Finite-element Design of Concrete Structures – Practical problems and their solutions

Contents
Preface vii
About the author ix
Notations xi
01 General 1
1.1 Introdution to FEM 5
1.2 General problems of numerical analysis of concrete
structures 7
References 12
02 Truss and beam structures 13
2.1 Corners in frame structures – rigid regions 14
2.2 Beams with variable depth – inclined haunches 23
2.3 Beams with halving joints and openings 29
2.4 Soft supports – elastic bedding 37
2.5 Shear walls with large openings 56
2.6 Bracing of high-rise buildings 61
2.7 Design of hollow box girder bridge 80
2.8 Truss system-design of T-beam bridges 84
2.9 Support conditions 105
2.10 Dimensioning of reinforced beams 110
2.11 Material nonlinear analysis of truss and beam systems 114
References 136
03 Shear walls and deep beams 139
3.1 Estimation of stress resultants of deep beams 141
3.2 Modelling the support condition 145
3.3 Dimensioning of deep beams 158
3.4 Strut-and-tie models 166
3.5 Singularities 169
References 171
04 Slabs 173
4.1 General 173
4.2 Meshing – size of elements 180
4.3 Material paratmeters – Poisson’s ratio 181
4.4 Support conditions for slabs 183
4.5 One-way slab 185
4.6 Slabs that can lift from the supports 197
4.7 Discontinuous line support 199
4.8 Concrete joist floors 205
4.9 Flat slabs 206
4.10 Foundation slabs 228
4.11 Skewed slabs 234
4.12 Singularities 237
4.13 Discretisation – generation of the element mesh 246
4.14 Dimensioning with analytical methods and tables 261
4.15 Comparison with analytical methods and tables 261
References 269
05 Shell structures 271
5.1 Mesh generation 271
5.2 T-beams 283
5.3 Slab-on-beam structure 296
5.4 Composite structures 310
5.5 Singularities 310
5.6 Material nonlinear analysis of shells and massive
members 312
References 318
06 Three-dimensional building models 321
6.1 General problems 321
6.2 FE modelling of a building 323
6.3 Design of a building 329
6.4 Portal frame bridge 335
6.5 Checking and documentation of FE analyses 344
6.6 The power of FE analysis 348
6.7 Summary and conclusion 350
References 350
Index 351