The Significance of the Concentrated Load in the Limit Analysis of Conical Shells

[+] Author and Article Information
John A. DeRuntz

University of California, Berkeley, Calif.

P. G. Hodge

Illinois Institute of Technology, Chicago, Ill.

J. Appl. Mech 33(1), 93-101 (Mar 01, 1966) (9 pages) doi:10.1115/1.3625032 History: Received February 18, 1965; Revised July 28, 1965; Online September 15, 2011


The yield point load of a simply supported conical sandwich shell loaded at its vertex through a rigid central boss is found for a material obeying the Tresca yield condition. Exact solutions are found for a wide range of shell configurations ranging from thick shallow cones to thin steep ones, including large and small boss sizes. The results are compared with those for the limiting case of zero boss radius corresponding to a complete conical shell loaded with a concentrated load at its vertex. It is found that for thick shallow shells the concentrated-load solution is a good approximation to the solution for realistically small boss sizes, but that for thin and/or steep shells the agreement is so poor as to make the concentrated-load solution meaningless. It is shown that such behavior also can be expected for shells obeying more realistic yield conditions.

Copyright © 1966 by ASME
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