mind that the frequency appropriate for most practical applications in the
field of concrete is 50 to 60 kHz.
(a)
(b)
(c)
FIGURE 8.5
(a) Surface transmission. (b) Semidirect transmission. (c) Direct transmission.356 Construction Management and Design of Industrial Concrete and Steel Structures
There are different methods of wave transmission and surface transmission, which are illustrated in Figure 8.5a. Semidirect transmission is shown
in Figure 8.5b, and direct transmission is shown in Figure 8.5c.
The ultrasonic test (UT) equipment consists of two rods of metal with
lengths of 250 and 1000 mm. The first is used in the determination of zero
for the measurement, and the second is used in the calibration. In both cases,
the time of the passage of waves through each rod is known. Connect the
ends of the rods of sender and receiver in an appropriate manner, measure
the time for pulse transmission, and compare it with the known reading.
For the small rod, if there is any deviation, adjust the zero of the equipment
to provide the known reading. For the long bar, the same method is used to
define the result accuracy. In this case, the difference between the two readings should not be more than ±0.5% for the measurements to be within the
required accuracy.
The wave transmission velocity value of steel is twice the value of concrete,
so steel bars in a concrete member being tested will influence the accuracy
of the reading because the value will be high for the wave impulse velocity.
To avoid that, the location of the steel reinforcement must be defined beforehand with respect to the path of the ultrasonic pulse velocity. The pulse
velocity should be corrected based on the location of the steel bar, if parallel or perpendicular to the wave direction. The effect of the steel bar can be
ignored if the diameter is 6 mm or less, or if the distance of the bar from the
end of the equipment is sufficiently long. The effect can be considered zero
if we use a transmission source of 54 kHz and the steel bar diameter is less
than 20 mm.
The most common errors in taking this measurement include:
1. Not using the reference bar to adjust to zero will impact the accuracy
of the results.
2. The concrete surface, which is well-leveled and smoothed after the
pouring, may have properties different from the concrete in the core
of the member and, therefore, avoid it as much as possible in measurements. If avoiding it is not a possibility, take into account the
impact of the surface.
3. Temperature affects the transmission ultrasonic velocity, as seen
in Table 8.4, and that must be taken into account in the event of an
increase or decrease in temperature of 30°C or more.
4. When comparing the quality of concrete between the various components of the same structure, similar circumstances should be taken
into account in all cases with regard to the composition of concrete,
the moisture content, age, temperature, and type of equipment used.
There is a relationship between the quality of the concrete and the
speed as shown in Table 8.5.Assessment of Existing Structures 357
8.3.2.4 Inherent Variations in In Situ Strength
There has been much research performed in this area, and tests on in situ
concrete based on BS6089 indicate the following:
1. In situ strength can vary within a structural member, both randomly
and, often, in an ordered fashion.
2. The magnitude of variations of in situ strength within structural
members varies from one member to another in a random fashion.
3. With the height of a concrete lift, in situ strength decreases toward
the top, even for slabs, and can be 25% less at the top than in the body
of the concrete. Concrete of lower strength is often concentrated in
the top 300 mm or 20% of the depth, whichever is less.
4. At 28 days after casting, columns can have a mean in situ strength of
65% of the mean standard cube strength, with strength in the individual columns carrying from 50% to 80%. The little evidence available for floor slabs suggests that the mean in situ strength may only
be 50% of the mean standard cube strength.
5. The gain in in situ strength from 28 days onward is not consistent.
At 6 months, the increase in mean strength can vary from 0% to 25%
and, at 1 year, from 0% to 35% of the 28-day strength.
Thus, the normal variation of in situ strength within and between structural
members has to be considered when evaluating in situ results. Examination
of individual test results will identify whether variations between the results
are excessive. Further tests may be required to establish whether certain
results are rogue values or not.
The results of the test yield the estimated in situ cube strength, which is
needed to evaluate whether the design strength is acceptable or not. The
design strength is given by fcu/gm, where γm = 1.5 for ultimate strength.
Based on BS6089, the level of in situ cube strength that may be considered acceptable in any particular case is a matter of engineering judgment
but should not normally be less than 1.2 times the design strength. The
TABLE 8.5
Relation between Concrete Quality and Pulse
Velocity
Pulse Velocity (km/s) Concrete Quality Degree
>4.5 Excellent
4.5–3.5 Good
3.5–3.0 Fair
3.0–2.0 Poor
<2.0 Very poor358 Construction Management and Design of Industrial Concrete and Steel Structures
particular strength level selected should include an allowance for possible
future deterioration of the strength of the concrete that may result from
chemical attack, weathering, vibration, or some unforeseeable impact or circumstances. So, apply the following equation in case of γm = 1.5 to accept or
refuse the concrete:
estimated in situ cube strength ≥ 1.2( fcu)/1.5 ≥ fcu/1.25
8.3.2.5 Comparison between Different Tests
From the above discussion of the different methods of determining the hardened concrete strength, it is apparent that all have advantages and disadvantages. These are summarized in Table 8.6.
Moreover, these tests are differentiated by their costs, their treatment of
the concrete member, and their accuracy of measured strength to actual concrete strength. This comparison is illustrated in Table 8.7.
After you obtain the results of the tests, you will find that the data indicates
strength lower than the concrete strength specified in the drawings or project
specifications. The value of concrete strength in the drawing is the standard
cube (cylinder) compressive strength after 28 days. The cube or the cylinder
was poured and compacted based on the standard and the curing process of
TABLE 8.7
Performance Comparison between Different Methods
Test Method
Damage to
Concrete
Representative
to Concrete Accuracy
Speed of the
Test Cost
Overload test Variable Good Good Slow High
Cores Moderate Moderate Good Slow High
Ultrasonic None Good Moderate Fast Low
Rebound
hammer
Unlikely Surface only Poor Fast Very low
TABLE 8.6
Comparison between Different Test Methods
Test Method Probable Damage Precaution Requirement
Overload test Possible member loss Member must be isolated or allowance of
distributed the load to the adjacent members
Extensive safety precaution just in case
collapse failure
Cores Holes to be made good Limitations of core size and numbers
Safety precaution for critical member
Ultrasonic None Need two smooth surfaces
Rebound hammer None Need a smooth surfaceAssessment of Existing Structures 359
28 days, so the conditions were different from what will happen on the site.
For example, the curing will not be in 28 days and you can not immerse the
concrete slabs or columns in water continuously for 28 days. The temperature onsite is different and varies from that in the laboratory. In addition to
that, the concrete pouring and compaction method is different for the cubes
or cylinder than that in the actual member size. All these variations must be
taken into consideration within the parameters of the design codes, because
when you make the test, you measure the strength after complete hardening
of the concrete. Table 8.8 is a comparison between a standard cube test and
an in situ test for different reinforced concrete members.
8.3.3 Sources of Concrete Failure
Corrosion is not the only source of failure. There are many other factors that
cause failure of reinforced concrete structures that must be considered when
you perform the inspection. Therefore, it is important to know them very
well. These sources of failure are as follows:
1. Unsuitable materials
(a) Unsound aggregate
(b) Reactive aggregate
(c) Contaminated aggregate
(d) Wrong type of cement
(e) Cement manufacturer error
(f) Wrong type of admixture
(g) Substandard admixture
(h) Contaminated admixture
(i) Organically contaminated water
(j) Chemically contaminated water
(k) Wrong type of reinforcement
(l) Steel bar size error
TABLE 8.8
Variation between Standard Cube Strength and Actual Strength on Site
Concrete Member
Actual Strength/Standard Cube Strength after 28 Days
Average Range
Column 0.65 0.55–0.75
Wall 0.65 0.45–0.95
Beam 0.75 0.6–1.0
Slab 0.5 0.4–0.6360 Construction Management and Design of Industrial Concrete and Steel Structures
2. Improper workmanship
(a) Faulty design
(b) Incorrect concrete mixture (low or high cement content or incorrect admixture dosage)
(c) Unstable formwork
(d) Misplaced reinforcement
(e) Error in handling and placing concrete (segregation, bad placement, and inadequate compact)
(f) Curing incomplete
3. Environmental
(a) Soil alkali
(b) Seawater or sewage
(c) Acid industry
(d) Freezing and thawing
4. Structural
(a) Load exceeds design
(b) Accident such as ballast load or dropped object
(c) Earthquake load
8.4 Test Methods for Corroded Steel in Concrete
During the corrosion process, the volume of the steel bar is increased and the
internal stresses caused by that increase cause the concrete to crack. These
cracks may be vertical or horizontal and increase in length and width until
the fall of the concrete cover. To determine the parts of concrete element that
cause the separation between concrete cover and concrete itself need to be
known exactly.
8.4.1 Manual Method
The deteriorated area can be defined by using a hammer to hit the concrete
cover and listening to the sound. If the sound indicates air behind the surface of the concrete cover, this means that the steel bar is corroded and the
possibility exists of a concrete cover separation.
For a large area of concrete surface, you can use a steel chain and let it move
over the surface to define the separated cover and damaged parts. There are
other more complicated methods than using a hammer or steel chain such
as infrared or ultrasound.Assessment of Existing Structures 361
By the above inspection methods, using the manual hammer and steel chain,
you can define the area that is expected to be corroded and predict concrete
cover spall within a short time so that it may be addressed in the next repair.
This method is faster, easier to use, and lower in cost than methods such as
radar, ultrasound, or infrared ray and can be used in big structures or when
evaluating huge areas such as decks of bridges. The use of the hammer is often
associated with the process of visual inspection, where it is easily carried, lowcost, effective at locating defects, and dirty in that it makes marks at the places
where the sound of a vacuum behind the concrete surface is heard.
Generally, these methods, whether manual, radar, or infrared, need professionally trained workers, with sufficient experience and competence, to read
the measurement and define the defected area accurately.
There are precautions and limits on the use of these methods, in the case
of the existence of water in the cracks or where the separation is deep inside
the concrete, as well as in the case of the steel bars embedded deeply within
the concrete, as it will be difficult to define the separate areas. Moreover, the
existence of water and the depth of separation is something that affects the
readings in the case of radar and infrared.
The execution of the repair process should remove an area larger than the
defective area defined before by the different methods, because there is time
difference between structural evaluation and the start of the repair due to
administration work, defining the funds, and receiving approval, and this
duration is sufficient to increase the volume of concrete at risk of separation.
It should be noted that a disadvantage of infrared is that appropriate weather
conditions must be present to provide reasonable accuracy and so it is rarely
used in industrial projects.
8.4.2 Concrete Cover Measurements
The thickness of the concrete cover is usually measured in modern construction to ensure that the thickness of the concrete cover conforms with the
specifications discussed in Chapter 5 to protect the steel from corrosion.
Measurements of the thickness of the concrete cover in structures involve noting where the corrosion begins. The lack of concrete cover thickness increases
the corrosion rate as a result of chlorides or carbonation, which increase the
rate of steel corrosion. The lack of cover also increases exposure to moisture
and oxygen, which are the primary components of the corrosion process. The
measurement of the concrete cover thickness explains the causes of corrosion
and identifies areas that have the capability to corrode faster.
The measurement of the thickness of the concrete cover needs to define
axes y, x in order to determine the thickness of the concrete cover at every
point on the structure. The equipment that measures the thickness of the concrete cover is both simple and of advanced technology, as you can obtain the
measurement reading as numbers. Figure 8.6 presents the shape of the electromagnetic cover meter and illustrates its method of reading. A radiograph362 Construction Management and Design of Industrial Concrete and Steel Structures
may be used on bridges, but at a very high cost (Cadry and Gamnon, 1992;
Bungey, 1993).
The magnetic cover method is simple to perform but can be affected by
the distance between steel bars, and the thickness of the concrete cover has
a significant influence on the readings. This method depends on a supply of
electricity through a 9-V battery and measures the potential voltage envelope
when completed by the buried steel bars, as shown in Figure 8.7.
Pitch
200 mm
Cover
FIGURE 8.7
Device location on concrete surface.
FIGURE 8.6
Shape of concrete cover thickness measurement machine.Assessment of Existing Structures 363
The British standard is the only standard that is concerned with the measurement of the concrete cover after construction. This is addressed in
BS1881, Part 204. In 1993, Alldred studied the accuracy of the measurement
of the cover when there are more steel bars close together and he suggested
using more than one head of measurement, as that will increase the accuracy
of the reading and the small heads have an impact on the accuracy of the
equipment (Figure 8.8).
The problem with this method is that dense steel reinforcement in the concrete section will give inaccurate data. In this case, the equipment should be
calibrated based on the existing steel bars, as the reading is also affected by
the type of steel. The people who work on the equipment must be competent
and aware of any thing that can affect the reading such as bolts, steel wires,
etc.
8.4.3 Half-Cell Potential Measurements
This measurement unit is traditionally used in oil and gas plants to monitor
the cathodic protection system for the pipeline and the facilities. You will find
that a well-trained corrosion team can assist you in these measurements.
This system is used to determine the bars that have lost passive protection.
The bars in the concrete lose the passive protection when exposed to carbonating or chlorides. This chemical reacts with the alkaline around the steel
and destroys the passive layer.
The half-cell equipment, defined by ASTM C876, is a rod of metal in a solution of the same metal ions. For example, a copper rod in a saturated solution of copper sulfate is a very common piece of equipment. There are other
types such as a bar of silver in a silver chloride solution, which can be linked
through the voltmeter or other potentiometer connected to the steel bars as
shown in Figure 8.9.
If the steel bars have a passive protection layer, the potential volts will
range from 0 to 200 mV copper/copper sulfate. If there has been a breakdown
of the passive protection layer, and some quantity of steel melting results in
the movement of ions, the potential volts will be around 350 mV and higher.
When the value is higher than 350 mV, it means that the steel has already
started to corrode.
Maximum signal Minimum signal
FIGURE 8.8
The correct device location.364 Construction Management and Design of Industrial Concrete and Steel Structures
It is recommended to use half-cell equipment consisting of silver in a silver
chloride solution or mercury in a mercury oxide solution. Copper in a copper
sulfate solution can be used, but it is not recommended because it requires
regular maintenance, thus, there will likely be some mistakes in readings.
The measurement of the steel reinforcement bars by the half-cell is to define
the probability of corrosion to the steel bars. The ASTM C867 specifications
present a method to clarify the data obtained from measuring the potential volts. Table 8.9 shows these values for the copper/copper sulfate and the
silver/silver chloride equipment and explains the condition of corrosion in
each case of corresponding value.
TABLE 8.9
ASTM Specification for Steel Corrosion for Different Half Cells
Silver/Silver
Chloride
Copper/Copper
Sulfate (mV)
Standard Hydrogen
Electrode (mV)
Calomel
(mV)
Corrosion
Condition
>–106 >–200 >+116 >–126 Low (10% risk of
corrosion)
–106 to –256 –200 to –350 +116 to –34 –126 to –276 Intermediate
corrosion risk
<–256 <–350 <–34 <–276 High (<90% risk of
corrosion)
<–406 <–500 <–184 <–426 Severe corrosion
Copper
Sponge
contact
electrode
Electrical
connection
to steel
Steel bar
Concrete
Measuring
sulfate
FIGURE 8.9
Half-cell equipment.Assessment of Existing Structures 365
The inaccuracy of such measurements is a result of the presence of water,
which increases the negative values without corrosion in steel, as wetting
columns and walls give high negative values for potential volts regardless
of the degree of steel corrosion. The negative voltage difference underwater in the offshore structures, despite the lack of oxygen, reduces the rate of
corrosion.
8.4.4 Electrical Resistivity Measurement
The process of steel corrosion is the process of an electrical and chemical
reaction as the electrical resistance of concrete is a major factor in the rate
of steel corrosion. The corrosion rate in the steel reinforcement depends on
the movement of ions from the anode to the cathode, causing corrosion. The
four-probe resistivity operation is used to measure the resistance of the soil
to electricity and then make some changes to the system to measure the electrical resistance of concrete.
The resistance of concrete is measured by the four probes by passing electric current between two outside probes and measuring the potential volts
between the inner two probes, as illustrated in Figure 8.11. This measures
the electrical resistivity of the concrete. Some equipment is needed to make
a hole in the concrete to fix the probes, but new equipment puts it on the
surface only.
The electrical resistance is affected so much by the moisture in the porous
concrete and it is significantly affected by the quality of the content, the waterto-cement ratio in the concrete mix, the curing, and the use of additives. The
level of chlorides has less impact on the electrical resistance of concrete.
It must be taken into account during the measurement that there should
be greater distance between the probes with the larger sizes of aggregate
to avoid the measurement of the electrical resistance of a piece of aggregate
only. It is important to measure away from the steel bar, so the readings must
be taken perpendicular to the steel reinforcement, and Figure 8.10 illustrates
the appropriate position from which to take readings.
It is possible to take the measurement of electrical resistance of the concrete
cover with the use of only two probes by making the steel reinforcement act
as the first probe with the second probe moving over the concrete surface.
The rate situation of corrosion of the steel can be distinguished through
comparison of the results obtained from the electrical resistance of concrete
according to Broomfield et al. (1987, 1993). This is demonstrated by the following values:
•	 > 120 K Ω cm low corrosion rate
•	 10–120 K Ω cm low to medium corrosion rate
•	 5–110 K Ω cm high corrosion rate
•	 < 5 K Ω cm very high corrosion rate366 Construction Management and Design of Industrial Concrete and Steel Structures
Many researchers have studied the relationship between electrical resistivity
and corrosion rate by using electron probes. The following notes reflect some
of their conclusions:
•	 > 100 K Ω cm cannot differentiate between passive and active
steel reinforcement
•	 50–100 K Ω cm slow corrosion rate
•	 50–10 K Ω cm a medium to high corrosion rate with active steel
corrosion
•	 < 10 K Ω cm electrical resistivity has no impact on the corrosion process
From the previous relations, this method is considered an effective method
of determining the corrosion rate in steel reinforcement. The electrical resistance is expressed in the corrosion rate of steel reinforcement and is a good
representation of concrete quality control and the density of concrete, which
depends on the compaction method onsite.
According to a study from the University of Liverpool, if the angle of measurement is perpendicular to the steel, the reading error can be reduced to
the smallest possible value. It also found electrical resistance when more
than 10 K Ω cm cannot distinguish between active and passive protection
Resistivity
measuring electrode
Current
source
Concrete
Path of current
Steel reinforcement
FIGURE 8.10
Function of electrical resistivity measurement equipment.Assessment of Existing Structures 367
of reinforcing steel and, if the electrical resistance is 10 K Ω cm or less, the
resistance is not effective in the process of corrosion.
8.4.5 Measurement of Carbonation Depth
The carbonation depth is formulated in the propagation of carbon dioxide
inside the cover of the concrete, which reduces the concrete alkalinity value.
The concrete alkalinity value is expressed by pH values equal to 12–13. With
carbon dioxide propagation, a reaction reduces the alkalinity. This will affect
the steel surface and damage the passive protection layer around the steel
bars, which allows the corrosion process to start. Therefore, it is very important to define the depth of the concrete transformed by carbonation and how
far away it is from the steel bars.
This test is performed by spraying the surface of broken concrete or breaking it with special tools to obtain the carbonation depth by phenolphthalein
dissolved in alcohol. This solution becomes pink on contact with the surface
of concrete with an alkalinity pH value of 12 to 13.5, and the solution turns
gray or blue if the concrete’s alkalinity pH value is less than 9. In this case,
steel bars lose the passive protection layer.
To ensure the accuracy of the test, it is important to make sure that the
breaking of the part occur at the same time as testing, whether beams, columns, or slabs. After measuring the carbonation depth of the concrete cover
and the distance between the carbonation depth and the steel bar, it is easy
to evaluate the corrosion risk of the steel reinforcement.
The best solution is to mix phenolphthalein with alcohol and water to a
strength of 1 mg phenolphthalein to 100 mm of alcohol and water (50:50 mixing ratio) or more alcohol than water, if the concrete is completely dry to
humidifying the surface with water (Building Research Center, 1981; Parrott,
1987).
If the thickness of carbonation is between 5 and 10 mm, it is going to be
necessary to break the passive layer to the steel bar from 5 mm from the
presence of color change on the surface of the concrete. Some of the aggregate and some concrete mixtures have a dark color, which makes reading
phenolphthalein difficult, and therefore, we must take into account whether
the surface is clean when testing. This test must be done in the areas accessible to the breakers, as well as facilitate the work of repairing the part that
was broken.
8.4.6 Chloride Test
The chlorides test (AASHTO T260-84, 1984; ASTM D1411-82, 1982) relies on
analysis of samples of the concrete powder to determine the quantity of
chloride. This test is done by making a hole with a drilling machine inside368 Construction Management and Design of Industrial Concrete and Steel Structures
the concrete and extracting concrete powder out of the hole or through the
broken part of the concrete.
Several separate samples must be taken at different depths. The depth of
the hole will be varied to increase the accuracy and always taken from 2 to
5 mm. The first 5 mm should be taken from the surface of concrete where the
chloride concentration is often very high, particularly in structures exposed
to sea water and chlorides.
The holes are made by special devices to collect concrete powder product in
the process of drilling the hole. The concrete powder, which will be taken at
every drilling depth, will be added to a solution of acid, which will be determined by the amount of the chloride concentration. There are two principal
ways of measuring in situ (Quanta Strips) and a method for determining
the electron ion (specific ion electron). In the experiments regarding chloride
concentration, it is important to have professionally trained workers.
When it is assembled, the readings of chloride concentration at various
depths shows the shape of chloride concentration from the surface of concrete
into the interior of the concrete. From the general figure, we can determine
whether chlorides are within the concrete or from air and environmental
factors affecting the concrete from the outside. Figure 8.11 shows the difference between the two cases. It can be seen from Figure 8.11 that the impact
of chlorides from the outside is, in the beginning, high and then gradually
decreases with depth, until it reaches a constant value.
On the other hand, if the chlorides exist inside the concrete from the concrete mix (salt water and aggregate have high chloride counts), it can be seen
from Figure 8.11 that, near the surface, the chloride concentration is minimal
and increases with depth until it reaches a constant value.
The chlorides test method is done by melting a sample in acid and calibration work afterward based on the specifications of BS1881, Part 124. In
Chloride
content, (%)
Chloride attack
from outside
Chloride inside
concrete
Depth from surface, (mm)
FIGURE 8.11
Comparison between chloride inside the concrete and chloride attack from the outside.Assessment of Existing Structures 369
addition to the acid-melting method, this can be done in water following the
specifications of ASTM D1411 (1982) and AASHTO T260 (1984).
If chloride concentration exceeds 0.6 of hydroxyl concentration, it causes
failure in the passive layer around the steel reinforcement. This ratio is
approximately 0.2% to 0.4% chlorides by weight of cement or 1 lb/yd of cubic
concrete.
By obtaining the distribution of chloride concentration with depth from
Figure 8.11, you can determine the degree of impact of chlorides on the
steel reinforcement and whether that impact is from inside or outside the
concrete.
8.5 Structure Evaluation Technique
The structure evaluation technique can be best illustrated by applying all the
tools and techniques we have discussed to the following real-world examples of structural evaluation.
8.5.1 Case Study One: Structural Evaluation
Our first case study involves an administration building located near the red
sea in Egypt. The building is a steel structure constructed around 1975 and
consists of two stories. The ground floor is a waiting area for employees to
wait for their flights and the first floor is an administration office consisting
of an aviation and airport control room. It is a steel structure composed of
a beams and columns system, with a reinforced concrete slab on a steel corrugated sheet.
This building is located about 200 m from the Red Sea. The first impression
upon visual inspection is that there has been no maintenance performed for
a long time, as the corrugated sheets outside are corroded to 300 mm aboveground. The painting condition is generally good, but not the original structural painting, so there has been periodic maintenance. Discussions with the
owner, a very important step in any assessment, yield the information that
there has been no maintenance for approximately 5 years due to a shortage
of funds.
Near the bathroom, there are signs of water on the false ceiling, so this
is inspected in detail. Upon removal of the false ceiling, it is found that the
corrugated sheet of the floor beneath the first floor is corroded, as shown in
Figure 8.12.
The challenge is to define whether the corroded corrugated sheet is loadbearing or not. If it is, it needs to be replaced. For this type of building, replacing this part involves removing the slab and fixing a new composite section.370 Construction Management and Design of Industrial Concrete and Steel Structures
This process requires a special contractor and is very expensive. Destroying
the building and rebuilding may be a better solution from an economic point
of view.
On the other hand, if it is not load-bearing, the corrugated sheet may be
used as shuttering and after pouring the concrete, there is no need to remove
it. This method was common during that period. The engineering and construction company was a specialized one from the United States.
The drawing and specifications no longer exist, so it is necessary to collect
information to confirm the structural system and whether either of these two
methods of construction was used. If the slab is a composite section, the steel
reinforcement will be light and there will always be a steel wire mesh for
shrinkage. If it is only shuttering, there will be steel bars sufficient to carry
the load, so it will have been designed as reinforced concrete slab. By collecting information from the previous engineers that reviewed the design and
others who supervised the construction of the building and by making a hole
to inspect the steel bars, it is confirmed that there are steel bars 13 mm apart,
and therefore, this corrugated sheet is not load-bearing but was used as shuttering. As a result, the building may be repaired and not demolished.
In summary, evaluating thoroughly and do not jump to any conclusions
from first inspection. Collect data from all available sources. Even if the information does not seem valuable, it may improve the data you already have.
This decision is critical; a building will either be destroyed or live another
30 years. You can imagine the consequences if you make a wrong decision.
8.5.2 Case Study Two: Structural Assessment
There are cracks on the ring beam around steel tanks carrying oil mixed
with a high percentage of water. Fortunately, the tanks, constructed in 1983,
FIGURE 8.12
Corrosion in a corrugated sheet.Assessment of Existing Structures 371
FIGURE 8.13
(a) Cracks in ring beam. (b) Spalling of concrete cover. (c) Reduction in stell cross-sectional area.372 Construction Management and Design of Industrial Concrete and Steel Structures
are not located in an area of high environmental importance. Upon observation, a leak is discovered in the tanks containing hydrocarbon and water that
is affecting the reinforced concrete beam. As shown in Figure 8.13a, the corrosion is parallel to the stirrups, every 200 mm, and is also on the corner steel
bars. The cause and the shape of the cracks reveal that there is corrosion on
the steel bars. Figure 8.13b and c shows that there are some areas with spalling of the concrete cover and the reduction of the steel bar cross-sectional
area is more than 20%; therefore, it needs complete repair. From a structural
point of view, the steel bars have a tension force, as the ring beam is always
under tension.
8.5.3 Case Study Three: Structural Assessment
As we mentioned, the first step of assessment is always to collect data. This
site is located in the desert with no great effects from temperature. There are
two reciprocating gas lift compressors on foundations. There was one originally; the second was installed after one year with similar load and design
dimensions. After installing the second machine, the site engineers observed
a large vibration on the administration building. This administration building, constructed around 1975, is about 100 m away from the machine. The
cracks are presenting between the reinforced concrete columns and the
bricks.
After collecting data, it becomes apparent that the cracks are due to resonance: the vibration wave is transferring from the machine to the building.
There may be rocks underneath the foundations. The civil and structural
solution is to put rubber around the tanks or use some other method to cut
the wave propagation to the building. In cooperation with the mechanical
FIGURE 8.14
Concrete foundation cracks.Assessment of Existing Structures 373
engineers, it was decided to change the machine speed by reducing its revolution per minute (rpm) in order for one of the machines to avoid the resonance. This solution is the right one, as the vibration was decreased and the
repair of the cracks was successfully completed. It should be noted that the
solution to a problem does not always rely solely on the structural engineer,
especially in the oil and gas industry.
8.5.4 Case Study Four: Structural Assessment
In this case study, we will address the foundation shown in Figure 8.14.
Before we are able to discover a solution, we must first collect data. This plant
is near the Mediterranean Sea and, after a review of the soil data, based on
our experience, we determine that this area has a bad soil type and find that
the soil report mentions clearly that the settlement is predicted to be about
70 mm along 20 years. Moreover, the plant is about 100 m from the sea and
the relative humidity is very high.
The probability of settlement and of a corrosion problem is very high. The
foundation that is shown in the photo is one of three foundations using a
steel I-beam section to carry a manifold. The problem is that there is settlement in this foundation and no tie beam. It seems clear that the solution is
to increase the foundation size and connect them by a beam, if the steel is in
good condition. If it is not in good condition, we may need to install another
foundation.
Now, let us stop and reflect on whether these supports are really necessary,
as they do not seem to be in the original drawings. After performing the piping stress analysis, it is found that these supports are not needed and that
these foundations require only a minor change in the piping configuration.
So, again, do not run too quickly toward a structural solution.
8.6 Structural Assessment
The tests that have been discussed in the preceding sections are only tools to
assist in the process of evaluating structures. The main factor in this process
is the experience of the engineer examining the structure. The evaluation
of the building will determine whether the structure should be subject to
repair or if the repair process will be nearly the cost of demolition and reconstruction. The decision-making process will be based on the assessment of
the building in terms of safety and repair cost; therefore, the evaluation of
the building is vital.
The scope of the repair work depends on the accuracy of the test results
and the experience of the skilled labor conducting the tests. When determining the method of repair and the necessary cost value of the repair process, it374 Construction Management and Design of Industrial Concrete and Steel Structures
is important not to forget the methods required to protect the structure from
corrosion after repair.
References
AASHTO Standard T260-84. 1984. Standard Method of Sampling and Testing for Total
Chloride Ion in Concrete Ratio Materials. Washington, DC: American Association
of State Highway Transportation Officers.
ACI Standard 318-97. 1997. Standard building code requirements for reinforced concrete, ACI Manual of Concrete Practice. Farmington Hills, MI: ACI.
ACI Standard ACI222R-89. 1990. Corrosion of Metals in Concrete, Report by ACI
Committee 222. Farmington Hills, MI: ACI.
ACI Standard 228-89-R1. 1989. In-place methods for determination of strength of concrete, ACI Manual of Concrete Practice. Farmington Hills, MI: ACI.
Alldred, J. C. 1993. Quantifying the losses in cover-meter accuracy due to congestion of
reinforcement. Proceedings of the Fifth International Conference on Structural Faults
and Repair, Vol. 2. Edinburgh: Engineering Techniques Press, pp. 125–130.
ASTM Standard C876. 1991. Standard Test Method for Half-Cell Potentials of Un -
coated Reinforcing Steel in Concrete, ASTM Annual Book of Standards. West
Conshohocken, PA: ASTM International.
ASTM Standard D1411-82, 1982: Standard Test Methods for Water Soluble Chlorides
Present as Admixes in Graded Aggregate Road Mixes, ASTM Annual Book of
Standards. West Conshohocken, PA: ASTM International.
ASTM Standard C 42-90m. 1990. Standard Test Method for Obtaining Strength and
Testing Drilled Cores and Sawed Beams of Concrete, ASTM Annual Book of
Standards. West Conshohocken, PA: ASTM International.
Broomfield, J. P., Langford, P. E., and McAnoy, R. 1987. Cathodic protection for reinforced concrete: Its application to buildings and marine structures. In Corrosion
of Metals in Concrete, Proceedings of Corrosion/87 Symposium, Paper 142, Houston,
TX: NACE, pp. 222–325.
Broomfield, J. P., Rodriguez, J., Ortega, L. M., and Garcia, A. M. 1993. Corrosion rate
measurement and life prediction for reinforced concrete structures. Proceedings of
the Fifth International Conference on Structural Faults and Repair, Vol. 2. Edinburgh:
Engineering Techniques Press, pp. 125–130.
British Standard Institution. BS 1881-6. 1971. Methods of Testing Concrete, Analysis of
Hardened Concrete. London: BSI.
British Standard Institution. BS 8110. 1985. Structural User of Concrete Part 1: 1985 Code
of Practice for Design and Construction. London: BSI.
British Standard Institution. BS 1881-5. 1983. Methods of Testing Concrete Part 5: Methods
of Testing Hardened Concrete for Other Than Strength. London: BSI.
British Standard Institution. BS 1881-120. 1983. Part 120 Method for Determination of the
Compressive Strength of Concrete Cores. London: BSI.
Bungey, J. H., ed. 1993. Non-destructive testing in civil engineering. Proceedings of
the Fourth International Conference on Non-Destructive Testing in Civil Engineering,
Liverpool, April 8–11, 1997.Assessment of Existing Structures 375
Cady, P. D., and E. J. Gannon. 1992. Condition Evaluation of Concrete Bridges, Relative to
Reinforcement Corrosion, Vol. 1, State of the Art of Existing Methods, Washington,
DC: National Research Council, SHRP-S-330.
Concrete Society. 1984. Technical Report 26: Repair of Concrete Damaged by Reinforcement
Corrosion. Crowthorne, UK: The Concrete Society.
Concrete Society. 1987. Technical Report 11: Concrete Core Testing for Strength.
Crowthorne, UK: The Concrete Society.
Concrete Society. 2000. Technical Report 54: Diagnosis of Deterioration in Concrete
Structures. Crowthorne, UK: The Concrete Society.
El-Reedy, M. A. 2009. Advanced Materials and Techniques for Reinforced Concrete
Structure. Boca Raton, FL: CRC Press.
Parrott, L. J. 1987. Review of Carbonation in Reinforced Concrete. Slough, UK: British
Cement Association.377
9
Methods of Protecting
Foundations from Corrosion
9.1 Introduction
The minimum requirements of various codes are often insufficient to ensure
the long-term durability of reinforced concrete in severe exposures, such as
those found in marine splash zones such as jetties and harbors. Some of the
newer structures such as oil and gas projects built in marine areas, but not
in splash zones, are experiencing corrosion problems due to airborne chlorides. Marine structures in warmer climates prevalent in the Middle East,
Singapore, Hong Kong, South Florida, etc., are especially vulnerable because
of the high temperatures, which not only increase the rate of chloride ingress,
but also the corrosion rate once the process is initiated.
In this section, a brief description of supplemental corrosion protection
measures is given for structures especially at risk. Good-quality concrete
is considered the primary protection method, but various combinations of
this with supplements are necessary to reach the desired design life of the
structure.
One of the most effective means to increase corrosion protection is to
extend the time until chloride or a carbonation front reaches the steel reinforcement. The minimum code requirements allowing the use of concrete
with a water/cement ratio (w/c) of less than 0.45 and concrete cover thickness
more than 40 mm are totally inadequate for the structures and environmental conditions outlined above, if a design life of 40 years or more is expected.
In many applications, designs complying with minimum code requirements
would not provide as much as 10 years of repair-free service.
Prevention is better than cure. This idea is well known and is a good
expression of the benefits of protecting reinforced concrete structures, as
protecting a concrete structure is easier and less expensive than repairing
one. The reason is that the cost of repair and renovation of some reinforced
concrete members is very expensive, such as the case of foundation repair. In
reality, the protection of the structure from corrosion is the protection of the
investment along the structural lifetime.378 Construction Management and Design of Industrial Concrete and Steel Structures
In this chapter, our aim is to discuss the different methods used internationally to protect reinforced concrete structures from corrosion. Recently,
there has been more research and development toward providing economic
and effective methods to protect the steel reinforcement, as this subject has
billion dollars of investment in construction worldwide.
The first method of protection is to perform good quality control in design
and construction and take into consideration all precautions to avoid cases
of corrosion, as stated in the codes and specifications of different countries.
These specifications vary with different weather conditions the structure
is exposed to and the function of the building, such as an offshore underground structure.
The second line of defense from corrosion are the external methods such as
using galvanized steel bars, epoxy-coated steel bars, stainless steel, or using
additives added to the concrete during the pouring process. Other methods include the use of external membranes to prevent water permeability
or cathode protection. All of these methods have advantages and disadvantages. In this chapter, all these methods will be discussed and provide the
ways of application for each type of protection.
9.2 Corrosion Inhibitor
There are two types of corrosion inhibitors. The first type is called an anodic
inhibitor and the second type is the cathodic inhibitor. The anodic inhibitor
depends on a passive protection layer on the steel reinforcement bars. The
cathodic protection is based on preventing the propagation of oxygen in the
concrete. It has been observed that the most effective protector is the anodic
inhibitor and it is commonly used in practice. We will explain these protections to clarify the advantages and disadvantages of both.
9.2.1 Anodic Inhibitors
The most common anodic inhibitor is calcium nitrate. It is well known as it
is compatible with the process of pouring concrete at the site where there is
no adverse impact on the properties of concrete, whether it is fresh or in the
hardening state.
Other types, such as sodium nitrate and potassium nitrate, are very efficient
at preventing corrosion but are not used with aggregates containing alkaline,
as they react with cement and cause extensive damage to the concrete. Broad
calcium nitrate has been widely used since the mid-1970s (Arnon et al., 1997).
The use of calcium nitrate accelerates the concrete setting time. Broomfield
(1995) mentioned that retarder must be added at the mixing plant.Methods of Protecting Foundations from Corrosion 379
The mechanism by which these compounds inhibit corrosion is associated
with the stabilization of the passivation film that tends to be disrupted when
chloride ions are present at the steel level, largely due to the interference with
the process of converting the ferrous oxide to the more stable ferric oxide.
We note that the anodic materials are used in concrete exposed to chlorides
directly, as in contact with sea water, where the corrosion inhibitor reacts
with chlorides and increases the amount of chloride concentration necessary
to cause corrosion based on the tests described in Table 9.1.
The amount of calcium nitrate to add is determined based on the amount of
chloride exposed to concrete; this can be done in practice or through knowing the quantity of chloride from previous experience. The addition of corrosion inhibitors does not diminish the importance of attention to the quality
control of concrete and maintaining the appropriate thickness of the concrete cover. In the case of high-strength, high-quality concrete, choosing and
constructing the right concrete cover thickness and appropriate density of
concrete, according to specifications, may obviate the need for a corrosion
inhibitor for 20 years—although it is used when structures are exposed to
chlorides directly (e.g., offshore structures).
9.2.2 Cathodic Inhibitor
A cathodic inhibitor is usually added to the concrete during mixing. There
is a new type that is painted on the concrete surface after hardening and it
propagates to the steel bars through the concrete porosity and provides an
isolation to reduce the quantity of oxygen, as it is the most important driver
of the corrosion process.
There are many tests performed on the corrosion inhibitor based on ASTM
G109-92 and their purpose is to define the effects of the chemical additives
on the corrosion of the steel reinforcement embedded in concrete. The tests
indicate that the corrosion inhibitor enhances the protection of the steel bars
rather than only controlling the concrete quality. The tests also indicate that
a cathodic inhibitor is less effective than an anodic inhibitor.
TABLE 9.1
Amount of Required Calcium Nitrate to Protect Steel
Reinforcement from Corrosion due to Chlorides
Calcium Nitrate Amount (kg/m3,
and 30% solution)
Amount of Chlorides Ions on Steel
(kg/m3)
10 3.6
15 5.9
20 7.7
25 8.9
30 9.5380 Construction Management and Design of Industrial Concrete and Steel Structures
From these tests, we find that it is essential to add a large quantity to the
concrete mix to obtain more effective corrosion protection for the reinforced
steel bars. On the other hand, adding cathodic inhibitors such as Ameen,
phosphates, and zinc retard the setting time by significant amounts especially when we add a large quantity. So, when we decide to use cathodic
inhibitor, we must take the setting time into consideration.
One can conclude from this information that the anodic inhibitor is more
effective than the cathodic inhibitor, so it is customary to use the anodic in -
hibitor. On the other hand, if we use the cathodic inhibitor, we must increase
the setting time.
9.3 Epoxy Coating of Steel Reinforcement
It is important to paint the steel bars using certain types of epoxies that can
protect the steel from corrosion. This method yields positive results, especially in steel exposed to seawater. This study has been performed by the
Federal Highways Association (FHWA), which has been evaluating the use
of epoxy to coat steel reinforcement exposed to chloride attack.
Other research, such as that done by Pike et al. (1972), Cairns (1992), and
Satak et al. (1983), demonstrates the importance of the use of painted steel
reinforcement. Epoxies have been used for painting reinforced steel for
bridges and offshore structures since 1970.
From a practical point of view, there are some shortcomings that must be
avoided through the use of some precautions, such as avoiding any friction
between the bars, which would affect the coating layer and reduce effectiveness. Also, it is difficult to use methods for measuring the corrosion rate
such as polarization or half cell, so it is difficult to predict the steel corrosion
performance or measure the corrosion rate.
Painting the steel reinforced bars is done extensively in the United States
and Canada and, over 25 years, more than 100,000 buildings used coated bars,
which is equal to 2 million tons of epoxy coated bars. The coated steel bar must
follow ASTM A 775M/77M-93, which set the allowable limits as follows:
•	 The coating thickness should be in the range of 5–12 mils, where
1 mil = 1/1000 in.
•	 Bending of the coated bar around a standard mandrel should not
lead to formation of cracks in the epoxy coating.
•	 The number of pinhole defects should not be more than 6/m.
•	 The damaged area on the bar should not exceed 2%.
•	 These deficiencies cited by the code are the result of operation, transportation, and storage.Methods of Protecting Foundations from Corrosion 381
There are some precautions that must be taken into consideration in these
phases to avoid cracks in the paint. Andrade et al. (1994) and Gustafson and
Neff (1994) define methods of storage, steel reinforcement bending, carrying the steel, and pouring concrete. Using painted steel reinforcement will
reduce the bond between the concrete and steel; therefore, we must increase
the development length of steel bars to overcome this reduction in bond
strength. According to the ACI code (ACI Committee 318), the increase of the
development length should be from 20% to 50%.
ACI Committee 318 (1988) found that when painting steel bars, it is necessary to increase the development length by 50%, in the case of concrete cover
less than 3 times the steel bar diameter or a distance between the steel bars
that is less than 6 times the bar diameter. In other circumstances, increase
the development length by 20%.
The Egyptian code does not take painted steel into account. The study conducted by El-Reedy et al. (1995) found that the equation mentioned in the
Egyptian code for the calculation of the development length can be applied
in the case of painting steel bars with epoxies without increasing the development length. However, the thickness of the paint coating must be governed
by not more than the value cited by the American code, which is 300 µm.
Under any circumstances, it is strictly prohibited to paint mild steel, as the
bond strength in the smooth bars is a result of friction and you will lose all
the bond strength if they are coated.
Care must be taken not to increase the thickness of the paint coating, which
should not in any case be more than 12 mils. Some research states that when
steel reinforcement with a coating of 14 mils was used for the main steel
reinforcement in concrete slabs, testing found extensive cracks, which led to
separation between steel bars and the concrete.
There is a comparison between steel bars without coating and other bars
coated by epoxy where both are exposed to water from the tap and then
placed in water containing sodium chloride and sodium sulfate. The corrosion rate between them was compared and Table 9.2 shows the rate of corrosion for the coated and uncoated steel bars. Table 9.2 shows that the corrosion
rate is much slower in the coated steel bars than in the uncoated steel bars.
This method is cheap and widely used by workers and contractors in North
America and the Middle East. The coating of reinforcement steel by epoxy
does not negate the necessity of using high-quality concrete for maintaining
TABLE 9.2
Corrosion Rate for Coated and Uncoated Steel Bars
Case
Corrosion Rate (mm/yr)
Tap Water NaCl 1% + Na2SO4 0.5%
Coated 0.0678 0.0980
Uncoated 0.0073 0.0130382 Construction Management and Design of Industrial Concrete and Steel Structures
the reasonable concrete cover. In some countries, the steel manufacturers can
deliver coated steel bars. This is a better option than coating the bars onsite,
as you cannot control the thickness of the coating without special tools to
measure the coating thickness.
9.4 Galvanized Steel Bars
Some researchers in the United States recommend the use of galvanized steel
in reinforced concrete structures. An FHWA report recommends that the age
of galvanized steel should be limited to 15 years in the case of high-quality
concrete under attack by chlorides, according to the research of Andrade
et al. (1994). A galvanized bar is used effectively in structures exposed to
carbonation. Accelerated depletion of the galvanizing occurs if galvanized
bars are mixed with ungalvanized bars.
The process of galvanization involves the addition of a layer of zinc. A
steel rod is immersed in a zinc solution at a temperature of 450°C and then
cooled. As a result, a zinc coating forms on the bars consisting of four layers.
The outer layer is a layer of pure zinc and the other layers are mixtures of
steel and zinc.
Like most metals, zinc will corrode with time. The rate of corrosion under
different weather conditions can be calculated from the amount of corrosion
and the amount of time that has passed. The relationship between the thickness of the zinc layer and its lifetime is presented linearly in Figure 9.1.
0 50 100 150 200
5 0
10
15
20
Layer thickness (µm)
Layer age (years)
FIGURE 9.1
Relation between zinc layer thickness and expected life.Methods of Protecting Foundations from Corrosion 383
The galvanized coating must be tested after the bending of the steel bars.
Care must be ensured when welding. The maximum zinc cover is about 200
µm and must follow ASTM A767/A767A M-90.
The stability of zinc essentially depends on the stability of the pH value
of the concrete. The passive protection layer forms at a pH of 13.3, but when
that value increases to more than 13.3, the zinc will dissolve until it vanishes
completely. This situation is illustrated in Figure 9.2.
We find that the process of galvanization is totally dependent on the proportion of pH in the concrete pores and the alkalinity of the Portland cement.
If the galvanization pH is equal to 12.6, the reduction in coating thickness
coverage will be 2 µm. If the pH is equal to 13.2, the shortage in the galvanized layer will reach 18 µm, with the observation that this is happening
before the passive protection layer.
Through laboratory tests using different types of Portland cement with
different alkalinities, it has been determined that, if you assume that the rate
of corrosion is equal and the thickness of the cover is 60 µm, the lifetime will
be about 200 years in the case of a low-alkalinity cement and 11 years in the
case of a high-alkalinity cement. This is according to building research done
in the UK in 1969.
Therefore, it is noted that the thickness of the cover must be more than
20 µm. The American specifications (ASTM 767/A767 M-90) for galvanized
steel bars identifies two types of galvanization: Class I and Class II, which
have a cover thickness of more than 1070 and 610 g/m2, respectively, which is
the equivalent of 85 and 150 µm, respectively.
In 1969, Building Research, UK, recommended a maximum zinc cover
thickness of about 200 µm, as an increase in the thickness of cover will reduce
the bond between the steel and concrete (Building Research Establishment,
1969). If the pH is between 8 and 12.6—note that zinc is more stable in this
case than in the case of an increasing pH value—the zinc gives high efficiency even when exposed to carbonation, because this reduces the pH, as
we have discussed before.
H
2
No H2
CaHZn
Internal corrosion Passive protection Corrosion
11 12 12.2 13 13.3 14
ZnO
isolated
crystal
ZnO
isolated CaHZn
H
2
FIGURE 9.2
Galvanized steel behavior in solution with pH from 11 to 14.384 Construction Management and Design of Industrial Concrete and Steel Structures
However, in the case of attack from chlorides, the galvanization will not
prevent corrosion, but will significantly reduce the rate. Galvanization can
increase the value of chlorides necessary to cause corrosion from 150% to
200%. This will increase the time required to cause corrosion by four times,
according to a study by Yeomans (1994). The specifications of the Institute
of Equatorial Concrete were released in 1994 and provide guidelines that
should be followed when using galvanization. These include:
•	 Galvanization increases the protection of steel corrosion but does
not compensate for the use of concrete with appropriate concrete
cover.
•	 We must avoid putting galvanized steel with nongalvanized steel, as
this will quickly cause the galvanic layer to corrode.
•	 We must examine the galvanic layer of the steel reinforcement after
bending and fabrication and increase the bending diameter.
•	 Precautions should be taken when using welding with galvanized
steel
9.5 Stainless Steel
Stainless steel is not used in industrial structures, but it is recommended
for the foundations of critical equipment under severe environmental conditions. Critical equipment may be defined as unique equipment that will cause
a plant shutdown if it should stop.
A steel bar coated with a layer of stainless steel with a thickness from 1 to
2 mm is considered more expensive in comparison with other steel bars. The
same precautions mentioned for galvanized steel should be taken into account
for stainless steel. For example, do not put stainless steel or steel bars coated
with stainless steel next to uncoated steel bars, as this will lead to corrosion.
In 1995, the design of some balconies used as stainless steel reinforcing
bars adjacent to normal steel and the process of erosion was quick, as found
by Miller (1994).
The high cost of stainless steel limits its applications. Stainless steel costs
about 8 to 10 times the cost of commonly used steel. The cost of using stainless steel is 15% to 50% higher than steel bars coated with epoxy.
The specifications of steel bars coated by stainless steel are now being
prepared and discussed by ASTM under the title Standard Specifications
for Deformed and Plain Clad Stainless Steel Carbon Steel Bars for Concrete
Reinforcement, which will provide specifications for the installation of stainless steel–coated bars and will follow specifications A 480/480 M, for typesMethods of Protecting Foundations from Corrosion 385
304, 316, or 316 L. Three levels of yield stress are defined: 300, 420, and 520
MPa.
In the commercial market, there is reinforcing steel covered by stainless
steel with a yield strength of about 500 MPa and maximum tensile stress of
about 700 MPa. The available diameters are 16, 19, 22, 25, and 32 mm, and
some factories are now manufacturing bars with diameters of 40 mm.
The use of stainless steel is not recommended with welding, but if it is
necessary, the welding should be done by Tungsten Inerges and the welding
wire should be of the same materials as the stainless steel.
9.6 Fiber Reinforcement Bars
In the past decade, different studies have applied extensive theoretical and
practical research to the replacement of steel reinforcement bars with fillerreinforced polymer (FRP), as this material is not affected by corrosion and so
will be very economical along a structure’s lifetime.
Figure 9.3 illustrates that rolled steel sections made from glass-reinforced
polymer (GFRP) are more expensive than traditional steel sections, but there
are no associated costs, such as for painting and maintenance work, as GFRP
is not affected by corrosion. Moreover, GFRP is lightweight with a density of
2.5 g/cm3, compared with the density of steel, which is about 7.8 gm/cm3.
From its weight, which is very low, and its resistance, which is higher
than steel, GFRP will be worth using for adding additional floors to existing
FIGURE 9.3
GFRP structural sections.386 Construction Management and Design of Industrial Concrete and Steel Structures
buildings. Now, it is used to replace traditional steel gratings, handrails, and
ladders on offshore structure platforms in the oil industry. For all the reasons
discussed here, bars of this material are being developed and manufactured
as an alternative to steel bars.
Figure 9.4 illustrates how GFRP bars are manufactured in a certain way
so that protrusions on the surface allow it to bond with concrete. It is now
manufactured and used on a small scale while application and marketing
research is conducted. There is much ongoing research into the performance
of these bars over time.
As a result of limited production, the cost of these bars is very high; however, the cost of maintenance is very low. Moreover, it will reduce the value
of the dead load to the structure, which will reduce the total cost of the
structure.
Some structures in Canada were built using bars of GFRP, such as a marine
structure at the port of Wharf. This structure is a thick wall of pre cast concrete designed to have a maximum strength of 450 kg/cm2. The structure is
exposed to different temperatures ranging from 35°C to –35°C.
GFRP has also been used to build bridges in Quebec that are regularly
exposed to salt, as it is used to dissolve ice when it forms. One such bridge
was built in Antherino and another on Vancouver Island. Vancouver has been
asked to perform tests on all of these facilities exposed to different weather
conditions. Tests conducted include sampling and x-ray examination. These
structures are between ages 5 and 8 years.
The results of that research found no impact from the various factors on
the GFRP bars and found that the cycles of wet and dry did not affect the
bars. By microscopic examination, it was found that a strong bond exists
between the bars manufactured from GFRP and the concrete.
The mechanical properties can be summarized as a maximum strength
of about 5975 kg/cm2 and a maximum bond strength of 118 kg/cm2, but it
was found that the modulus of elasticity was about five times less than the
steel modulus. To overcome problems that might arise from the creep, the
FIGURE 9.4
Illustration of the shape of GFRP reinforcement bars.Methods of Protecting Foundations from Corrosion 387
American specifications ACI 440 suggest that tensile stress must not be less
than 20% less than the maximum tensile strength.
9.7 Protecting Concrete Surfaces
A concrete surface needs to be protected from the permeability of water and
the propagation of chloride, such as in offshore structures exposed to sea
waves or bridge decks where salt is used to melt ice. It is important to prevent
permeability to protect the concrete surface from carbonation and to prevent
the propagation of carbon dioxide. The other factors that increase the corrosion rate are humidity and oxygen, which should also be prevented from
propagating inside the concrete to decrease the corrosion rate.
There are two popular methods of protecting concrete surfaces. They are
using liquid materials applied by spraying or brush-painting and using
sheets and membranes of rubber, plastic, or textile immersed in bitumen.
The latter is usually used in small projects.
Isolation from water is also a problem for epoxy-coated reinforcement
steel. As we have discussed, it is critical to prevent any damage or erosion to
the coating due to external mechanical factors such as tearing, exposure to a
heat source, or other factors. It is important to follow any required specifications during execution. There are some specifications that define execution
methods additional to supplier recommendations.
There are different types of surface protection that use liquid materials,
but the function is the same: to prevent the propagation of water inside the
concrete through concrete voids, as shown in Figure 9.5.
9.7.1 Sealers and Membranes
Sealers and membranes have traditionally been used for providing protection to concrete structures exposed to severe chemical attacks. However,
FIGURE 9.5
Sketch presenting different coatings.388 Construction Management and Design of Industrial Concrete and Steel Structures
with the increase in frequency of durability problems generated by corrosion
of steel in regular reinforced concrete structures, they are being increasingly
used as a means of mitigating this durability problem. Membranes and sealers can provide protection in the following two ways:
1. Eliminating or slowing down the penetration of chlorides and carbonation to maintain steel passivity
2. Reducing moisture movement into the concrete to keep it dry and
slow the propagation of corrosion reactions
Sealers and membranes can be classified into several types and each type
represents a family of materials with a different chemical composition. We
will now discuss each of these different types.
9.7.1.1 Coating and Sealers
These consist of continuous films applied to the concrete surface with a
thickness in the range of 100–300 mm. The films are composed of a binder
and fillers. The performance depends on the compounding of the fillers. Compositions having a similar binder may be quite different in their
performance.
The coatings or sealers are obtained in a liquid form, which is brushed
or sprayed onto the concrete surface in an operation that is very much like
painting. The successful performance of coatings and sealers depends not
only on the quality of the materials used, but also on the application. The
concrete surface should be clean and sound. Weak and cracked concrete
should be removed, holes should be filled, and, if necessary, a leveling coat
should be applied.
If the membrane applied is polymeric, the surface should be dry. Silane
treatments should be done on wet concrete. This is needed to facilitate better
penetration of the liquid compound into the pores. Coatings should usually
be applied in two layers to obtain a continuous film without pinholes. The
service life of the membranes and sealers ranges between 15 and 20 years.
Thus, continuous maintenance and follow-up is necessary, including additional treatments.
9.7.1.2 Pore Lining
These treatments are based on processes by which the surfaces of the concrete pores are lined with materials that reduce the surface energy, making
the concrete water repellent. Silicone compounds are most frequently used
for this purpose. Silicone resin can be dissolved in an organic liquid that
deposits a film of the resin on the pore surface as it evaporates.Methods of Protecting Foundations from Corrosion 389
9.7.1.3 Pore Blocking
These treatments are based on materials that penetrate into the pores and react
with some of the concretes constituents. The resulting products are insoluble
and are deposited into the pores to block them. The most common materials
used for this purpose are liquid silicates and liquid silico-fluorides.
Experience tells us that a membrane used to prevent water permeability
has a lifetime of about 15 years and, after that, must be replaced. There are
some problems with proactive maintenance, as in the case of bathrooms.
The maintenance is very expensive, as it requires removing all of the tiles
and plumbing accessories and starting from scratch. In residential buildings,
maintenance will usually be a corrective action, which is prone to failure.
In any mature, reinforced concrete structure, most of the problems are due
to isolation, as the main steel of the slab is lower and the primary signs of
corrosion will be cracks parallel to the main steel bars. These signs will be
visible on the lowers floors, but the user of the bathroom will not see them.
Therefore, repairs will not be made until there is falling concrete cover and
serious corrosion problems in the steel bars.
When using a membrane, care must be taken in execution to avoid any tear
in the membrane. Bad executions where specifications and supplier recommendations are not followed will lead to literally paying for nothing, as the
membrane is like William Shakespeare’s famous line, “To be or not to be.” Any
defect in the membrane will cause permeability of water and start corrosion.
There are two well-known methods of application of isolations for foundations, swimming pools, or tanks. These methods isolate surfaces directly
exposed to water and surfaces without direct exposure to water. These types
of isolation must be executed by a professional contractor with experience
in this type of work, as the chemicals and membranes require competent
workers and a specialized contractor that you trust. Recently, some research
found that there are problems with using isolation by membrane in cases of
cathodic protection, as there are some gases that accumulate in the anode
and need to escape, but the membrane will prevent this and thus the completion of the electrical circuit.
9.7.2 Cathodic Protection by Surface Painting
The corrosion of steel in concrete occurs as a result of attacking chlorides,
carbonization of the concrete surface. Incursion into the concrete that reaches
the steel will reduce the concrete alkalinity and the presence of moisture and
oxygen will drive corrosion until a complete deterioration of the concrete
occurs. This has been discussed in Chapter 2.
There are some materials that are painted onto the surface of concrete to
saturate it. These materials will propagate through the concrete to reach the
steel at speeds from 2.5 to 20 mm/day, by capillary rise phenomena, such as
water movement, by penetrating the concrete with water.390 Construction Management and Design of Industrial Concrete and Steel Structures
Therefore, when those materials reach the surface of steel, an isolation
layer around the steel bar surface will reduce the oxygen in the cathode area
to the surface on the cathode and reduce the melting of steel in the water in
the anode area, thereby delaying the process of corrosion and reducing its
rate. Figure 9.6 presents the influence of this cathodic protection coating on
the surface on protecting the steel bars.
These new advanced materials are used in the case of new construction,
existing structures where corrosion of the steel bars has started, or, in cases
where the presence of corrosion is clear and require complete repair to the
damaged concrete surface and surface-painting.
9.8 Cathodic Protection System
This method is the most expensive method of protection; it is used usually
in the protection of pipelines in the petroleum industry. It is intended not
for use in reinforced concrete structures recently, but for special structures
because of its higher cost and the need for special studies, design, execution,
and monitoring.
Cathode Anode
- -
–
- -
-
O
2 H
2O
-
(OH)
Fe2+
Fe2+ (OH)– Concrete
cover
thickness
Painting on
concrete surface
FIGURE 9.6
Painting concrete surface to provide cathodic protection.Methods of Protecting Foundations from Corrosion 391
Cathodic protection, if applied properly, can prevent the corrosion of steel
in concrete and stop corrosion that is already in progress. It accomplishes
this by making the steel bar a cathode through the use of an external anode.
Electrons are supplied to the reinforcing bar from the anode through the ionically conductive concrete. The current supplied should be sufficiently high
so that all of the local cells are inhibited and the entire steel surface becomes
anodic. The external current can be supplied by connecting the steel to a
metal that is higher in the electrochemical series (e.g., zinc). It serves as the
anode relative to the cathodic steel. In this method, the anode gradually dissolves as it oxidizes and supplies electrons to the cathodic steel. This type of
cathodic protection is called a sacrificial anode.
An alternative method for cathodic protection is based on supplying electrons to the reinforcing steel from an external electrical power source. The
electrical power is fed into an inert material that serves as the anode and is
placed on the concrete surface. This method is referred to as impressed current
anodic protection. The anode is frequently called a fixed anode.
9.8.1 Cathodic Protection
The principle behind the use of a sacrificial anode was discovered in 1824 by
Sir Humphrey Davey. The discovery was used to protect the metal parts of
boats completely submerged under the water from corrosion.
At the beginning of the twentieth century, the use of that technology for
the protection of pipelines buried underground began when it was discovered that the soil resistance to electricity allows very high cathodic protection with constant direct current.
Cathodic protection is also used in the construction of modern structures with higher importance levels and special nature. The first practical
application in the area of reinforced concrete is in a bridge on the highway
in a mountainous area north of Italy. Then, the use of cathode protection
is more widespread with the development of research and technology. As
stated by Broomfield (1995), after a survey of consultants in England who
work in the area of cathode protection of concrete structures, cathodic protection has been established to protect against cathodic disabilities of about
64,000 m2 in about 24 structures in Spain, the United Kingdom, and the
Middle East.
The largest manufacturer of anodes has supplied enough anodes to cover
about 400,000 m2 around the world, including a garage for 60 cars and 400
different forms of bridges and tunnels.
Cathodic protection is used in certain types of constructions because their
high cost or specific nature of construction requires a system of monitoring.
It is used most often in structures exposed to chlorides that exist inside the
concrete mix or because of penetration of chlorides within the concrete as a
result of surrounding environmental conditions.392 Construction Management and Design of Industrial Concrete and Steel Structures
Chlorides influence on concrete has a special nature in that when it starts,
corrosion results. It is necessary to completely remove the part of the concrete that is contaminated by chlorides. Sometimes the work of repair is very
difficult and involves structural issues.
Such repair in a case where chlorides are in the concrete mix is considered
impossible. Experience has found that the limited availability of electrical
protection is more effective in stopping the process of corrosion, as mentioned in some previous studies, than the traditional method in the case of
concrete pollution by chlorides.
The U.S. FHWA has stated that the only method of repair that has been
proved to stop corrosion in concrete bridges with salts is protection by electrical current, irrespective of the content chlorides concrete. The use of cathode protection specifically to prevent the corrosion of steel reinforcement
in concrete or to stop a corrosion process that has already begun relies on
making the steel a continuous cathode through the use of an external anode.
This is illustrated in Figure 9.7.
As seen in Figure 9.7, the form on the surface with the steel part will be the
cathode with negative electrons and the other part will work as the anode
and, from this, the corrosion process is formulated as explained in Chapter 4.
The electrons will be generated on the steel reinforcement surface by placing
the anode on the concrete surface. In this case, the concrete will be the electrical conductive between it and the steel reinforcement, so the cathodic protection is formulated on the steel reinforcement. As shown in Figure 9.7, this
method of cathodic protection is called sacrificial protection and the anode
in this case is called a sacrificial anode.
+ + +
+
Volt
R
Resisitivity
Anode
Cathode Anode Cathode
- - --
++
- -
Cathode
- - - - - -
Concrete
cover
Concrete
cover
FIGURE 9.7
Cathodic protection method.Methods of Protecting Foundations from Corrosion 393
There are two main methods for cathodic protection. The first method
depends on using a sacrificial anode, as discussed, and is called sacrificial
protection. In this case, the anode will be zinc, and the zinc will corrode
instead of the steel reinforcement. This method is used in submerged structures because the electron movement will be small, and as will the potential
volts between the two materials, so the cathodic protection can be maintained for a long time.
The second method of cathodic protection generates electrons on the steel
reinforcement in concrete by using an outsource of electricity. This source
will be conducted by the anode, which will be put inside the concrete. This
is called a fixed anode. This process is shown in Figure 9.8.
An example of a fixed anode is a wire mesh inserted into the concrete at the
surface, where it works as an anode. The conductivity among the anode, the
steel reinforcement, and the batteries is achieved by using cables as shown in
Figure 9.8. The source of energy will be normal batteries.
The RILEM report addressed how to make cathodic protection more
valuable:
•	 The electrical conductivity to the steel reinforcement must be continuous.
•	 The concrete between the steel reinforcement and the anode must
have the capability to conduct electricity.
•	 The alkaline aggregates must be avoided.
9.8.2 Cathodic Protection Components and Design Consideration
The cathode protection system consists of an impressed current, anode, and
the electric conductive, which is the concrete in this case. This depends on
the concrete’s relative humidity, which has a great effect on the electrical
cables and the negative pole system that is on the steel reinforcement. The
Anode
Cathode
- - - - - -
Rectifier
+ –
Voltmeter
FIGURE 9.8
Cathodic protection method.394 Construction Management and Design of Industrial Concrete and Steel Structures
last component of this system is the wiring, which will conduct between the
anode and the source of direct current. We must not forget one more very
important element, which is the control and measurement system.
The most important and expensive element in the cathodic protection system is the anode, which should be capable of resisting chemical, mechanical,
and environmental effects through the structure’s lifetime. In general, it is
preferable to be the structure’s lifetime rather than the lifetime of the coating layer. The anode surface must be large enough to have a little density for
the electric current so as to allow any deterioration to the anode due to its
deterioration.
The cathodic protection of concrete structures is different from any other
application, as concrete may have pores containing water in some areas,
while other parts may be dry or have water on the surface only. It is different
than marine structures or structures buried in soil.
The main fact is that the concrete structure cannot, in any way, contain
100% water inside its pores. This problem is clear if the concrete around the
anode is completely dry, which requires increasing the potential volts by
using 10 to 15 V instead of 1 to 5 V. On the other hand, the dry conditions
around the steel bars prevent the causes of corrosion. This is only seen in
summer, without high relative humidity.
9.8.2.1 Source of Impressed Current
Most design methods use a current of about 10 to 20 mm amps on the surface
meter for steel reinforcement and take into consideration the lower layer of
steel reinforcement. It is always best to use potential voltage of about 12 to
24 V to ensure that the effect of a shock to a human or animal is very little.
The source of the electric current is chosen in the design stage, and it must
be enough to stop the corrosion process. It is often estimated high, with 50%
added as a safety factor. This increase in current will produce little heat and
it is assumed that some part of electric current will be lost.
9.8.2.2 Anode System
The most important element in the cathodic protection system is the anode.
The anode is also the most expensive element of the system, and experience must be a factor in choosing it and its installation. The choice of the
anode system depends on the type of the structure and its shapes and other
requirements.
There are two main types of anodes. The first type, which is used on bridge
decks and in fixing the deck from the top surface, requires special properties
to accommodate the moving vehicles and being covered by an asphalt layer.
The second type is used in vertical buildings. These anodes do not need high
resistance to abrasion, as is the case in the first type.Methods of Protecting Foundations from Corrosion 395
9.8.2.2.1 Anodes for Bridge Decks
This type of anode is installed by making holes in the concrete surface and
inserting the anode inside it. By this method, you can overcome the increase
of dead load on the structure. On the other hand, you will face the challenge
of cutting part of the concrete, as the anodes should be spaced at 300-mm
intervals to maintain the distribution of electricity in a suitable manner.
Figure 9.9 illustrates making holes on the upper concrete surface by
a diameter of 300 mm. The main target is to reduce the dead load on the
bridge, which consequently will reduce the overall construction cost. It will
also reduce the need for bridge surface leveling.
9.8.2.2.2 Vertical Surface Anodes
For this type of concrete structure member, it is always best to use titanium
mesh and shotcrete is often used on the surface to cover the anode. A large
degree of caution is needed when using shotcrete. This will require very
competent contractors, workers, and supervision. Special curing is required
to guarantee a good quality concrete and good adhesion between it and
the old concrete surface. Precautions must be taken to ensure that the layer
is 100% bonded with the old concrete and the electric conductivity will be
through the pieces of titanium sheeting that will be welded on the mesh as
shown in Figure 9.10.
We may use a rod of titanium or platinum, placed inside the coke of a
concrete member of a subject, to reduce the impact of acid generated on the
anode. One of the most important precautions during implementation is to
make sure that there is no possibility of a short circuit between the anode
and steel reinforcement. The anodes should be distributed by the design sys-
– +
Rectifier
Cement grout
Titanium sheet
Steel bars
FIGURE 9.9
Sketch presenting anode holes at the surface.396 Construction Management and Design of Industrial Concrete and Steel Structures
tem to ensure the protection of the steel reinforcement in the structure. This
method is also used in horizontal surfaces.
9.8.2.3 Conductive Layer
In the most commercially successful applications, the anode is a main pole of
inert metal and the secondary poles consist of layers of mortar, asphalt, and a
coating and it is this coating that will be conductive to the electric current by
carbon particles. Figure 9.11 shows the conductive layers in the case of vertical reinforced concrete structures like columns and walls.
These layers are not durable with time, as is the titanium mesh, but are
considered the cheapest and easiest method from a construction and maintenance point of view. The layers can be painted with a reasonable match to
the architectural design and decoration of the building and used for ceiling,
vertical, and horizontal surfaces. The main disadvantage is that they cannot
be used on surfaces exposed to abrasion, as their capacity for that is low and
their lifetime is only from 5 to 10 years.
9.8.2.4 Precaution in Anode Design
The most expensive and most important part of a system of cathodic protection techniques is the anode. Therefore, it requires some special precautions
and specifications, including the selection of the appropriate type for the
structure, as every type has advantages and disadvantages and needs to be
FIGURE 9.10
Fixing titanium on a concrete column.Methods of Protecting Foundations from Corrosion 397
studied based on the application. It should be noted that, as a result of chemical reactions, the alkalinity of the concrete on the surface decreases and this
means an increase in the acidity. The materials used in the anode might have
a high resistance to acid, but the concrete around it might not. The amount
of accumulated acid, proportional to the density of the electric current, must
be considered.
For example, a current density of 1.1 amp/m2 with a surface area equal
to that of steel and concrete results in reactions that will cause corrosion of
about 0.3–0.4 mm from concrete in general. If using shotcrete with a cement
to aggregate ratio of 1 : 5, increase the current density or the deterioration
rate will increase in addition to that of the existing chlorides and increasing
it has an effect on the increasing acid rate. Therefore, increasing the area of
anode to concrete surface area will be better for anode consumption and acid
formation.
9.8.2.5 Follow-Up Precaution
Note that the cathode protection needs to be followed up periodically to
ensure that the cathode protection system runs continuously without any
obstacles. This is done by putting a cell pole near the steel reinforcement and
Covering
conductive
layer
Preliminary
conductive
Direct current source
+
–
About 10 cm
FIGURE 9.11
Anode conductive layer.398 Construction Management and Design of Industrial Concrete and Steel Structures
connecting a microprocessor via a cable modem connection. Measurements
and data transfer to the computer directly, consequently, the system can
work without periodic visits to the site. It can deliver information from more
than one point in the structure through the computer, which has special
hardware and software. From this computer, the efficiency of the cathodic
protection can be monitored. Advanced systems can be used to control the
source of the electric current and change the current density and potential
from a long distance.
9.8.3 A Comparison between Cathodic Protection and Other Methods
Cathode protection must be measured within each period to ensure the
safety of the design and the proper functioning of the cathode protection.
Therefore, cathode protection is more costly than other types of steel reinforcement protection. It is often used in important structures or structures
with a special nature. It is frequently used in bridges and tunnels and has
been since the late 1980s. It was used in an underground garage at the World
Trade Center in New York as well as in the United Arab Emirates.
After studying the economic aspects of this method of protection, Kendell
and Daily (1999) recommended that the implementation method of cathodic
protection be during the implementation of the civil works, therefore eliminating the need for excess labor, as the anodes are installed with the reinforcing steel, as illustrated in Figure 9.12, along with the development of titanium
mesh with the reinforcing steel and how to stabilize the titanium mesh by a
strong plastic stuff.
In Figure 9.13 shows the bars of a titanium with steel, and as shown in the
photo, the method does not need workers, especially because the workers are
that placing the steel reinforcement will place it also.
FIGURE 9.12
Fixing titanium mesh by plastic binder.Methods of Protecting Foundations from Corrosion 399
9.8.4 Cathodic Protection for the Prestressed Concrete
Currently, there are many LNG and NGL projects worldwide, and the main
component of these projects is the prestress tank with the steel shell inside.
Most specifications state that you must not use cathode protection when
using prestressed concrete because the movement of electrons results in the
formation of hydrogen ions on the surface of the steel reinforcement and
the presence of hydrogen affects the composition of iron atoms for the high
strength steel that is usually used in prestressed concrete.
However, cathodic protection can in fact be used, taking into account that
hydrogen will not affect the nature of iron and the quantity of hydrogen
resulting from the cathode protection process does not pose a threat to the
prestressed steel.
There are some prestressed underground structures for which cathode
protection should not be used. Also Kessler et al. (1995) mentioned that
there are some cases where using sacrificial anodes in the bridge piles, as in
Florida, is done by using depleted anode.
FIGURE 9.13
Placing of titanium bar.400 Construction Management and Design of Industrial Concrete and Steel Structures
9.8.5 Bond Strength in Case of Cathodic Protection
The impact of electric current on the bond strength between the steel reinforcement and concrete is considered to be a very important subject and
researchers have studied it for several years. From a practical point of view,
there are no notes for any impact of the cathodic protection on the bond
strength. There are some structures that have been studied for about 20 years,
and there has been little impact on the bond strength, as most bond strength
is carried out by the ribs that exist in the deformed steel reinforcement.
When using cathode protection, no other protection method, such as membranes, additives, or painting, is needed. This reduces the total cost of the
project and eliminates the cost of a deteriorating concrete structure or some
of its members. The cost of repairing the concrete member may actually be
higher than the cost of constructing it.
TABLE 9.3
Advantages and Disadvantages of Different Types of Protection
Method Advantages Disadvantages Compatibility
Increase concrete
cover
No cost increase Limited Yes
Obtained from
good design
Increased cover will
increase the
shrinkage crack
Nonpermeable
concrete
Dependent on
good design
Requires additives
for good curing
Yes, but silica fume must
be <10% cement weight
Penetrating sealer Relatively low cost Complicated Yes
Waterproof
membrane
Well-known
technology
Can be damaged Yes, but only cathodic
protection under the
membrane
Difficult to fix
without fault
Epoxy-coated
steel bars
Known technology Problems in quality
control under
certain weather
conditions
Yes, without continuous
Little maintenance electric current
Galvanized steel Easy use on site Easily damaged by
contact with
nongalvanized
steels
Yes, with higher level of
protection
Stainless steel Excellent for
corrosion
prevention
High cost Yes
Corrosion
inhibitor
Calcium nitrate
effect for small
chloride
concentration
Must know chloride
amount
Yes
Long-term effect not
known
Cathodic
protection
Known technology Regular inspection
of the rectifier
Long life of
titanium anode
Source: K. Kendell, and F. S. Daily. 1999. Concrete International Magazine 21(6).Methods of Protecting Foundations from Corrosion 401
In some structures, because of the special nature of their construction, you
will find it difficult to make necessary repairs, so cathode protection is the
best and only solution. In Table 9.3, you will find a summary of the methods
of protection prepared by Keven in 1999, which gives the advantages and
disadvantages of each method and the appropriateness of use with the cathode protection at the same time.
References
ACI Committee 318. 1988. Revisions to building code requirements for reinforced
concrete. American Concrete Institute Structures Journal, 85(6):645–674.
Andrade, C., J. D. Holst, U. Nurnberger, J. J. Whiteley, and N. Woodman. 1994.
Protection system for reinforcement. Prepared by Task Group 7/8 of Permanent
Commission VII CEB.
Arnon, B., S. Diamond, and N. S. Berke. 1997. Steel Corrosion in Concrete: Fundamental
and Civil Engineering Practice. London: E & FN Spon.
Broomfield, J. P. 1995. Corrosion of Steel in Concrete: Understanding, Investigation and
Repair. London: E & FN Spon.
Building Research Establishment. 1969. Zinc-coated reinforcement for concrete. BRE
Digest 109.
Cairns, J. 1992. Design of concrete structures using fusion-bonded epoxy-coated reinforcement. Proceedings of the Institute of Civil Engineering Structures and Buildings
4(2):93–102.
El-Reedy, M. A., M. A. Sirag, and F. El-Hakim. 1995. Predicting bond strength of coated
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Gustafson, D. P., and T. L. Neff. 1994. Epoxy-coated rebar, handled with care. Concrete
Construction 39(4):356–369.
Kendell, K., and F. S. Daily. 1999. Cathodic protection for new concrete. Concrete
International Magazine 21(6).
Kessler, R. J., R. G. Powers, and I. R. Lasa. 1995. Update on sacrificial anode cathodic
protection of steel reinforced concrete structures in seawater. Corrosion 95, Paper
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Miller, J. B. 1994. Structural aspects of high-powered electrochemical treatment of
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Pike, R. G., et al. 1972. Nonmetallic coatings for concrete reinforcing bars. Public Roads
37(5):185–197.
RILEM Committee 124-SRC. 1994. Draft recommendation for repair strategies for
concrete structures damaged by steel corrosion. Materials and Structures 27(7):
415–436.
Satake, J., M. Kamakura, K. Shirakawa, N. Mikami, and R. N. Swamy. 1983. Longterm resistance of epoxy-coated reinforcing bars. In Corrosion of Reinforcement
in Concrete Construction, ed. A. P. Crane. London: The Society of Chemical
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Yeomans, S. R. 1994. Performance of black, galvanized and epoxy-coated reinforcing
steels in chloride-contaminated concrete. Corrosion 50(1):72–81.1403
10
Repair of Industrial Structures
10.1 Introduction
In most cases, repair and retrofit of a concrete structure are much more complicated than executing a new concrete structure, as new constructions do
not require engineers with large amounts of experience and can be handled
by junior engineers with reasonable amounts of experience, two to three
years, for example. However, the repair of concrete structures is more challenging and requires competent engineers and consultants. If the building
already exists, you need to define new solutions for the problem that must
match the nature of the building and owner requirements while also satisfying the safety and economic requirements. The repair process for reinforced
concrete structures is both very important and dangerous. Extreme care
must be taken in choosing suitable repair methods and tools.
The reasons for structural deterioration can be summarized as follows:
•	 Codes, specifications, and precautions were not considered in the
design phase.
•	 Codes, specifications, and precautions were not considered in the
execution phase.
•	 A suitable protection method was not selected in the design phase.
•	 A suitable protection method was selected, but the execution was
bad.
•	 No maintenance monitoring was performed.
In all previous cases, the results will be the same: The structure will deteriorate and this will become obvious by cracks and falling of concrete cover of
the different reinforced concrete elements of the structure. When cracks are
present and the concrete cover is falling, the situation is very bad. Shortages
occur in cross-sectional areas of the concrete member, and this situation
requires repair as soon as possible to avoid the structural condition worsening and likely collapsing with time.404 Construction Management and Design of Industrial Concrete and Steel Structures
The first and most important step for any repair is to determine accurately
what should be repaired and this depends entirely on the assessment of the
structure and the answer to these questions:
•	 What is the reason for the corrosion?
•	 Are the cracks and the deterioration of the structure increasing?
•	 What is the expected extent of the deterioration of concrete and how
far does the corrosion extend into the steel?
•	 What is the impact of the current and expected future deterioration
to the safety of the structure?
Answering these questions will require the use of structural assessment
methods and methods of measurement to decide the cause of corrosion and
the present and future deterioration of the structure. Chapter 4 discusses
these methods of assessment and measurement in detail.
The process of repair and restoration of concrete structures, from the
assessment phase to the execution phase, requires high levels of experience.
Even the simplest stage, such as the evaluation stage, when it is conducted
by inexperienced engineers, may lead to the wrong choice of repair method,
and this is a big problem.
•	 When assessing structures, there are several strategies for repair
mentioned in a special report by the RILEM committee (1994) that
clarify the various repair strategies used in most cases.
•	 Reestablishment of the deteriorated member.
•	 Comprehensive repair of the concrete member to restore its ability to
withstand full loads.
•	 Repair of a particular portion of the concrete member and follow-up
over continuous periods.
•	 Strengthening of the structure by an alternative system to bear part
of the loads.
In most cases, the strategy of repair is either a comprehensive repair of the
concrete member or a partial repair of a concrete member. These strategies are
common in the rehabilitation of concrete and depend on the structural system,
external environmental factors, and the degree of structural degradation.
10.2 Main Steps to Execute Repair
There are several standard steps in the repair of all structures exposed to
corrosion. The first, and very critical, step is to strengthen the structure byRepair of Industrial Structures 405
performing a structural analysis and deciding on the appropriate location
of the temporary support. The second step is to remove the cracked and
delaminated concrete. It is important to clean the concrete surface and also
to clean the steel bars by removing rust. After removing the rust by brush
or sand-blasting, paint the steel bars with an epoxy coating or replace the
steel bars with new ones and then pour new concrete. The final step is to
paint the concrete member to provide external protection. This is, briefly,
the repair process. These steps will be explained in detail in the following
sections.
10.2.1 Strengthening the Structure
Care should be taken as this is one of the most dangerous and important
steps and is necessary for the repair. The temporary support selection de -
pends on the following:
•	 Evaluation of the state of the entire structure.
•	 The method of transferring loads from equipment such as vessels,
pipe supports, and others.
•	 The volume of repair that will be done.
•	 The type of the concrete member that will be repaired.
Therefore, as mentioned earlier, the repair process must be carried out by a
structural engineer with a high degree of experience with the repair process,
the capability to perform the structural analysis, and an extensive knowledge
of the load distribution in the structure, according to the type of repair that
will be performed, because it often follows the repair process of breaking the
defective concrete. Therefore, that person has a responsibility to choose the
right way to optimize the process of determining the ability of supports to
carry the loads of the member or members that will be transferred. Therefore,
the responsible engineer should design the temporary supports based on
the collected data and the previous analysis and use caution in the phase of
executing the temporary supports.
Choosing the ways of removing the defective parts will be based on the
nature of the concrete member in the building as a whole. Any member
with breaking concrete has a detrimental impact on neighboring members
because the process of breaking will produce a high level of vibration. The
temporary members must be strong and designed in an appropriate manner
to withstand the loads transferred from the defective members easily and
safely. You can imagine that the entire pool of the structure depends on the
design and execution of the temporary supports and their ability to bear the
loads with adequate safety. Figure 10.1 presents the temporary supports by
section.406 Construction Management and Design of Industrial Concrete and Steel Structures
10.2.2 Removal of Concrete Cracks
There are several ways to remove the part of the concrete member that has a
cracked surface or steel corrosion on the surface. These methods of removing
the delaminated concrete depend on the ability of the contractor, specifications, cost of the breakers, and the state of the whole structure.
Select concrete removal techniques that are effective, safe, economical, and
that minimize damage to the concrete left in place. The removal technique
chosen may have a significant effect on the length of time that a structure
must be out of service. The selection of the breaker methods is based on the
causes of corrosion. If it is due to carbonation or chlorides, it must also be
decided whether to consider cathodic protection in the future. In this situation, the breaking work will be on the falling concrete cover and on cleaning
and removing all of the delaminated concrete and the concrete parts and
then pouring high-strength and nonshrinkage mortar.
If the corrosion in the steel reinforcement is a result of chloride propagation into the concrete, most specifications recommend removing about
25 mm behind the steel and making sure that the concrete on the steel has
no traces of chlorides after the repair process.
The difference in the procedure of breaking the delaminated concrete is
due to the difference in the causes of corrosion. Therefore, a study to assess
the state of the structure and the causes of corrosion is very important to
achieve high quality after the repair process. The evaluation process is the
same as diagnosis of an illness. If there are any mistakes in the diagnosis,
the repair process will be useless and a waste of time and money. Figure 10.2
shows the removal of the cracked cover from the tank ring beam and Figure
10.3 illustrates the removal of the concrete cover from the pump foundation.
FIGURE 10.1
Temporary repair using steel sections.Repair of Industrial Structures 407
It is necessary to define the work procedure and quantity of concrete that
will be removed. This step is considered to be one of the fundamental factors in the design and installation of the wooden pillars of the building that
will be used during execution. Therefore, the work plan must be clear and
accurate for all the engineers, foremen, and workers who participate in the
repair process.
FIGURE 10.2
Removal of delaminated concrete from ring beam.
FIGURE 10.3
Removal of concrete cover from pump foundation.408 Construction Management and Design of Industrial Concrete and Steel Structures
After completion of the building assessment and design of the supports
and ties, as well as ensuring the presence of competent staff, there may be
some information that is still not available, for example, the construction
procedures, workshop drawings, or specifications that were followed when
the building was constructed. Therefore, the risks are still high. The only factor that can help us reduce this risk despite the steel corrosion is an increase
in concrete strength with time. However, this compensation has limits as the
steel is carrying most of the stresses and the risk will be very high in cases
of spalling of the concrete cover due to a reduction in the concrete crosssectional dimensions.
It is necessary to remove concrete for a distance greater than the volume
required for removal of the defective concrete so that we can properly reach
the steel, because it will be important later in the repair process. There are
several methods commonly used for breaking and removing defective concrete. These will be explained in the following sections.
10.2.2.1 Manual Method
One of the simplest, easiest, and cheapest ways is to use a hammer and
chisel. With the use of drawings, many specialists prefer to remove defective
concrete this way. However, it is slow compared with mechanical methods.
It should be noted that mechanical methods produce high noise and vibration and require special precautions and trained labor. Using this manual
method, it is difficult to spare the concrete behind the steel. This method is
used in the case of small spaces and is the preferred method in the event of
corrosion due to carbonation and attacking chlorides from outside, which do
not require breaking concrete from behind the steel. Any worker can manually break the concrete, but you must choose workers who have worked
before in repair, as they must be sensitive in breaking the concrete to avoid
causing cracks to the adjacent concrete members.
10.2.2.2 Pneumatic Hammer Methods
These hammers work by compressed air and weigh between 10 and 45 kg.
If used on roofs or walls, the weight should be about 20 kg. They require a
small, attached power unit, but in large areas may require a separate, larger
air compressor.
This machine requires a properly trained operator. The compressed
air hammer has a few initial costs, of which a few were discussed by the
Strategic Highway Research Program (SHRP), and based on Vorster et al.
(1992), a research program of highways that the terms of the contract are governed by the contractor, which will use the breaking machine.
In the case of a small area to be removed, the use of pneumatic hammers
is more economical than in the case of large areas because, for large areas,Repair of Industrial Structures 409
it is preferable to use a water gun, which will be illustrated in the following
section.
These hammers are usually used in removing the covers of retaining walls
or reinforced concrete tanks. In the case of a client who does not specify the
area (in square meters) that needs to be removed in the tender and cost calculation phase, the risk will be low because the machine’s initial cost is low. In
this situation, it is preferable to use pneumatic hammers. The performance
rates indicate that some of the breakers are able to remove from 0.025 to 0.25
m3/h using hammers weighing 10 to 45 kg, respectively. In summary, pneumatic hammers are useful in removing small areas of concrete but are not
preferable in large areas.
10.2.2.3 Water Jet
This method has been commonly used since the 1970s, when it was introduced into the market. It relies on the existence of water at the work site. It
is preferable for the removal of a significant depth of concrete in a large area
and also for the removal of fragmented concrete and cleaning steel bars. It
also removes part of the concrete behind steel bars.
The water jet is used manually by a technically experienced worker who
has dealt with a pushing water using a high-pressure hose or, perhaps, with
a mechanical arm. It is important to observe very high safety precautions
for the worker who uses it and the site around it. The water used must not
have any materials that can affect the concrete, such as high chloride ions. In
general, it must be potable water.
The water gun consists of diesel engines and a pressure pump connected by
a hose that can bear high-pressure water in the gun nozzle of 30 to 70 N/ mm2,
as it requires at least 40 N/mm2 to cut concrete. The rate of water consumption is about 50 l/min. The performance rate of a water jet is between 0.25
m3/h (small pump) and ~1 m3/h (two pumps or one big pump).
It is a reasonable option in industrial projects because it is a low-risk issue,
as it removes a possible source of ignition that is present in the previous
options. Moreover, in terms of safety, water itself reduces hazards during
construction.
10.3 Cleaning the Concrete Surface and Steel Reinforcement
It is during this phase that any remaining broken concrete is removed with
a cleaning process, and at the same time, assessing the steel and cleaning up
and removing corrosion from the roof are carried out.410 Construction Management and Design of Industrial Concrete and Steel Structures
10.3.1 Concrete
After finishing the surface preparation, we start to pour the new concrete.
The success of the repair depends on the good bond between new and old
concrete. As the concrete element is carrying the stresses as one element.
Before applying the primer coating, which provides the bond between the
existing old concrete and the new concrete for repair, the concrete surface
must be well prepared and this depends on the materials used. In all cases,
the concrete surface must be clean and must not contain any oils, broken concrete, soil, or lubricants. Any of these should be cleaned completely through
sand blasting, water, or by manual brushing.
This stage is very important, regardless of the type of materials used to
bond the new concrete with the old concrete, and lack of attention to the
preparation of the surface might affect the repair process as a whole, taking
into account that this is the less expensive stage in the repair process.
We do not need to prepare a surface when using a water gun to remove the
delaminated concrete, as the surface will be wet enough and will be clean
after the crushing process. It is beneficial to use a water gun because it uses
air pressure to clean the surface of the concrete and remove any growth and
fragmented concrete used as supplement for the surface material used for
bonding with new concrete.
When using cement mortar or concrete for the repair, the concrete surface
should be sprayed by water until saturation is reached. The stage of saturation
can be reached by spraying water on the surface for 24 h or through wetting
burlap. Water spraying should be stopped and the burlap should be removed
for about 1 to 2 weeks, on the weather condition from low to high temperature, wind speed, and from high to low relative humidity, respectively. Then
surface is coated with a mixture of water and cement, which is called slurry.
This material should be applied by brush and also can use epoxy coating as
an adhesive between new and old concrete and must follow the specifications
and precautions stated by the manufacturer.
To achieve a better bond between the old and new concrete, the preparation
of the concrete surface should be in accordance with the American specification ACI 503.2-79, which states that the surfaces that will receive epoxy compound applications must be carefully prepared, as the bonding capability
of a properly selected epoxy for a given application is primarily dependent
on proper surface preparation. Concrete surfaces to which epoxies are to be
applied must be newly exposed and free from loose and unsound materials.
All surfaces must be meticulously cleaned, as dry as possible, and at a proper
surface temperature at the time of epoxy application.
The epoxy materials used for bonding should be compliant with the ASTM
C881-78 code, which must be well-defined by the supplier specifications and
compatible with the different circumstances surrounding the project, particularly temperature change that might occur in a resin as well as the nature
of loads carried by the required repair member.Repair of Industrial Structures 411
It is worth noting that during the execution of the repair process, epoxies
will be used significantly. Therefore, we must take into account its safety
for workers who use such materials. Therefore, the workers must wear their
personal protective equipment (PPE) as gloves and special glasses for safety
issues, as these materials are very harmful to the skin and cause many dangerous diseases if any one is exposed to it for long time.
There are also some epoxies that are flammable at high temperatures, and
that must be taken into account during storage and operation.
10.3.2 Cleaning the Steel Reinforcement Bars
After removing the concrete covers and cleaning the surface, the next step
is to measure the steel bar diameter. If it was found that the cross-sectional
areas of the steel bars have a reduction ≥20%, additional reinforcing steel
bars are required and before pouring new concrete, one must ensure that the
development length between the new bars and the old steel bars is enough.
The preferred method in connecting the steel to the concrete is by drilling
new holes on the concrete and putting the steel bars in the drilled hole filled
with epoxy. However, in most cases, the steel bars are completely corroded
and need to be replaced.
Figure 10.4 shows the pedestal under the pressure vessel during repair,
which is done to increase the thickness of the two sides of the pedestal
(Figure 10.5). The increase in thickness should be no less than 150 mm for
each side and the new two sides and the existing concrete should be connected with a steel bar to ensure that the pedestal is working as one unit and
FIGURE 10.4
Repair of concrete pedestal.412 Construction Management and Design of Industrial Concrete and Steel Structures
Plan
FIGURE 10.5
Pedestal repair.Repair of Industrial Structures 413
that there is no likelihood for separation between the new concrete and old
concrete, as the pedestal will be under low dynamic loads and probable thermal movements of the vessel. After connecting the two new sides with the
existing concrete, as a normal procedure, apply epoxy coating as an adhesive
between old and new concrete and then pour the new concrete manually or
by shotcreting.
As for the columns, the repair is performed as shown in Figure 10.6, which
shows how the casting is done at the site, but we must know that the minimum distance allowed to easily cast concrete is about 100–120 mm from each
side.
Fixing the dowel for the first floor (Figure 10.6) does not require drilling
holes on the base but making the legs of steel bars rest on the foundation.
The steel bars will be distributed around the column circumference, as in the
figure, to cope with the reduction of the steel reinforcement’s cross-sectional
area due to corrosion, and the cross-sectional area of the steel connected to
the concrete column should have the same percentage as the old column
member and not less than, as stated in the code.
Note that using a water jet in the breakers cleans the steel and removes corrosion, but sand blasting can also be used to remove corrosion. After cleaning steel bars completely (to remove the effects of chlorides), we then paint
the old steel using epoxies. Slurry, which is a mix of cement and water, is
used. When using mortar cement for repairs, the steel reinforcement is not
painted with epoxy to obtain alkaline protection from the cement mortar.
It noted that the improved cement slurry can dry quickly, making it ineffective in repairs that require the installation of forms after painting the bars,
but it works well in cases where the time between painting the steel and
pouring cement mortar is short (i.e., this should not exceed 15 minutes, as
stated in a U.S. Army manual, 1995).
New concrete
Add steel bars
New concrete
Additional steel
Stirrups 8 mm at 200 mm
FIGURE 10.6
Repair of concrete column.414 Construction Management and Design of Industrial Concrete and Steel Structures
10.4 New Patches of Concrete
There are some mixtures available on the market, which, when mixed, can
be used easily in repairs of small areas, as this mixture is very expensive.
In the case of repairs involving large surfaces, mixture preparation and
mixing should be on-site to minimize cost, but this must be carried out by
experts.
In addition to the concrete characteristics mentioned, using a pump for
pouring or shotcreting needs a specially designed mix.
In the USA and Canada, most of the contractors who work on bridge repair
use their own concrete mix, which has secret mixing proportions and are
made from locally available materials.
Factories producing ready-mix concrete provide a guarantee in case of corrosion due to carbonation, but they do not provide a guarantee in case of corrosion resulting from the presence of chloride after repair processes.
It also noted that most manufacturers of materials used in mixing are field
execution contractors, but even when they supply materials only, they should
provide all the information and technical recommendations for the execution, performance rates to calculate the required amount of the materials,
and appropriate method of operation.
Worldwide, all construction chemical companies have competent technical staff who can assist on site or supervise to avoid any error and define the
responsibility in case of any defects.
There are two types of materials used as a new mortar for repair: polymer
mortar and polymer-enhanced cement mortar. Both will be described in the
following sections.
10.4.1 Polymer Mortar
This mortar is providing us the required material repair characteristic properties from the ability to control, the ease of operation and control the setting
time.
This mortar provides a good bond with the existing old concrete and does
not need any other chemicals to increase the cohesion. This mortar has high
compression strength (~50–100 MPa) and high tensile strength.
Despite the many advantages of such mortar, because the difference in the
properties of this mortar to the existing concrete as the polymers have a coefficient of thermal expansion equal to 65 × 10−6/°C corresponding to concrete
thermal expansion coefficient equal to 12 × 10−6/°C. Moreover, the modulus
of elasticity for mortar is much less than that of concrete. These differences
in properties lead to cracks, which, in turn, generate internal stresses, but
this could be overcome by aggregate sieve grading, which reduces the difference in the natural properties of polymers.Repair of Industrial Structures 415
There are many tests to define this mortar and non-compliance with the
concrete (e.g., ASTM C 884-92 Standard Test Method for PCBs Comparability
Between Concrete and Epoxy-Resin Overlay).
10.4.2 Cement Mortar
Polymer mortar gives a physical protection to the steel reinforcement; however, the cement mortar gives passive protection, as they increase the alkalinity around the steel reinforcement. The trend now is to use cement mortar
for repair of damages that result from corrosion, as it has the same properties
as the existing concrete and it gives steel passive protection from corrosion.
Use of polymer additives to the cement mortar, in liquid or powder
form, improves some of the properties of cement mortar (Ohama and ACI
Committee 548), increases flexural resistance, increases elongation, reduces
water permeability, increases the bond between old and new concrete, and
increases the effectiveness of its operation.
The polymer used is identical with the cement mortar mixture, and the
properties that control the polymers in the cement mortar are stated in ASTM
C1059-91 (Specification for Latex Agents for Bonding Fresh to Hardened
Concrete).
Silka fume can be used with the mixture, as well as super plasticizers, to
improve the properties of the used mortar and reduce shrinkage.
10.5 Execution Methods
There are several ways to implement the repair process, and these are dependent on the structure of the member to be repaired and the materials used
in the repair.
10.5.1 Manual Method
The manual method is most usually used, especially in the repair of small
delaminated parts.
10.5.2 Casting Way at the Site
This is done by making a wooden form and then pouring concrete in the
damaged part (Figure 10.7) of concrete columns or vertical walls. One must
take into account the appropriate distance to easily cast the concrete in
the wooden form. This method is commonly used because of its efficiency
and low cost and it does not require expensive equipment, but extensive416 Construction Management and Design of Industrial Concrete and Steel Structures
experience is needed for its fabrication, installation of the wooden form, and
casting procedure.
10.5.2.1 Grouted Preplaced Aggregate
As shown in Figure 10.8, the aggregate with gap grading is placed in the area
to be repaired. The next step is to fluid a grout by injecting it inside the aggregate using a pipe with pump to fill the gap. This method is used in repairing
bridge supports and other special applications and uses special equipment
such as pipe injection, pump, and other special miscellaneous equipment.
Therefore, one can conclude that this method is used by private companies
with high potential.
10.5.2.2 Shotcrete
This is used in repairs of large surfaces, such as reinforced concrete tanks,
but the mix and components of concrete suitable for the use in shotcrete
should be considered, as they need special additives and specifications.
FIGURE 10.7
Casting concrete on site.Repair of Industrial Structures 417
Based on ACI 546 (1996), shotcrete is defined as concrete that is pneumatically conveyed at high velocity through a hose onto a surface. The high
velocity of the material striking the surface provides the compactive effort
necessary to consolidate the material and develop a bond to the substrate
surface. The shotcrete process is capable of placing repair materials in vertical and overhead applications without the use of forms, and it can routinely
place materials several hundred feet from the point of delivery.
Health and safety precautions must be carefully followed when using this
method because the materials contain polymer resins and special additives
that might harm the skin after prolonged exposure.
In the concrete mix design, the nominal maximum coarse aggregate size
must be suitable to the shotcrete equipment’s nozzle and pump to avoid any
problem during casting the concrete.
10.5.3 Complete Member Casting
This is used in the total reconstruction of a concrete member whose steel
reinforcement bars are depleted due to corrosion, and concrete is needed to
be poured to ensure full depth casting.
It is frequently used in the repair of bathrooms because in some cases, the
concrete slab will be in a very severe condition that ordinary repair will not
be efficient. In this case, all the concrete slabs would be demolished, a new
steel reinforcement installed, and then pour a concrete slab. Before deciding
to use this method, the whole building condition must be considered. This
method is usually easy to apply in the bathroom slab, as in residential buildings, the bathroom slab is usually designed as simply supported as it drops
around 100 mm for plumping pipes so when demolishing the slab will not
affect the surrounding slabs.
Wood or
steel form
Grouting pipe
injection
Aggregate with
same size
FIGURE 10.8
Injected preplaced aggregates.418 Construction Management and Design of Industrial Concrete and Steel Structures
There are generally two methods of application:
•	 Wet mixing: All ingredients, including water, are thoroughly mixed
and introduced into the delivery equipment. Wet material is pumped
to the nozzle where compressed air is added to provide high velocity
for placement and consolidation of the material onto the receiving
surface.
•	 Dry mixing: Preblended dry or damp materials are placed into the
delivery equipment. Compressed air conveys material through the
hose at a high velocity to the nozzle, where water is added. Materials are consolidated on the receiving surface by the high-impact
velocity.
10.6 Repair Steps
Figure 10.9 presents a case study (as in the case study in chapter 8) for repairing reinforced concrete ring beams that support steel tanks containing oil.
The ring beam structurally carries the tensile strength due to earth load
affecting the beam, which makes the ring beam under tension. Corrosion
of the steel reinforcement bars reduces the capacity of the ring beam. So the
best solution is to increase the number of steel bars to overcome the reduction on the steel cross-sectional area.
As in the following sketches, the first step in repair is to drill holes, put
steel stirrups in the holes, and fix by epoxy.
In step 2, install the main steel bars and coat the concrete surface by epoxy
to bond the existing old concrete with the new concrete.
In step 3, pour the new concrete with proper mixing design, which is
improvement by adding polymer as described above.
10.7 New Methods for Strengthening Concrete Structures
Aside from the traditional method, another way to strengthen reinforced
concrete structures is to use steel sections. This method has many advantages, one of which is that it does not add significant thickness to the concrete
sections, and this is important in maintaining architectural design. As it is a
quick solution to strengthen the concrete member, it is usually used in industrial structures and buildings.Repair of Industrial Structures 419
When there is corrosion in the steel reinforcement, using steel support by
itself is not considered appropriate, but it can be used together with epoxy
paints, which should be reapplied periodically.
Recently, there were many studies and researches that use fiber reinforcement polymer, which has many advantages over steel and the most important
of which is it does not corrode and can therefore be used in any environment
exposed to corrosion.
There are some modern ways to protect the steel reinforcement from corrosion, such as replacement of steel reinforcement bars with fiber polymer
and using some epoxies that coat the concrete surface by painting. Generally,
Drilling holes
by Hilti
Epoxy to
bond steel
in concrete
New steel
bars
STEP 2
Drilling holes
by Hilti
STEP 1
Drilling holes
by Hilti Prime
coating
Epoxy to
bond steel
in concrete
New steel
bars
New
Concrete
STEP 3
FIGURE 10.9
Steps of repair.420 Construction Management and Design of Industrial Concrete and Steel Structures
the goals of strengthening the structure are the following: restoration of the
concrete member’s capacity to withstand loads, increase their ability to carry
loads more than the original plan, reduce the deflection that occurs when
the concrete member is overloaded, stop the increase in the number of the
cracks, and/or reduce the crack width in the concrete member.
Therefore, strengthening is required in the following cases:
•	 Error in design or execution, which causes a reduction in the steel
cross-sectional area or a decrease in concrete section dimensions.
•	 Deterioration of the structure, which leads to the weakness of the
resistance (e.g., corrosion in steel reinforcement).
•	 Increase in loads (e.g., increase in the number of stories or change in
building function such as change from residential building to office
building).
•	 Change on the structural system as removal of walls.
•	 Adding holes on the slab, which reduces the slab strength.
•	 Some special structures need strengthening, such as bridges,
because traffic flow increases with time and the flow of traffic and
heavier trucks may be higher than the design, so the bridge needs to
be strengthened to accommodate the overloaded and new operation
mode.
•	 Load may change with time, as what happens in buildings in earthquake zones; the same happened in Egypt when the earthquake map
changed, and consequently, some buildings needed to be strengthened to match with specifications.
•	 If the structure is exposed to high temperatures due to fire.
•	 In industrial structures, when big machines are installed.
•	 Also in industrial buildings, the machines mature with time or
change mode of operation, which results in high vibration.
10.8 Using Steel Sections
Traditionally, steel structure sections are used to strengthen the reinforced
concrete structure and are preferred for industrial buildings because they
are usually available in the field. In addition, repairs can be performed easily,
and in some cases, the steel sections can be used as a temporary repair. As
for example, it was used to overcome of moving the saddle for a horizontal
vessel with respect to the pier.Repair of Industrial Structures 421
In industrial structures, no need for aesthetics as the architectural design
is not the main interest, on the other hand, the fast repair is very critical so
the repair and strengthening is the best solution in most cases.
Strengthening the concrete member is varied and depends on the member
that needs strengthening. The strengthening process is calculated based on
the reduction in strength in the concrete section, and the goal is to compensate this reduction using steel sections.
To strengthen a concrete beam that lacks steel reinforcement, a C-shaped
beam is used (as in Figure 10.10a). This offers an architectural advantage
because it does not change the aesthetics and there is minor reduction in
member capacity.
FIGURE 10.10
(a) Strengthening RC beam by C section and (b) strengthening RC beam by I-beam.422 Construction Management and Design of Industrial Concrete and Steel Structures
On the other hand, in the case of significant reduction in concrete member
capacity and when increase in depth is significantly needed, an I-beam section should be used (Figure 10.10b).
Another way to strengthen beams is by stabilizing sheets of steel (Figure
10.11) and fixing them using mechanical bolts or through chemical substances such as epoxy. The purpose of adding this steel sheet is to increase
the moment of inertia of the beam, thereby increasing its ability to withstand
stress more than the design flexural stresses.
In case of beams with shearing force direction, the beam can be strengthened as in Figure 10.12. Cracks on the upper surface of the slab in the beam
direction signify a shortage in the upper reinforcement of the slab and it can
be strengthened using a steel sheet on the upper surface (Figure 10.13). These
plates can be fixed onto the surface by bolts whose nuts are fixed on the lower
part of the slab (Figure 10.13).
Steel plate
thickness 4 mm
300–500 mm
100
mm
FIGURE 10.11
Strengthening of concrete beam by steel plate.
FIGURE 10.12
Beam strengthening in the direction of shear.Repair of Industrial Structures 423
To strengthen the flat slab, the steel angles should be fixed between slab
and columns (Figure 10.14). Short cantilevers are used in the frames of factories or bridges, where the main stresses are due to shear and the others are
due to flexural stress. To strengthen the cantilever, a steel sheet is added at
its two sides, applying compression force with bolts, thereby reducing the
likelihood of collapse due to shear (Figure 10.15).
In the case of a residential building, such as an administration building
or a labor house, the steel with the smallest dimension is preferred so as to
maintain the architectural design and can be covered with wire steel mesh,
plaster, wood, or decor to provide an acceptable view as well.
10.9 Fiber-Reinforced Polymer
Modern science does not stop in the construction field, as we know that
the development in computer technology is continuous and rapid, and this
Washer
Nut
Bolt
FIGURE 10.13
Slab strengthening in direction of upper steel.
FIGURE 10.14
Strengthening of flat slab.424 Construction Management and Design of Industrial Concrete and Steel Structures
development is happening in all areas, including engineering constructions.
At the same time, there has been an evolution in some materials such as plastic, which is based on epoxies, as explained in the previous chapters.
The use of such epoxies increases the quality of concrete, and the concrete compressive strength reaches 1500 kg/cm2. The competition between
international companies led to the development of different methods for
strengthening reinforced concrete structures.
The traditional way of strengthening concrete structures is done increasing the concrete sections or through steel sections, and concrete members of
various constructions and special structures such as bridges use steel sheets
that are fixed on the concrete through bolts.
The fundamental disadvantage of using steel sheets to strengthen the concrete member is corrosion. Therefore, steel sheets need to be protected from
corrosion, particularly in the region of contact between surface of concrete
and steel; thus, use of steel sections in severe environmental conditions is
not ideal and should not be used. In addition, steel is heavy, and this leads to
a higher cost because it is more expensive to transport and store than fiberreinforced polymer (FRP) solution.
The growing interest in FRP systems for strengthening and retrofitting
can be attributed to many factors. Although the fibers and resins used in FRP
systems are relatively expensive compared with traditional strengthening
materials like concrete and steel, labor and equipment costs to install FRP
systems are often lower.
FRP systems can also be used in areas with limited access and where traditional techniques would be very impractical, for example, a slab shielded
by pipe and conduit. FRP systems also have lower life-cycle costs than
FIGURE 10.15
Strengthening of short cantilevers.Repair of Industrial Structures 425
conventional strengthening techniques because the FRP system is less prone
to corrosion.
The presence of such defects in steel led to the development of plastic fiber
bar (FRP) as an alternative to steel sheets.
FRP is now being used in a wide range of their advantages and makes
alternative to the steel used in the strengthening of their distinctive characteristics, such as its resistance to corrosion, which operate under any circumstances environmental caution as the concrete member is usually exposed to
heat, salt, and different chemicals, which makes it a solution of suitable of the
industrial structures.
There are different types of FRP, the most famous of which is the carbon
fiber–reinforced polymer (CFRP), which is usually used because of its practical applications and its unique properties in terms of resistance to stress and
resistance with time. As stated (Roaster 1990), the performance is good at
increased temperature.
10.9.1 CFRP Types
There are different commercial dimensions of CFRP in the market, and the
most common widths used are 1–1.5 and 50–150 mm. Both widths consist
of 60% to 70% carbon fiber in one direction, with diameter of about 10 µm
embedded in epoxy resin.
Its mechanical properties are different from one type to another, but generally, the modulus of elasticity is between 165 and 300 N/mm2 and the tensile
strength ranges from 2800 to 1300 N/mm2, and we find that the lower value of
the modulus of elasticity corresponds with the maximum tensile strength.
The carbon fiber sheet, as shown in Figure 10.16, is embedded in resin of
epoxy.
Another important property is density. The density of CFRP is about
1.6 t/ m3, compared with steel, which is 7.8 t/m3, or about 10 times heavier
than CFRP; this big difference in weight makes the transfer of CFRP easier
to manage.
The adhesive materials used to bind the sheets of carbon fiber resin are
a mixture of high resistance and the rule of filling quartz and its tensile
strength is about 30 MPa, up from the concrete tensile strength to about 10
times as well as the rate of shrinkage and creep is small and bear the high
temperatures and bear exposure to chemicals.
The mechanical properties of carbon fiber sheets in the longitudinal direction are often controlled by the fiber and its behavior is linear elastic until it
collapses.
10.9.2 Application on Site
Before strengthening concrete structures, it is necessary to fully examine all
the circumstances surrounding the structure in order to determine the type426 Construction Management and Design of Industrial Concrete and Steel Structures
of strengthening needed. It is preferred that the company supplying the plastic fiber perform the installation because they are more experienced with the
design and can easily identify the required thickness.
If the loss of strength is the result of steel corrosion or chemical attack, it is
important to first remove the rust from the steel bars and the chemical substances that attack the concrete before strengthening the structure.
The concrete must be settled through sand blasting to level the surface and
eliminate any gaps or delaminated concrete.
The next step is to collect all the damaged concrete and sand by air suction,
air pressure, or water pressure to clean the surface.
Before fixing the CFRP, it is strongly recommended that the surface must
be leveled and cleaned, and in case of cracks or delaminated concrete, the
surface must be repaired. The mixture that provides the bond between the
segments of CFRP and the concrete surface is very important because it is
responsible for the transfer of the stresses from the concrete to the CFRP.
Therefore, the preparation of the epoxy mix and the percentage of mixture
FIGURE 10.16
Carbon fiber sheet.Repair of Industrial Structures 427
component must be precise and under the supervision of the manufacturer,
as it needs an extensive experience in the application, transportation, and
storage.
This epoxy material is a blend of resin and hardener mixed by an electric
hand mixer for about 3 minutes, until mixture homogeneity find clear when
either the bottom and sides of the container containing a homogenous mixture and generally greater speed allowed is about 500 rpm.
The epoxy should be applied accurately on the surface, with a thickness
of 0.5–2 mm, and all the gaps must be filled, making sure there are no air
voids.
The repair of a beam damaged by shear stress or with reduced shear stress
capacity is also shown in Figure 10.17.
10.10 General Precaution
Note that the safety of the structure relies primarily on the quality of the
repair process in terms of execution, design, and planning, the repair process, the identification of the necessary temporary support of the building
and the location, which are dependent on the nature of the structure and its
structural system.
Also, determining the method in breaking off and removing the defective
concrete and choosing the materials for the repair must be in full conformity
with the state and nature of structure and location of the retrofit members
within the overall structural system, and all these elements require special
expertise. Without these experiences in the repair process, the possibility of
risk in terms of safety of structure is very high. An ineffective repair process
also has serious economic consequences (e.g., performing a complete repair
of a member due to chloride that is suspected to come from the outside but is
actually inside the concrete).
FIGURE 10.17
Strengthening the beam for shear failure.428 Construction Management and Design of Industrial Concrete and Steel Structures
From the economic point of view, it must be remembered that the repair
process, in general, is very expensive because of the materials used, the precautions that must be taken into account during execution, and highly experienced workers who will carry out the repair process.
During the repair process, the health and safety of the workers doing the
repair must be taken into account, as the process often uses epoxy materials
or polymers that cause breathing and skin problems over time; in addition,
some other tools require careful attention. Unfortunately, although health
and safety precautions are being followed in developed countries, they do
not have the same degree of attention in developing countries, despite the
fact that the interest in this matter provides a lot of time and money for the
whole project.
After the repair process, taking into consideration the repair methods, the
different ways of execution, and the workers’ health and safety precautions,
the equipment should be cleaned very well; otherwise, the epoxy polymers
and other materials left will damage the equipment and lead to subsequent
operation problems.
References
Abdul-Wahab, H. M. 1989. Strength of reinforced concrete corbles with fibers. ACI
Struct J. 86(1):60–66.
American Concrete Institute (ACI) Committee 440. September 2000. Guide for the
Design and Construction of Externally Bonded FRP Systems for Strengthening
Concrete Structures. Farmington Hills, MI: ACI.
American Concrete Institute (ACI) Committee 506. 1994. Proposed revision of specification for materials, proportioning and application of shotcrete. Am Concrete
Inst Mater J. 91(1):108–115.
American Concrete Institute (ACI) Committee 548. 1994. State of the Art Report on
Polymer Modified Concrete. ACI Manual of Concrete Practice. Farmington Hills,
MI: ACI.
American Concrete Institute (ACI) Committee 546. 2001. Concrete Repair Guide.
Farmington Hills, MI: ACI.
U.S. Army Corps of Engineers. 1995. Engineering and Repair of Concrete Structures,
Manual 1110-2-2002. Washington, DC: U.S. Army Corps of Engineers.
Mufi, A., M. On Ofei, B. Benmok, N. Banthica, M. Boulfiza, J. Newhook, B. Bakht, G.
Tedros, and P. Brett. 2005. Durability of GFRP Reinforced Concrete in Field Structure.
7th International Symposium on FRP for Reinforced Concrete Structure
(FRPRC5-7), USA, November 7, 2005.
Neubauer, U., and F. S. Rostasy. 1997. Design aspects of concrete structures strengthened with externally bonded FRP plates. Proc 7th Int Conf Structural Faults and
Repair. 2:109–118. Edinburgh: Engineering Technics.
Ohama, Y. 1995. Handbook of Polymer-Modified Concrete and Mortars. Park Ridge, NJ:
Noyes Publication.Repair of Industrial Structures 429
RILEM Committee 124-SRC. 1994. Draft recommendation for repair strategies for
concrete structures damaged by steel corrosion. Mater Struct. 27(171):415–436.
Vorster, M., J. P. Merrigan, R. W. Lewis, and R. E. Weyers. 1992. Techniques for
Concrete Removal and Bar Cleaning on Bridge Rehabilitation Projects. SHRP-S-336.
Washington, DC: National Research Council.431
11
Economic Study for Maintenance Plan
11.1 Introduction
In general, the economic factor is one of the most influential factors in an
engineering project. In most industrial companies, part of the annual budget
is allocated for the maintenance of concrete and steel structures to ensure
their reliability during plant operations. The main challenge is to define the
maintenance budget and how to spend this budget in the right manner.
Maintenance philosophies are usually initiated by the mechanical engineering section as part of its efforts to increase the reliability and availability of machines and rotating equipment. Recently, these methods have been
applied to structures.
These philosophies stem from corrective failures that fail to perform any
maintenance until partial failure occurs such as spall of concrete cover. This
method is very costly and cannot be applied to critical and large structures.
As an alternative, we apply preventive maintenance, which consists of painting the steel structure regularly.
Nowadays, maintaining a reliable structure entails adopting predictive maintenance by monitoring the foundation vibration or hair cracks or
set tlement, which we will focus on in our discussion regarding periodic
in spection plans. This type of maintenance philosophy features a proactive
maintenance stance, which focuses on monitoring and addressing of root
causes of failures (e.g., concrete contamination with chloride).
To apply the predictive and proactive maintenance philosophies, a group
must be formed that will oversee this program from the planning phase up to
its implementation phase through the integrity management organization.
Recently, based on the total integrity management system, large corporations have started adopting this strategy to maintain the structural integrity
of their facilities.
Thus, there are different techniques that can be used to define inspection and maintenance plans for onshore and offshore structures. One prime
example is the risk-based inspection (RBI) methodology, which provides
a complete set of inspection and maintenance plans. Using this approach,
a company can set aside an annual budget to perform inspection and432 Construction Management and Design of Industrial Concrete and Steel Structures
maintenance and at the same time draw up resources management plans to
achieve its maintenance targets.
By knowing the whole structure lifetime, it can be easy to calculate the
expected number of times that routine maintenance and inspection must be
performed throughout the structure’s lifetime.
The economic study to choose alternatives in the case of a new structure
is very important in determining the appropriate method for protection by
taking into account the life span of the protection method. In addition, it is
necessary to take into account the initial costs of periodic maintenance.
Generally, cost calculation is based on a summation of the initial costs of
protection with the cost of maintenance that will be performed in different
periods. The number of maintenance times during the whole life of a structure varies depending on the method of protection and the method used in
the repair procedure during maintenance.
To maintain an existing old building and restore the structure to its original strength, the repair method of rehabilitation is also governed by the
initial costs of repair and the number of times the maintenance will be performed and its costs over the remaining life of the structure.
The previous chapters focused on how to choose among the various alternatives for the protection methods that can be used as well as the appropriate repair methods and the materials that are usually used in repairs. The
previous discussion is presented from a technical point of view only. In this
chapter, however, the way of comparing between different alternatives will
be discussed from an economic point of view to assist us in the decisionmaking procedure.
The lifetime of maintenance or the protection of the structure must be
taken into consideration, so the required time to perform the maintenance
must be discussed thoroughly, and the first step is to calculate this time.
The process of determining the time of maintenance depends on the maintenance cost estimate versus the structure probability of failure; therefore,
it is important to decide on the selection of the appropriate time to perform
maintenance.
The process of decision-making will be clarified and how to use it from the
standpoint of determining the right time for maintenance in a less-expensive
verification process method called “optimization procedure.”
11.2 Basic Rules of Cost Calculation
There are several basic rules for calculating the economic costs of any engineering project and for applying those rules to select the type of protection
required for a structure as well as the selection method of repair.Economic Study for Maintenance Plan 433
The most popular methods of economic analysis tools are the present
value, future value, and interest rate of return. Here, the method of calculating the present value is described briefly, as it is the easiest way to select the
appropriate method of economic repair and an appropriate system to protect
the structure from effects of corrosion.
11.2.1 Present Value Method
The cost of protecting reinforced concrete from corrosion consists of the preliminary costs of this method of protection and the money paid with the
beginning of construction. On the other hand, the cost of maintenance and
repair will extend over the lifetime of the structure.
In many cases, the cumulative cost of maintenance and repair is higher
than initial costs. In many projects, cost calculation is often based on the
initial costs only, but the result is that the total cost is very high compared to
those of the structure’s cost estimate, which covers only the initial cost.
A method of present value is used to calculate the present value of future
repair, including the cost of equivalent current value with the assumption
that the repair will take place after a number of years, n.
Present value = Repair cost (1 + m) − n (11.1)
where m is the discount rate, which is the interest rate before the inflation
rate (e.g., when one assumes that the interest rate is 10% and the inflation
rate is 6%, the discount rate (m) is equal to 4% or 0.04), and n is the number
of years.
The total cost of the structure consists of the initial cost, which is called
capital cost (CAPEX), in addition to the sum of the present values of future
costs due to maintenance, which is called operating cost (OPEX). When the
rate of inflation increases, the cost of future repair will not be affected. But
when it decreases, present value of future repair will increase. Note that the
inflation rate varies depending on a country’s general economic conditions
and this information is usually available.
11.3 Repair Time
The time required to repair the structure as a result of steel corrosion is the
time at which corrosion begins in the steel reinforcement bars and the time
needed to spall the concrete cover with signs of concrete deterioration. This
essentially requires work with repair.
Tuutti (1982) offered a simple explanation of a process of corrosion with
time; the steps were for all types of corrosion and there was no difference434 Construction Management and Design of Industrial Concrete and Steel Structures
if corrosion happened as a result of chloride attack or carbonation propagation. However, the invasion of chlorides or the carbonation of concrete takes
a long time to break the passive protection layer on the steel bars and start
corrosion.
After that, the span between the beginning of corrosion to a significant
deterioration in the concrete, when repair will be necessary, will take more
time. Raupach (1996) pointed out that in the case of concrete bridges, degradation occurs in about 2–5 years. Therefore, the time for repair is the total
time required for the protection of depassivation in addition to 3 years.
The process by which corrosion affects the concrete structure is illustrated
in Figure 11.1 (El-Reedy, 2006). Note that after construction, it will take time
before chloride concentration or carbonation starts to accumulate on the surface and eventually spread into the concrete.
The next step is the propagation of chlorides or carbonation until the steel
bars are reached. The third step is the start of corrosion on the steel bar,
which at this time will have an impact on concrete strength via reduction of
steel diameter and appearance of cracks on the concrete surface. The last step
is an increase in crack width until spalling of the concrete cover.
From the preceding analysis, we find that the time required for repair
depends on the time needed to increase the percentage of chloride concentration to the limit that will initiate corrosion, in addition to the rate of corrosion, which will happen after that.
The previous chapter discussed several types of methods for the protection of the structure from corrosion. These methods will delay the start of
Concrete deterioration
Start of chloride concentration or carbonation
Start of corrosion
Cracks start to appear
Spalling concrete cover
FIGURE 11.1
Deterioration of a concrete structure.Economic Study for Maintenance Plan 435
corrosion for a longer period, as they reduce the rate of the chloride or carbonation propagation in concrete. They will also reduce the rate of corrosion
after that. Note that the preceding analysis relies on the noninterference of
hair cracks on the concrete in the rates of spread of chlorides or carbonation
within the concrete. It is assumed that the design was based on the absence
of an increase in cracks more than that permissible in codes.
The time required to start the structure repair depends on the nature of
the surrounding weather and environmental factors affecting the beginning
and the rate of corrosion. This time is determined by knowing the rate of corrosion and the required time to spall the concrete cover. The deterioration of
concrete increases the probability of the collapse of the structure with time;
several studies have identified the probability of failure, which should not be
beyond the structural reliability classified in various specifications.
A study on residential buildings by El-Reedy et al. (2000) focused on how
to determine the appropriate time to perform repair due to corrosion on the
concrete columns. This study considered environmental conditions around
the structures—they were affected by humidity and temperature, which
have a large impact on the increasing rates of corrosion. A corrosion rate
of 0.064 mm/yr reflects the dry air, whereas a corrosion rate of 0.114 mm/
yr is based on a very high rate of moisture. This study took into account the
increasing resistance of concrete over time, as well as the method of determination in the case of higher steel or low steel columns with different times
required for the repair process.
11.3.1 Capacity Loss in Reinforced Concrete Sections
Based on the fundamentals of design of any reinforced concrete member,
the member’s capacity is dependent on the cross-sectional dimensions (concrete and steel area) and material strength (concrete strength and steel yield
strength).
In the case of uniform corrosion as shown in Figure 11.2, the total longitudinal reinforcement area can be expressed as a function of time, t, as
follows:
As t
n D t T
n D C t T t T
( ) =
≤
  − − ( )  >
 
π
π
2
2
4
2 4
/ for
for
i
r i i

(11.2)
where D is the diameter of the bar, n is the number of bars, Ti is the time of
corrosion initiation, and Cr is the rate of corrosion. Equation (11.2) takes into
account the uniform corrosion propagation process from all sides.
The curves in Figures 11.3 and 11.4 show that, over time, the collapse of a
structure is more likely with the increase in the rate of corrosion.436 Construction Management and Design of Industrial Concrete and Steel Structures
Khalil et al. (2000) study revealed that concentrically loaded reinforced
concrete columns will be due for maintenance in about 4 to 5 years from
the initial time of corrosion with the lowest steel ratio and higher corrosion
rate. In cases of higher steel ratios and lower corrosion rates, this period may
increase to about 15 to 20 years. Moreover, this study expects that in the case
of columns with eccentricity, the moment on the column will increase so the
design should increase the percentage of steel. In such a case, it is expected
that the deterioration of a structure toward criticality will ensue after a couple of years in the case of the lowest reinforcing steel ratio and very high corrosion rate. On the other hand, in the case of a higher reinforcing steel ratio
and lower corrosion rate, the maintenance will be due after about 6 years.
5 4 3 2 1 0
0 10 20 30 40 50
Time (years)
Reliability index
Cr
= 0.064 mm/yr
Cr
= 0.089 mm/yr
C
r = 0.114 mm/yr
FIGURE 11.3
Effects of corrosion rate on reliability index at a reinforcement ratio = 1%.
Uniform corrosion on steel bars Steel bars without corrosion
D
FIGURE 11.2
Reduction in steel diameter due to uniform corrosion.Economic Study for Maintenance Plan 437
As we expected, the time required for repair is closely related to the nature
of the structure and the method of design, as well as to the importance of
the building. For example, vital structures such as nuclear facilities require
protective measures with a time much different from that of other structures
such as residential buildings.
11.3.2 Required Time to Corrosion
In the case of structures exposed to chlorides, the time required for the spread
of chloride in the concrete until it reaches the steel is the time required for
corrosion.
In the case of structures exposed to carbonation spread inside the concrete
cover, several equations can be used to calculate the time required for this
propagation. To calculate the depth of the carbon transformation, the following equation can be used:
d = A(t)–0.5, (11.3)
where A is a fixed amount depending on the permeability of concrete as
well as the quantity of carbon dioxide in the atmosphere and several other
relevant factors.
A = (17.04(w/c) – 6.52)SW, (11.4)
where w/c is the water/cement ratio (less than 0.6), S, is the effect of cement
type, and W is the weather effect. This equation gives the average depth of
6 5 4 3 2 1 0
0 10 20 30 40 50
Time (years)
Reliability index
Cr
= 0.064 mm/yr
Cr
= 0.089 mm/yr
Cr
= 0.114 mm/yr
FIGURE 11.4
Effects of corrosion rate on reliability index at a reinforcement ratio = 4%.438 Construction Management and Design of Industrial Concrete and Steel Structures
carbon transformation. Therefore, when calculating the maximum depth of
the transformation of carbon, one should increase the value from 5 to 10 mm.
S = 1.2 when using cement with 60% slag. W = 0.7 in the case of concrete protected from the outside environment.
11.3.3 Time Required to Deterioration
The time required after the beginning of corrosion has already been discussed. As noted earlier, this time is about 3 years in the absence of a corrosion inhibitor; it can extend up to 4 years when a corrosion inhibitor is added.
On the other hand, when epoxy-coated reinforcing steel is used, the period
is extended to 15 years. Note that the use of epoxy-coated reinforcing steel
can help reduce the rate of corrosion in a clear reversal of contraceptive use
corrosion inhibitor because it is not actually affected in reducing the rate of
corrosion.
In general, the time of collapse of concrete cover from the beginning of
corrosion depends on the rate of corrosion occurring in steel reinforcement.
Several studies have calculated the rate of corrosion. It was found that corrosion is closely related to relative humidity. As stated by Tuutti (1982), in
the case of steel corrosion due to carbonation, the corrosion rate decreases
gradually at a relative humidity of 75% or lower. This rate increases quickly
when relative humidity reaches 95%. It is noted that when temperatures drop
below 10°C, the rate of corrosion will be reduced by about 5–10%.
Broomfield (1997) stated that the rate of corrosion is affected by the relative moisture and a dry situation where concrete is poured and the proportion of chlorides. Morinaga (1988) stated that the rate of corrosion was totally
prevented when the relative humidity was less than 45%, regardless of the
chloride content and the temperature or oxygen concentration.
Broomfield also stated that cracks in concrete occur when a lack of steel is
about 0.1 mm or lower. That depends on the oxygen concentration and distribution and the concrete’s ability to withstand excessive stresses. The rebar
distribution can increase the cracks by concentrating stresses, if the spacing
of the steel bar is not enough or at a corner where there is a less confinement
to the steel bar to resist cracks. It has been observed that reduction in a section of about 10–30 μm can result in a fragile layer of corrosion and is enough
to cause concrete cracks.
The following equation of Kamal et al. (1992) is used to calculate the time
necessary from the beginning of corrosion to the emergence of the effects of
corrosion on the concrete:
t
s = 0.08(C – 5)/(DCr), (11.5)
where t
s is the time from the beginning of corrosion until the concrete cover
falls, C is the concrete cover thickness, D is the steel bar diameter, and Cr is
the corrosion rate (mm/year). The total time expected to perform the firstEconomic Study for Maintenance Plan 439
repair depends on the time of the beginning of corrosion in addition to the
time needed to increase the rate of corrosion to cause concrete deterioration,
and to perform the repair.
11.4 Repair and Inspection Strategy and Optimization
The decision-making methods of engineering projects have been the focus
of numerous studies—in terms of their economic importance to the cost of
the project as a whole—because a wrong decision could result in spending
huge amounts of money to reverse it. Therefore, some studies have used
decision trees to determine the appropriate time for repair, particularly in
some bridges that require periodic inspections.
When performing the maintenance plan strategy based on cost, we must
consider all the factors affecting corrosion in general, and other factors affecting structure durability.
Any method upon which a decision is based should define the time for
regular maintenance and inspection (e.g., 10, 15, or 20 years). This decision
is made first and foremost through the identification of the least expensive
option.
Figure 11.5 summarizes the reliability of any structure during its lifetime.
As shown, the structure in the beginning will have a higher capacity; the
probability of failure value is based on the code of standard on which the
structure design is based (in most codes it is 1 × 10−5). After a certain period,
the structure will deteriorate, thereby increasing its probability of failure.
After time Δt, when inspection and repair have been conducted, the structure will recover its original strength, as shown in the figure. After another
period, the probability of failure will increase until it reaches a certain limit
and then further maintenance is performed, and so on.
Inspection alone does not improve reliability unless it is accompanied by
a corrective action in the event that a defect is discovered. Several policies
∆t
Pf
Time (years)
FIGURE 11.5
Concrete structure performance.440 Construction Management and Design of Industrial Concrete and Steel Structures
and strategies used in a wide range for concrete structures, which have been
programmed, include:
•	 Monitoring until the crack depth reaches a certain proportion of the
material thickness and then repairing
•	 Immediately repairing upon detection of indications of damage
•	 Repairing at a fixed time (e.g., 1 year) after detection of indications
of damage
•	 Repairing as new (i.e., repair welding)
In general, it is assumed that inspections are performed at constant time
intervals as shown in Figure 11.6, since the inspection authorities often prefer a constant inspection interval to facilitate planning. From this point, the
inspection intervals are chosen so that the expected cost of inspection, repair,
and failure is minimized.
Although most concrete structure inspection techniques are visual or
involve various nondestructive testing (NDT) inspection methods, the ability to detect damage depends on the quality of inspection performed. A
higher-quality inspection method will provide a more dependable damage
assessment. No repair will be made unless the damage is detected. In other
structures such as steel structures, general inspection usually includes visual
inspection and performance of NDT such as ultrasonic tests (UT) if section
reductions are detected or UT and magnetic particle inspection to check the
welds if the structure is under dynamic loads.
For offshore structures, inspection will be performed on the topside similar to steel structures onshore, but the jacket of the platform must undergo
underwater inspection. Underwater inspection, which incurs high costs, can
be performed by divers or remote operating vehicles (ROVs). ROVs or divers
perform visual inspection to detect the flooded member, define the location
of damaged or bent members, define the thickness of marine growth and
scour, and measure the cathodic protection reading.
Time (years) T
q
Inspection
quality
∆t
FIGURE 11.6
Inspection strategy.Economic Study for Maintenance Plan 441
11.4.1 Repair
Inspection may not affect the probability of failure of the structure. After an
inspection, a decision must be made regarding repair if damage is found.
The repair decision will depend on the quality of inspection. With advanced
inspection methods, even a small defect can be detected and repaired. Higher
quality inspection may lead to higher quality repair, which brings the reliability of the structure closer to its original condition. Aging has an effect on
the structure, so the reliability of the structure is decreased. In this chapter,
it is proposed that after inspection and repair, the structure capacity will be
the same as the design conditions, which are shown in Figure 11.5.
11.4.2 Expected Total Cost
As noted by El-Reedy and Ahmed (1998), the first step is to determine the
service life of the structure. Assume that it is 75 years and routine maintenance is scheduled once every 2 years (starting at t = 2 years and continuing until t = 74 years). Consequently, preventive maintenance work will be
performed 37 times during the life of the structure. Therefore, the lifetime
routine maintenance cost becomes:
CFM = Cm2 + Cm4 + Cm6 + ⋯ + Cm74, (11.6)
where CFM indicates the total maintenance cost, and the total expected cost in
its lifetime (T) is based on the present value. The expected lifetime preventive maintenance cost becomes
C C
r
C
r
C
r
C=++IR IR IR IR IR+++
+ +
2 2 4 4 6 6 74
1
1
1
1
1
( ) ( ) ( ) 1

1
( ) 1 + r 74 , (11.7)
where CIR is the periodic inspection and minor repair and r is the net discount rate of money.
In general, for a strategy involving m lifetime inspections, the total expected
inspection cost is:
C C C
r
i
m
ins i = + ns R T
+
∑=1
1
( ) 1 1
, (11.8)
where
Cins = Inspection cost based on inspection method
CR = Repair cost
R = Net discount rate442 Construction Management and Design of Industrial Concrete and Steel Structures
Finally, the expected total cost CET is the sum of its components including
the initial cost of the structure, the expected cost of routine maintenance,
the expected cost of preventive maintenance, which includes the cost of the
inspection and the repair maintenance, and the expected cost of failure.
Accordingly, CET can be expressed as:
CET = CT + (Cins + CR)(1 – Pf) + CfPf (11.9)
The objective remains to develop a strategy that minimizes CET while keeping
the lifetime reliability of the structure above a minimum allowable value.
11.4.3 Optimization Strategy
To implement an optimum lifetime strategy, the following problem must be
solved:
Minimize CET subjected to Pf life ≤ Pmax,
where P
max is the maximum acceptable lifetime failure probability. Alternatively, considering the reliability index,
β = ϕ–1(1 – P) (11.10)
where ϕ is the standard normal distribution function. The optimum lifetime
strategy is defined as the solution of the following mathematical problem:
Minimize CET subjected to βlife ≥ βmin
The optimal inspection strategy with regard to costs is determined by formulating an optimization problem. The objective function (CET) in this formulation is defined as including the periodic inspection and minor joint repair
cost, and the failure cost, which includes the cost of major joint repair. The
inspection periodic time (Δt) is the optimization variable constrained by the
minimum index β specified by the code and the maximum periodic time.
The optimization problem may be mathematically written as:
Find Δt, which minimizes the objective function:
C t C P t
r
r r
T
ET( ) ∆ ∆ = − ( ) IR ( ( f )) ∆T
( ) + −
1 ( ) ( ) + − ( ) +
1 1
1 1 1
T
T
C P t T T T
r
r r


+
( ) + −
f f( ) ∆ ( ) ( ) + ∆ − ( ) +
1 1
1 1 1


(11.11)Economic Study for Maintenance Plan 443
subject to β(t) ≥ βmin, Δt ≤ T, where CIR is the periodic inspection and minor
repair cost per inspection; Cf is the major repair cost; i is the real interest rate;
and βmin is the minimum acceptable reliability index. CIR and Cf are assumed
constant with time.
Even though the failure cost is minimized (as part of the total cost), it is
often necessary to put a constraint on the reliability index to fulfill code
requirements. Since the period for the proposed repair is T, and n is the total
lifetime of the building and CIR is the cost of inspection and repairs, and they
are costs resulting from the collapse.
The value of the expected cost at each period is a curve that follows Figure 11.7, which defines the period required for the process of periodic maintenance, which is achieved at less expense, as in the curve that follows.
Δt indicates the period required for the process of the periodic maintenance, which achieved at the highest cost. The previous equation can generally be used for comparison between different types of repair with different
time lengths and different costs. It is calculated by adding the initial cost of
the repair and design curve. The decision can be determined in terms of the
expected cost and risk of collapse and is calculated by using different methods to calculate the possibility of the collapse of the latest member or the use
of the approximate method. For the possibilities imposed at the beginning
of the age of the structure, the probability of collapse at the age of 0 and the
structure lifetime is assumed to be 60 years. The possibility of collapse is
100% at this age, and calculating the probability of collapse is shown at every
period in Table 11.1.
A number of special software for the management of bridge systems
(BMS), as identified by Abd El-Kader et al. (1998), defines the time required to
Time, ∆t
Total cost ($)
FIGURE 11.7
Optimization curve to obtain optimum maintenance period.444 Construction Management and Design of Industrial Concrete and Steel Structures
conduct inspection and maintenance for each bridge. These programs take
into account the rate of deterioration in bridges with the lifetime of the structure. One such program includes a previous section that has been studied,
a limitation on the time required for periodic inspection and maintenance
work, and how to determine the cost, which depends on the budget planning for the repair of bridges. The program was developed by the Federal
Highway America.
The maintenance plan and its implementation depend on the criticality
and the importunacy of the building. To proceed with maintenance, one
should consider the sequences of failure. For example, there is a difference
between concrete columns and concrete slabs. The cost of repairing these
two members may be similar, or in some situations the repair of the concrete slab on the grade will cost more than repairing the columns. Which
should be repaired first? It is obvious that repair will start on the concrete
columns because failure will consequently cause bad consequences from an
economic point of view. Therefore, as noted earlier, the previous equation is
a general equation, so all factors affecting decision-making must be taken
into consideration.
In general, conducting maintenance on a regular basis within a defined
period is called preventive maintenance. It is important because it extends
the structure’s lifetime and maintains real estate that represents economic
wealth for a country—especially in developing countries, in which all the
materials used in the construction industry are imported. Moreover, some
countries have huge investments in their coastal cities, which are highly vulnerable to the process of corrosion due to chloride effects.
On the other hand, the amount of carbon dioxide in the atmosphere in
urban areas is increasing due to the large numbers of vehicles moving daily;
this increases the corrosion of reinforcing steel. In addition, there are other
problems such as sanitation and drainage systems in houses, considered one
of the key factors in corrosion of steel reinforcement of bathroom slabs. This
exposes the weakness of the structure and is a serious issue for the whole
building. Therefore, regular maintenance and development of an integrated
plan for the maintenance of each structure are very important in order to
preserve the life of the structure and consequently, the national wealth of
the country.
TABLE 11.1
Relation between Structure Lifetime and Probability of Failure
Life (years) 0 10 20 30 40 50 60
Probability of failure 0% 9% 25% 50% 75% 91% 100%Economic Study for Maintenance Plan 445
11.5 Maintenance Plan
In any organization, the maintenance team is responsible for maintaining
the structural reliability of the buildings. The responsibility of this team is
clearly in the ministry of transportation that is responsible for the maintenance of bridges. For instance, in the United States, the famous Golden Gate
bridge is maintained by a team that regularly starts to repaint the first section of the bridge as soon as it has finished painting the last section.
When we discussed the time spent performing maintenance earlier, we
took into account the probability of structural failure. From a practical viewpoint, it is complicated to calculate this accurately as it is needed for research
rather than for practical reasons. The calculation of the probability of failure
and its consequences to obtain the structural risk is called the qualitative risk
assessment. Another popular method is the quantitative risk assessment, which
is easy and can be handled through the maintenance team without the need
for outside resources. The quantitative RBI will be the main tool used to
maintain structural integrity.
11.5.1 Assessment Process
The assessment of the concrete structure depends on its structure type, location, and existing load and operation requirements. For studying the risk
assessment, the different critical items that have an economic effect must be
considered. The general definition of risk is summarized in the following
equation:
Risk = probability of failure × consequences
To define the risk assessment of any concrete structure, the factors that may
affect the business’s economics are worth considering. The structural risk
assessment is represented by the probability of failure and its consequences;
failure may involve the whole building, a part of it, or a concrete member
only.
The first step in defining and calculating the quantitative risk assessment is
to hold a meeting with the maintenance team, and perhaps with a consulting
engineering company when numerous structures are involved. Within this
meeting, which could take several hours, different discussions define the
factors that affect the probability of structural failure, such as corrosion on
steel reinforcement bars, overload compared to the design, new data revealing lower concrete strength than what the design and project specifications
called for, and the redundancy of the structure itself.
The required data about the corrosion of steel bars, concrete compressive
strength, and other factors have been discussed before and can be obtained446 Construction Management and Design of Industrial Concrete and Steel Structures
by collecting the data and performing visual inspection, and performing
detailed inspection using measurement equipment such as ultrasonic pulse
velocity technique, rebound hammer, or other available techniques. The factor that has the largest influence on estimating the probability of structural
failure is the structure’s redundancy, which can be explained by Figures 11.8
and 11.9.
A beam needs to be designed and the following two solutions are offered:
(1) a structural system to be fixed at two ends or (2) a structural system hinged
at two ends. Which system should be chosen? Take 5 minutes to think about
this.
Many factors influence your decision in selecting a suitable system. The following list gives the advantages and disadvantages for these two systems.
(1) Structural system 1
•	 The beam cross section will be smaller.
•	 The connections will be big and complicated as they have a
shearing force and moment.
•	 It is reasonable from an architectural point of view.
•	 The construction is complicated in connection.
(2) Structural system 2
•	 The beam cross section will be large.
•	 The connection will be small as it is designed for shear force only.
•	 It is easy to construct because the connection is simple.
After discussing these two systems, perhaps the decision will rest on inhouse engineers and workers to do the construction. To avoid any problems,
the simple beam option will be selected. This type of thinking is always
Structural system 1 Structural system 2
FIGURE 11.8
Comparison between structural redundancies.
Structural system 1 Structural system 2
1 3 2 1
FIGURE 11.9
Comparison between structural redundancies.Economic Study for Maintenance Plan 447
happening as the maintenance point of view is often forgotten. The steps of
collapse failure are shown in Figure 11.9.
Structural system 2, which is the simple beam, assumes that the load is
gradually increased and the beam can accommodate the load until a plastic
hinge is formed in the middle of the beam at the point of maximum bending moment; then, collapse will occur. On the other hand, for structural system 1, which is fixed at two ends, when the load is increased gradually, the
weaker of the left or right connection will fail first. As shown in the figure,
the plastic hinge will form on the left connection and increase the load; the
other connection will be a plastic hinge, so it is now working as simple beam.
By increasing the load, plastic hinge 3 will be formulated and then collapse
will occur.
From the preceding discussion, one can find that structural system 1 will
take more time to collapse because it failed after three stages. Structural system 2 failed on the first stage, so system 1 is more redundant than system 2.
Moreover, when a comparison is made between different reinforced concrete
members, such as slabs, beams, columns, and cantilevers, one can observe
that some members are more critical than others. A cantilever is the most
critical because any defect in it will have a high deflection and then failure.
In addition, when a column fails, the load distributed to other columns until
the whole building fails. Thus, the column has low redundancy and is very
critical as any because failure on it will result in the whole building failing. However, cantilever failure will be a member failure only, so we can go
through the consequences from this approach.
In the case of beams and slabs, when a slab is designed, a simple beam
is assumed and the maximum moment is calculated in the middle. Next,
the concrete slab is designed by choosing the slab thickness and the steel
reinforcement. The selected steel reinforcement will be distributed along
the whole span. Theoretically, by increasing the load, the failure will be at a
point, but actually the surrounding area will carry part of this load, so the
redundancy of the slab is very high. Some studies have noted that the reinforced concrete slab can accommodate loads that are twice the design load.
For the steel structure as a whole, it is easy now to perform pushover analysis to obtain the redundancy of the structure. This analysis is nonlinear
and is now available for any structure analysis software in the market. From
this analysis, one can obtain how much more load the structure can carry in
excess of the design load until failure. In addition, one can know the location
of the first plastic hinge to formulate and, from this, one can know the critical
member in the structure.
Therefore, it is necessary to put a maintenance plan in place for a concrete
structure. The first step is to discuss all the structural parts that need to be
inspected and repaired and arrange this information in a table. The team
will supply all the factors affecting the probability of structural failure into
this table. Different factors will be assigned different values. For example, in
the case of a redundancy factor, values will range from 1 to 10, and a column448 Construction Management and Design of Industrial Concrete and Steel Structures
will have a value of 10 and a slab will bear a value of 2. All team members
must agree on these numbers, based on their experience. The same values
or higher values will be used for other factors: age, the engineering office
that produced the design, the contractor who handled the construction, and
the code used in the design. As discussed earlier, in some countries, those
in charge of construction used seawater in mixing water, and some codes in
the past have allowed the use of 6-mm-diameter steel in stirrups. Therefore,
if corrosion does occur, these stirrups could not be seen because complete
corrosion would have taken place.
Table 11.2 shows the probability of structural failure factors. (If you decide
to use this table, make sure that it matches your structural requirements.)
Note that the table is not limited to these factors only.
Table 11.2 is a simple example of calculating the quantity of the probability of failure. However, when a meeting is held, it is necessary to draw up
a set of criteria about the number. For example, consider the engineering
office that produced the design. If it is professional and well known in the
market, and one has had no problems in dealing with this firm, then lower
values should be assigned. For an incompetent firm with which one has had
problems involving the same type of structure, higher values are given. This
procedure will also apply to the contractor.
The code values are based from the experience of the team considering
problems not only for its own buildings, but also for other buildings all over
the country. Therefore, for complex structures or huge facilities, it is worth
contacting a competent engineering office for an optimum maintenance
plan.
If no inspection has been conducted, the building is a “black box” and
should be given the highest value. The things that one knows are bad are
less critical than the things one knows nothing about. Thus, it is necessary
to go through the consequences using the same approach, considering the
economic impact. Economic impact is the answer to the question of what the
effect will be from an economic viewpoint if the whole structure or part of
it fails.
TABLE 11.2
Factors Effects on Structure Probability of Failure
Structure
Redundancy
1–10
Age
1–10
Designer
1–10
Contractor
1–10
Code
1–10
Last
Inspection
1–10
Total
Score
S1 8 10 6 6 9 10 49
S2 5 2 7 3 3 10 30
S3 3 5 8 10 5 2 33
S4 7 4 2 5 5 1 24
S5 1 3 4 2 5 10 25
S6 3 1 4 5 6 7 26Economic Study for Maintenance Plan 449
There are many hazard factors that will guide structure risk assessment.
The first factor is the location itself, as well as its expenses and if it carries a
processing facility for industry that must be taken into consideration because
failure may cause hazards or stop production. For example, consider the
foundation under machines; any failure in it will influence the performance
of the machine and will be the main cause of the processing plant’s shutting
down and stopping production.
The weight of the consequences will be calculated by the same procedure
used to calculate the probability of failure (Table 11.3).
Now that we have the weight of the probability of failure and the consequences, we can calculate the quantity risk assessment using Table 11.4.
11.5.2 RBI Maintenance Plan
After we calculate the quantity risk assessment as shown in Table 11.4, we
can classify the maintenance plan. The top third of the top risk structures
will be red, the second third will be yellow, and the remaining third will be
green; the priority list is shown in Table 11.5.
From Table 11.5, the structures S1 and S3 are considered the critical structures upon which inspection would start. Structures S2 and S6, being the
TABLE 11.3
Consequences Weight
Structure
Impact on
Person
1–10
Impact on
Cost
1–10
Impact on
Environment
1–10
Impact on
Repetition
1–10 Total Score
S1 8 10 6 6 30
S2 5 2 7 3 17
S3 3 5 8 10 26
S4 7 4 2 5 18
S5 1 3 4 2 10
S6 4 5 3 5 17
TABLE 11.4
Risk Weight Lists for All Structures
Structure
Probability of
Failure Consequences Risk
S1 49 30 1470
S2 30 17 510
S3 33 26 858
S4 24 18 432
S5 25 10 250
S6 26 17 442450 Construction Management and Design of Industrial Concrete and Steel Structures
second priority, will be inspected next, and the last structures, S4 and S5,
will be at less risk so inspection is not needed at this time.
As shown in the table, this simplified method can be used to plan your
maintenance for inspection and repair, taking into account that the budget is
a very important factor in the maintenance plan. From the previous example,
the budget may be enough this year to inspect structure S1 only, so you will
have to plan for the following years—perhaps for the next 5 years. After the
inspection has been performed, the data will be analyzed through the system shown in Figure 11.10.
Nowadays, for international organizations with a number of different
buildings and structural elements, the integrity management system is very
important to maintaining structures during their lifetimes and accumulating all historical data.
TABLE 11.5
Structures Priority List
Structure Priority Color Code Risk Values
S1 Red 1470
S3 Red 858
S2 Yellow 510
S6 Yellow 442
S4 Green 432
S5 Green 250
Risk assessment
model
Inspection program
Need
Repair
Repairing program
No Reassessment
Yes
FIGURE 11.10
Flowchart for risk assessment system.Economic Study for Maintenance Plan 451
The closed loop of a structure risk assessment, an inspection program,
a repair program, and reassessment is very important to maintaining the
structure in a good condition and as a reliable match with operational
requirements.
The total quality control management system is very important when
reviewing design, construction, and maintenance to be matched with operational requirements in cases of proposed developments or adding extensions
to existing structures or increasing the loads. Therefore, it must be considered by a system of change management procedures to upgrade the previous
risk ranking table.
11.5.3 RBI Plan for Offshore Structures
Offshore structures are a special type of structures that use the same methodology as discussed in the previous sections, but the factors affecting the
probability of structural failure are different.
The concept of ranking the platforms for topside and underwater inspection using a risk-based process is based on a similar approach developed
by the American Petroleum Institute (API, 1996) for refineries and chemical
plants. For refineries, the issue is the rationalization of inspection to determine the long-term degradation or damage of equipment, piping, and other
elements of the facility’s operations.
For offshore platforms, the issue addressed through RBI is the rationalization of inspections to determine the strength degradation/damage (if any) of
the underwater portion and topside of the platform.
The RBI likelihood of failure corresponds to the probability that the platform will fail at some point in time through environmental overload. RBI,
however, does not explicitly establish or use a quantitative probability of failure. Failure, in RBI, is defined as a collapse of the platform as a result of deterioration, extreme loading (storm or earthquake), or a combination of both.
Determination of the likelihood of failure requires information on a platform’s structural configuration to determine its susceptibility to failure. For
example, the fact that a platform has three, four, or eight legs, as well as its
current state, based on inspection, may influence the extent of damage to its
member(s).
As an example, a 1960s-era facility with an eight-leg, K-braced platform has
a higher likelihood of failure than a 1980s-era eight-leg, X-braced platform.
The newer platform is designed based on better standards, such as joint cans,
and has an inherently more redundant structural configuration since it has
eight legs and is X-braced.
However, if it is indicated that the newer platform has a track record of
damage due to corrosion or fatigue cracking, then this may move the platform
up the priority list, to a point where it is higher ranked in terms of risk compared to the older platform. The contribution of appurtenances such as risers
and conductors to the likelihood of failure is also considered. Appurtenance452 Construction Management and Design of Industrial Concrete and Steel Structures
failures may not necessarily lead to collapse of the platform, but may cause a
higher impact in terms of environmental pollution and financial loss.
The consequence of failure corresponds to the safety, environmental,
and financial issues that would arise should the platform fail at a future
date. These are the standard consequential issues typically addressed in
risk assessments for any type of facility, either onshore or offshore. As an
example, a manned drilling and production platform would have a higher
consequence of failure than an unmanned wellhead platform. Each of these
consequences are converted into an economic value and then summed to
result in the overall consequence.
11.5.3.1 Risk Matrix
Risk is a combined measure of both likelihood and consequence. By combining likelihood and consequence into a single quantity, it is possible to
make rough comparisons of the effects of frequent inexpensive failures and
infrequent catastrophic failures on the same scale. In a pure quantitative risk
system, the likelihood is equivalent to the probability of failure and the consequence is equivalent to the dollar loss due to a failure.
Their product is the expected annual failure loss. The likelihood and
consequence scores determined by RBI represent relative trends based on
a comparison of a platform’s operation, design, operation, and experience
with other platforms. The categorization system results cannot be directly
converted into a probability or a cost, making such a quantitative calculation
impossible. Instead, the risk is expressed as a category that is based on the
likelihood and consequence categorization results. These categories are usually summarized in the form of a risk matrix.
Figure 11.11 shows the risk matrix proposed by the API for the RBI assessment of refinery and petrochemical plants. In this figure, R refers to red, Y
A B C D E
5 4 3 2 1
Likelihood
Consequence
R R R
R
Y Y
Y Y
Y Y
Y Y
G G
G G G
G G
W W
W W
W W
FIGURE 11.11
Risk matrix.Economic Study for Maintenance Plan 453
to yellow, G to green, and W to white; these colors indicate the degree of
total risk. This same 5 × 5 matrix has been adopted for the RBI system, and
although categorizing refinery equipment using this matrix differs from categorizing platform structures, the philosophy of the ranking is the same.
Other risk matrices have been used for offshore risk assessment. Many of
these systems are based on 2 × 2 or 3 × 3 classification schemes. The 5 × 5
system shown was recommended by DeFranco et al. (1999) because it offers
enough range in likelihood and consequence that it can distinguish the differences between platforms.
The combination of likelihood and consequence into the risk matrix results
in four levels of risk ranging from insignificant to high as shown in Figure 11.11. The resulting risk value is used to rank the platforms in the fleet,
with the platforms with the highest risk ranked at the top of the list and
receiving priority for inspection.
11.5.3.2 Development of Likelihood
Likelihood is determined using a rule-based system that determines the likelihood score based on key platform information. In very simplified terms,
the likelihood of structural failure is a function of two primary factors: the
platform strength and the extreme load. The likelihood categorization system identifies the platform characteristics affecting the platform strength
and loads, such as the year designed, the number of legs, the bracing system,
and other factors, as shown in Table 11.6.
Factors indicating that the strength of the platform has deteriorated or is
not up to current standards increase the likelihood. Factors indicating that
extreme platform loads may increase in frequency or severity also increase
the likelihood.
The RBI likelihood rules are based on the assumption that platforms
designed according to modern structural detailing practice to resist presentday design environmental loads have the lowest likelihood of failure. The
factors affecting the original strength, the maximum design loads, and the
degradation of strength are used to measure any individual platform’s failure likelihood against the ideal platform.
Table 11.6 lists most of the factors that were identified as key indicators of
the likelihood of failure; these factors should be defined well by the team
members with the appropriate expertise.
There are two types of data on the list. The first type is associated with
the platform’s original design configuration, such as the year designed, the
number of legs, and the bracing scheme. This information is used in a set of
rules to determine the baseline likelihood of failure, that is, this establishes
the lowest possible likelihood of failure score for the platform.
The second type is previous inspection data such as the number of flooded
members, excessive marine growth, scour, and others.454 Construction Management and Design of Industrial Concrete and Steel Structures
There are no readily available simple rules that can be used in combination
with this information to determine the likelihood of platform failure. In a
fully quantitative risk analysis, a specific platform collapse pushover analysis for the platform as-designed and damage states or other types of complex
study could be used to determine specific failure likelihood, but this work is
time-consuming and may be cost-prohibitive to implement for a large fleet of
platforms. Therefore, for RBI, a set of qualitative rules should be developed
based on experts’ recommendations and input from the study participants
as well as results from past studies of their platforms.
It is important to note that these populations represent all three generations, a range of extent of inspection, and a large range of production rates,
and hence provide a comprehensive testing and calibration data set. The
combination of expert input plus calibration with actual platform performance was felt to provide an adequate level of accuracy for an approach
such as this.
The equation for determining a risk ranking score Stotal is
S Wi i S
i
Total = ∑ (11.12)
TABLE 11.6
Factors Affecting Offshore Platform Probability
of Failure
Rule Weight
Design practice 5
Number of legs and bracing configuration 10
Foundations 10
Risers and conductors 5
Boat landing 5
Grouted piles 3
Damaged, missing, and removed members 20
Splash zone corrosion and damage 10
Flooded members 6
Cathodic protection (CP) surveys and
anode depletion
6
Inspection history 5
Design loading 5
Marine growth 6
Scour 5
Topside weight change 10
Additional risers, caissons, and conductors 5
Wave-in-deck 20Economic Study for Maintenance Plan 455
where Wi is the ith individual weighting factor and Si is the ith individual
rule score. The general weights (W) for determining likelihood are shown
in Table 11.1 (El-Reedy, 2006), whereas an example score (S) for the number
of legs and bracing type are given in Table 11.6. As an example, the partial
total score for a six-leg, K-braced platform, Bracing and Legs (i.e., the bracing
configuration and number of legs interaction), would be 60 (Wi = 10, Si = 6).
Accordingly, the higher the score, the higher the relative risk. Should the risk
be inspectable, then the higher-risk platforms may need a higher level or
amount of inspection. The individual scores are then added to determine a
total likelihood for a platform.
Table 11.7 shows an example score pertaining to the number of legs and
bracing scheme. This score also shows that there may be interactions between
the various parameters that must be accounted for in developing each rule
(in this case, the number of legs and the bracing scheme) (Table 11.8). As
another example, the effect of finding flooded members is dependent on the
bracing scheme for the platform—an X-braced platform may be more tolerant to having flooded members than a K-braced platform because of the
additional load paths in an X-braced structure. Finally, each rule is modified
to account for the overall effect on the platform likelihood of failure.
This is as expected because, overall, an unmodified older platform typically has a higher probability of failure than a newer platform because of
changes in the design procedure and hydrodynamic loading. However, in
some cases, the effect of inspection is outweighed by the original design criteria. To make inspections more relevant, inspection-related data, such as the
number of flooded members and damaged members, were assigned a higher
weight on their scores so that these values are more relevant. This reweighting causes a damaged platform to move toward the top of the list quickly,
depending on the amount of damage and its effect on structural integrity.
11.5.3.3 Development of Consequence
The consequence category is based on a simple analysis of the business,
safety, and environmental losses, as measured in terms of an abstract dollar.
A financial measure of loss for all types of failure consequences allows the
combination of the three loss types into a single total loss. This total loss is
then used to define a consequence category.
A default set of consequence rules was developed based on the work of
Stahl (1986). When specific estimates of consequence based on detailed analysis or expert opinion are available, then the more accurate estimates may be
used instead of the default values.
Although each type of consequence is measured in a common unit, abstract
dollars, different factors determine the value of each type of loss. When possible, these consequence calculations are quantitative and are related to the
actual economic values such as the price of oil and gas, the cost of offshore
construction, and typical parameters associated with an operator’s fleet. For456 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 11.7
Example Score for Determining Likelihood of Failure
Rule Input/Purpose Weight Score
Design practice Design year—accounts for how detailing practice
has varied over the years.
5 0–50
Number of legs and
bracing
configuration
Number of legs, bracing system—accounts for
how redundancy varies for basic structural
bracing systems.
10 1–100
Foundations To account for the effect that the pile system has
on the likelihood of failure. Uncertainty results
from lack of records and potential damage to
the piles.
10 0–120
Risers and conductors Current number of risers and conductors—
accounts for the increased failure likelihood
associated with the rupture or leak of a
hydrocarbon carrying riser or conductor
escalating to a platform failure.
5 0–78
Boat landing Boat landings attract hydrodynamic loading
increasing the fatigue loading. A failed boat
landing may also damage the jacket.
5 0–50
Grouted piles Location, whether piles are grouted—accounts
for the strengthening of joints due to grouting
the annulus between the pile and the leg.
3 0–30
Damaged, missing,
and removed
members
Number of damaged members, bracing legs
score (BL)—penalizes platforms that have
observed damaged members. The weight is
multiplied by the bracing leg score to account
for the damage tolerance of different structural
systems.
20 0–200
Splash zone corrosion
and damage
To account for the effect of corroded and
damaged splash zone members on the
likelihood of failure.
10 0–100
Flooded members Number of flooded members, legs bracing
system score—penalizes platforms where
inspections have detected flooded members.
6 0–60
CP surveys and
anode depletion
To identify the status of the CP system as an
ineffective system will result in corrosion,
increasing the likelihood of failure.
6 0–60
Inspection history The years of the last level II, III, and IV
inspections penalizes platforms that have not
been inspected recently. This penalty is more
severe for less detailed inspections.
5 0–50
Design loading To account for the effect that design loading
exerts on the likelihood of failure. This differs
from the design practice rule, which accounts
for design details of the structure such as joints
and framing schemes.
5 0–50
(continued)Economic Study for Maintenance Plan 457
other consequences, the values are subjective and may not be actual economic values.
Similar to likelihood, the “scores” for the consequence rules, measured in
terms of abstract dollars, are combined to determine the total consequence
score for the platform. The platform is then assigned one of the five consequence categories as shown in Figure 11.11.
11.5.3.4 Inspection Planning for Offshore Structure
The effect of inspection and inspection results can be investigated in several
different ways. Inspection affects only the likelihood of failure. Likelihood
TABLE 11.7 Continued
Example Score for Determining Likelihood of Failure
Rule Input/Purpose Weight Score
Marine growth Measure marine growth, design marine
growth—penalizes platforms where the
observed marine growth has exceeded that used
for design.
6 0–60
Scour Measured scour, observed scour—penalizes
platforms where the observed amount of scour
exceeds the amount of scour assumed for the
design.
5 0–50
Topside weight
change
To account for the likelihood of failure of the
platform due to changes in deck weight
attributable to deck extensions, additional
equipment, or change of use.
10 0–100
Additional risers,
caissons, and
conductors
To account for the effect that additional risers,
caissons, and conductors, over and above those
that the structure was originally designed for,
have on the likelihood of failure of the platform.
5 0–50
Wave-in-deck To account for the likelihood of failure of the
platform due to storm wave crests impinging on
and inundating the platform’s lowest deck.
20 0–200
TABLE 11.8
Example Rule for the Number of Legs and Bracing System
Bracing System
Number of Legs
3 4 6 8
K & Diamond 10 8 6 5
Diagonal 7 6 4 3
X 5 4 2 1
Unknown 9 7 5 4458 Construction Management and Design of Industrial Concrete and Steel Structures
rules associated with inspection, such as time to last inspection, level of
inspection, the number of flooded and damaged members, and other anomalies, can be changed to model a trial inspection plan by entering future
inspections and the expected amount of future deterioration.
RBI is then run to assess the fleet at different future dates. These inputs
can be changed to reflect various future inspection plans and the results can
be compared by assessing the risk at various future dates, with the intent of
selecting an inspection program that provides the lowest risk.
After this has been performed, the risk matrix for the fleet can define the
priorities of the platform—red for high risk and white for very low risk.
Moreover, those components marked by red can be further prioritized on
the basis of their risk weight value (as described in the onshore maintenance
plan). The result is optimization of inspection costs to be delivered at the
lowest risk.
This procedure can be used to adjust long-term future inspection plans
(for 5 and 10 years) to account for the deterioration that is expected to occur
based on past experience.
References
Abd El-kader, O., and A. Al-Kulaib. 1998. Kuwait Bridge Management System, Eighth
International Colloquium on Structural and Geotechnical Engineering, 1998.
Broomfield, J. P. 1997. Corrosion of Steel in Concrete. London: E&FN SPON.
El-Reedy, M. A., and M. A. Ahmed. 1998. Reliability-Based Tubular Joint of Offshore
Structure Based Inspection Strategy, Offshore Mediterranean Conference, OMC.
Khalil, A. B., M. M. Ahmed, and M. A. El-Reedy. 2000. Reliability analysis of reinforced concrete column. Ph.D. thesis, Faculty of Engineering, Cairo University.
Kamal, S., O. Salama, and S. Elabiary. 1992. Deteriorated Concrete Structure and Methods
of Repair. Egypt: University Publishing House.
Morinaga, S. 1988. Prediction of Service Lives of Reinforced Concrete Buildings
Based on Rate of Corrosion of Reinforcing Steel. Special report of Institute of
Technology, Shimizu Corporation, No. 23, June 1988, Tokyo, Japan.
Raupach, M. 1996. Corrosion of steel in the area of cracks in concrete—laboratory tests
and calculations using a transmission line model. In Corrosion of Reinforcement in
Concrete Construction, Special Publication No. 183, eds. C. L. Page, P. B. Bamforth,
and J. W. Figg. Cambridge, UK: The Royal Society of Chemistry.
Tuutti, K. 1982. Corrosion of Steel in Concrete. Stockholm: Swedish Cement and Concrete
Research Institute.
API. 1996. Base Resource Document—Risk-Based Inspection—Preliminary Draft. API
581, June 1996.
Stahl, B. 1986. Reliability engineering and risk analysis (Chapter 5). In Planning and
Designing of Fixed Offshore Platforms, ed. by B. McClelland and M. D. Reifel. New
York, NY: Van-Nostrand Reinhold Company.Economic Study for Maintenance Plan 459
DeFranco, S., P. O'Connor, A. Tallin, R. Roy, and F. Puskar. 1999. Development of a
Risk Based Underwater Inspection (RBUI) Process for Prioritizing Inspections
of Large Numbers of Platforms, OTC, 10846.
El-Reedy, M. A. 2006. Risk based inspection for prioritizing repair and inspections for
large numbers of platforms in Gulf of Suez, OMAE, 92109.461
12
Overview of Fixed Offshore Structures
12.1 Introduction
Over the past 20 years, two major types of fixed platforms have been developed: the steel template type, which was pioneered in the Gulf of Mexico
(GoM), and the concrete gravity type, which was first developed in the North
Sea. A third type—the tension leg platform (TLP)—is currently in progress
in response to the need for drilling wells in deep water and developments in
gas projects in deep water.
As early as 1909 or 1910, wells have been drilled in Louisiana, where
wooden derricks were erected on hastily built wooden platforms constructed
on top of wood piles. In 1976, Exxon installed a platform in the Santa Barbara
Channel at a water depth of 850 ft (259 m).
There are three basic requirements in the design of fixed offshore
platforms:
1. They must withstand all loads expected during fabrication, transportation, and installation.
2. They must withstand loads resulting from severe storms and
earthquakes.
3. They must function safely as a combined drilling, production, and
housing facility.
Around 1950, while developments were taking place in the GoM and the
Santa Barbara Channel, British Petroleum was engaged in similar explorations at the coast of Abu Dhabi in the Persian Gulf. Water depth was less than
100 ft (30 m) and the operation grew steadily over the years. In the 1960s,
a series of hurricanes in the GoM caused serious damage to the platform,
which prompted a critical reevaluation of the platform design criteria:
•	 Hurricane Hilda, classified as a 100-year storm, struck in 1964, bringing wave heights of 13 m and wind gusts of up to 89 m/s; as a result,
13 platforms had been destroyed.462 Construction Management and Design of Industrial Concrete and Steel Structures
•	 The next year, another 100-year storm event, Hurricane Betsy,
destroyed 3 platforms and brought other forms of damage.
•	 As a result, designers abandoned the 25- and 50-year conditions and
began designing for a storm recurrence interval of 100 years.
12.2 Types of Offshore Platforms
The function of these platforms is to produce or process oil and gas from
offshore sources. The most traditional one is the fixed offshore fixed platform. As more investments were poured into deepwater operations, other
platform types were also introduced: TLP and floating production, storage,
and offloading (FPSO).
12.2.1 Fixed Offshore Platforms
There are different types of fixed offshore structure platforms worldwide
and these are classified as follows:
•	 Drilling or well protector platforms
•	 Tender platforms
•	 Self-contained platforms (template and tower)
•	 Production platforms
•	 Flare jacket and flare tower
•	 Auxiliary platforms
Each type has its own set of characteristics from a functionality point of view
and will be discussed in detail below.
12.2.1.1 Drilling or Well Protector Platforms
This drilling platforms are used to drill the oil and gas wells from it, so the
drilling rigs will approach usually to these platforms to drill new wells or perform the work over along these platforms life time. The platforms that are built
to protect the risers of the producing wells in shallow water are called well
protectors or well jackets. Usually, a well jacket serves from one to four wells.
12.2.1.2 Tender Platforms
The tender platform is no longer as common as it was 20 years ago. This
platform functions similar to the drilling platform, except that the drillingOverview of Fixed Offshore Structures 463
equipment is resting on the platform topside to perform the job; in this case,
however, it is customary to use the jack-up rig. In this type of platform, the
derrick and substructure, drilling mud, primary power supply, and mud
pumps are placed on the platform.
As noted earlier, this type of platform is no longer popular, so it is unlikely
that you will see it in new designs or new projects. However, information
about this platform type is still useful in case you will be called upon to perform an assessment of the drilling platform.
12.2.1.3 Self-Contained Platforms
The self-contained platform is a large facility, usually with multiple decks,
with adequate strength and space to support the entire drilling rig along
with its auxiliary equipment, crew quarters, and enough supplies and materials to last through the longest anticipated period of bad weather when supplies cannot be brought in. There are two types: the template type and the
tower type.
12.2.1.4 Production Platform
Production platforms support control rooms, compressors, storage tanks,
treating equipment, and other facilities.
12.2.1.5 Quarters Platform
The living accommodations platform for offshore workmen is commonly
called a quarters platform.
12.2.1.6 Flare Jacket and Flare Tower
A flare jacket is a tubular steel truss structure that extends from the mud line
to approximately 10–13 ft above the mean water line (MWL). It is secured to
the bottom by driving tubular piles through its three legs.
12.2.1.7 Auxiliary Platform
Sometimes small platforms are built adjacent to larger platforms to increase
available space or to permit the carrying of heavier equipment loads on the
principal platforms.
Such auxiliary platforms have been used for pumping or compressor stations, oil storage, quarters platforms, or production platforms. Sometimes
they are free-standing, and at other times they are connected by bridges to
the other structures.464 Construction Management and Design of Industrial Concrete and Steel Structures
12.2.1.8 Catwalk
A catwalk is a bridge 100–160 ft (30–49 m) in length that connects two neighboring offshore structures. The catwalk supports pipelines, pedestrian
movement or handling of materials, and labor moving from one platform to
another.
12.2.1.9 Heliport
The heliport is a landing area for helicopters so it must be large enough to
handle loading and unloading operations. A square heliport must have a
side length that is 1.5 to 2.0 times the largest helicopter length. The heliport
landing surface should be designed for a concentrated load of 75% of the
gross weight and the impact load is 2 times the gross weight of the largest
helicopter. This load must be sustained over an area of 600 × 600 mm (24 ×
24 in.) anywhere in the heliport surface.
Figures 12.1–12.3 show the different types of platforms. Figure 12.1 shows a
sample of a production platform connected with a satellite platform.
12.2.2 Concrete Gravity Platforms
In 1973, the first concrete offshore oil platform was installed. This concrete gravity platform was constructed by CG Doris Company for Phillips
Petroleum Co. (Figure 12.4). The Ekofisk storage tank remains one of the
largest offshore gravity structures ever built. This platform is accompanied
by a subsea tank that can store 160,000 m3 of oil. By the end of 1979, there
were 14 concrete platforms installed in the North Sea alone.
FIGURE 12.1
Production platform with bridges.Overview of Fixed Offshore Structures 465
Concrete gravity structures rest on the seabed by virtue of their own
weight. Their advantages include: (1) no piles are required to be used and
(2) use of traditional civil engineering labor and methods.
12.2.3 Floating Production, Storage, and Offloading
The first oil FPSO was designed for Shell Castellon and built in Spain in
1977. The first-ever conversion of a liquified natural gas (LNG) carrier (Golar
LNG–owned Moss-type LNG carrier) into an LNG floating storage and
regasification unit was carried out in 2007 by Keppel Shipyard in Singapore
(Graff, 1981).
In the past few years, concepts for LNG FPSOs have also been launched.
An LNG FPSO works under the same principles as an oil FPSO, but it only
(a)
(b)
FIGURE 12.2
(a, b) Complex platform.466 Construction Management and Design of Industrial Concrete and Steel Structures
FIGURE 12.3
Tripod platform.
FIGURE 12.4
Concrete gravity platform.Overview of Fixed Offshore Structures 467
produces natural gas, condensate, and/or liquefied petroleum gas, which is
stored and offloaded.
FPSO vessels are particularly effective in remote or deepwater locations,
where seabed pipelines are not cost-effective (Figure 12.5). FPSOs eliminate the need to lay expensive long-distance pipelines from the oil well to
an onshore terminal. They can also be used economically in smaller oil
fields, which can be exhausted in a few years and do not justify the expense
of installing a fixed oil platform. Once the field is depleted, the FPSO can
be moved to a new location. In areas of the world subject to cyclones (NW
Australia) or icebergs (Canada), some FPSOs are able to release their mooring/riser turret and steam away to safety in an emergency. The turret sinks
beneath the waves and can be reconnected later.
The deepest water depth, operating FPSO is the Espirito Santo FPSO from
Shell America and it is operated by SBM Offshore. The FPSO is moored in a
water depth of 1800 m in Campos Basin, Brazil, and is rated for 100,000 bpd.
The EPCI contract was awarded in November 2006 and was scheduled to
draw its first oil in December 2008. The FPSO conversions and internal turrets were done at Keppel Shipyard Tuas in Singapore and the topsides were
fabricated in modules at Dynamac and BTE in Singapore.
12.2.4 Tension Leg Platforms
A TLP or extended tension leg platform (ETLP) is a vertically moored floating structure normally used for offshore production of oil or gas, and is particularly suited for water depths greater than 300 m (about 1000 ft). The TLP
is shown in Figure 12.6.
The first TLP was built for Conoco’s Hutton field in the North Sea in the early
1980s. The hull was built in the drydock of Highland Fabricator’s Nigg yard in
the north of Scotland, with the deck section built nearby at McDermott’s yard
at Ardersier. The two parts were mated in the Moray Firth in 1984.
FIGURE 12.5
Floating production, storage, and offloading.468 Construction Management and Design of Industrial Concrete and Steel Structures
The deepest (E)TLPs measured from the sea floor to the surface are:
•	 4674 ft (1425 m) Magnolia ETLP, whose total height is about 5000 ft
(1500 m)
•	 4300 ft (1311 m) Marco Polo TLP
•	 4250 ft (1295 m) Neptune TLP
•	 3863 ft (1177 m) Kizomba B TLP
•	 3863 ft (1177 m) Kizomba A TLP
•	 3800 ft (1158 m) Ursa TLP, whose height above the surface is 485 ft
(148 m), making a total height of 4285 ft (1306 m)
•	 3500 ft (1021 m) Allegheny TLP
•	 3300 ft (1006 m) W. Seno A TLP
12.3 Major Steps in Constructing an Offshore Structure
In terms of design and construction, similar steps and procedures are followed for all types of platforms. In this section, we shall discuss the main
FIGURE 12.6
Tension leg platform.Overview of Fixed Offshore Structures 469
steps in constructing a new platform. These phases represent the life cycle of
the process, and every phase has its own criteria and requirements in terms
of special skills.
In general, there should be good communication between the engineering
office, which is responsible for the project design, and the contractor, who
will fabricate, erect, and construct the platform.
1. Preliminary phase front end egineering design (FEED)
•	 Recognition of need and setting of operational criteria
•	 Determination of environmental criteria
•	 Feasibility studies and cost estimates
•	 Financing arrangements and determining the budget
2. Design phase
•	 Preliminary study and special investigations
•	 Soils
•	 Size selection for derrick and transportation barges
•	 Condition relative to corrosion, ice, earthquakes, product transportation, and crew transportation
•	 Design and engineering drawings
− Foundation design
− Structural design
− Preparation of drawings
•	 Document preparation
− Specifications
− Contracts
− Bid reply sheet
− Rental contracts for barges
− Rental contract for boats
3. Bidding phase
•	 Select bidders
•	 Sending and receiving of bids
•	 Evaluation of bids
•	 Awarding of contracts
4. Construction phase
•	 Fabrication onshore
•	 Ordering and receiving materials
•	 Fabrication of specialty items470 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Welder qualifications
•	 Cutting, fitting, and joining of members into components
•	 Members coating and other corrosion protection
•	 Loading for transportation
•	 Erection offshore
•	 Placement of underwater component
•	 Installation of pile foundation
•	 Setting of above water components and equipment
•	 Miscellaneous associated construction
•	 Acceptance
12.4 Offshore Platform Design Overview
The main element to perform in any design project is to define the load and
calculate it, and then perform the structure analysis and select the optimum
sections. All the design steps depend on load calculation. In the following
section, the different loads affecting the platforms are described.
12.4.1 Loads
In general, the loads acting on the platform are as follows:
•	 Gravity loads
•	 Wind loads
•	 Wave loads
•	 Current loads
•	 Earthquake loads
•	 Installation Loads
•	 Other loads
12.4.1.1 Gravity Load
The gravity load comprises the weight of the platform itself and the weight
of equipment such as piping, pumps, compressors, separators, and other
mechanical equipment used during the operation of the platform.
Dead load. The structural dead load is the weight in air of the overall
platform structure including piling, superstructure, jacket, stiffeners, piping and conductors, corrosion anodes, decking, railing, grout, and otherOverview of Fixed Offshore Structures 471
appurtenances (Table 12.1). Sealed tubular members are to be considered as
either buoyant or flooded, whichever produces the maximum stress at the
point under consideration. After a model of the structure is built (using a
software), the structure dead weight is calculated automatically.
Live load. Live loads are the loads imposed on a platform during its use;
these loads may change during a particular mode of operation or from one
mode of operation to another. The live load usually includes the following
items:
1. The weight of drilling and production equipment
2. The weight of crew living quarters, heliport, and other life support
equipment
3. The weight of liquid in storage tanks
4. The forces due to deck crane usage
General deck area design loading. The topside deck structure shall be designed
for the following specified imposed loads applied to open areas of the
deck, where the equipment load intensity is less than the values shown (see
Table 12.2).
Live load condition. All equipment loads but no future equipment, together
with 2.5 kN/m2 on the lay down areas, and a total additional live load of
50 tons. This live load shall be applied as a constant uniformly distributed
load over the open areas of the deck. Deck loading on clear areas for extreme
storm conditions for substructure design may be reduced to zero as it will
not be normally manned during storm conditions. A total live load of 200 kN
at the topside center of gravity (CG) shall be assumed for the design of the
jacket and foundations. Point load for the access platform beam is designed
to be 10 and 5 kN for deck grating and stringers, respectively.
TABLE 12.1
Dead Load
Uniform Load
Beams and
Decking (kN/m2)
Concentrated Line
Load on Decking
(kN/m)
Concentrated Load
on Beams (kN)
Walkways and stairs 4.79 4.378 4.44
Areas over 37 m2 3.11
Areas of unspecified
light use
11.97 10.95 267
Areas where specified
loads are supported
directly by beams
7.3472 Construction Management and Design of Industrial Concrete and Steel Structures
12.4.1.2 Impact Load
For structural components carrying live loads that include impact, the live
load must be increased to account for the impact effect (Table 12.3).
12.4.1.3 Wind Load
The wind data will be provided by the owner according to the metocean
study, which defines the prevailing wind direction and the maximum wind
speed for every 1, 50, and 100 years.
Figures 12.7–12.9 represent a sample of the wind data that will be in the
metocean study report. The most important design considerations for an
offshore platform are the storm wind and storm wave loadings, to which it
will be subjected during its service life. This information is usually available
TABLE 12.2
Approximate Design Loads on the Platforms
Area
Loading (kN/m2)
Member Categorya Point
Load
1 2 3 4 (kN)
Helideck areas 15 10 (Note 2) (Note 3) Bell 412
Laydown areas 12 10 (Note 2) (Note 3) 30
Open deck areas and access
hatches
12 10 (Note 2) (Note 3) 15
Mechanical handling routes 10 5 (Note 2) (Note 3) 30
Stairs and landing 2.5 2.5 1 – 1.5
Walkways and access platforms 5 2.5 (Note 2) (Note 3) 5
(Note 4)
Note:
1. Loading for deck plate, grating, and stringers shall be combined with structural
dead loads and designed for the most onerous of the following:
•	Loading	over	the	entire	contributory	deck	area
•	A	point	load	(applied	over	a	300	×	300	mm	footprint)
•	Functional	loads	plus	design	load	on	clear	areas
2. For the design of the main framing, two cases shall be considered:
•	Maximum	operating	condition
All equipment, including future items and helicopter, together with 2.5 kN/m2 on
the laydown area.
3. Deck loading on clear areas for extreme storm conditions for substructure design
may be reduced to zero in view of the not normally manned status of the platform
during storm conditions. A total live load of 200 kN at the topside centre of gravity
shall be assumed for the design of the jacket and foundations.
4. Point load for access platform beam design to be 10 kN and 5 kN for deck grating
and stringers respectively.
a Member category: member 1, deck plate grating and stringers; member 2, deck beams; member 3, main framing; member 4, jacket and foundation.Overview of Fixed Offshore Structures 473
to the owner and delivered to the engineering office; if this information is
not available, it should be obtained from the appropriate national or international authorities.
The wind speed at any elevation above a water surface is presented as:
V
z = V10(z/10)1.7
From this equation, which is similar across different codes, we can calculate
the wind force on the structure, where
V
10 = Wind speed at a height of 10 m
z = Desired elevation (m)
The wind drag force on an object should be calculated as:
F = (ρ/2)V2CsA
TABLE 12.3
Impact Load Factor
Structural Item
Load Direction
Vertical Horizontal
Rated load of cranes 100% 100%
Supports of light machinery 20% 0%
Support of reciprocating machinery 50% 50%
Boat landings 200 kips (890 kN) 200 kips (890 kN)
, Direction of Propagation
Definition of terms—elementary, sinusoidal, progressive wave
L
Trough
C
o x
z
Crest
SWL SWL
H
d L T
a a
Bottom, z = –d
NOTE: (a) η = a cos ( – )
(c) η = a = H/2 at wave crest
η = –a = –H/2 at wave trough
(b) For given origin (x = 0) wave profile is shown
for t = 3T/4, 7T/4, 11T/4 ……
2πx 2πt
η
FIGURE 12.7
Definitions of sinusoidal progressive curve.474 Construction Management and Design of Industrial Concrete and Steel Structures
where
F = Wind force
ρ = Mass density of air (0.0023668 slugs/ft3)
V = Wind speed (ft/s)
C
s = Shape coefficient
A = area of the object (ft2)
Celerity
Velocity
Acceleration
Direction of Wave Propagation
0 π/2 2π
Local fluid velocities and accelerations
u = +; w = 0
a
x = 0; az = – ax = +; az = 0 ax = 0; az = + ax = –; az = 0 ax = 0; az = –
u = 0; w = + u = –; w = 0 u = 0; w = – u = +; w = 0
z
π 3π/2
0 π/2 π 3π/2 2π
θ
θ
FIGURE 12.9
Local fluid velocities and acceleration.
2B
+ +
u u u
Bottom z = –d
Water particle displacements from mean position for shallow-water and deepwater waves
dL
12
<
Mean
Position
w = 0
u ≠ 0
Elliptical Orbits
A ≠ B
Circular Orbits
A = B
SWL SWL
w = 0
u ≠ 0
Bottom z = –d
Deepwater wave
B ξ
Shallow-water wave
or
Transitional-water wave d
L
12
>
A A
B B
2A
+
FIGURE 12.8
Water particle displacement for shallow and deepwater waves.Overview of Fixed Offshore Structures 475
For the shape coefficient, Cs,
Beams 1.5
Sides of buildings 1.5
Cylindrical section 0.5
Overall projected area of platform 1.0
Table 12.4 lists some of the design wind pressures that have been used in
conjunction with a 100-year sustained wind velocity of 125 mph.
Shielding coefficient. Use of these factors is based on the judgment of the
designer and the following factors are usually based on API RP2A (Table
12.5).
12.4.1.4 Wave Load
The characteristics of waves in the ocean often appear as a confused and
constantly changing sea of crest and troughs on the water surface because of
the irregularity of wave shape and the variability in the direction of propagation. The direction of wave propagation can be assessed as an average of
the direction of individual waves.
In general, actual water–wave phenomena are complex and difficult to
describe mathematically because of nonlinearities, three-dimensional characteristics, and apparent random behavior. However, there are two classical theories—one developed by Airy in 1845 and the other by Stokes in
TABLE 12.4
Design Wind Pressures at 125 mph for a 100-Year Period
Structure Member Pressure (psf)
Flat surface such as wide flange beams, gusset plates, sides of building, etc. 60
Cylindrical structural members 48
Cylindrical deck equipment (L = 4D) 30
Tanks standing on end (H ≤ D) 25
TABLE 12.5
Shield Factors on API
Component Shielding Factor
Second in a series of trusses 0.75
Third or more in a series of trusses 0.50
Second in a series of beams 0.50
Third or more in a series of beams 0.00
Second in a series of tanks 1.00
Short objects behind tall objects 0.00476 Construction Management and Design of Industrial Concrete and Steel Structures
1880—that describe simple waves. The Airy and Stokes theories generally
predict wave behavior better where water depth relative to wavelength is not
too small. For shallow water regions, conoidal wave theory, originally developed by Korteweg and DeVries in 1895, provides a rather reliable prediction
of the waveform and associates motions for some conditions. Recently, the
work involved in using conoidal wave theory has been substantially reduced
by the introduction of graphical and tubular forms of function by many
researchers; however, application of the theory is still complex.
In 1880, Stokes developed a finite amplitude theory that is more satisfactory. Only the second-order Stokes equations are presented, but the use of
higher-order approximation is sometimes justified for the solution of a practical problem.
Another widely used theory, known as the stream function theory, is a
nonlinear solution similar to Stokes’ fifth-order theory. Both use summations
of sine and cosine wave forms to develop a solution to the original differential equation. The theory to be used for a particular offshore design is determined by the policy under which the designing engineers are working.
Metocean data will provide us the following data for the platform location
as an example in Table 12.6.
Ws
, 1 h mean wind speed at 10 m above sea level (m/s); Hs, significant wave
height, estimated from the wave energy spectrum, H m s = 0 , equivalent to
the mean height of the highest one-third of the wave in a sea state (m); Hmax,
maximum wave height, highest individual zero crossing wave height in a
storm of duration 24 h (m); Tz, mean zero crossing wave period, the average
period of the zero-crossing wave heights in a sea state, and estimated from
the wave energy spectrum, T m z = ( ) 0 2 /m (s); Tp, peak wave period, the period
associated with the peak in the wave energy spectrum; estimated from the
wave energy spectrum, Tp = m – 2m1/m0 (s); Tass, wave period associated with
maximum wave height (s); Hc, crest height, highest crest to mean-level height
of an individual wave in a storm of duration 24 h (m); U, horizontal wave
orbital velocity at 3 m above the seabed estimated from Hmax and Tass using
stream function wave theory (m/s).
TABLE 12.6
Example of Metocean Data
Return
Period (years)
Ws
(m/s) Hs (m) Tz (s) Tp (s) Hmax (m) Tass (s) Hc (m)
U
(cm/s)
1 16.1 2.2 4.7 6.2 3.2 6.3 1.9 1
10 17.7 2.8 5.4 7.1 5.3 7.2 3.2 5
50 18.7 3.2 5.9 7.7 6.6 7.7 4.0 11
100 19.2 3.3 6.0 7.9 7.2 8.0 4.3 15
10,000 22.0 4.5 7.1 9.4 10.9 9.4 6.6 51Overview of Fixed Offshore Structures 477
The equation for wave velocity and acceleration are as follows:
F
1 = (2π(z + d)L) (12.1)
F
2 = (2πd/L) (12.2)
F
3 = (2πx/L) – (2πt/T) (12.3)
•	 Velocity
U = [(H/2)(gT/L)cosh F1/cosh F2]cos F3 (12.4)
W = [(H/2)(gT/L)sinh F1/cosh F2]sin F3 (12.5)
•	 Acceleration
a
x = [+gpH/L cosh F1/cosh F2]sin F3 (12.6)
a
z = [–gpH/L sinh F1/cosh F2]cos F3 (12.7)
The theories concerning the modeling of ocean waves were developed in the
nineteenth century (Figure 12.10). Practical wave force theories concerning
Sea bed
MSL
Crest
elevation
Wave
height
Wave
propagation
Air
Water
Vertical
Force cylinder
distribution
FIGURE 12.10
Wave forces distribution on a vertical pipe.478 Construction Management and Design of Industrial Concrete and Steel Structures
actual offshore platforms were not developed until 1950, when the Morison
equation was presented
F = F
D + FI (12.8)
where FD is the drag force and FI is the inertial force.
•	 Drag force
The drag force due to wave acting on an object can be obtained by:
F
D = 1/2ρCdV2A (12.9)
where
F
D = Drag force (N)
Cd = Drag coefficient
V = velocity of object (m/s)
A = projected area (m2)
ρ = density of water (kg/m3)
•	 Inertial force
The inertial force due to wave acting on an object can be found by:
F
1 = ρCmaD2/4 (12.10)
where
F
I = Inertial force (N)
C
m = Mass coefficient
a = Horizontal water particle acceleration (m2/s)
D = Diameter of the cylinder (m)
ρ = density of water (kg/m3)
Wave load calculation:
•	 Cd and Cm are dimensionless, and the values most often used in
the Morison equation are 0.7 and 2.0, respectively. For API, they
are 0.65 and 1.6 (smooth) or 1.05 and 1.2 (rough), respectively.
•	 Water particle velocity and acceleration are functions of wave height,
wave period, water depth, distance above bottom, and time.
•	 The most elementary wave theory was presented by Airy in 1845.
•	 Another widely used theory, known as the stream function theory, is a nonlinear solution similar to Stokes’ fifth-order theory.Overview of Fixed Offshore Structures 479
12.4.1.5 Comparison between Wind and Wave Calculation
When we calculate the force that affects the structure due to wind, we take
the drag force into consideration and neglect the inertial force; however, for
waves we should consider drag force and inertial force, and the following
example illustrates the reason why we neglect the inertial force in wind load
calculations.
Example
Pipe diameter = 0.4 m
V
air = 25 m/s Vwater = 1 m/s
aair = 1 m2/s awater = 1 m2/s
W
air = 1.3 kg/m3 Wwater = 1000 kg/m3
Fd = (1/2)CdwV2A
F
m = Cmwπ(D2/4)a
•	 Air
Fd = (1/2)(0.8)(1.3)(25)2(0.4) = 130 N
F
m = 2(1.3)(π)(0.4)2/4(1) = 0.33 N
•	 Water
Fd = (1/2)(0.8)(1000)(1)2(0.4) = 160 N
F
m = 2(1000)(π)(0.4)2/4(1) = 251 N
Conductor shielding factor. The conductor shielding factor is dependent
on the configuration of the structure, and the number of well conductors
can be a significant portion of the total wave forces. If the conductors are
closely spaced, the forces on them may be reduced due to the hydrodynamic
shield.
A wave force reduction factor will be taken from Figure 12.11, where S is
the spacing in the wave direction and D is the conductor diameter.
12.4.1.6 Current Loads
The presence of current in the water produces minor effects; the most variable is the current velocity, which should be added vectorially to the horizontal water particle velocity. In design, the maximum wave height is sometimes
increased by 5% to 10% to account for the current effect and the current is
neglected.480 Construction Management and Design of Industrial Concrete and Steel Structures
12.4.1.7 Earthquake Load
The ductility requirements are intended to ensure that the platform has sufficient reserve capacity to prevent its collapse during rare intense earthquake
motions, although structural damage may occur.
In areas of low seismic activity (less than 0.05 g), the design of environmental loading other than earthquake will provide sufficient resistance against
earthquakes.
In case of seismic activity ranging from 0.05 to 0.1 g, the important factor
is deck appearances (piping, facilities, etc.). The platform should be checked
for protection against earthquake using dynamic analysis procedures such
as spectrum analysis or time history analysis.
12.4.1.8 Other Loads
These loads are discussed in relation to the configuration of the platform and
the following environmental conditions:
1. Marine growth
2. Scour
Marine growth. Marine growth increases the diameter of the jacket member,
which in turn increases the drag force. Based on API, 1.5 in. from mean high
high water level (MHHW) to –150 ft MHHW is 1 ft higher than mean low low
water level (MLLW). Smaller or larger thickness values may be used from sitespecific studies. A structural member is considered smooth if the value exceeds
1.1
1
0.9
0.8
Shielding Factor
0.7
0.6
0.5
0.4
0.3
1.5 2 2.5 3 3.5
S/D
4 4.5 5 5.5
FIGURE 12.11
Shielding factor based on API RP2A.Overview of Fixed Offshore Structures 481
MHHW or is lower than –150 ft where marine growth is light (and can therefore be ignored). The zone between MHHW and –150 ft is considered rough.
Scour. Seabed scour affects both the lateral and axial pile performance and
capacity. Scour prediction remains an uncertain art. Sediment transport
studies may assist in defining scour design criteria but local experience is
the best guide.
Practical considerations in design assume that scour is 1.5D, where D is the
pile diameter. The scour effect on pile is shown in Figure 12.12, which presents an underwater survey for the leg.
The scope of work for each discipline and the required knowledge and
activity to start design will be as follow:
•	 Oceanography
Wind, wave, current, tide, ice
•	 Foundation engineering
Soil characteristics, vertical and lateral pile characteristics, scour
•	 Structural engineering
Materials selection and corrosion, stress analysis, welding, structure
analysis, design for fabrication and installation, welding
•	 Marine civil engineering
Installation equipment, installation methods, navigation safety
instrument
•	 Naval architecture
Floating and buoyancy, towing, launching, controlled flooding
FIGURE 12.12
Photo for scour.482 Construction Management and Design of Industrial Concrete and Steel Structures
12.4.2 Platform Configuration
The three main components of a steel template platform are (1) topside facilities (decks), (2) jackets, and (3) piles. Topside facilities frequently comprise
three decks: drilling deck, well head/production deck, and cellar deck.
These decks are supported by a grid work of girders, trusses, and columns
(Figure 12.13).
The topside structures are designed based on American Institute of Steel
Construction in Allowable Stress Design (AISC-ASD) or Load and Resistance
Factor Design specifications and the design procedure flow chart as shown
in Figure 12.14. Usually, the main supporting element will be the plate girder
or the tubular truss; in most cases, however, the tubular truss is preferred to
carry a small load in case of wind loads. The floor is covered with steel plates,
usually about 1-1/2 in. thick. The thickness of the deck framing is dependent
on the spacing between floor beams and the anticipated load on the deck.
A B
1 2 3 4
5 12 m 12 m 12 m 5
5 15 m 5
25 m
46 m
36 kN/m 2
58 kN/m 2
14 k N/m2
Drilling platform
Wells
area
A B
1 2 3 4
5 12 m 12 m 12 m 5
5 15 m 5
25 m
46 m
24 kN/m 2
Production platform
FIGURE 12.13
Load distribution on a drilling and production platform.Overview of Fixed Offshore Structures 483
Obtain oceanographic and
foundation data
Draw structure geometry
Select trial member size
Determine design operating
loads
Determine design, wind,
wave and current loads
Preliminary pile analysis
ree-dimensional space frame
analysis
Pile analysis
Preliminary individual
Member check
If member size changes
significantly, change the
storm load
Is the foundation model
compatible with the
structure model?
Check individual members
End Design
Select new
member size
Revise the
structure
model
yes
No
FIGURE 12.14
Platform design procedure.484 Construction Management and Design of Industrial Concrete and Steel Structures
12.4.3 Approximate Design Dimensions
•	 Large forces are produced when waves strike a platform’s deck and
equipment.
•	 Therefore, air gaps of at least 5 ft should be added to the crest height
of the wave in the omnidirectional guideline wave heights with a
normal return period of 100 years.
•	 For practical reasons, the sea deck level is usually stated at an elevation of 10–14 ft (3–4 m) above MWL.
•	 The jacket walkway is above the normal everyday waves that pass
through the jacket.
•	 For the eight-leg platform, the spacing between legs is about 40–60 ft
and is usually set by the availability of launch barges and the spacing of launch runners on these barges.
•	 In the transverse direction, the leg spacing is approximately
45 ft. This dimension is always constrained by the dimension of
the drilling and/production packages that will be placed on the
deck.
•	 The length of the cantilever overhang is usually about 12–15 ft.
•	 Allow a 1-in. annular clearance between the pile and the inside of a
leg. In piles with 60 and 48 in. outer diameter, the legs will have an
internal diameter of 62 and 50 in., respectively.
•	 Jacket legs are battered to provide a larger base for the jacket at the
mud line and thus assist in resisting the environmentally induced
overturning moments. The legs have batter for 1:8 or 1:7.
•	 Preliminary sizes are selected based on previous experience.
•	 Conductor and riser numbers and sizes will be provided. The conductor is always 18, 20, 24, or 30 in., and the risers are always 14–20 in.
12.4.4 Topside Structures
The main function of the topside is to carry the load from the facilities and
drilling equipment. The percentage breakdown of the weights comprising
the topside component is shown in Table 12.7.
12.4.5 Jacket Design
The function of the jacket is to surround the pile and hold the pile extensions
in position all the way from the mud line to the deck substructure. Moreover,
the jacket provides support for boat landings, mooring bits, barge bumpers,
corrosion protection systems, and other platform components. Virtually all
of the decisions about its design depend on the jacket leg. The soil conditions and foundation requirements often tend to control the leg size. TheOverview of Fixed Offshore Structures 485
golden rule in design is to minimize the projected area of the member near
the water surface (high wave zone), minimize the load on the structure, and
reduce the foundation requirements (Table 12.8).
12.4.6 Bracing System
The bracing system consists of vertical, horizontal, and diagonal tubular
members connected by jacket legs forming a stiff truss system. This system
transfers the horizontal load, which acts on the platforms, to the piles. There
are several variations in the platform bracing pattern. Every system has its
advantages and disadvantages. For example, the K-brace pattern system
results in fewer members intersecting at joints, thereby reducing welding
and assembly costs. It lacks redundancy when compared to X bracing. This
observation is based on the results of a joint industrial study.
It is recommended to choose a brace member diameter that has a slenderness ratio (KL/r) in the range of 70–90. Limiting the ratio to a range of 70–90
TABLE 12.7
Weight and Weight Percentage of Various Elements for Eight-Leg Drilling/
Production Platform
1. Deck Weight (Ton) Percentage (%)
Drilling deck
Plate 72 11
Production deck
Plate 52 7.8
Grating 1.0 0.16
Subtotal 125 18.8
2. Deck beams
Drilling deck 174 26.3
Production deck 56 8.5
Subtotal 230 34.8
3. Tubular trusses 146 22.1
4. Legs 105 15.9
5. Appurtenances
Vent stack 6 0.9
Stairs 12 1.8
Handrails 4 0.6
Lifting eyes 2 0.3
Drains 6 0.9
Fire wall 4 1.7
Stiffeners 14 2.2
Total 661 100486 Construction Management and Design of Industrial Concrete and Steel Structures
is an industry-accepted practice. As the slenderness of a brace increases, its
allowable axial stress (Fa) starts to decrease. At KL/r = 80, the allowable axial
stress (Fa) for A36 steel is 71% of that allowable for a nonslender member
(KL/r = 0). For steel 50 KSi at KL/r = 80, the Fa will reduce to about 63% compared to the nonslender member.
High KL/r ratios would render the high-yield pipe less efficient compared
to lower KL/r values. It should be noted that lower slenderness ratios also
encourage higher D/t ratios for tubular members, which may compound
local buckling problems.
For sizes up to 450 mm (18 in.), use the wall thickness for a standard pipe as
a starter. For sizes up to 700 mm (27 in.), try 12 mm. For 750 to 900 mm, start
with 16 mm. It is practical to keep the D/t ratio of the members between 19
and 60. Pipes with D/t values less than 19 are difficult to buy or make. A36
steel with D/t values exceeding 60 can present local buckling problems.
TABLE 12.8
Jacket Weight for Eight-Leg Platform Drilling/Production at 91 m Water Depth
ID Component Description Weight
% of Total
Weight
Subtotal
Weight
% of Total
Weight
1. Legs
Joint can 177 14.6
In between tubular and others 309 25.4
2. Braces 40
Diagonal in vertical plan 232 19.1 19.1
Horizontal 163 13.4
Diagonal in horizontal plan 100 8.2 40.7
3. Other framing
Conductor framing 35 2.9
Launch trusses and runners 82 6.7
Miscellaneous framing 2 0.2 9.8
4. Appurtenances
Boat landing 28 2.3
Barge bumpers 29 2.4
Corrosion anodes 22 1.8
Walkways 16 1.3
Mud mats 5 0.4
Lifting eyes 2 0.2
Closure plates 2 0.2
Flooding system 7 0.6
Miscellaneous 4 0.3 9.5
100Overview of Fixed Offshore Structures 487
From a practical point of view, for water depths (h) measured in feet, begin
to check for hydrostatic problems when D/t is higher than 250/(h)0.3333. In general, the legs of the jacket are interconnected and rigidly held by the following types of bracings: diagonals in vertical planes, horizontal, and diagonals
in horizontal plans. Often, for plans of horizontal bracing spaced 12–16 m
near the water surface, the span is approximately 12 m.
The benefits and the general function performed by the bracing system are
as follows:
1. Transmits the horizontal load to the foundation
2. Provides structure integrity during fabrication and installation
3. Resists wrenching motion of the installed jacket-pile system
4. Supports the corrosion anodes and well conductors
For joint industrial projects (Report for Joint Industry Typical Frame
Projects, 1999), Figures 12.15 and 12.16 illustrate buckling on the K-bracing
member and failure in the joints, respectively (see also Figure 12.17).
FIGURE 12.15
Buckling in a member for K bracing.488 Construction Management and Design of Industrial Concrete and Steel Structures
12.4.7 In-Place Structure Analysis
In-place structure analyses are performed through software packages such
as SACS or SESAM, which are widely available in the market.
The steps in using software in design are as follows:
1. The designer must define the structure in terms of physical dimensions, member size, and material properties.
2. The designer must input the soil conditions as interpreted for him
by soil specialists in some programs requiring the P–y curve.
3. Various loads must be entered into the program.
4. The design wave through the structure at several azimuth angles is
required to determine the direction that produces higher reactions.
5. The program advances the wave through the structure at specified
increments, calculating the total shear and overturning moment on
the structure at mud line.
6. For each load condition, the analysis should provide the following:
(a) Total base shear and overturning moment
(b) Member end forces and moments
(c) Joint rotation and deflection
(d) External support reaction
FIGURE 12.16
Failure in K joint.Overview of Fixed Offshore Structures 489
7. After stresses have been calculated, they are compared with the
allowable stresses defined by the AISC.
8. The pile is replaced by a lateral spring in two directions: an axial
spring and a moment spring.
9. The piling interacts with the surrounding soil in an inelastic manner, and the program linearizes its response to generate the equivalent elastic spring (Figure 12.18).
12.4.8 Dynamic Structure Analysis
Dynamic analysis is becoming increasingly important for the following
reasons:
F
150 300
600
1200
0
API design
Displacement (mm)
Applied load (kN)
150 300
600
1200
0
API design
Displacement (mm)
Applied load (kN)
F
Applied load (kN)
150 300
600
1200
0
API design
Displacement (mm)
F
FIGURE 12.17
(a) X bracing with horizontal bracing without joint can. (b) X bracing with horizontal bracing
with joint can. (c) X bracing with horizontal bracing without joint can.490 Construction Management and Design of Industrial Concrete and Steel Structures
1. For larger and more costly structures, dynamic analysis translates
into substantial construction cost savings.
2. For complex offshore structures, an ordinary static analysis tends to
incur a higher risk.
3. The harsh environmental conditions at many deepwater sites cannot
be adequately modeled by static analysis.
4. Various software products are now available that make dynamic
analysis easier to perform.
The equation of motion is as follows:
Mu + Cu + Ku = P(v, v)
where
M = Diagonal matrix of virtual mass
C = Matrix for structural and viscous damping
K = Square linear structure stiffness matrix
P(v, v) = Load vector, where v and v are the water velocity and acceleration
u = Structural acceleration
u = Velocity
u = Displacement
The output results for the dynamic analysis will be:
1. Time history of member-end forces
2. Time history of joint displacement
Lateral
spring
Axial
spring
Moment
spring
FIGURE 12.18
Foundation piling model.Overview of Fixed Offshore Structures 491
3. Maximum values of joint displacement
4. Time history of interstory shear
5. Time history of overturning moment
6. Time history of base shear
7. Time history of axial pile loads
12.4.9 Tubular Joint Design
The tubular joint is very critical and important in offshore structure. There
are many researches working until in studying the capacity for this joint.
The parameters that affect the joint design are as shown in Figure 12.19.
τ = t/T
β = d/D
γ = D/2T
12.4.9.1 Tubular Joint Calculation
12.4.9.1.1 Punching Shear
V
p = τf sinθ
where f is the nominal axial, in-plane bending, or out-of-plane bending
stressing the brace.
θ
Vp
fb
t
g
T
D
fa
Chord
FIGURE 12.19
Geometric parameters for a tubular joint. t, brace thickness; g, gap between brace; T, chord
thickness; d, brace diameter; D, chord diameter; θ, brace angle measured from the chord.492 Construction Management and Design of Industrial Concrete and Steel Structures
The allowable punching shear stress in the chord wall is lower than the
AISC shear allowable value or
V Q Q F g
Qf A
pa = q f ( ) yc/
= −
0 6
1 0 2
.
. λγ
where
λ =
=
0 30
0 045
..
for brace axial stress
for brace in-plane bending stress
= 0 021 . p for brace out-of-plane bending stress
A f =   ( ) AX 2 2 + ( ) f f IPB O + ( ) PB 2   0 5 . 0 6 . Fye
Qf = 1.0 when all extreme fiber stresses in the chord are tensile.
The value of Qq will be obtained from Table 12.9.
Q
Q
β
β
= − ( ) β β β >
=
0 3 1 0 833 0 6
1 0
. ( . ) .
.
/ For
For
/ For 20
g g
β
γ
≤
= − ≤
=
0 6
1 8 0 1
.
Q g . . ( ) T
Q 11 8 . ( − > 4 2 g D / F ) or γ 0
In any case, Qg should be higher than or equal to 1.0.
Joint classification of K, T and Y, or cross should apply to individual braces
according to their load pattern for each load case. To be considered a K joint,
the punching load in a brace should be essentially balanced by loads on
TABLE 12.9
Values of Qq
Axial
Compression Axial Tension
In-Plane
Bending
Out-of-Plane
Bending
K (gap) (1.10 + 0.2/β)Qg (3.27 + 0.67/β) (1.37 + 0.67/β)Qβ
T and Y (1.10 + 0.2/β)
Cross without
diaphragms
(1.10 + 0.20/β) (0.75 + 0.20/β)Qβ
Cross with
diaphragm
(1.10 + 0.20/β)Overview of Fixed Offshore Structures 493
other braces in the same plane on the same side of the joint. In T and Y joints,
the punching load is reached as a beam shear in the chord. In cross joints,
the punching load is carried through the chord to the braces on the opposite
side.
12.4.9.1.2 Allowable Joint Capacity
The allowable joint capacity will be calculated as follows:
P
a = QuQfFycT2/1.7 sinθ
M
a = QuQfFycT2/1.7 sinθ(0.8d)
Pa
and M
a are the allowable capacity for the brace axial load and the bending
moment, respectively. Values of Qu are shown in Table 12.10.
12.4.9.2 Tubular Joint Punching Failure
The potential for punch-through in the compression of K joint members into
the chord due to plastic deformations around the intersection under cyclic
loads is shown in Figures 12.20, 12.21, and 12.22.
Limited deformation at b = 1.0 compression X joint as maximum load
is attached—repeatable under cyclic loads.
Flattening of b = 1.0 tension X joint as chord yields—splitting of paint
but no cracks in steel.
Joint can precautions and their details are shown in Figure 12.23 as adopted
from the API RP2A WSD (2000).
12.4.10 Fatigue Analysis
Experience over the past 60 years and many laboratory tests have proven that
a metal may fracture at a relatively low stress if that stress is applied a great
number of times (Table 12.11). Failure is expressed as damage or life fatigue
TABLE 12.10
Values of Qu
Axial
Compression
Axial
Tension
In-Plane
Bending
Out-of-Plane
Bending
K (gap) (3.4 + 19β)Qg (3.4 + 19β) (3.4 + 7β)Qβ
T and Y (3.4 + 19β)
Cross without diaphragms (3.4 + 19β) (3.4 + 13β)Qβ
Cross with diaphragm (3.4 + 19β)494 Construction Management and Design of Industrial Concrete and Steel Structures
damage—number of cycles of a particular stress range divided by the allowable number of cycles for that range from the S–N curve (see Figure 12.24).
Assume that a point is subject to five cyclic stress ranges (due to wave).
D D
D D
5
6 6
10
20
10 10 50 10 0 2 0 1
0 2
= ⋅ ⋅ = =
=
/ . .
. 50 90 0 05 0 025
0 575
= =
=
. .
Total damage .
D
FIGURE 12.21
Buckling in tubular joint.
FIGURE 12.20
Punching shear.Overview of Fixed Offshore Structures 495
If these waves occurred over a period of 10 years, then
Life = 10/0.575 = 17.4 years
Tubular joint S–N curve
12.4.11 Boat Landing
The design of a boat landing is mainly influenced by loads due to impact
from the vessel or impact of the boat to the structure.
FIGURE 12.22
Tearing in tubular joint.
Heavy wall section of chord
300 mm
Min. 50 mm
d or 600 mm
D/4 or 300 mm
Minimum Minimum
D/4 or
Brace
D
Offset not to
exceed ±D/4
d
FIGURE 12.23
Details of a tubular joint.496 Construction Management and Design of Industrial Concrete and Steel Structures
To absorb the impact load, the usual practice is to fix a fender (usually a car
tire) attached to the boat landing. The connection between the boat landing
frame structure and the platform jacket will be through a shock absorber like
a piston.
12.4.11.1 Calculation of Collision Force
The calculations are based on an 850-ton boat impacting at 0.5 m/s, using
Regal Shock cell model SC1830:
100
x
x
x’
x’
50
20
10
5 2 1
0.5
Permissible cycles of load (N)
Hot spot cyclic stress range (ksi)
103 104 105 106 107 108 109
FIGURE 12.24
S–N curve adopted from API.
TABLE 12.11
Fatigue Analysis
Stress Range Occur Allowable
5 10 × 106 50 × 106
10 4 × 105 4 × 106
20 6 × 104 3 × 105
50 5 × 102 1 × 104
90 25 1 × 103Overview of Fixed Offshore Structures 497
M = ⋅ ( ) 850 9810 2200 2000 ⋅ ⋅ / N ( . 9 81 1000) . = 9 35 s /mm
A
2
ppproa ching velocity, mm/s
/
ν =
= ⋅ ⋅
500
E 1 2 935 500 ( )22 7 = ⋅ 11 7 10 . N mm
From the shock cell type, choose a suitable curve for the relation between
energy versus the deflection curve as shown in Figure 12.25.
δ = 208.3 mm for E = 11.7 × 107 N mm
For the force-versus-deflection base on the model type curve as shown in
Figure 12.26,
F = 1.16 × 106 N.
Some of the energy is absorbed by the vessel (assume that 30% is absorbed
by the vessel and 70% by the structure):
E = 11.7 × 107 × 0.7 = 8.2 × 107 N mm
δ = 177.8 mm
F = 9.81 × 105 N
10
0
0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
20
30
40
50
60
70
80
Energy absorption (ton m)
Deflection (mm)
TH2036
TH1836
TH1830
FIGURE 12.25
Energy absorption versus deflection.498 Construction Management and Design of Industrial Concrete and Steel Structures
This force will not be concentrated at one point because the collision will
affect a wider area depending on the dimensions of the vessel and its position during the impact, and also because the fender system distributes the
load (Figure 12.27).
12.4.11.2 Cases of Impact Load
F = 9.81 × 105 N
L = 5560 mm (assumed)
Case 1: uniform load at midspan at elevation (+) 300
Uniform load = F/L = 9.81 × 105/5560 = 176.44 N/mm’
Case 2: uniform load at midspan at elevation (–) 900
Uniform load = F/L = 9.81 × 105/5560 = 176.44 N/mm’
Case 3: uniform load at midspan at elevation (+) 300 and elevation
(–) 900
Reaction force (tons)
Deflection (mm)
50
0
0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
100
150
200
250
300
350
TH2036
TH1836
TH1830
FIGURE 12.26
Reaction force versus deflection.Overview of Fixed Offshore Structures 499
Uniform load = 0.5F/L = 4.91 × 105/5560 = 88.22 N/mm’
Case 4: assume impact load distributed as a concentrated load at the
midspan at elevation (+) 300 and elevation (–) 900 (six concentrated
loads)
Force at each joint = F/6 = 9.81 × 105/6 = 1.635 × 105 N
(a) 5700 mm
L = Boat impact length
5700 mm
(b)
6283
6283
θ
1
θ
2
θ
1
θ
2
(c)
FIGURE 12.27
(a) Boat landing. (b) Boat impact length. (c) Proposed deformation of boat landing.500 Construction Management and Design of Industrial Concrete and Steel Structures
y y
+ +
323.9 12.7 WT
Fy
F
F
Riser Guard
F
y = 240 N/mm2 (mild steel)
F = 240 × (π/8) × [323.92 – 298.52] = 14.9 × 105 N
R
av = ½ [323.9/2 + 298.5/2] = 155.6 mm
y = (2/π) × 155.6 × [1 + (12.7/155.6)2 × (1/12)] = 99 mm
M
p = 2 × 99 × 14.9 × 105 = 295 × 106 N mm
P × δ = 5 × M
p × (θ1 + θ2)
θ1 = θ2 = δ/6283
12.4.11.3 Cases of Impact Load
Case 1: uniform load at midspan at elevation 0.0 (MWL)
L = 7000 mm (assumed)
Uniform load = 67.2 N/mm
L = Boat impact lengthOverview of Fixed Offshore Structures 501
Case 2: uniform load at mid-span at elevation (+) 1200 and elevation
(–) 1200
L = 6500 mm (assumed)
Uniform load = 33.6 N/mm (for each elevation)
L = Boat impact length
12.5 Design Quality Control
Designing an offshore structure is a complicated and difficult task, so it needs
multiple ways to check the quality. One of these method checks is to use a
checklist to ensure that all factors are taken into account for the design.
Table 12.12 is a checklist for jacket in-place analysis and Table 12.13 is a
checklist for topside in-place analysis.
12.6 Construction Procedures
The design of a jacket is constrained by water depth and the lifting, launching, or self-floating, which depends primarily on the available offshore
installation barge capability. In general, the preference is to lift the jacket in
place. The size of offshore structure jackets has being increasing as offshore
lifting capacity has grown. Nowadays, the lifting capacity can reach up to
14,000 tons.
In the case of jackets in shallow water, where the height of the jacket is
approximately equal to the plan dimensions, erection is usually carried out
vertically in the same attitude as the final installation. In such cases, the
jacket may be lifted or skidded onto the barge.
Jackets designed for use in higher water depths are usually erected on their
side. Such jackets are loaded by being pulled out into a barge. Historically,502 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 12.12
Checklist for Jacket in Place Analysis
Project:
Client:
Items Check Points Check (Yes/No)
Computer Model
1 Framing dimensions as per the drawings/sketch
2 Framing elevations as per the drawings/sketch
3 Water depth and mud line elevation as per basis of design (BoD)
4 Member group properties: E, G, density as per BoD
(a) Section details, segment lengths, member offsets
(b) Corrosion allowance in splash zone
(c) Zero density for wishbone elements in ungrouted jackets
(d) Grout density corrections for grouted leg and pile
5 Member properties: Kx, Ky, Lx, Ly
6 Member end releases where applicable
7 Flooded members (legs, risers, J tubes, caissons, etc.)
8 Dummy members (relevant joints kept, the rest deleted)
9 Plate/membranes modeled correctly
10 Boundary conditions
11 Drag and inertia coefficients (smooth and rough members)
12 Marine growth data as per BoD
13 Member and group overrides
(a) No wave load and marine growth on piles and wishbones in
jacket legs
(b) Enhancement of Cd, Cm for anode supported members
(c) Enhancement of Cd, Cm for jacket walkway members
(d) Enhancement of Cd, Cm
14 LDOPT card and OPTION card in the analysis input file
15 Hydrostatic collapse check selected with redesign option
16 Allowable stress modifiers (AMOD) for extreme storm load cases
17 Unity check ranges (UCPART) in the analysis input file
Loads
18 Load description, calculations, and distribution
19 Wave theory, wave, current, and wind directions
(Nonlinear current stretch with apparent wave period calculation)
20 Equivalent Cd, Cm calculations for items mentioned above
21 Load contingencies as per BoD
22 Load combinations for operating and extreme cases
23 Load summations
24 Load summation verification against weight control data
PSI Data and Input File
(continued)Overview of Fixed Offshore Structures 503
most large jackets have been barge-launched. This method of construction
usually involves additional flotation tanks and extensive pipework and
valves to allow the legs to be flooded for ballasting of the jacket into the vertical position on site. Nowadays, this method of construction is applicable to
jackets up to 25,000 tons.
TABLE 12.12 Continued
Checklist for Jacket in Place Analysis
Project:
Client:
Items Check Points Check (Yes/No)
Loads
25 Units for T–Z, Q–Z, and P–Y data from the client supplied data
26 Pile segmentation data, end-bearing area
27 With reference to the input format
With reference to the input format, check T, Q, and P factors
Analysis Results
28 Enclose sea-state summary (check against load summation)
29 Enclose member check summary: review for overstressed
members
30 Enclose joint check summary: review overstressed joints (check
F
y = 2/3Fu for chords of high strength members)
31 Enclose PSI analysis results: check maximum pile compression
and tension
32 Enclose model plots: joints/group/section names, Kx, Ky, Lx, Ly, Fy,
and loading
33 Enclose deflection plots, member unity check ratio plots
34 Enclose hydrostatic collapse check reports (check for need of
rings)
35 Enclose pile factor of safety calculations
36 Enclose permissible deflection calculations
37 Enclose plot plan and latest structural drawings
38 Enclose relevant sections of weight control report
Dynamic In-Place Analysis (Optional)
39 Determine dynamic amplification factor (DAF) based on single
degree of freedom concept and apply on wave load cards
40 Determine DAF based on inertial load distribution and apply on
total structure
General
41 Joint name range identified for each framing level and sequential
42 Member group name specific to each framing level and sequential
43 Check for future loads, loads due to specific requirement such as
rigless interventions504 Construction Management and Design of Industrial Concrete and Steel Structures
Very large jackets (exceeding 25,000 tons) are constructed as self-floaters in
a graving dock and towed offshore subsequent to flooding of the dock.
The following method is used to reduce the construction time and cost:
•	 Subdivision of jackets into large components and modules, which
would make their fabrication and assembly possible.
TABLE 12.13
Checklist for Topside In-Place Analysis
Items Check Points Check (Yes/No)
Computer Model
1 Framing dimensions as per the drawings
2 Two framing elevations as per the drawings
3 Member properties: Kx, Ky, Lx, Ly
4 Member end releases where applicable
5 Plate/membranes modeled correctly
6 Boundary conditions
7 Load option card and option card in the analysis input file
8 Allowable stress modifiers for extreme storm load cases
9 Unity check ranges in the analysis input file
Loads
10 Load description and calculations
11 Secondary structural item dead load calculations
12 Equipment, piping operating, and dry load, electrical and
instrument (E&I) bulk load calculations
13 Wind load calculations, wind area considered
14 Earthquake load calculation
15 Load contingencies
16 Load combinations for operating and extreme cases
17 Load combinations for local checks
18 Load summations
Installation and preservice loads may be applied as a separate
load case
Crane load cases may be magnified and applied for local checks
19 Check for future loads, loads due to specific requirement such as
rigless interventions
Analysis Results
20 Enclose sea-state summary (check against load summation)
21 Enclose member check summary: review for overstressed
members
22 Enclose joint check summary: review overstressed joints (check
F
y = 2/3Fu for CHORDS of high-strength members)
23 Enclose model plots: Joint/Group/Section names, Kx, Ky, Lx, Ly, Fy
24 Enclose deflection plots, member unity check ratio plotsOverview of Fixed Offshore Structures 505
•	 Fabrication of major components in optimum locations and under
the best conditions.
•	 Professional procurement plans to deliver the critical materials on
time.
•	 Try to simplify the configurations and standardization of details,
grades, and sizes.
•	 Avoidance of excessively tight tolerances.
•	 Selection of structural systems that utilize skills and trades on a relatively continuous and uniform basis.
•	 Protective coating should be applied in a fabrication shop as their
on-site application will be difficult to manage.
Quality control, inspection, and testing should be performed during all
phases of construction to ensure that specified requirements are being met.
The most effective quality scheme is one that prevents the introduction of
defective materials and workmanship into a structure, rather than addressing the problems after they occur.
12.6.1 Engineering of Execution
The engineering office, which performed the design, should oversee the execution during each phase to address site inquiries in a fast and accurate manner
and to ensure that the design requirements are fulfilled on site accurately.
The construction procedure is included during the jacket design stage.
The shape, geometry, and properties of the jacket require specific methods
of loadout, transportation, and installation. Noting that this phase is under
contractor responsibility, there is considerable interfacing of engineering
requirements in these phases.
In the earlier stages of procurement through assembly and erection, the contractor, while being limited by design specification requirements, has a freedom
of choice with regard to the method of execution. In all phases, the contractor
is required to choose the methods and ensure that they are compatible with
the specification requirements and do not affect the structure integrity.
Each stage of execution has its own specific engineering requirements,
which are determined by the construction execution plan. Accordingly, the
engineering group that supports procurement and shop fabrication is a large
operation, but the good news is that the work it performs is usually repetitive
(e.g., material take-offs, shop drawings, cutting plans).
The volume of contractor construction engineering work on a large jacket is
usually about 130,000/150,000 man-hours. When designing larger elements,
consideration must be given to their subdivision into elements, which should
not distort when fabricated and which can be relatively easily assembled
without welding or dimensional problems. For instance, tubular joints are
categorized as either complex or simple from the execution viewpoint, based506 Construction Management and Design of Industrial Concrete and Steel Structures
on the number of separate fitting-welding and nondestructive testing cycles
required during fabrication.
Node stubs can be classified as simple or overlapping. Overlapping stubs
add at least one complete cycle to node fabrication and should therefore be
avoided where possible. The minimum separation between the weld toes of
adjacent simple stubs is typically specified as 50 mm. However, this distance
is too small to allow simultaneous welding of adjacent stubs—150 mm is a
more practical distance.
12.6.2 Fabrication
The engineering firm will deliver the specifications for fabrication of offshore jackets. In general, there are two main codes that are used extensively
for establishing specification requirements: API RP2A and AISC Design,
Fabrication, and Erection of Structural Steel for Buildings. The quality control
for welds usually entails visual, magnetic particle inspection, and ultrasonic
test inspection by the quality control engineer.
The location and orientation of circumferential and longitudinal welds during construction is based on minimizing interferences and ensuring the minimum distance between circumferential welds. Special attention is required
on items such as pile sleeve shear plates, launch runners, and mud mats.
According to the American Welding Society (AWS), if welds are found to
be defective, they should be rectified by grinding, machining, or welding as
required. Welds of insufficient strength, ductility, or notch toughness should
be completely removed before repair.
In general, subassemblies are executed so that at least one of the two edges
that will mate during subsequent assembly/erection has a cutoff allowance. This procedure provides flexibility in that the subassemblies can be
sent to the field with the cutoff allowance in place, and cut to fit on location. Alternatively, they can be cut to exact dimensions during subassembly
where the as-built dimension has already been determined.
12.6.2.1 Joint Fabrication
The primary structure joints are frequently geometrically complex. Accordingly, their fabrication presents particular problems, especially in terms of
dimension accuracy control and welding.
On a complex jacket, the designer may specify the joint cans or the whole
joint including stubs and ring stiffeners, in materials with specified throughthickness properties. This requirement is introduced because of tearing or
punching effects are likely to be sustained by these elements during their
design life and, indeed, during fabrication.
The designer usually increases the thickness or reinforces the cans so they
can withstand local stresses. Finally, in an effort to ensure that joint welds
contain minimal levels of residual stress due to fabrication, thermal stressOverview of Fixed Offshore Structures 507
relieving or post-weld heat treatment of the heavier, more restrained welds
may be prescribed.
12.6.3 Jacket Assembly
The jacket is assembled in the fabrication yard because it requires a heavy crane
and lifting tools. For a large jacket, the assemblies are typically of four types:
•	 Jacket levels incorporating conductor guide frames
•	 Top frames
•	 Jacket rows, that is, bents or partial bents
•	 Pile sleeve clusters
The assembly and erection phases are based on the following objectives:
•	 Maximize on-the-ground assembly (as opposed to erection) and
maximize access around the jacket during execution.
•	 Minimize erection joints in principal structural elements, such as
jacket legs, launch runners, rows, and levels. Align critical areas
such as conductor guides, pile sleeves, and launch runners.
•	 Subassemble principal structural elements of jacket such as jacket
legs, rows, levels. Subassemble, and, where possible, pretest systems
such as grouting and ballasting. Include maximum quantity of secondary items such as anodes, risers, J tubes, and caissons. Coat or
paint required areas (top of jacket, risers) before erection.
•	 Minimize the use of temporary items that require subsequent
removal, such as scaffolding, walkways, and lifting aids, and preinstall such aids where they are necessary.
The overall assembly sequence and plan requires that each assembly be completed before lifting. It is normal to determine their exact location, orientation, and attitude. Face-up or face-down of each assembly in the field is
determined in anticipation of its lifting procedure.
Dimensional control of the assembly before and after welding can be
achieved via a series of self-checking measurements on the structure itself.
Provided cross checks are adequate, the time-consuming exercise of referring measurements to an external benchmark can be avoided.
An outlined sequence of events that applies to all types of assemblies is as
follows:
•	 Preparation of assembly support and staging.
•	 Rough setting of the assembly main structure and position tacking.
Dimensional control of assembly main structure.508 Construction Management and Design of Industrial Concrete and Steel Structures
•	 Dimensional control of the assembly and the secondary structure.
•	 Installation of appurtenances (e.g., anodes, supports, walkways, risers, J tubes, caissons, grouting, and ballasting) and scaffolding, lifting, aids, erection guides, temporary attachments.
•	 Test (e.g., hydrotest) if required. Overall nondesctructive test, dimensional control.
•	 Blasting and painting or touch-up. Removal of temporary assembly
supports and staging.
•	 Preparation for transport, lift, and erection.
12.6.4 Jacket Erection
This phase includes the assembly and subassembly of the fabricated structure.
As shown in Figure 12.28, Figure 12.29 also shows the erection of the topside.
For jacket structure, Figure 12.30 presents the fabrication of one side of
the jacket, and Figure 12.31 shows the fabrication of the horizontal bracing
and the conductor guide. The outlined sequence for the erection of all major
components is as follows:
•	 Technical appraisal of lift methods. Calculations for crane configuration, rigging accessories, and other tools.
•	 Preparation of cranes for lift. Preparation for rigging. Transport
assembly to lift location. Roll up into position with scaffolding and
staging in position, if possible.
•	 Preparation of fixing system and wind bracing.
FIGURE 12.28
Topside erection.Overview of Fixed Offshore Structures 509
12.6.5 Loads from Transportation, Launch, and Lifting Operations
The topside structure and jacket components are subjected to critical loadings during construction operations. Some jacket members and joints may be
subjected to high bending and punching shear loads as the braces and bents
are assembled into a jacket in the fabrication yard. Analysis of such assembly
loading conditions would require sequential simulation of jacket geometry
and loads, and knowledge of the jacket assembly as shown in Figures 12.32
and 12.33.
As the jackets are transported by barge to the site, the jacket and tie down
braces, their connections, and the transportation barge are subjected to significant dynamic accelerations and inclined self-weight loads. These motions
FIGURE 12.30
Jacket assembly.
FIGURE 12.29
Jacket fabrication on the yard.510 Construction Management and Design of Industrial Concrete and Steel Structures
and resulting dynamic loads must be simulated in incremental loading
sequences to determine and dimension the highest stressed components.
Note that bracing may be needed only for the jacket transportation phase;
some of these braces may have to be removed before the jacket is installed on
site, to reduce in-place wave loads.
During its launch to sea, the jacket will be subjected to significant inertial and drag loadings. In general, most critical loadings would occur as the
jacket starts tilting around the launch beam and rapidly descend into the
sea. At this position, the tilting beams would exert high concentrated loads
on the stiff bracing levels. These require a launch bracing system specially
designed to distribute and reduce the launch forces. As the jacket hits the
water plane and rapidly descends into the sea, leading jacket braces may
experience high drag and inertial forces.
FIGURE 12.32
Assembly conductor guide to the jacket.
FIGURE 12.31
Fabrication of conductor guide.Overview of Fixed Offshore Structures 511
Crane lifting of the deck or jacket from the transportation barge is another
critical loading condition that requires simulation, analysis, and careful
design. In such lifting operations, deck and jacket members and connections
are loaded in directions different than their in-place loading directions.
Additionally, redundant or shorter/longer lifting sling than planned may
result in substantially different loads than those calculated for idealized conditions, noting that in the case of a four-sling lift, if one sling is shorter than
planned, three instead of four slings may carry the entire deck loads. Such
an unplanned load distribution may also be caused by a CG that is located
somewhere different than calculated. Lifting padeyes and lugs are components with high consequences of failure. A single padeye failure may result
in the loss of the entire deck, jacket, and the crane. Such critical components
and their connections to the structures lifted must be designed for higher
safety factors. Safety factors for four or more against the ultimate capacity
are commonly used for padeyes, their connections to the structure, and the
associated lifting gear.
12.6.6 Lifting Forces
Lifting forces are calculated based on the weight of the structural component being lifted, the number and location of lifting eyes used for the lift,
the angle between each sling and the vertical axis, and the conditions under
which the lift is performed as shown in Figure 12.32. All members and connections of a lifted component must be designed for the forces resulting from
the static equilibrium of the lifted weight and the sling tensions.
The API-RP2A recommends that in order to compensate for any side
movements, lifting eyes and the connections to the supporting structural
FIGURE 12.33
Assembly for topside with facilities.512 Construction Management and Design of Industrial Concrete and Steel Structures
members should be designed for the combined action of the static sling load
and a horizontal force equal to 5% this load, applied perpendicular to the
padeye at the center of the pin hole. All these design forces are applied as
static loads if the lifts are performed in the fabrication yard.
On the other hand, if the lifting derrick or the structure to be lifted is on a
floating vessel, the dynamic load factors should be applied to the static lifting forces. In particular, the API-RP2A recommends for lifts made offshore
two minimum values of dynamic load factors—2.0 and 1.35—for designing
padeyes and all other members transmitting lifting forces, respectively.
According to the API-RP2A, in case of loadouts at sheltered locations, the
corresponding minimum load factors for the above should be 1.5 and 1.15,
respectively.
12.6.7 Loadout Forces
Loadout forces are the loads required to move the jacket from the fabrication yard onto the barge. If the loadout is carried out via direct lifting, there
is no need to design for lifting. In cases where the structure is pulled out,
however, structure analysis needs to be redone to consider these new forces,
a move that could lead to a change in the design (if required), although this
is expected to happen only in few minor cases.
The coefficients of friction for the calculation of skidding forces are:
•	 Steel on steel without lubrication 0.25
•	 Steel on steel with lubrication 0.15
•	 Steel on Teflon 0.10
•	 Teflon on Teflon 0.08
Figure 12.34a and b shows the loadout for the topside.
12.6.8 Transportation Forces
These forces affect the platform jacket and the topside during offshore transport on barges. They depend on the weight, geometry, and support conditions of the structure (by barge or by buoyancy), and also on environmental
conditions that are predicted during the transportation period.
The types of motion affecting the floating structure (in our case, the barge)
and the topside and jacket on the barge are as shown in Figure 12.35.
To minimize the associated risks and secure safe transport from the fabrication yard to the platform site, it is important to plan the operation carefully
by following these recommendations from the API-RP2A:
1. Previous experience along the tow route
2. Exposure time and reliability of predicted “weather windows”Overview of Fixed Offshore Structures 513
3. Accessibility of safe havens
4. Seasonal weather system
5. Appropriate return period for determining design wind, wave, and
current conditions, taking into account characteristics of the tow
such as size, structure, sensitivity, and cost
Transportation forces are generated by the motion of the tow on the structure by the supporting barge. They are determined from the design winds,
waves, and currents. If the structure is self-floating, the loads can be calculated directly. According to the API-RP2A, towing analyses must be based
on the results of model basin tests or appropriate analytical methods, and
(a)
(b)
FIGURE 12.34
(a) Loadout for topside. (b) Loadout for topside.514 Construction Management and Design of Industrial Concrete and Steel Structures
must consider wind and wave directions parallel, perpendicular, and at 45°
to the tow axis.
Inertial loads may be computed from a rigid body analysis of the tow by
combining roll and pitch with heave motions, when the size of the tow, magnitude of the sea state, and experience make such assumptions reasonable.
For open sea conditions, the following may be considered typical design
values:
Single-amplitude roll: 20°
Single-amplitude pitch: 10°
Heave
Pitch
Roll
Sway
Surge
Yaw
FIGURE 12.35
Types of motion of barge or vessel.Overview of Fixed Offshore Structures 515
Period of roll or pitch: 10 s
Heave acceleration: 0.2 g
It is important to calculate the CG of the jacket or the topside before transport
as the location of the structure CG is important to barge stability.
A special computer program or software module for offshore structure
analysis is available to assist in computing the transportation loads in the
F
CG1
CG2
M
Barge
FIGURE 12.36
Launching of jacket on a barge. CG1, jacket center of gravity; CG2, tow center of gravity; M,
metacenter of tow.
FIGURE 12.37
Jacket laid on a barge.516 Construction Management and Design of Industrial Concrete and Steel Structures
FIGURE 12.38
(a) Step 1—launching of jacket. (b) Step 2—launching of jacket. (c) Step 3—laying the jacket on
the sea by floating.Overview of Fixed Offshore Structures 517
FIGURE 12.39
Lifting and installing of jacket.
FIGURE 12.40
Pile installation.518 Construction Management and Design of Industrial Concrete and Steel Structures
structure–barge system and the resulting stresses for any specified environmental condition.
Figure 12.36 presents the CG and load effect on the jacket during launching and transporting of the jacket at sea.
12.6.9 Launching and Upending Forces
These forces are generated during the launch of a jacket from the barge into
the sea and during the subsequent upending into its proper vertical position
to rest on the seabed. The launching of the jacket is shown in Figures 12.37
and 12.38.
(a)
(b)
FIGURE 12.41
(a) Lifting topside offshore. (b) Connection between topside and piles.Overview of Fixed Offshore Structures 519
The loads, static as well as dynamic, induced during the launching of the
jacket and the force required to set the jacket into motion can be evaluated
using appropriate analyses, which also consider the action of wind, waves,
and currents expected during the operation.
Software products are available to perform the stress analyses required
for launching and upending, and also to portray the whole operation
graphically.
As shown in Figure 12.39, the jacket is uplifted towards its location. After
this stage, the piles will be placed into its legs and will be hammered in.
12.6.10 Installation
After the jacket is installed into position, piles are placed into its legs and
the hammering starts until the piles reach the required depth, as shown in
Figure 12.40.
Pile refusal is defined as the minimum rate of penetration beyond which
further advancement of the pile is no longer achievable because of the time
required and the possible damage to the pile or to the hammer. A widely
accepted rate for defining refusal is 300 blows/ft (980 blows/m).
After the pile is installed, the topside is lifted and then installed on the
jacket as shown in Figure 12.41a and b. The final shape of the platform is
shown in Figure 12.42.
FIGURE 12.42
Final shape of platform after construction is completed.520 Construction Management and Design of Industrial Concrete and Steel Structures
References
Graff, W. J. 1981. Introduction to Offshore Structures. Houston, TX: Gulf Publishing
Company.
API RP2A WSD, Recommended Practice for Planning, Designing and Constructing
Fixed Offshore Platforms-Working Stress Design, 2000.
Report for Joint Industry Typical Frame Projects. 1999. Bomel Engineering
Consultants.
AISC Standard 316-89. 1989. Manual of Steel Construction: Allowable Stress Design.
Chicago, IL: AISC. Specification for the Design, Fabrication and Erection of Structural
Steel for Buildings, latest edition.
AWS Structural Welding Code AWS D1.1-88.521
13
Soil Investigation and Pile Design
13.1 Introduction
Site investigation is the first essential operation to be performed in the analysis, design, and choice of a foundation. This process, which is a prerequisite
for an economical construction of civil engineering projects, provides the
necessary information on the geological, physical, and geotechnical properties of soil.
Insufficient information regarding the characteristics and bearing capacity
of the underlying soil and the engineering structure may result in serious
damage or collapse of the structure.
In general, site investigation is conducted:
1. To provide the civil engineer with a reliable and detailed information about soil and groundwater conditions for the selection of the
most efficient and economical type of foundation.
2. To plan for a suitable method of construction and efficient equipment to be used.
3. To investigate whether any harmful subsoil water or organic impurities exists in the soil.
4. To study other conditions that may affect the structure (groundwater level, future excavation, etc.).
Because soil is a very important construction factor in the process by which
civil engineers build structures, it is doubtful if any major civil engineering
project will push through without any site investigation being undertaken.
Soil investigation should provide data on the following items:
1. Location of the groundwater level
2. Bearing capacity of soil
3. Settlement predictions
4. Selection of alternative depths of foundation522 Construction Management and Design of Industrial Concrete and Steel Structures
5. Earth pressure data on retaining structures and excavation supports
6. Necessary data for construction purposes (permeability, stratification, etc.)
13.2 Soil Exploration Methods
Various methods of subsurface investigation are used to obtain information
about the subsoil. These methods include test pits and open cuts, borings
(wash boring, auger boring, rotary, and percussion drilling), soundings, load
tests, and geophysical methods.
Some methods will obviously yield more information than others and the
soil engineer should constantly keep this in mind when planning the exploration program, the purpose of the project, and the relative costs involved.
Two main points, in particular, are to be considered in soil investigation:
1. For large projects, extensive geological studies will be necessary to
determine the type and extent of other methods of investigation;
for smaller projects, some borings and the study of the neighboring
foundation may be sufficient.
2. The type of structure and its sensitivity to future settlement. In many
cases, this study requires a complete change of the statical system of
the superstructure.
The choice of the exploration method is also determined from the location of
the site. For a compacted site in a town where local information is available,
borings and soundings will provide the required data. For new sites, site
survey and geological studies are necessary to determine the program for
soil investigation (Figures 13.1 and 13.2).
13.2.1 Planning the Program
The actual planning of a subsurface exploration program includes some or
all of the following steps:
1. Assembly of all available information (dimensions, columns spacing, type and use of structure, basement requirements, bridge span
and pier loadings, height or retaining structure, etc.).
2. Reconnaissance of the area: This entails a field trip to the site to
examine the topography, type, and behavior of adjacent structures
such as cracks or noticeable settlement, erosion in existing cuts, andSoil Investigation and Pile Design 523
soil stratification; the reconnaissance may also be in the form of a
study of geological maps or aerial photographs.
3. Preliminary site investigation: Few borings or a test pit to establish
the types of soil, stratification, and possibly the location of ground
water table (GWT) (Figure 13.3).
4. Detailed site investigation: For complex projects and/or erratic soil
conditions, samples are collected for shear strength determination
and settlement analysis.
13.2.2 Organization of Fieldwork
After studying the geological data, maps, and photographs, the engineer can
now consider the number, type, and depth of exploratory borings required.
The engineers in charge of soil investigation have to utilize the results as
soon as samples have been extracted and do not have to wait until all borings have been completed; otherwise, doing so would lead to a considerable
waste of resources and efforts (because chances are high that duplicate information has been collected while some data are still lacking).
To obtain the most useful information in a cost-effective fashion, the soil
engineer in charge of the investigation should adhere to the following rules:
1. He must know exactly what type of information the investigation is
expected to provide. This means that he must be completely familiar with the type of construction being planned for the site. If the
investigation concerns a proposed building, he must know the value
and type of loads on the foundation and the evaluation of the lowest floor level in relation to the ground surface. If future extensions
FIGURE 13.1
Soil core.524 Construction Management and Design of Industrial Concrete and Steel Structures
or additional floors are planned, he should know their location and
loads. He should also know if there are social requirements regarding the allowable total or differential settlements.
2. He must write down the minimum requirements for bore hole spacing and depth while taking into consideration the type of structure
and estimated soil condition. The borings should provide sufficient
data to allow reliable soil profiling along two principal axes. The
minimum depth of borings should be related to the extent to which
FIGURE 13.2
Soil rig.Soil Investigation and Pile Design 525
the subsoil will be affected by the proposed construction. This can
be evaluated by using the concept of stress distribution in soils. A useful approximation rule to determine the depth of the investigation is
finding the depth at which the increase in vertical stress caused by
the proposed structure is 10% less of the original vertical stress.
3. For cuttings, retaining walls, and other structures where lateral stability is the main concern, the investigation should extend below
the depth of the deepest possible surface of failure. In soils, the frequency of sampling is usually governed by the maximum allowable
spacing of 1–1.5 m plus the condition(s) under which the sample was
taken. Changes in soil conditions and investigation for dams, reservoir, and landslides require continuous sampling using a special
apparatus.
4. The engineer must select the appropriate drilling and sampling
equipment, with attention to local preferences for certain types of
equipment.
5. The engineer should select the field supervisor and must be able to
lay out boring locations with reasonable accuracy.
13.2.3 Soil Boring Methods
The main purpose of drilling a test hole or boring is to obtain samples from
various strata and to acquire an accurate picture of the subsoil profile at one
location. Different methods of soil boring are available and will be discussed
below.
•	 Test pits and open cuts
This method is ideal for soils requiring little support for excavation.
The test hole is made large enough to permit an observer to descend
to log the soil profile visually, and the succession of strata can be
FIGURE 13.3
Open pit.526 Construction Management and Design of Industrial Concrete and Steel Structures
examined in the wall of the pit. Block samples may be taken from the
excavation sites in cohesive soils for laboratory testing.
Trial pits are generally used for exploration of shallow foundation
(depth of up to 4 m). As depths of pits increase, the cost increases
very rapidly, particularly in water-bearing strata. Trial pits are also
used to explore depth, cables, and other underground public works
and old structures.
•	 Hand and powered augers
Auger drilling is developing as the most common method of soil
exploration to depths of up to 60 m. The speed of operation in
most types of soil is greater compared to other drilling methods.
Distributed samples may be obtained from the soil brought to the
surface and undistributed samples may be taken from the bottom of
the hole at any required depth. Powered auger with large machines
is capable of making borings up to 1.0 m in diameter. In appropriate
soils where no casing is required, the size of the hole can be examined directly as in trial pits.
13.2.3.1 Wash Borings
In this method, the soil is loosened by a high-pressure water jet from a pipe
passing down the borehole. The washings are brought to the surface in the
water that travels upward via the outside of the jet pipe. This method is
cheap and fast. However, the washings are usually disturbed and the samples obtained are used only for identification of soil layers.
13.2.3.2 Sampling Methods
The two methods of sampling are discussed below.
•	 Disturbed samples
There are certain instances when sample disturbance is of little
importance, because only the soil type and stratifications need to
be determined. Disturbed samples are more satisfactory when classification of the soil is the prime objective since they are cheaper and
faster to obtain (wash boring, auger boring). Disturbed samples are
adequate for the investigation of borrowed materials to be used in
fills, highway projects, and other grading works.
•	 Undisturbed samples
Undisturbed samples are necessary for studying soil behavior and
performing laboratory tests under conditions that are nearly similar
to those in the original environment. Shear strength, consolidation,
and permeability tests must be carried out in the laboratory usingSoil Investigation and Pile Design 527
undisturbed samples. The major problems associated with undisturbed samples are:
1. Samples are unloaded of their in situ overburden pressure.
2. Friction of the sites of samplers that creates some disturbance.
3. Samples from levels below GWT may drain during the recovery
process.
4. Changes in bore pressure will disturb the sample.
Undisturbed soil samples are obtained by forcing a thin-walled seamless,
stainless steel sampling cylinder into the soil at the bottom of a bore, or at
the bottom or in the wall of a test pit. The forcing is accomplished by jacking
or a continuous push.
In its simplest and more frequently used form, a thin-walled sampler consists of a 60- to 90-cm-long pipe with a wall thickness of about 1.5 mm and a
diameter of 5 to 8 cm. At one end, a cutting edge is provided, whereas at the
other end the type is attached to an adapter filled with a ball valve and vents.
After samples have been taken, the sampling tube can be detached from the
adapter and the ends are sealed off with wax for transport to the laboratory.
This may be stored or the wax may be removed and the sample extruded for
immediate testing.
13.2.3.3 Spacing of Borings
The spacing of borings cannot be determined with absolute accuracy. They
depend on many factors such as the nature and condition of soil, the shape
and extent of the structure, etc. Furthermore, the spacing of borings should
conform to the importance, size, and system of the structure. The spacing
values shown in Table 13.1 are often used in planning boring work.
13.2.3.4 Boring Depth
The depth explored is generally the depth beyond which the effect of structure load is negligible. It should include all stressed zones of soil involved
in the foundation system and should cover all layers of soil that affect the
TABLE 13.1
Soil Boring Spacing
Structure or Project Spacing or Borings, m
Highway (subgrade survey) 300–600
Earth dams, dikes 30–60
Borrow pits 30–120
Multistory buildings 15–30
Single-story manufacturing plants 30–90528 Construction Management and Design of Industrial Concrete and Steel Structures
settlement of the structure. The depth of boring may be taken as 1.5 times the
breadth of the raft or from 3 to 5 times the breadth of the footing. If the sand
layer is reached, it must be penetrated sufficiently to ensure its continuity.
A better simple rule for structures such as hospitals and office buildings
relates the estimated boring depth, d, to the number of floors.
Light steel or narrow concrete d = 3(s)0.7 m
Heavy steel or wide concrete d = 6(s)0.7 m
where s is the number of floors.
13.2.3.5 Boring Report
A boring report should contain the following:
1. Situation plan of the construction site drawn to scale and oriented
with respect to the north direction.
2. Identification, data, place, location of boreholes and their coordinates
from a reference axis, and drilling equipment used.
3. Description of soil profiles over the full depth of the borehole along
with the classification of soils encountered in each boring. The boring log should be drawn to a stated scale and contain information on
soil types and thickness encountered.
4. Description of the technique used for advancing and stabilizing the
borehole.
5. Location of the groundwater table, the groundwater condition, and
surface drainage observation.
6. Information on any difficulties or obstruction(s) encountered during boring operations (boulders, roots, drains, telephone and electric
cable pipes, old foundation, etc.).
7. Listing of samples obtained and report on any testing of soil in
place.
13.2.4 Standard Penetration Test
The standard penetration test (SPT) is a well-established and unsophisticated method that was developed in the United States about 1925. It has since
undergone refinements with respect to equipment and testing procedure.
The testing procedure varies in different parts of the world.
Therefore, standardization of SPT was essential to facilitate the comparison
of results from different investigations. The equipment is simple, relativelySoil Investigation and Pile Design 529
inexpensive, and rugged. Another advantage is that representative but disturbed soil samples are obtained.
The reliability of the method and the accuracy of the result depend largely
on the experience and care of the engineer on site (Figure 13.4).
A split-barrel sampler is driven from the bottom of a prebored hole into the
soil via a 63.5-kg hammer, dropped freely from a height of 0.76 m. The diameter of the prebored hole varies normally between 60 and 200 mm. If the hole
does not stay open by itself, casing or drilling mud should be used. The sampler is first driven to a depth of 15 cm below the bottom of the prebored hole,
then the number of blows required to drive the sampler another 30 cm into
the soil, the so-called N30 count, is recorded. The rods used for driving the
sampler should have sufficient stiffness. Normally, when sampling is carried
out to depths greater than about 15 m, 54-mm rods are used.
The quality of test results depends on several factors: actual energy delivered to the head of the drill rod, dynamic properties (impedance) of the drill
FIGURE 13.4
Rig for the standard penetration test.530 Construction Management and Design of Industrial Concrete and Steel Structures
rod, method of drilling, and borehole stabilization. The actually delivered
energy can vary between 50% and 80% of the theoretical free-fall energy.
Therefore, correction factors for rod energy (60%) are commonly used (Seed
and De Alba, 1986). The SPT can be difficult to perform in loose sands and
silts below the groundwater level (typical for land reclamation projects), as
the borehole can collapse and disturb the soil to be tested. The following
factors can affect the test results: nature of the drilling fluid in the borehole, diameter of the borehole, configuration of the sampling spoon, and frequency of delivery of the hammer blows.
Therefore, it should be noted that drilling and stabilization of the borehole
must be carried out with care. The measured N value (blows/0.3 m) is the socalled standard penetration resistance of the soil. Penetration resistance is
influenced by the stress conditions at the depth of the test. Peck et al. (1974)
proposed, based on settlement observations of footings, the following relationship for the correction of confinement pressure. The measured N value is to be
multiplied by a correction factor CN to obtain a reference value, N1, corresponding to an effective overburden stress of 1 ton/ft2 (approximately 107 kPa)
N1 = N ⋅ CN (13.1)
CN = 0.77 ⋅ log 10(20/p) (13.2)
where CN is a stress correction factor and p' is the effective vertical overburden pressure. SPT is performed based on ASTM D1586-08a.
13.2.5 Cone Penetration Tests
The cone penetration test (CPT) was invented and developed in Europe but
has gained increasing importance in other parts of the world, especially in
connection with soil compaction projects. Different types of mechanical and
electric cone penetrometers exist but the electric cone is the most widely
used. A steel rod with a conical tip (apex angle of 60° and a diameter of
35.7 mm) is pushed at a rate of 2 cm/s into the soil. The steel rod has the same
diameter as the cone.
The penetration resistance at the tip and along a section of the shaft (friction sleeve) is measured. The friction sleeve is located immediately above the
cone and has a surface area of 15,000 mm2. The electric CPT is provided with
transducers to record the cone resistance and the local friction sleeve.
A CPT probe equipped with a pore water pressure sensor is called CPTU. It
is important to ensure a complete saturation of the filter ring of the pore water
(piezo) element. Otherwise, the response of the piezo transducer, which registers the variation in pore water pressure during penetration, will be slow
and may give erroneous results. The CPTU offers the possibility to determine
hydraulic soil properties (such as hydraulic conductivity—permeability) but
is most widely used for identification of soil types and soil stratification.Soil Investigation and Pile Design 531
The CPT can also be equipped with other types of sensors, for example,
vibration sensors (accelerometer or geophone) for determination of vibration acceleration or velocity. The “seismic cone” is not yet used on a routine
basis but has, because of the relative simplicity of the test, potential for wider
applications especially in soil compaction projects.
The CPT is standardized and follow ASTM D3441-05 and the measurements are less operator- dependent than those of the SPT, thus giving more
reproducible results.
The CPT measures the cone resistance (qc) and the sleeve friction ( fs) from
which the friction ratio, FR, can be determined. FR is the ratio between the
local sleeve friction and the cone resistance (fs/qc), expressed as a percentage.
In spite of the limited accuracy of sleeve friction measurements, the valuable
information, which can be obtained in connection with compaction projects,
has not yet been fully appreciated. As will be discussed below, the sleeve
friction measurement reflects the variation in lateral earth pressure in the
ground and can be used to investigate the effect of soil compaction on the
state of stress, as will be discussed later. Cone and sleeve friction measurements are also strongly affected by the effective overburden pressure. It is
necessary to take this effect into account, similar to the SPT.
One important objective of the CPT investigations in connection with soil
compaction is to obtain information concerning soil stratification and variation in soil properties both in horizontal and vertical directions. The friction
ratio is often used as an indicator of soil type (grain size) and can provide
valuable information when evaluating alternative compaction methods.
Measurement of the excess pore water pressure with the CPTU can detect
layers and seams of fine-grained materials (silt and clay). It is also possible
to obtain more detailed information concerning soil permeability and thus,
soil stratification.
13.2.6 Vane Test
Vane shear testing is one of the most common in situ methods for the estimation of the undrained shear strength of the soil.
Figure 13.5 illustrates the vane shear tip used in the tests. The tip has a
diameter of 75 mm and a height of 112 mm. Typically, the height-to-diameter
ratio should be equal to 2.
The vane is introduced into the borehole at the depth where the measurement of the undrained shear strength is required. Then it is rotated and the
torsion force required to cause shearing is calculated. In Figure 13.6, a manual vane shear is shown. The blade is rotated at a specified rate that should
not exceed 0.1°/s (practically 1° every 10 s). The amount of rotation is specified
in the green arrow, whereas the red arrow has a device that measures the
required torque. The procedure and the equipment typically should follow
the procedures suggested by the ASTM D2573-72.532 Construction Management and Design of Industrial Concrete and Steel Structures
The shear strength of the material is calculated from the torque by dividing by a constant K, which depends on the dimensions and the shape of the
vane. More can be found in ASTM D 2573-72.
The results of the corrected vane shear strength measured in situ are shown
in the following plot. The plot is shear strength (corrected) versus time,
and the test was performed in a rate of 1° per 10 s. The peak shear strength
and the residual strength can be seen in the plot. After the test was completed,
the vane was rotated twice and then the residual strength was measured.
13.2.7 Cross-Hole Test
For very critical projects such as new facilities with large storage tanks, the
phenomenon of the soil through extensive depths is important in making an
engineering decision.
FIGURE 13.5
Cone penetration test.Soil Investigation and Pile Design 533
This test is important in defining the wave propagation through soil depth,
critical information especially in earthquake-prone regions.
The objective of this test is to estimate the profile of the seismic velocity of
longitudinal and transversal waves along boreholes at the selected location
using the cross-hole seismic technique. This test consists of two boreholes
95 m deep and drilled using rotary drilling. The borehole will be cased with
97.6-mm-diameter PVC pipes to accommodate the source and the receiver
probes. The boreholes are spaced about 5 m from center to center at the
ground surface.
The inclination of the two boreholes will be measured using an inclinometer setup. The coordinates obtained from the inclinometer readings are then
used to accurately calculate the distance between the two boreholes at 1.0-m
depth intervals starting at the ground surface and down to the end of the
boreholes.
The raw data obtained from the cross-hole survey are the travel times of the
compression, P, and shear, S, waves from the source hole, T, and the receiver
hole, R, as shown in Figure 13.7. The travel times of the seismic waves are
derived from the first arrivals identified on the seismic trace for each T and R
FIGURE 13.6
Vane test.534 Construction Management and Design of Industrial Concrete and Steel Structures
position with the known distance to calculate the apparent velocities P and
S for each depth interval.
The instrumentation and data acquisition consists of a probe, a control
unit, and a cable with cable reel. The probe is characterized by a reliable
clamping system, obtained through the progressive bending of a harmonic
steel spring inside the probe. There is a continuous current motor, controlled
via surface electronics, which moves the piston inside the probe, controlling
the bending of the spring, and providing for the clamping and unclamping operations. Inside the probe there are three 10-Hz geophones, oriented
along the x–y–z axis, which determine the arrival time of seismic waves of
type S.
A specially designed down hole hammer that fits through the 10-mm casing will be used as the transmitting source. The hammer has gripper plates
that expand out to make firm contact with the inside of the casing. The hammer operation is pneumatic and electronic.
The equipment for the cross-hole test has many design features that facilitate accurate shear wave velocity measurements in accordance with the
procedures described in ASTM D4428/D4428M-91 for cross-hole seismic
testing.
The velocity of propagation of stress waves through infinitive media is a
function of the material properties of the media, and depends on the elastic
modulus of the material, Poisson ratio, and the material density.
Transmitting
station (T)
Receiving
station (R)
Data acquisition unit
FIGURE 13.7
Schematic of cross-hole test setup.Soil Investigation and Pile Design 535
13.2.7.1 Body Waves
These waves can be primary (P) waves. A primary wave is a longitudinal
wave in which the direction of the motion of particles is in the direction of
propagation. This motion is nonrotational and the wave is one of dilation -
propagated speed.
Body waves can also be secondary or shear (S) waves. This is a transverse
wave in which the direction of motion of particles is perpendicular to the
direction of propagation.
Compressive waves are the fastest, followed by the shear waves, and subsequently followed by various types of waves. A fluid such as pore water
does not transmit shear waves. Accordingly, in soil, shear waves are conducted through the soil skeleton only.
13.2.7.2 Surfaces Waves
In a uniform, infinite medium, only P and S waves appear. If the medium is
bounded or nonuniform, such as surface soils, other simple types of waves
may appear. The most important are the surface waves that are propagated
near the surface of a solid. Surface waves have depths of penetration depending on their wavelength. In nonuniform media, surface waves travel at a
velocity that depends on their frequency.
13.3 Deep Foundation
Pile foundation is the most common type of deep foundations used to transmit the structural loads into the deeper layers of firm soil in such a way
that these layers of soil or rock can sustain the loads. A pile foundation, in
general, is more expensive than an ordinary shallow foundation, and is used
where the soil at or near the surface is of poor bearing capacity or settlement
problems are anticipated.
The main functions of piles are:
1. To carry more load from the superstructure to the lower, more resistant soil strata, thus increasing the load capacity of the site.
2. To reduce the settlements to the minimum value and consequently
the differential settlements. They are most effective in sensitive
structures, which by virtue of their sensitive structural statical system, cannot undergo appreciable differential settlements.
3. To avoid excavation under water for sites where GWT is high. This
may represent an expensive item in the cost of the foundation and
may also cause reduction in strength of certain soils.536 Construction Management and Design of Industrial Concrete and Steel Structures
4. To densify the soil by driving compaction piles in loose cohesionless
soil deposits.
In general, piles are made of timber, steel, concrete, or a combination of these
materials.
Technically, from the design point of view, there are two types of piles:
end-bearing piles and friction piles. These two types have advantages and
disadvantages.
Figure 13.8 presents an end-bearing pile, where most of the load is transferred to the rock layer by the end bearing of the pile. Thus, most of the load
will be taken by its base and the rest of the load is taken by the section friction. The skin friction along the system of the pile can be negligible and the
bearing capacity of the pile is derived only from the point bearing resistance
of the soil under the pile tip.
To obtain the full benefit of the ultimate strength of the firm layer under
the pile tip, the pile should penetrate the bearing stratum to a depth at least
three times the pile diameter.
Figure 13.9 shows friction piles that transfer their loads to the surrounding
soil by friction developed along their sides.
If the pile penetrates a clay layer, the skin friction is equal to the cohesion,
C, of that layer. For granular materials, the skin friction is proportional to
the intensity of earth pressure and can be considered to vary linearly with
enough accuracy.
There are different types of piles used and the differences between them
depend on the material and manner of execution.
PILES SOFT SOIL
ROCK
FIGURE 13.8
End-bearing pile.Soil Investigation and Pile Design 537
13.3.1 Timber Piles
These piles, which are widely used in woody countries, are made of tree
trunks of good quality and are of appreciable sizes (not less than 300 mm in
diameter), as shown in Figures 13.10 and 13.11. After the timber pile is driven
into the ground, the top end should be cut off in a square shape, so that
the foundation is in contact with solid wood. If a timber pile is subjected to
alternate wetting and drying, it should be treated with a wood preservative
to increase its useful life. Timber piles can safely carry loads between 15 and
PILES SOFT SOIL
FIGURE 13.9
Friction pile.
FIGURE 13.10
Preparation of wood piles.538 Construction Management and Design of Industrial Concrete and Steel Structures
25 tons under the usual conditions. They are relatively low cost and easy to
handle.
13.3.2 Steel Piles
These are usually rolled sections of H-shaped steel pipes. Wide-flange and I
beams may also be used.
Splices in steel piles are made in the same manner as in steel columns,
that is, by welding, riveting, or bolting. Pipe piles are either welded pipes
or seamless-steel pipes, which may be driven either open-ended or closedended. Pipe piles are usually used on offshore structure platforms.
13.3.3 Concrete Piles
These types of piles consist of two methods of construction: cast-in-place
piles and precast concrete piles.
•	 Cast-in-place piles
These piles are formed by making a hole in the ground and filling
it with concrete. They may be drilled or formed by driving a shell.
The steel piles shown in Figures 13.12 and 13.13 are driven into the
ground to make a hole, which will later be filled with concrete.
•	 Precast concrete piles
The steel shell is usually withdrawn during or after pouring of concrete and is sometimes left to protect the concrete from mixing with
the mud or to prevent the cement from being washed away by the
groundwater.
FIGURE 13.11
Wood pile with steel cap.Soil Investigation and Pile Design 539
13.3.4 Precast and Prestressed Piles
Piles are formed to specified lengths, cured, and then shipped to the construction site. A primary consideration with precast piles is the handling
stress. To cope with handling stresses, some of which are tensile, piles are
reinforced and in some cases prestressed.
Precast reinforced concrete piles may have square or octagonal cross
sections. They should be adequately reinforced to withstand driving and
handling stresses. Long precast piles should be driven with care to prevent
buckling during the operation. To overcome the driving stresses, lateral steel
reinforcements should be closely spaced at the top and bottom of the pile to
resist the stress wave concentration at the ends of the driven pile.
FIGURE 13.12
Steel pile with cone tip.
FIGURE 13.13
Raymond shell piles.540 Construction Management and Design of Industrial Concrete and Steel Structures
To deal with bending moments due to handling, a relatively short pile (less
than 12.0 m) is usually lifted from one end and is treated as a beam carrying
its own weight. Longer piles should be lifted from two, three, or four points
at the specified distances indicated in Figure 13.14 in order to reduce the
bending stresses to a minimum. Lifting points should be marked by hooks
or bolts, which will be removed later.
Special care should be given to ensure that concrete piles will remain
intact and to prevent soil from attacking the pile (Figure 13.15). First of all, it
is necessary to use siliceous aggregates and rich cement content (350 kg of
cement per cubic meter of finished concrete) (Figure 13.16). In addition, concrete piles must be protected from dissolved sulfates or chemicals present in
Size
Continuous
Tie
Prestressing
Strand* Square
Solid
Square
Hollow
Octagonal
Solid or Hollow
Size
Core
Diameter
Size
Typical
Sizes
10–20
in
10–24
in
20– 36
inch
11–18
in void
11–15
in void
FIGURE 13.14
Prestressed pile sections.
FIGURE 13.15
Lifting of the concrete pile.Soil Investigation and Pile Design 541
the underground water. If the ratio of sulfur trioxide (SO3) in the soil water
exceeds 0.03% (300 m g/L) in stagnant water, or 0.015% in running water,
and if in addition the ratio of SO3 in the soil itself is 0.2%, ordinary Portland
cement should not be used. In such cases, special sulphate-resisting cements
should be used. In all cements used, the presence of free lime or calcium
traces should be minimized as much as possible.
Table 13.2 shows the summary of the comparison between different types
of piles.
13.3.5 Pile Caps
Pile caps are a type of foundation that are affected by column loads from
above and the piles’ reaction at the point of contact between the piles to the
caps (Figure 13.17). In this type of foundation, ignore the impact of the soil
where soils are not contact with the caps in a rigid or flexible manner to
allow them to carry any part of the column load and the stiffness of the piles
is so high that the piles carry all the loads.
Often, the column load cannot be carried by one pile alone so the column
needs more than one pile to carry the load, thereby requiring a pile cap to
distribute the column load equally. This can be done by making the center of
gravity of the column coincide with the center of gravity of the pile cap.
To ensure the transfer of load from the column to the pile, the pile steel
reinforcement should extend inside the pile cap by at least 600 mm.
The pile caps are designed as a rigid foundation; for piles carrying part of
the column load, the pile cap thickness should be able to resist the punching
stresses and the tension at the top and bottom.
FIGURE 13.16
Composite section piles.542 Construction Management and Design of Industrial Concrete and Steel Structures
TABLE 13.2
Typical Use and Characteristics of Piles fc′
Characteristic
Pile Type
Concrete-Filled Steel
Pipe Piles Composite Piles
Precast Concrete
(Including Prestressed)
Cast in Place (Thin Shell
Driven with Mandrel)
Maximum length Practically unlimited 55 m 30 m for precast
60 m for prestressed
30 m for straight section,
12 m for tapered section
Optimum length 12–36 m 18–36 m 12–15 m precast
18–30 m prestressed
12–18 m for straight section
5–12 m for tapered section
Application material
specifications
ASTM A36 for core
ASTM A252 for pipe
ACI 318 for concrete
ASTM A36 for core
ASTM A252 for
pipe
ACI 318 for
concrete
ASTM D25 for
timber
ASTM A15 for
reinforcing steel
ASTM A82 for cold
drawn wire
ACI 318 for concrete
ACI
Recommended
maximum stress
0.4 fy reinforcement,
0.5 fy or core 0.33 fc′
for concrete
Same 0.33 fc′, 0.5 fy for
reinforcement unless
prestressed
0.4 fy if steel gauge = 14,
0.35 fy if shell thickness =
3 mm
Maximum load for
usual conditions
1800 kN with cores
18,000 kN for large
sections with steel
core
1800 kN 8500 kN for prestressed,
900 kN for precast
675 kN
Optimum load range 700–1100 kN with
cores
4500–14,000 kN with
cores
250–725 kN 350–3500 kN 250–550 kNSoil Investigation and Pile Design 543
References
ASTM D1586-08a Standard Test Method for Standard Penetration Test (SPT) and
Split-Barrel Sampling of Soils.
ASTM D3441-05 Standard Test Method for Mechanical Cone Penetration Tests of
Soil.
ASTM D2573-08 Standard Test Method for Field Vane Shear Test in Cohesive Soil.
ASTM D4428/D4428M-07 Standard Test Methods for Cross Hole Seismic Testing.
Seed, H. B., and P. De Alba. 1986. Use of SPT and CPT tests for evaluating the liquefaction resistance of sands. Proceedings, In Situ ’86, ASCE, pp. 281–302.
Peck, R. B., W. E. Hanson, and T. H. Thornburn. 1996. Foundation Engineering, 2nd edition. New York, NY: John Wiley and Sons.
Pile Cap
Column
Piles
Piles
Elevation
Plan
FIGURE 13.17
Sketch of pile cap.545
Index
1-foot method 171–172
A
activity, definitions 23
ahead of schedule, S curve 53–54
allowable stress design 123–124
anchor bolts
bolt projection 326–327
choice of type 325
coatings and corrosion 324–325
design considerations 333
edge distance 327–328
embedment depth 328
heat exchanger example 218
materials and properties 321
plate design 324
pretensioning 334
separator example 238
sleeves 322–323
static equipment foundations 206
strength design 330–331
allowable strength 331–332
required embedment length
332–333
ultimate strength 331
vertical vessel example 254
vertical vessels 242–243, 328–330
washers 321–322
anodic inhibitors 378–379
see also impressed current anodic
protection
appraise phase 11
see also feasibility study
arrow diagrams 31–32
assessment of existing structures
337–338
case studies
administration building near the
Red Sea 369–370
administration building vibration
near reciprocating gas lift
compressors 372–373
cracks in foundations of plant
near Mediterranean Sea 373
cracks on ring beam around steel
tanks carrying oil 370–372
detailed inspection 346–347
methods 347–348
preliminary inspection 338
data collection 338–340
visual inspection 340–346
structural assessment 373–374
audits, design management 16
auxiliary platforms 463
B
basis of design document 13
behind schedule, S curve 53–54
block-type foundations 129
bolts 305–309
see also anchor bolts
brainstorming sessions 24
bundle pull loads 117–118
heat exchangers 202
example 216
C
cable trays, on pipe racks, loads
presented by 76
calcium nitrate 378–379
capital cost (CAPEX) 433
cash flow 55–56
impact of increasing costs 57
impact of operation efficiency 58–59
impact of project delays 58
over project lifetime 56–57
cast-in anchors 321
cast-in-place piles 538
cathodic inhibitors 379–380
cathodic protection 391–393
anode system 394
for bridge decks 395
vertical surfaces 395–396546 Index
cathodic protection (continued)
applications 390–391
by surface painting 389–390
comparison with other methods
398–399
components 393–394
conductive layer 396
for prestressed concrete 399
impact on bond strength 400–401
monitoring 397–398
precaution in anode design 396–397
source of impressed current 394
catwalks 464
change management 17
commissioning and start-up stage 17–18
communication, importance of 7
composite section piles 541
Computer Aided Design (CAD)
software 16
concrete compressive strength tests 340
concrete cover measurements 361–363
concrete failure, sources of 359–360
concrete gravity platforms 464–465
concrete piles 538
concrete storage-tanks 153–154
circular 158–160
rectangular 155
pump room example 155–158
concrete testing 348
comparison between different tests
358–359
inherent variations in in-situ
strength 357–358
see also core testing; rebound
hammer testing; ultrasonic
pulse velocity testing
concurrent activities, definitions 23
conductor shielding factor 479
cone penetration test (CPT) 530–531
control-cost estimates 42
core testing 348–349
core size 349–351
sample preparation 351–352
corrosion inhibitors 378
see also anodic inhibitors; cathodic
inhibitors; epoxy coating;
galvanization; repairs and
retrofits, scheduling, time until
corrosion; stainless steel use
corrosion protection
for concrete surfaces 387
coatings 388
pore blocking 389
pore lining 388
sealers and membranes 387–388
for foundations 377–378
see also cathodic protection
cost account (CA) 49
cost calculation 432–433
cost control 50–52
cost curve (S curve) 52–55
cost estimates 39–40
and project control 46
construction costs 42
detailed cost 46
economic analysis 47–55
ready-mix concrete 43
reinforced concrete 43–44
steel structures 44–45
tendering 46
cost index (CI) 52
cost management, types of costs 41–42
cracks
from chemical reaction 346
from thermal stresses 345–346
visual inspection of existing
structures 340–341
see also drying shrinkage; plastic
shrinkage cracking; repairs
and retrofits, removal of
concrete cracks; settlement
cracking
crane supports 304
crane track girder design example
288–290
critical equipment 384
Critical Path Method (CPM) 21–22, 33–34
cross-hole test 532–535
D
dead loads 68
material densities 69–74
nomenclature 68, 74–75
design management 16
detail engineering phase 14–15
direct costs 47
discount rate 433Index 547
drilling platforms 462
drying shrinkage 344–345
E
earthquake loads 103, 109
architectural, mechanical and
electrical components systems
104–107
mechanical and electrical
component period 104
boiler or pressure vessels 109
design review 115–116
design spectral response acceleration
parameters 104
fixed offshore structures 480
heat exchanger example 215–216
HVAC ductwork 107–108
nonbuilding structures 109–110
design basis 110–112
rigid structures 112–114
piping systems 108–109
piping attachments 114–115
steel storage-tanks, ring beam design
191
elevated pedestal foundations 129
epoxy coating 380–382
estimating
activity times 28–29
calculation of 30
execution phase 17
F
feasibility study 10–11
FEED (Front-End Engineering and
Design) phase 11–14
fiber-reinforced polymer (FRP) 385
fixed anodes 391, 393
fixed offshore structures 461–462
boat landings 495–496
collision force calculation 496–501
bracing systems 485–488
construction procedure 468–470,
501–505
engineering oversight of
execution 505–506
fabrication 506
joints 506–507
installation 519
jacket assembly 507–508
jacket erection 508
launch loads 510–511
launching and upending forces
518–519
lifting loads 511–512
loadout forces 512
transport forces 512–518
transport loads 509–510
current loads 479
design 470, 483
approximate dimensions 484
quality control 501
dynamic structure analyses 489–491
earthquake loads 480
fatigue analysis 493–495
gravity loads 470–472
impact loads 472
in-place structure analyses 488–489
jackets 482, 484–485
assembly 507–508
erection 508
marine growth 480–481
platform configuration 482
scour 481
topside structures 482, 484
tubular joints 491
allowable joint capacity 493
complexity 505–506
punching failure 493
punching shear 491–493
types of platforms 462
wave loads 475–479
wind loads 472–475, 479
flare jackets 463
flare towers 463
float 33
floating production, storage, and
offloading (FPSO) vessels 465,
467
flow of money 55
see also cash flow
foundations
for static equipment 199
anchor bolts 206
bottom reinforcement 210–211
design procedure 199
bundle pull loads 202548 Index
foundations (continued)
dead loads 199–201
earthquake loads 201–202
live loads 201
load combinations 206
thermal forces 202–206
wind loads 201
footing design 209–210
heat exchanger example
anchor bolt design 218
design criteria 214
footing design 230–233
footing size 221–230
heat exchanger data 214
loads calculation 215–217
pier design 218–221
pier size 218
steel slide plate size 217
pier design 208
anchorage considerations 208
reinforcement 208–209
pipe support 259–263
separator example
anchor bolt design 238
design criteria 234–235
footing design 238
loads calculation 235–236
pier design 238
pier size 237
separator data 233
steel bearing plate size 237
steel slide plate size 236–237
slide plates 206–208
top reinforcement 211–214
vertical vessel example
anchor bolt check 255–256
anchor bolts 254
bottom reinforcement 258–259
footing design 256–257
pedestal design 254–255
pedestal reinforcement 255
vertical vessel data 253
wind load 254
vertical vessels 238
anchor bolts 242–243, 328–330
combination loads 240–241
dead loads 238–239
earthquake loads 240
footing design 244
live loads 239
pedestal design 241–243
reinforced concrete design
250–251
shear consideration 251–252
sliding check 250
soil bearing on octagon footing
244–249
stability check 249–250
thermal loads 240
top reinforcement 251
wind loads 239–240
for vibrating equipment 129
design checklist 151
design guidelines 130
centrifugal machine example
137–140
foundation dynamic analysis
132–134
machine skid support example
145–146
reciprocating machine example
140–145
soil parameter 134–137
trial foundation sizing 130–131
grouting 149–151
inertia block/pad bolt installation
148–149
isolating liners 147
required machine data 129–130
spring and rubber mounts 147–148
vibration isolation 146–147
see also corrosion protection, for
foundations
frangible roofs, steel storage-tanks 176–177
friction loads 117
fully-tight bolts 306
G
galvanization 382–384
Gantt charts 21, 32–33
Gantt, Henry L. 21
glass fiber reinforced polymer (GFRP)
reinforcement bars 385–387
ground-supported storage tanks 153
combination loads 126
live load of roof 77
loads presented by 77Index 549
retaining walls 161–162
check of stability against
overturning 162–163
check of stability against sliding 164
check of stability against soilbearing capacity 164–167
preliminary dimensions 162
see also concrete storage-tanks
gust effect factor 79–80
H
handrails 304
heat exchangers
bundle pull loads 202
foundations
design example
anchor bolt design 218
design criteria 214
footing design 230–233
footing size 221–230
heat exchanger data 214
loads calculation 215–217
pier design 218–221
pier size 218
steel slide plate size 217
test dead load 200
heliports 464
horizontal vessels, test dead load 200
hurricanes 461–462
I
ice loads 118
freezing rain 119–120
site-specific studies 118–119
wind on ice-covered structures 120
impact loads 116
impact wrenches 306
impressed current anodic protection 391
indirect costs 47
industrial projects, special nature of 1–3
infrared testing, disadvantages of 361
inspection strategies 439–440
K
key stage owners (KSO) 27
key stages, identification of 24
L
lag time 31
live loads 77–78
load resistance factor design 124–125
loads 67
combinations 120–125
ground-supported storage tanks
126
heat exchangers and horizontal
vessels 125
pipe racks 126
test loads 126–127
vertical vessels 125
ground-supported storage tanks 77
pipe racks 75–76
see also bundle pull loads; dead
loads; earthquake loads; ice
loads; impact loads; live loads;
thermal loads; wind loads
M
maintenance philosophies 431
maintenance plan 442–445
economic study 431–432
expected total cost 441–442
optimization 442–444
responsibilities 445
see also risk-based inspection (RBI)
management of the change document 17
minimum live load 68, 77
see also minimum live load
Morison equation 478
N
natural frequency, refinery piping
260–261
net cash flow 55
nodes 31
noncritical paths 34
O
OBS/WBS matrix 48–49
operating cost (OPEX) 433
organization breakdown structure
(OBS) 48550 Index
P
performance rates 30
petroleum projects, time-driven nature
of 6
pile caps 541, 543
piles 535–537, 542
see also concrete piles; steel piles;
timber piles
pipe racks
combination loads 126
design 295–296
example 298–302
superstructures 296
provision for steel expansion
297–298
foundations 259–263
loads presented by 75–76
wind loads 81–84
examples 89–94, 94–97
piping systems
earthquake loads 108–109
piping attachments 114–115
steel storage-tanks 185
planner engineer 13
plastic shrinkage cracking 341–343
post-installed anchors 321
precast concrete piles 538–541
precedence diagrams 32
predictive maintenance 431
preliminary engineering phase see
FEED (Front-End Engineering
and Design) phase
present value 433
prestressed piles 539–541
pretensioned anchor bolts 321
preventive maintenance 431
proactive maintenance 431
process risks 59
production platforms 463
Program Evaluation and Review
Technique (PERT) 21–22,
34–35
applications for 36–39
example 35–36
project characteristics 5–8
project drivers 6–7
project evaluation 18
project life cycle 8–10
project management
distinction from operations
management 5
skills required 20
tasks involved 18–19
project planning 20–22
planning-team responsibilities 27–28
where to start 23–26
who makes the plan 22–23
see also work breakdown structure
project risks 59–61
Q
qualitative risk assessment 64–66, 445
quality assurance
and project size 8
detail engineering phase 14–15
quality control, of received materials 17
quantitative risk assessment 62–64, 445
quarters platforms 463
R
Raymond shell piles 539
ready-mix concrete, cost estimates 43
rebound hammer testing 353–354
reinforced concrete
cost estimates 43–44
steel quantities guide 44
repairs and retrofits 403–404, 427–428
carbon fiber–reinforced polymer
(CFRP) 425–427
casting concrete on site 415–416
complete member casting 417–418
cement mortar 415
cleaning concrete surfaces 410–411
cleaning steel reinforcement bars
411–413
execution methods 415
fiber-reinforced polymer (FRP)
423–425
inspection and repair strategy
439–440
manual repairs 415
new methods for strengthening
concrete structures 418–420
new patches of concrete 414
polymer mortar 414–415Index 551
procedure 404–405, 418
removal of concrete cracks 406–408
hammer and chisel 408
pneumatic hammers 408–409
water jets 409
scheduling 433–435
capacity loss in reinforced
concrete sections 435–437
time until corrosion 437–438
time until deterioration 438–439
shotcrete 416–417
strengthening the structure 405
use of steel sections 420–423
risk, calculation of costs of 41–42
risk assessment 61–62, 445–449
see also qualitative risk assessment;
quantitative risk assessment
risk-based inspection (RBI)
maintenance plan 449–451
for offshore structures 451–452
consequence calculation 455–457
inspection planning 457–458
likelihood calculation 453–455
risk matrices 452–453
methodology 431–432, 445
risk management 59
S
S curve (cost curve) 52–55
sacrificial anodes 391, 392
sacrificial protection 392–393
schedule index (SI) 51
scour, fixed offshore structures 481
seismic loads see earthquake loads
select phase 12
see also FEED (Front-End Engineering
and Design) phase
self-contained platforms 463
series activities, definitions 23
settlement cracking 343–344
shear lugs 321
sinusoidal progressive curve 473
slenderness ratio 268–270
slide plates, static equipment
foundations 206–208
snug-tight bolts 306–309
soil investigation 521–522
boring depth 527–528
boring methods 525–526
boring report 528
boring spacing 527
cone penetration test (CPT) 530–531
cross-hole test 532–535
methods 522
organization of fieldwork 523–525
planning 522–523
sampling methods 526–527
standard penetration test (SPT)
528–530
vane shear testing 531–532
spud wrenches 306
stainless steel use 384–385
stair treads, live loads 77
stairways
handrails and railings 304
OSHA General Industry
Requirements 302–303
standard penetration test (SPT) 528–530
statement of requirement (SOR)
document 12–13
steel, stress–strain behavior 265–266
steel in concrete, corrosion testing
carbonation depth measurement 367
chlorides test 367–369
concrete cover measurements
361–363
electrical resistivity measurement
365–367
half-cell potential measurements
363–365
manual 360–361
steel piles 538
steel storage-tanks 167
bottom plates 168–169
annular 169–170
differential settlement tanks
186–187
capacity 167–168
design loads 180–181
combinations 182
piping flexibility 185
ring beam design 187–190
concrete ring beams 193
earthquake stability 191
floating-roof tank example 196
ring wall reinforcement 194–196
soil bearing-capacity 191–192552 Index
steel storage-tanks (continued)
soil pressure and uplift 192–193
wind stability 191
roof systems 175–177
allowable stress 177
self-supporting cone roofs 179
self-supporting dome and
umbrella roofs 179–180
supported cone roofs 177–179
shell design 170–171
allowable stress 171
calculation of thickness by 1-foot
method 171–172
calculation of thickness by
variable-design-point method
172–175
small tanks 182–185, 187
steel structures 265
beam column members
Allowable Stress Design (ASD)
290–292
example frame design with side
sway 293
example frame design without
side sway 294–295
load resistance force design
(LRFD) 292
beam design 281–283
allowable deflection 285–286
crane track girder example
288–290
lateral torsional buckling (LTB)
283–285
shopping center floor example
286–288
compression members 271–276
Allowable Stress Design (ASD)
example 276
load resistance force design
(LRFD) example 276
connections 304–305
base plate design 320
example 320–321
example bracing connection
design 314–320
see also bolts; welds
cost estimates 44–45
design procedure 266–267
tension members 267–268
Allowable Stress Design (ASD)
example 270–271
load resistance force design
(LRFD) example 271
Stokes equations 476–477
storage tanks see ground-supported
storage tanks
stream function theory 476
structural redundancy 446–449
subcritical paths 34
success criteria 18
T
task, definitions 23
task volume 28
tender platforms 462–463
tension leg platforms (TLP) 461, 467–468
thermal loads 116–117
foundations
for static equipment
design procedure 202–206
vertical vessels 240
heat exchanger example 216–217
separator example 236
timber piles 537–538
time-driven projects, examples of 6
time schedules, preparation 30–31
trial pits 526
U
ultrasonic pulse velocity testing 354–357
V
vane shear testing 531–532
variable-design-point method 172–175
W
wash borings 526
wave loads, fixed offshore structures
475–479
WBS/OBS matrix 48–49
welds 305, 309
example 311–313Index 553
stainless steel 385
strength 311
symbols 309–310
to existing structures 313
well jackets 462
well protector platforms 462
wind directionality factor 81
wind loads 78
basic formula 78–81
fixed offshore structures 472–475, 479
foundations
for static equipment
design procedure 201
vertical vessels 239–240
heat exchanger example 215
on ice-covered structures 120
open-frame structures 84–85
design load cases 86–87
examples 97–102
open-frame load 85–86
partial wind load 87–88
pipe racks 81–84
examples 89–94, 94–97
separator example 236
vertical vessel example 254
within schedule, S curve 53–54
work breakdown structure (WBS) 26–27,
47–48
work packages 48–50
working day, inclusion in estimates 29

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