Exact deformation of a rectangular plate with a central circular hole under in-plane loads

Abstract

Exact solutions for stresses, strains, and displacements of a perforated rectangular plate by a central circular hole under both linearly varying in-plane normal stresses on two opposite edges and in-plane shear stresses acting on its entire outer boundary are investigated using the Airy stress function. The hoop stresses arising at the edge of the circular hole are also calculated and plotted. Stress concentration factors (the maximum non-dimensional hoop stresses) depending upon the size of the circular hole and the inplane loading condition are tabularized.