Correlation Between some Stability Problems for Orthotropic and Isotropic Plates under Bi-Axial and Uni-Axial Direct Stress

Abstract

Summary Four buckling problems are considered, namely: — (a) A rectangular orthotropic plate, with all edges simply supported, subjected to compression on its ends and a known compression or tension on its sides; (b) the same as (a) but with the ends clamped and sides simply supported; (c) a rectangular orthotropic plate, with the ends simply supported and sides clamped, subjected to compression on its ends; and (d) the same as (c) but with all edges clamped. In each case it is shown that the variables involved can all be combined into such a non-dimensional form that a single curve serves to give the value of the end compression required to cause buckling. This curve is identical with the curve of buckling stress coefficient against side ratio for a corresponding isotropic plate under uni-axial compression.