Optimal Design of an Elastic Column of Thin-Walled Cross Section

[+] Author and Article Information
N. C. Huang, C. Y. Sheu

Department of the Aerospace and Mechanical Engineering Sciences, University of California at San Diego, La Jolla, Calif.

J. Appl. Mech 35(2), 285-288 (Jun 01, 1968) (4 pages) doi:10.1115/1.3601193 History: Received August 16, 1967; Revised November 09, 1967; Online September 14, 2011


This paper treats the optimal design of a vertical column that is built-in at the lower end. In addition to its own weight, the column is to carry an axial compressive load at its unsupported upper end. The column is to be designed as a thin-walled tube. The median line is to be the same for all cross sections; the wall thickness, though constant along the median line of any cross section, is allowed to vary along the length of the tube. Accordingly, the weight per unit length of the tube is proportional to the bending stiffness. For given length and total weight, the variation of the wall thickness along the column is to be determined to maximize the critical value of the compressive load at the upper end. The influence of a maximum allowable compressive stress on the design is also investigated.

Copyright © 1968 by ASME
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