Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution

Abstract

In the present study, stress analysis and explicit solution of rectangular plate with arbitrarily located circular hole, subjected to linear normal stresses on two opposite edges, has been investigated. Airy function and hoop stresses occurring at the edge of the circular have been computed. In this method 2D dimension elasticity and Airy stress function was used. The present method for explicit solution and finding airy stress function are stronger and simpler than prior methods. By using Stress function, the stress distribution around circular hole were calculated. By using obtained airy stress relation the stress distribution around the circle was obtained, plotted and compared with distribution of stress (computed by finite element method in Abaqus). This comparison shows the accuracy of this solution method. It has been observed that stress distribution of stress function is independent from hole location and only depends on the hole's size.