Stability of the Hinge Formed in an Ideal Rigid-Plastic Beam

[+] Author and Article Information
M. J. Hillier

The Nuclear Power Group, Knutsford, Cheshire, England

J. Appl. Mech 28(1), 133-134 (Mar 01, 1961) (2 pages) doi:10.1115/1.3640424 History: Received March 14, 1960; Online September 16, 2011


The hinge formed at yield in an ideal rigid-plastic beam is considered plastically stable if the moment of resistance increases after a small deformation, and unstable if the moment decreases. An initially curved beam of strain-hardening material and rectangular section is considered, and the change in moment of resistance due to a small change in curvature calculated. It is shown that, for a material which does not strain harden, the yield hinge is unstable if the initial curvature and the change in curvature are of the same sign. However, the initial rate of change of moment of resistance is small. The change of yield moment of a straight beam is initially zero. The minimum initial hardening rate required for stability of a curved beam is calculated.

Copyright © 1961 by ASME
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