On Limit Design of Frames Using Linear Programming |
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| Authors: | G. Maier R. Srinivasan M. A. Save |
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| Affiliation: | 1. POLYTECHNIC INSTITUTE OF MILAN , MILAN, ITALY;2. DEPARTMENT OF CIVIL ENGINEERING , UNIVERSITY OF ILLINOIS , URBANA, ILLINOIS;3. FACULTE POLYTECHNIQUE DE MONS , MONS, BELGIUM |
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| Abstract: | Abstract This paper deals with a broad class of optimum frame design problems amenable to the mathematical model of linear programming: allowance is made for self-weight (design dependent loads) and technological constraints “assigned minimum for yield moments, prescribed variation laws of yield moments along members”. Two alternative “static” formulations and the corresponding dual “kinematic” formulations are discussed and compared to each other. The main limit design theorems, generalized to the present broader context, are derived on the basis of duality theory of linear programming. Numerical examples, worked out by means of standard LP computer codes, are given. |
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