Reinforced Concrete Design Theory and Examples

540 Pages·2009·8.26 MB·English

Page i
Reinforced Concrete
Design Theory and Examples
Page ii
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Page iii
Reinforced Concrete
Design Theory and Examples
Second edition

T.J.MACGINLEY
Formerly of Nanyang Technological Institute, Singapore
B.S.CHOO
Nottingham University, UK
Chapter 14, Tall Buildings, contributed by
Dr J.C.D.Hoenderkamp, formerly of Nanyang
Technological Institute, Singapore

London & New York
Page iv
First published by E & FN Spon
First edition 1978
Second edition 1990

Spon Press is an imprint of the Taylor & Francis Group
This edition published in the Taylor & Francis e-Library, 2003.
© 1978 T.J.MacGinley; 1990 T.J.MacGinley and B.S.Choo

ISBN 0-203-47299-3 Master e-book ISBN
ISBN 0-203-24048-0 (OEB Format)
ISBN 0 419 13830 7 (Print Edition)

Apart from any fair dealing for the purposes of research or private study, or
criticism or review, as permitted under the UK Copyright Designs and Patents
Act, 1988, this publication may not be reproduced, stored, or transmitted, in
any form or by any means, without the prior permission in writing of the
publishers, or in the case of reprographic reproduction only in accordance with
the terms of the licences issued by the Copyright Licensing Agency in the UK,
or in accordance with the terms of licences issued by the appropriate
Reproduction Rights Organization outside the UK. Enquiries concerning
reproduction outside the terms stated here should be sent to the publishers at
the London address printed on this page.
The publisher makes no representation, express of implied, with regard to the
accuracy of the information contained in this book and cannot accept any legal
responsibility or liability for any errors or omissions that may be made.
A catalogue record for this book is available from the British Library
Library of Congress Cataloguing-in-Publication Data available
Page v
Contents
List of examples xiii
Preface xvii
Acknowledgements xix
1 Introduction 1
1.1 Reinforced concrete structures 1
1.2 Structural elements and frames 1
1.3 Structural design 3
1.4 Design standards 6
1.5 Calculations, design aids and computing 7
1.6 Detailing 7
2 Materials, structural failures and durability 9
2.1 Reinforced concrete structures 9
2.2 Concrete materials 9
2.2.1 Cement 9
2.2.2 Aggregates 10
2.2.3 Concrete mix design 11
2.2.4 Admixtures 12
2.3 Concrete properties 12
2.3.1 Compressive strength 12
2.3.2 Tensile strength 13
2.3.3 Modulus of elasticity 13
2.3.4 Creep 14
2.3.5 Shrinkage 14
2.4 Tests on wet concrete 15
2.4.1 Workability 15
2.4.2 Measurement of workability 15
2.5 Tests on hardened concrete 16
2.5.1 Normal tests 16
2.5.2 Non-destructive tests 16
2.5.3 Chemical tests 17
2.6 Reinforcement 17
2.7 Failures in concrete structures 18
2.7.1 Factors affecting failure 18
2.7.2 Incorrect selection of materials 18
2.7.3 Errors in design calculations and detailing 19
2.7.4 Poor construction methods 19
2.7.5 Chemical attack 20
Page vi
2.7.6 External physical and/or mechanical factors 22
2.8 Durability of concrete structures 25
2.8.1 Code references to durability 25
2.9 Concrete cover 27
2.9.1 Nominal cover against corrosion 27
2.9.2 Cover as fire protection 27
3 Limit state design and structural analysis 29
3.1 Structural design and limit states 29
3.1.1 Aims and methods of design 29
3.1.2 Criteria for a safe design—limit states 29
3.1.3 Ultimate limit state 30
3.1.4 Serviceability limit states 31
3.2 Characteristic and design loads 31
3.3 Materials—properties and design strengths 33
3.4 Structural analysis 34
3.4.1 General provisions 34
3.4.2 Methods of frame analysis 36
3.4.3 Monolithic braced frame 37
3.4.4 Rigid frames providing lateral stability 39
3.4.5 Redistribution of moments 40
4 Section design for moment 42
4.1 Types of beam section 42
4.2 Reinforcement and bar spacing 42
4.2.1 Reinforcement data 42
4.2.2 Minimum and maximum areas of reinforcement in beams 43
4.2.3 Minimum spacing of bars 43
4.3 Behaviour of beams in bending 46
4.4 Singly reinforced rectangular beams 46
4.4.1 Assumptions and stress—strain diagrams 46
4.4.2 Moment of resistance—simplified stress block 49
4.4.3 Moment of resistance—rectangular parabolic stress block 51
4.4.4 Types of failure and beam section classification 54
4.4.5 General design of under-reinforced beams 55
4.4.6 Under-reinforced beam—analytical solution 56
4.4.7 Design charts 57
4.5 Doubly reinforced beams 61
4.5.1 Design formulae using the simplified stress block 61
4.5.2 Design chart using rectangular parabolic stress block 64
4.6 Checking existing sections 67
4.7 Moment redistribution and section moment resistance 70
Page vii
4.8 Flanged beams 72
4.8.1 General considerations 72
4.8.2 Neutral axis in flange 73
4.8.3 Neutral axis in web 74
4.9 Elastic theory 77
4.9.1 Assumptions and terms used 77
4.9.2 Section analysis 78
4.9.3 Transformed area method—singly reinforced beam 79
4.9.4 Doubly reinforced beam 82
5 Shear, bond and torsion 85
5.1 Shear 85
5.1.1 Shear in a homogeneous beam 85
5.1.2 Shear in a reinforced concrete beam without shear 85
5.1.3 Shear reinforcement in beams 88
5.1.4 Shear resistance of solid slabs 99
5.1.5 Shear due to concentrated loads on slabs 99
5.2 Bond, laps and bearing stresses in bends 101
5.2.1 Anchorage bond 101
5.2.2 Local bond 103
5.2.3 Hooks and bends 104
5.2.4 Laps and joints 105
5.2.5 Bearing stresses inside bends 105
5.3 Torsion 108
5.3.1 Occurrence and analysis 108
5.3.2 Structural analysis including torsion 108
5.3.3 Torsional shear stress in a concrete section 110
5.3.4 Torsional reinforcement 112
6 Deflection and cracking 121
6.1 Deflection 121
6.1.1 Deflection limits and checks 121
6.1.2 Span-to-effective depth ratio 121
6.1.3 Deflection calculation 126
6.2 Cracking 144
6.2.1 Cracking limits and controls 144
6.2.2 Bar spacing controls 145
6.2.3 Calculation of crack widths 146
7 Simply supported and continuous beams 152
7.1 Simply supported beams 152
7.1.1 Steps in beam design 152
7.1.2 Curtailment and anchorage of bars 154
Page viii
7.2 Continuous beams 165
7.2.1 Continuous beams in in situ concrete floors 165
7.2.2 Loading on continuous beams 166
7.2.3 Analysis for shear and moment envelopes 170
7.2.4 Moment redistribution 173
7.2.5 Curtailment of bars 180
8 Slabs 189
8.1 Types of slab and design methods 189
8.2 One-way spanning solid slabs 189
8.2.1 Idealization for design 189
8.2.2 Effective span, loading and analysis 191
8.2.3 Section design and slab reinforcement curtailment and 192
8.2.4 Shear 197
8.2.5 Deflection 198
8.2.6 Crack control 198
8.3 One-way spanning ribbed slabs 202
8.3.1 Design considerations 202
8.3.2 Ribbed slab proportions 203
8.3.3 Design procedure and reinforcement 203
8.3.4 Deflection 204
8.4 Two-way spanning solid slabs 207
8.4.1 Slab action, analysis and design 207
8.4.2 Simply supported slabs 209
8.5 Restrained solid slabs 213
8.5.1 Design and arrangement of reinforcement 213
8.5.2 Adjacent panels with markedly different support moments 215
8.5.3 Shear forces and shear resistance 215
8.5.4 Deflection 216
8.5.5 Cracking 217
8.6 Waffle slabs 221
8.6.1 Design procedure 221
8.7 Flat slabs 225
8.7.1 Definition and construction 225
8.7.2 General code provisions 225
8.7.3 Analysis 228
8.7.4 Division of panels and moments 229
8.7.5 Design of internal panels and reinforcement details 230
8.7.6 Design of edge panels 230
8.7.7 Shear force and shear resistance 230
8.7.8 Deflection 232
8.7.9 Crack control 232
Page ix
8.8 Yield line method 238
8.8.1 Outline of theory 238
8.8.2 Yield line analysis 238
8.8.3 Moment of resistance along a yield line 240
8.8.4 Work done in a yield line 243
8.8.5 Continuous one-way slab 244
8.8.6 Simply supported rectangular two-way slab 246
8.8.7 Rectangular two-way slab continuous over supports 249
8.8.8 Corner levers 250
8.8.9 Further cases 251
8.9 Stair slabs 256
8.9.1 Building regulations 256
8.9.2 Types of stair slab 256
8.9.3 Code design requirements 259
9 Columns 264
9.1 Types, loads, classification and design considerations 264
9.1.1 Types and loads 264
9.1.2 General code provisions 264
9.1.3 Practical design provisions 266
9.2 Short braced axially loaded columns 268
9.2.1 Code design expressions 268
9.3 Short columns subjected to axial load and bending about one
270
axis—symmetrical reinforcement
9.3.1 Code provisions 270
9.3.2 Section analysis—symmetrical reinforcement 270
9.3.3 Construction of design chart 274
9.3.4 Further design chart 279
9.4 Short columns subjected to axial load and bending about one
282
axis—unsymmetrical reinforcement
9.4.1 Design methods 282
9.4.2 General method 282
9.4.3 Design charts 285
9.4.4 Approximate method from CP110 287
9.5 Column sections subjected to axial load and biaxial bending 289
9.5.1 Outline of the problem 289
9.5.2 Failure surface method 290
9.5.3 Method given in BS8110 293
9.6 Effective heights of columns 296
9.6.1 Braced and unbraced columns 296
9.6.2 Effective height of a column 296
9.6.3 Effective height estimation from BS8110 298
9.6.4 Slenderness limits for columns 299
9.7 Design of slender columns 302