Single fourier series solutions for rectangular plates under in-plane forces, with particular reference to the basic problem of colinear compression. Part 2: Stress distribution

Abstract

In this, the second paper of a two-part report on colinearly compressed rectangular plates, a study of the mechanical aspects of the problem is conducted in order to obtain a reasonably general picture of the stress distribution as the relevant geometric and load parameters are varied. Special emphasis is placed on the degree of error inherent in the approximate single Fourier series scheme, and on what constitutes a ‘long’ plate for the sort of systems in question. Finally, a possible practical implication for estimating the tensile strength of brittle materials through compression testing is suggested.