On the optimal design of trusses under one loading condition-Reference-Cited by-同舟云学术

On the optimal design of trusses under one loading condition

Published:1985 Issue:2 Volume:43 Page:129-134
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Levy Robert

Abstract

The optimal design of singly loaded trusses required to satisfy allowable stress criteria has the popular structural properties of a statically determinate configuration and fully stressed members. Linear programming and the duality theorem were used to attain these properties. This paper formulates the truss problem as a nonlinear programming problem, derives the optimality criteria via the Lagrangian and through proper physical interpretation of the Lagrange multipliers demonstrates the validity of the above results.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1985-43-02/S0033-569X-1985-0793520-0/S0033-569X-1985-0793520-0.pdf

Reference10 articles.

1. F. H. Cilley, The exact design of statically indeterminant frameworks, An exposition of its possibility, But Futility, Transactions, ASCE, 43 (June 1900)

2. A. G. M. Mitchell, The limits of economy of material in framed structures, Phil. Mag., 6 8 (1904)

3. C. Y. Shen and L. A. Schmit, Minimum weight design of elastic redundant trusses under multiple static loading conditions, AIAA Journal, 10, 2 (Feb. 1972)

4. W. S. Hemp, Optimum structures, Oxford University Press, 1973

5. North-Holland Monographs in Design Theory, No. 1;Spillers, William R.,1975

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