In-Plane Bending of a U-Shaped Circular Tube With End Constraints

[+] Author and Article Information
Henry J. Thailer

PWR Systems Division, Westinghouse Electric Corp., Pittsburgh, Pa.

David H. Cheng

Department of Civil Engineering, The City College of the City University of New York, New York, N. Y.

J. Eng. Ind 92(4), 792-796 (Nov 01, 1970) (5 pages) doi:10.1115/1.3427848 History: Received June 05, 1970; Online July 15, 2010


A general solution is presented for a thin, curved, circular tube containing rigid end constraints, subjected to in-plane bending moments. Inextensibility of the meridional center line is assumed. The displacements are expanded in series form and the equations of equilibrium are guaranteed by minimizing the total potential energy. The minimization is achieved in the manner of Rayleigh-Ritz. Analytical results are compared with published experimental results and existing axisymmetric theory.

Copyright © 1970 by ASME
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