On the Pareto Optimality of Ashby's Selection Method for Beams Under Bending
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The paper deals with the problem of choosing the material and the cross section of a beam subjected to bending under structural safety, elastic stability, and available room constraints. An extension of the theory proposed by Ashby is presented. The Pareto-optimal set for the multi-objective problem of stiffness maximization and mass minimization under elastic stability, structural safety, and available room constraints for a beam under bending is derived analytically. The Pareto-optimal set is compared with the solution of the Ashby's selection method.
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2015 ◽
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2011 ◽
Vol 38
(7)
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pp. 8045-8053
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