In-Plane Bending of Curved Circular Tubes

[+] Author and Article Information
D. H. Cheng, H. J. Thailer

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

J. Eng. Ind 90(4), 666-670 (Nov 01, 1968) (5 pages) doi:10.1115/1.3604706 History: Received June 12, 1968; Online August 25, 2011


A general solution is presented for a thin, curved circular tube under in-plane bending. It includes the solution given by Clark and Reissner as a particular case in which the ratio of the radius of the tube to the radius of its center line is very small. The series expansions satisfy the equilibrium equation for any radius ratio while the compatibility condition is guaranteed by minimizing the complementary energy. The minimization is achieved in the manner of Raileigh-Ritz whereas the evaluation of integrals are facilitated by the use of binomial expansion. Numerical results correlate well with the experimental data. The solution is more rapidly convergent as compared to the existing analytical methods.

Copyright © 1968 by ASME
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