Shells With Edge Loads of Rapid Variation—II

[+] Author and Article Information
C. R. Steele

Research Laboratories, Lockheed Missiles and Space Company, Palo Alto, Calif.

J. Appl. Mech 32(1), 87-98 (Mar 01, 1965) (12 pages) doi:10.1115/1.3625790 History: Received December 27, 1963; Online September 15, 2011


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.

Copyright © 1965 by ASME
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