The lower limits of the limit loads of perfectly plastic structures (Q1315535)

A general method of obtaining the lower limits for limit loads is described, the essentials of which are as follows. The load acting on a structure is represented in the form of a functional series in powers of certain fundamental loads, for each of which, applied separately, the limit load coefficient (LLC) or a lower estimate for it is found. Using those estimates, the corresponding statically admissible stress fields and the coefficients of the expansion in the functional series, the lower limit is found for the LLC for the initial load distribution.