Approximate Analysis of Elastic Stress Distribution in Thin Strip Material

Abstract

The general problem of the two-dimensional state of stress in a strip of elastic material under normal loading is considered. A series expansion of displacement functions generated along lines suggested by Mindlin and Medick [1] for dynamical questions arising in plate theory is employed in the solution. The variational procedure generates a set of variational equations of motion. In order to obtain useful results the series is truncated in such a way that the analysis gives an approximate solution valid for ratios of loaded length to plate thickness greater than unity.