A computerised method for rigid-plastic yield-line analysis of slabs
A semi-automatic method is presented for the rigid-plastic yield-line analysis of slabs to predict the mechanisms which are most likely to cause collapse. The computational technique adopted uses linear programming to evaluate the Munro and Da Fonseca solution for any given trial element geometry and non-linear optimisation techniques to investigate the effect of adjusting the geometry. Linearized constraint equations are developed analytically and used with the conjugate gradient method in order to overcome problems due to the existence of discontinuities in slope of the optimising function. Computation procedures are given and an algorithm for this is described with examples.
rigid-plastic yield-line analysis slabs linear programming optimisation conjugate gradients plates structures