On the Buckling of Truncated Conical Shells in Torsion

[+] Author and Article Information
Paul Seide

Aerospace Corporation, Los Angeles, Calif.

J. Appl. Mech 29(2), 321-328 (Jun 01, 1962) (8 pages) doi:10.1115/1.3640549 History: Received May 08, 1961; Online September 16, 2011


The problem of the buckling of thin circular conical frustums in pure torsion is solved in a manner similar to that employed previously by the author for buckling under uniform hydrostatic pressure. Synthesis of the numerical results indicates that the critical torsion of a truncated cone is equal to that of an equivalent cylinder whose length and thickness are the axial length and wall thickness of the cone and whose radius is a function of the semivertex angle and the taper ratio of the cone. Curves and equations to aid in the analysis of conical frustums are given. It is shown that a previous recommendation for the analysis of truncated cones in torsion may be seriously unconservative in some cases.

Copyright © 1962 by ASME
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