Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the optimal design of trusses under one loading condition

Author: Robert Levy
Journal: Quart. Appl. Math. 43 (1985), 129-134
MSC: Primary 73K40
DOI: https://doi.org/10.1090/qam/793520
MathSciNet review: 793520
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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.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/793520
Article copyright: © Copyright 1985 American Mathematical Society

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