ON THE RELIABILITY OF REDUNDANT STRUCTURES.
Abstract:
General expressions for the probability that a simple redundant structure of material, with statistical yield point, can sustain the applied load even when yielding occurs in some of its members, are obtained. It is pointed out that, in the fail safe design, the conditional probability of survival of the structure, under the hypothesis that yielding has occurred in at least one of the members, is as significant as the expected life of the damaged structure. Numerical examples indicate that, while the structure utilizing the yielding material, is appreciably better, from the point of view of fail safe design, than that using a brittle material, caution should be exercised to apply the notion of fail safe design to redundant structures against failure due to yielding, since the conditional probability of survival is low. Author