Buckling of a Simply Supported Equilateral Triangular Plate

Abstract

In this report, the buckling problem of a simply supported equilateral triangular plate under uniformly distributed compressive and shearing load is solved by the same method as that described in the previous paper. In the case of uniform compression, the exact solution is obtained by the combined form of trigonometric functions. Further, it is shown that, though the lowest buckling load obtained here coincides with that obtained by Woinowsky-Krieger, their solution is not always correct. In the cases of general loading condition, the solution is approximately obtained by the Galerkin's method. Numerical results obtained are shown in graphical form and in a table.