2 A composite material consists of parallel fibers of Young’s modulus E in a matrix of Young’s modulus Em. The volume fraction of fibers is V. Derive an expression for E. Young’s modulus of the composite along the direction of the fibers, in terms of E, Em and V. Obtain an analogous expression for the density of the composite, pe Using material parameters given in the next table, find pe and E for the following composites: (a) carbon fiber-epoxy resin (V= 0.5), (b) glass fiber-polyester resin (V: = 0.5), (c) steel-concrete (V: = 0.02). Young’s modulus (GN m2 390 Density (Mg m) 1.90 2.55 1.15 Material Carbon fiber Glass fiber Epoxy resin Polyester resin Steel Concrete 72 3 } 7.90 2.40 200 45