ABSTRACT
Plastic analysis and optimal plastic design problems are based on the linear or linearized yield condition and the equilibrium equation. Having to take into account stochastic variations of the model parameters, the basic stochastic plastic analysis or optimal plastic design problem must be replaced by a certain deterministic substitute problem. A (limit) state function is defined by the minimum value of a convex or linear optimization problem. This enables then to derive explicit deterministic optimization problems for the computation of a β-point. Moreover, explicit formulations of the reliability—based design optimization problem are then obtained.
