An Upper-Bound Solution for Tube Cropping

[+] Author and Article Information
R. S. Rao

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109

P. K. Wright

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pa. 15213

J. Eng. Ind 107(4), 365-371 (Nov 01, 1985) (7 pages) doi:10.1115/1.3186011 History: Received January 22, 1984; Online July 30, 2009


An upper-bound solution for the cropping of thin-walled tubes is developed, based on a plastic hinge approach, to predict the load-deflection behavior up to the point of shearing. A simple strain theory is used to estimate the deflection at the maximum cropping load. A deformation pattern (collapse mode) is proposed consisting of plastic hinges and then, for any given deflection, the associated plastic work is calculated. Subsequently, the cropping load is estimated by numerical differentiation with respect to the deflection. Comparisons are made with experiment.

Copyright © 1985 by ASME
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