Plastic limit analysis allows the direct evaluation of the collapse load of a body or structure, without the need for intermediate calculation steps. Computational limit analysis methods have successfully been used to obtain bounds on the collapse load for plane strain problems, providing a rapid and robust means of evaluating safety. However, application of limit analysis techniques to three-dimensional problems has been more limited. This is unfortunate since engineers are increasingly seeking to model the real three-dimensional geometry of a given problem, rather than a two-dimensional idealization. During this project, discontinuity layout optimization, a limit analysis procedure successfully applied to numerous plain strain problems, has been used to develop a new three-dimensional limit analysis formulation. Unlike previous similar limit analysis formulations, discontinuity layout optimization is relatively insensitive to the initial layout of elements chosen. During the course of this research, a number of simple benchmark problems are considered, demonstrating that good results can be obtained even when coarse numerical discretizations are employed. Further information, can be found in the publications below.