Minimal Weight Design for Conical Shells

[+] Author and Article Information
R. Reiss

Department of Mechanics and Hydraulics, The University of Iowa, Iowa City, Iowa

J. Appl. Mech 41(3), 599-603 (Sep 01, 1974) (5 pages) doi:10.1115/1.3423355 History: Received December 01, 1973; Revised April 01, 1974; Online July 12, 2010


The statical method for solving the problem of minimum volume design of sandwich conical shells obeying the Tresca criterion is presented. By employing variational techniques, necessary and sufficient conditions for an absolute minimum are obtained. The form of the solution is shown to be geometry as well as load-dependent. Conditions for uniqueness are established and a nonunique example is presented. Examples are presented for conical shells with a rigidly attached central boss.

Copyright © 1974 by ASME
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