Normal reactions in a clamped elastic rectangular plate

This paper addresses the classical problem of bending of a clamped thin rectangular elastic plate by a normal uniform load. A brief account of engineering approaches to consider the problem is given. The object of this paper is to provide a full description of the local behaviour of normal reactions and deflection near the corner points of the plate. Among various mathematical and engineering approaches, the method of superposition is effective for solving the problem. Numerical results reveal an analytically predicted local behaviour of normal reactions.