Buckling of a Rectangular Plate under Locally Distributed Forces Applied on the Two opposite Edges (3rd Report)

Abstract

In the preceding reports, approximate solutions for this problem were obtained by simplifying the stress distribution in the rectangular plate. In this report, the problem is treated rigorously. That is, the actual stress distribution is first investigated and then, by using the Ritz's method, the critical value of the load is shown to be given by a determinant equation. The problem is solved for the following two cases, i.e., (a) rectangular plate with all four edges simply supported and (b) rectangular plate with loaded edges simply supported and the other edges clamped. In each case, the critical values of a pair of concentrated forces for rectangular plates with various length-width-ratios and those of locally distributed forces for a square plate are calculated and the results are tabulated and discussed.