ON THE OPTIMAL DESIGN OF TRUSSES UNDER ONE LOADING CONDITION.

Robert Levy

doi:10.1090/qam/793520

ON THE OPTIMAL DESIGN OF TRUSSES UNDER ONE LOADING CONDITION.

Robert Levy

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The optimal design of single 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.

Original language	English
Pages (from-to)	129-134
Number of pages	6
Journal	Quarterly of Applied Mathematics
Volume	43
Issue number	2
DOIs	https://doi.org/10.1090/qam/793520
State	Published - 1 Jan 1985
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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title = "ON THE OPTIMAL DESIGN OF TRUSSES UNDER ONE LOADING CONDITION.",

abstract = "The optimal design of single 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.",

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AB - The optimal design of single 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.

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ON THE OPTIMAL DESIGN OF TRUSSES UNDER ONE LOADING CONDITION.

Abstract

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