Shells With Edge Loads of Rapid Variation—II

Abstract

The previously obtained solution for the thin elastic shell with edge loads whose wave-length is smaller than the shell radii of curvature is shown to provide a transition from “thin-shell” behavior to “flat-plate” behavior. The general character of the interior stress distribution is discussed in this paper. An examination is made of the properties of the “stiffness” matrix, which give the edge stresses due to prescribed edge displacements, and the properties of the inverse (“flexibility”) matrix. A solution is provided for the paradax of the shell of negative curvature with “shear-beam” supported edges, for which the membrane theory indicates a spectrum of edge loads that produce infinite stress.