Preface ........................................................ xi
Acknowledgements ............................................. xiii
Notation and sign convention .................................. xiv
1 Time-dependent deformation ................................... 1
1.1 Background .............................................. 1
1.2 Creep of concrete ....................................... 5
1.3 Shrinkage of concrete .................................. 17
1.4 Time analysis - the basic problem ...................... 22
1.5 References ............................................. 22
2 Material properties ......................................... 24
2.1 Concrete ............................................... 24
2.2 Steel reinforcement .................................... 31
2.3 References ............................................. 36
3 Design for serviceability - deflection and crack control
3.1 Introduction ........................................... 37
3.2 Design objectives and criteria ......................... 38
3.3 Design actions ......................................... 39
3.4 Design criteria for serviceability ..................... 41
3.5 Maximum span-to-depth ratio - minimum thickness ........ 44
3.6 Deflection control by simplified calculation ........... 49
3.7 Crack control .......................................... 75
3.8 References ............................................. 96
4 Uncracked sections - axial loading .......................... 99
4.1 Preamble ............................................... 99
4.2 The effective modulus method .......................... 100
4.3 The principle of superposition - step-by-step method
(SSM) ................................................. 105
4.4 The age-adjusted effective modulus method (AEMM) ...... 119
4.5 The rate of creep method (RCM) ........................ 128
4.6 Comparison of methods of analysis ..................... 133
4.7 References ............................................ 136
5 Uncracked sections - axial force and uniaxial bending ...... 137
5.1 Introductory remarks .................................. 137
5.2 Overview of cross-sectional analysis .................. 137
5.3 Short-term analysis of reinforced or prestressed
concrete cross-sections ............................... 138
5.4 Long-term analysis of reinforced or prestressed
concrete cross-sections using the age-adjusted
effective modulus method (AEMM) ....................... 151
5.5 Long-term analysis of reinforced and prestressed
cross-sections using the step-by-step procedure ....... 164
5.6 Composite steel-concrete cross-sections ............... 180
5.7 Composite concrete-concrete cross-sections ............ 189
5.8 References ............................................ 223
6 Uncracked sections - axial force and biaxial bending ....... 224
6.1 Introduction .......................................... 224
6.2 Short-term analysis ................................... 226
6.3 Long-term analysis using the age-adjusted effective
modulus method (AEMM) ................................. 244
6.4 Long-term analysis using the step-by-step method ...... 256
7 Cracked sections ........................................... 260
7.1 Introductory remarks .................................. 260
7.2 Short-term analysis ................................... 265
7.3 Time-dependent analysis (AEMM) ........................ 279
7.4 Short- and long-term analysis using the step-by-step
method ................................................ 288
7.5 References ............................................ 292
8 Members and structures ..................................... 293
8.1 Introductory remarks .................................. 293
8.2 Deflection of statically determinate beams ............ 293
8.3 Statically indeterminate beams and slabs .............. 305
8.4 Two-way slab systems .................................. 324
8.5 Slender reinforced concrete columns ................... 335
8.6 Temperature effects ................................... 340
8.7 Concluding remarks .................................... 349
8.8 References ............................................ 349
9 Stiffness method and finite-element modelling .............. 351
9.1 Introduction .......................................... 351
9.2 Overview of the stiffness method ...................... 351
9.3 Member loads .......................................... 354
9.4 Time analysis using AEMM .............................. 361
9.5 Time analysis using SSM ............................... 368
9.6 Time analysis using the finite-element method ......... 376
9.7 Analysis of cracked members ........................... 387
9.8 References ............................................ 389
A.l Introduction .......................................... 391
A.2 Kinematic model ....................................... 392
A.3 Weak formulation (global balance condition) ........... 393
A.4 Finite element formulation ............................ 396
A.4.1 Age-adjusted effective modulus method .......... 397
A.4.2 Step-by-step method ............................ 403
A.5 Strong formulation (local balance condition) .......... 406
A.5.1 Instantaneous analysis ......................... 407
A.5.2 Age-adjusted effective modulus method (AEMM) ... 413
A.5.3 Step-by-step method (SSM) ...................... 417
A.6 References ............................................ 423
Index ......................................................... 424
|