Abstract
Synopsis When a rigidly-jointed framed structure is subjected to several loads, each of which can vary independently of the other loads between prescribed limits, a type of failure termed incremental collapse may have to be considered. As the loads vary, there is a possibility that certain peak-load combinations will follow one another in a sequence which will result in definite increments occurring in the permanent deformations of the structure. Repetition of this sequence will cause the same increments in the permanent deformations in the same sense, so that eventually large deformations will be built up, rendering the structure useless. This type of failure is distinct from the plastic collapse occurring under a single application of load which is usually considered as the basis of plastic design methods. Incremental collapse is discussed in the Paper, and a new general method for the determination of the values of the loads which cause this kind of failure is presented.

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