Shear stresses in beams with variable cross section, subjected to non-uniform bending

Abstract

The goal of this paper is to present a generalization of the Juravski formula (appropriate for the beams with constant cross section, subjected to non-uniform bending), for the beams with variable cross section. In the first part of the paper are presented calculus hypotheses and is deducted the generalized formula and in second part, the new formula is applied for a few particular cases of beams with variable cross section and the results are verified using similar results from specialty literature and the element finite method. Also, some observations and comments are made.