This work, sponsored by the Pressure Vessel Research Committee of the Welding Research Council, is an extension of the work previously completed and reported in Reference 1. There, the major concern was to establish a method for analyzing the displacement of a circular plate containing a large number of circular holes drilled in rectangular arrays. The analysis was accomplished by idealizing the perforated plate into an orthotropic circular plate having effective stiffness coefficients which contain the elastic and geometric parameters of the original perforated plate.