Stress distributions after shear buckling of a rectangular plate based on the approximate expression shown by Timoshenko

Abstract

In this report, the approximate expression shown by Timoshenko was used as a shear buckling deflection shape of a rectangular plate. First, this expression was assumed as a solution to the equilibrium equation of the out-of-plane direction of the plate after shear buckling, and stress distributions were derived. And the out-of-plane displacement amplitude was derived by the Galerkin method. Then, validities of these derived equations were examined by comparison with the results of the finite element method (FEM) computation. As a result; the stress distributions were sufficiently consistent except near the boundary. The equations regarding the maximum values of the out-of-plane displacement amplitude and the maximum von Mises stress were quantitatively agreed well with FEM results.