Nonaxial Bending of Ring Plates of Varying Thickness

A solution is given to the problem of the bending of circular ring plates of varying thickness which are subjected at their outer and inner edges to any system of forces and moments. The thickness is assumed to be proportional to any power of the radius, this having the effect of making the solution tractable. Numerical results are given for a plate, clamped at its inner, free at its outer, edge and subjected to a normal concentrated load on its outer edge. The constant-thickness version of this problem was first solved by Reissner.