Analytic Treatment of Minimum Weight Design of Cantilevers

[+] Author and Article Information
J. E. Brock

Department of Mechanical Engineering, Naval Postgraduate School, Monterey, Calif.

J. Appl. Mech 41(2), 512-515 (Jun 01, 1974) (4 pages) doi:10.1115/1.3423319 History: Received March 01, 1973; Online July 12, 2010


Minimum weight design is considered for cantilever beams which must sustain a concentrated moment and a concentrated force at the tip as well as their own distributed weight. An analytic solution is obtained for the case where the variation of cross section is such that section modulus varies as a power of cross-sectional area. Three cases, having practical importance, are studied in detail; two of these lead to nonlinear differential or integral relationships. Cases having more complicated laws of variation and other end conditions are discussed.

Copyright © 1974 by ASME
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