Mathematical model of the bending of SD-beams

Abstract

The bending of the vertical beams caused by the SD-effect under a concentrated load at the end of the beam is considered. For the solution of the problem, the Ilyushin model of perfect plasticity is used. The problem is solved analytically and numerically. As an example of the material with the SD-effect A40X-steel is considered. The solutions for the beams made of an isotropic material and of a material with the SD-effect are compared.