Beam Theory and Its Suitability for the Analysis of Pipes

[+] Author and Article Information
H. Fan

Mechanical Engineering Department, Northwestern University, Evanston, IL 60201

G. E. O. Widera, P. Afshari

Mechanical Engineering Department, University of Illinois at Chicago, Chicago, IL 60680

J. Pressure Vessel Technol 113(2), 291-296 (May 01, 1991) (6 pages) doi:10.1115/1.2928757 History: Received February 28, 1991; Online June 17, 2008


The use of the asymptotic expansion technique when applied to the three-dimensional elasticity equations is outlined and used to demonstrate the development of an asymptotic beam theory and associated boundary conditions. The formulation thus obtained holds for arbitrary cross section shapes and is applied here to pipes. It can be used to provide benchmark solutions to test the suitability of engineering beam and shell theories.

Copyright © 1991 by The American Society of Mechanical Engineers
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