Stresses in Curved Beams of Noncircular Center Line

[+] Author and Article Information
M. M. Abbassi

Alexandria University, Alexandria, Egypt

J. Appl. Mech 27(3), 445-454 (Sep 01, 1960) (10 pages) doi:10.1115/1.3644022 History: Received December 01, 1958; Online September 16, 2011


The paper deals with the general case of a curved beam whose center line is a plane curve not necessarily circular. The body-stress equations and the compatibility equations for stresses in their general form are found for the chosen system of co-ordinates and put in their simplest form. Solutions for the equations with the aim of finding the stresses when the beam is subjected to a torque and to a bending out of its plane of initial curvature are obtained for both elliptic and circular cross sections of the beam. The case of a concentrated load at one end perpendicular to the plane of initial curvature is also considered.

Copyright © 1960 by ASME
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