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.
On the Pareto Optimality of Ashby's Selection Method for Beams Under Bending
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 7, 2016; final manuscript received October 15, 2017; published online November 9, 2017. Assoc. Editor: James K. Guest.
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Previati, G., Mastinu, G., and Gobbi, M. (November 9, 2017). "On the Pareto Optimality of Ashby's Selection Method for Beams Under Bending." ASME. J. Mech. Des. January 2018; 140(1): 014501. https://doi.org/10.1115/1.4038296
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