Saint-Venant’s Principle for a Helical Spring

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

Department of Engineering Mechanics, University of Missouri-Rolla, Rolla, Mo.

J. Appl. Mech 45(2), 297-301 (Jun 01, 1978) (5 pages) doi:10.1115/1.3424291 History: Received September 01, 1977; Online July 12, 2010


We consider a linear elastic helical spring of arbitrary length and of uniform cross section loaded by a self-equilibrated force system at one end only. We show that the elastic energy, stored in the portion of the spring beyond a certain distance from the loaded end, decreases exponentially with the distance. We thus establish an analog of Toupin’s version of the Saint-Venant principle for a helical spring.

Copyright © 1978 by ASME
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