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

Author:

Thailer Henry J.1,Cheng David H.2

Affiliation:

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

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

Abstract

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.

Publisher

ASME International

Subject

General Medicine

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Effect of shape imperfections on elastic stresses of U-bends subjected to in-plane moment;International Journal of Structural Integrity;2020-06-30

2. Elastostatic analysis of problems involving complex toroidal geometries;The Journal of Strain Analysis for Engineering Design;1987-10-01

3. Elementary solutions for the propagation of ovalization along straight pipes and elbows;International Journal of Pressure Vessels and Piping;1984-01

4. The influence of flanged end constraints on smooth curved tubes under in-plane bending;International Journal of Pressure Vessels and Piping;1983-01

5. Flexibility of smooth circular curved tubes with flanged end constraints;International Journal of Pressure Vessels and Piping;1979-01

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