1. Figure 1: Rectangular plate and coordinate system used to express the closed-form solution. Boundary conditions (b.c.) A panel simply supported on all four edges, measuring a = 30, b = 10, composed of T300-5208 graphite epoxy, composed of laminae with the following properties: In the October 1986 issue of the AIAA Journal, M.P. By using this online simulation, the student/user can easily determine the natural frequencies of plate as well as the corresponding mode shapes. The problem is that of a square, thin, elastic plate, simply supported on all four edges and compressed in one direction (see Figure 1.2.41).The analytical solution for the buckling load for this case (see Timoshenko and Gere, 1961, Section 9.2) is Plate Uniformly Distributed Load - Supported On All Edges Formula.