Structural Analysis – ICE Textbooks

Contents About the authors vii
About the editors ix
Preface xi
Acknowledgements xiii
1 Introduction 1
1.1 Aims and purpose 1
1.2 Structures 2
1.3 Purposes of structural analysis: its relationship with design and
assessment 6
1.4 Basis of structural analysis 8
1.5 Purpose and content of this book 12
1.6 Necessary background technical understanding 13
References 14
Further reading 14
2 Statically determinate structures 17
2.1 Introduction 17
2.2 Principles of plane statistics 18
2.3 Statical determinacy 20
2.4 Forces in pin-jointed trusses 26
2.5 Forces and moments in beams and frames 33
2.6 Forces and moments in arches 46
Further reading 50
3 Deformations 51
3.1 Introduction 51
3.2 Work and strain energy 52
3.3 Complementary work and complementary strain energy 58
3.4 Energy methods of deflection calculation 58
3.5 Principle of virtual work 62
3.6 Dummy unit load method of deflection calculation 63
Further reading 72
4 Statically indeterminate structures 73
4.1 Introduction 73
4.2 Implications of statical indeterminacy 74
4.3 Flexibility method applied to pin-jointed trusses 80
4.4 Stiffness method for beams and plane frames 89
4.5 Beams – the moment distribution method 103
Further reading 113
5 Stress and elementary elasticity 115
5.1 Introduction 115
5.2 Definitions and conventions 116
5.3 Equilibrium 118
5.4 Principal stresses in three dimensions 121
5.5 Maximum shear stresses 125
5.6 Relationships between stress, displacement and strain 128
5.7 Strain energy at a point 130
5.8 Two-dimensional idealisations 133
5.9 Principal stresses in two dimensions – Mohr’s circle of stress 135
5.10 Failure criteria 138
5.11 Stresses in beams 141
Further reading 146
6 Buckling 147
6.1 Introduction 147
6.2 Importance of buckling in structural systems 148
6.3 Buckling of axial compression members 153
6.4 Buckling of members in bending 162
6.5 Elastic buckling of plate elements 167
6.6 Post-buckling behaviour 173
Further reading 176
7 Plastic analysis 177
7.1 Introduction 177
7.2 Design philosophies and criteria 178
7.3 Material and cross-section behaviour in bending 179
7.4 Equilibrium approach for beams 188
7.5 Kinematic approach for beams and plane frames 197
Further reading 206
8 Behaviour patterns of structures 207
8.1 Introduction 207
8.2 Load paths in beams and plane frames 208
8.3 Deformations of beams and plane frames 209
8.4 Bending of beams and plane frames 213
8.5 Symmetry in beams and plane frames 217
Further reading 219
9 Finite-element analysis 221
9.1 Introduction 221
9.2 Basis of FE analysis 221
9.3 FE application 224
9.4 Basics of computer FE modelling and analysis 233
References 239
Further reading 239
Index 241