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RESEARCH PAPERS: Medical Devices and Sporting Equipment

Bending of Beams with Nonlinear Material Characteristics

[+] Author and Article Information
G. Szuladzinski

Analytical Service Co., Los Alamitos, Ca. 90720

J. Mech. Des 102(4), 776-780 (Oct 01, 1980) (5 pages) doi:10.1115/1.3254821 History: Received August 01, 1979; Online November 17, 2009

Abstract

When an expression is known for the curvature of a beam as a function of a bending moment, it is a simple matter to determine the deflected shape. It is a bigger problem to obtain such an explicit expression using a realistic stress-strain curve. This paper begins with a Ramberg-Osgood type of stress-strain formula, that is characterized by a continuous slope change typical of metals in elevated temperatures. A moment-curvature equation of a similar form is then developed and its accuracy is verified for several basic cross-sections. The advantage of this approach is to improve the accuracy and efficiency of deflection analysis compared with the existing manual methods.

Copyright © 1980 by ASME
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