The optimal plastic design of structures having a partially predefined strength distribution is considered. Sufficient conditions for optimality as well as upper and lower bounds on minimum structural volume are established and examples involving a continuous beam and a grillage are given. It is shown that most existing theories for optimal plastic design and limit analysis can be derived from the optimality criteria presented.
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics