Stiffness of an Elastic Circular Cylinder of Finite Length

[+] Author and Article Information
Michel Robert

IBM T. J. Watson Research Center, Printer Mechanics, Yorktown Heights, NY 10598

L. M. Keer

Departments of Civil and Mechanical Engineering, The Technological Institute, Northwestern University, Evanston, IL 60201

J. Appl. Mech 55(3), 560-565 (Sep 01, 1988) (6 pages) doi:10.1115/1.3125830 History: Received July 09, 1987; Revised January 26, 1988; Online July 21, 2009


An analytical solution is proposed to determine the stiffness of an elastic circular cylinder clamped at one end, while the other end undergoes any rigid-body displacement; the lateral surface is stress-free. The validity of Saint-Venant’s principle has been assessed by computing the solution of this problem for cylinders having different aspect ratios. On the other hand, the solution agrees with the thin layer theory when the aspect ratio becomes infinitely small. Therefore, the solution proposed here fills up the gap between beam theory and thin layer theory.

Copyright © 1988 by ASME
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