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Question: q2 a composite material consists of parallel fibers of youngs...

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Q2: A composite material consists of parallel fibers of youngs modulus Ef in a matrix of youngs modulus Em.The volume fraction of fibers is Vf-using material parameters given in the tables below, find which of three composite a)carbon fiber-epoxy resin(v-0.5),b)glass fiber-polyester resin(V-0.5),c)steel concrete(Vi-0.02).will give the lightest beam for a given conditions(a uniform, rectangular -section beam of fixed width w, unspecific depth(d) and fixed length (L) rests horizontally on two simple supports at either end of the beam. A concentrated force(F) acts vertically downwards through the center of the beam). Ecompositel Gpa) Volume fraction of glass ,Vi 0 0.05 0.1 0.15 0.2 0.25 0.3 Material Carbon fiber Glass fiber Epoxy resin Polyester resin steel concrete 5.5 6.4 7.8 9.5 11.5 14.0 Youngs modulus(Gpa) 390 72 Density(Mgm) 1.9 2.55 1.15 1.15 7.9 2.4 200 45

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