The Stresses in a Plate Containing an Overlapped Circular Hole

Abstract

This paper deals with the stresses in a plate containing a hole whose rim is composed of two equal circular arcs. The stress function concerned is constructed by means of an even integral solution of biharmonic equation expressed in bipolar coordinates. The parameters involved in the solution are determined from the given boundary conditions with the aid of Fourier transforms. Three fundamental stress systems are discussed. Expressions of the stress along the rim of hole are derived and, in particular, values of the maximum stress are calculated. The results are then plotted in conjunction with those of a plate containing two equal circular holes, which are obtained by the present author in a previous paper. It may be interesting to compare the the methods used in both solutions.