Institute of Fundamental Technological Research

Probability of collapse of plates of random plastic moment is considered within the yield-line theory. The unit yield moments in the hinges are assumed statistically independent. To account for combined stress states in a hinge line a weight factor is introduced. Discrete yield patterns are considered and the collapse load at a required level of significance is computed. The proposed simple technique accounts for randomness of mechanical properties of plates while retaining the computational scheme of a deterministic limit analysis.