When is a Moment Conservative?

[+] Author and Article Information
Jes Christoffersen

Department of Solid Mechanics, The Technical University of Denmark, Lyngby, Denmark

J. Appl. Mech 56(2), 299-301 (Jun 01, 1989) (3 pages) doi:10.1115/1.3176083 History: Received May 04, 1988; Revised September 01, 1988; Online July 21, 2009


A simple, yet fully-general condition under which moment loading is conservative is presented. The condition is stated in terms of a Maxwell-type reciprocity relation between infinitesimal rotations and an appropriately defined differential of the moment. The usefulness of this concept is illustrated by examples concerning torsional instability of shafts.

Copyright © 1989 by ASME
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