Torsional Buckling of an Extended Twisted Cylindrical Rod Under One-Sided Constraint

[+] Author and Article Information
W. O. Williams

Humble Oil and Refining Company, Houston, Tex.

P. R. Paslay

Mechanical Engineering, Rice University, Houston, Tex.

J. Appl. Mech 32(3), 519-524 (Sep 01, 1965) (6 pages) doi:10.1115/1.3627253 History: Received June 01, 1964; Online September 15, 2011


The stability criteria for an infinitesimally extended finitely twisted cylindrical rod resting upon a rigid frictionless plane inclined with respect to a gravity field are determined. It is found that the initial position, in which the centerline of the rod is straight, is one of classically stable equilibrium but that instabilities may develop for sufficiently large displacements from that configuration. Thus buckling may occur if imperfections of the rod or other extraneous displacements of sufficient magnitude are present.

Copyright © 1965 by ASME
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