Stability of Two Planar Loop Elasticas

[+] Author and Article Information
E. E. Zajac

Bell Telephone Laboratories, Inc., Murray Hill, N. J.

J. Appl. Mech 29(1), 136-142 (Mar 01, 1962) (7 pages) doi:10.1115/1.3636445 History: Received September 26, 1960; Online September 16, 2011


This paper considers the stability of two planar forms of the elastica: (1) A twisted circular hoop and (2) the classical noninflectional plane elastica. By means of the Kirchhoff thin-rod theory, the critical loads at which the planar forms become unstable and tend to “pop out” into spatial forms are determined. The results are related to the problems of coiling and kinking of submarine cable.

Copyright © 1962 by ASME
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