Research Papers

Torsion of a Prismatical Bar Whose Section Is a Crescent

[+] Author and Article Information
F. Sisto

Curtiss-Wright Research Division, Clifton, N. J.

J. Eng. Power 81(4), 428-432 (Oct 01, 1959) (5 pages) doi:10.1115/1.4008111 History: Received June 28, 1957; Published October 01, 1959; Online February 20, 2019


The Saint Venant torsion problem is solved for a region bounded by two circular arcs forming a crescent. The region is conformally transformed to an infinite strip and the stress function is obtained by Fourier integral. Subsequent quadratures for evaluation of the torsion constant are obtained explicitly with the exception of a single infinite integral which may easily be evaluated numerically. Some values of the torsion constant are given, and an approximate formula valid for small “camber” is presented.

Copyright © 1959 by ASME
Topics: Torsion , Strips , Stress
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