Simulation of the stress strain state of composite beams in bending in two planes report 1. derivation of relationships of a nonclassical model

摘要

A nonclassical model for the stress strain state of composite beams with piecewise continuous cross sections is proposed. Bending of beams is considered in two principal planes of rigidity. Unlike to a classical model based on the hypothesis ofplane sections, the proposed nonclassical model takes into account the warpings of the beam cross sections which are induced by shear strains. The expressions for displacements, strains, longitudinal normal stresses and transverse tangential stresses have been derived. The general state of the beam is determined from the principle of superposition.