Probabilistic Statics of Discretized Ideal Plastic Frames

Abstract

The difficulties are discussed concerning the definition of the safe set in landom variable models of structural system reliability analysis. For frame structures the need for clarity and consistency motivates a continued interest in considering rigid‐ideal plastic constitutive behavior assigned to discretrzed hinge models. General yield conditions with internal force interaction ate considered. Adoption of the associated flow rule assures the validity of the static theorem. On this basis a theorem about linear combinations of so‐called linearly associated lower bound safety margins proves useful for setting up a strategy of fast identification of important collapse mechanisms. They are important in the sense of close upper bounding of the reliability against collapse.

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