ABSTRACT

The stability of plates undergoing large deflection under edge thrust, buckling being resisted by a force proportional to the displacement, has been analysed. The equilibrium equation of a plate in a deflected position has been obtained by applying the principle of virtual work. It is assumed that there is no shearing force and the plate is compressed by equal compressive forces. The equilibrium equation has been solved for a rectangular plate with simply supported edges and circular plates with clamped edges. The least critical load from the resulting equation for the above plates has been obtained and verified in the case of small deflection.