The buckling of plates tapered in planform

Abstract

An analysis is given of the buckling of a plate of constant thickness tapered symmetrically in planform and subjected to uniform compressive loading on the parallel ends. Two cases are considered. (1) Different uniform loads applied normal to the ends, equilibrium being maintained by shear flows along the sides. (2) Equal uniform stresses applied normal to the ends, with displacement of the sides prevented normal to the direction of taper. Opposite pairs of edges are either simply-supported or clamped.