The Bending of a Thin Elliptic Plate with Supported Edge under Uniform Normal Pressure

The problem of the bending of a thin elliptic plate with supported rim subjected to uniform normal pressure was considered by B. Galerkin in a paper named ".Adaptation of curvilinear isothermal co-ordinates to integrate the equations of equilibrium of elastic plates." The deflexion ui obtained by him satisfies the conditions that tu and the normal pressures vanish at the rim but does not strictly make the bending moment about a tangent line of the rim zero.