Rectangular Thick Plate with Free Edges on Pasternak Foundation

Abstract

In this paper the work on the thick‐plate equations and their solution for the problem concerning the bending of a rectangular plate with four free edges resting on the Pasternak foundation are described. The basic equations are those obtained from Reissner's 1945 theory, and are modified to include the Pasternak foundation. The solutions of the basic equations are arrived at by superposing the solutions of three elemental plates, one with four guided support edges; the other two with two guided support edges and two free edges acted upon by an unknown bending moment. Finally, numerical examples are also presented to examine the solution for convergence and validation. It shows that the presented solution can be used as a good mechanical model for the analysis of the plate structures supported by elastic foundation, where the transverse shear deformation and the local effects in the plates and the transverse connection in the foundation must be considered.