(Solved): (a) Derive a formula to find the modulus of elasticity of a continuous and aligned fiber composite. ...

(a) Derive a formula to find the modulus of elasticity of a continuous and aligned fiber composite. (b) A continuous and aligned fiber reinforced composite is to be produced consisting of $45\%$ aramid fibers by volume and $55\%$ polycarbonate matrix by volume. Mechanical characteristics of these two materials are as follows. For the composite, compute the followings. (i) the longitudinal tensile strength. (ii) the longitudinal modulus of elasticity. (iii) Fraction of the load carried by the fiber.