Minimum Weight Design of Beams With Inequality Constraints on Stress and Deflection

[+] Author and Article Information
E. J. Haug, P. G. Kirmser

Department of Applied Mechanics, Kansas State University, Manhattan, Kan.

J. Appl. Mech 34(4), 999-1004 (Dec 01, 1967) (6 pages) doi:10.1115/1.3607869 History: Received July 29, 1966; Revised June 26, 1967; Online September 14, 2011


A nonlinear optimal design problem, with state variable inequality constraints, is solved. The problem is reduced to a Lagrange problem in the Calculus of Variations and necessary conditions are presented. For a certain class of problems, the necessary conditions are reduced to a system of nonlinear algebraic equations which are solved by an iterative procedure. The computational algorithm is efficient and is easily programmed for use on a digital computer.

Copyright © 1967 by ASME
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