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.
On the Buckling of Truncated Conical Shells in Torsion
Aerospace Corporation, Los Angeles, Calif.
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Seide, P. (June 1, 1962). "On the Buckling of Truncated Conical Shells in Torsion." ASME. J. Appl. Mech. June 1962; 29(2): 321–328. https://doi.org/10.1115/1.3640549
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