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  3. 1 it is necessary to choose materials for the least...

Question: 1 it is necessary to choose materials for the least...

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1. It is necessary to choose materials for the least expensive beam for a building project. The beam is a simply supported beam of length L with a uniform load, F. We know the cross sectional shape will be important but dont know yet what shape we want to use or how big the cross sectional area, A, will be. With the information below, derive the materials selection index, M, that, when maximized, will maximize performance of the beam. The constraint is that the beam not fail plastically under the load. 3/2 F=TL; ZsgUARE ;(Cost of Beam = CL4ρ

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