Chapter 5. Shakedown and Limit Kinematic Analysis
5.1. Reduced shakedown kinematic formulation 129
5.2. Trusses, hollow sphere and cylinder 134
5.2.1. Hollow sphere and cylinder 134
5.2.2. A system of n parallel bars 136
5.2.3. A 3-bar assemblage 140
5.3. Beams 143
5.3.1. A cantilever beam 145
5.3.2. A simply supported beam 149
5.3.3. A beam under a slowly-moving dynamic point load 151
5.3.4. A clamped beam under sequential point loads 154
5.4. Plates 158
5.4.1. A clamped circular plate under uniform loads 160
5.4.2. A clamped circular plate under line and uniform loads 166
5.4.3. A simply-supported circular plate 175
5.4.4. A simply-supported rectangular plate 179
5.5. Plane stress problems 187
5.6. Finite element implementation 191
5.6.1. Kinematicformulations as nonlinear optimization problems191
5.6.2. Discrete kinematic formulations 192
5.6.3. Numerical examples 195