A continuous and aligned fiber-reinforced composite having a cross-sectional area of 1130 mm2 (1.75 in.2) is subjected to an external tensile load. If the stresses sustained by the fiber and matrix phases are 156 MPa (22,600 psi) and 2.75 MPa (400 psi), respectively, the force sustained by the fiber phase is 74,000 N (16,600 lbf) and the total longitudinal strain is 1.25 × 10-3, determine
(a) the force sustained by the matrix phase
(b) the modulus of elasticity of the composite material in the longitudinal direction, and
(c) the moduli of elasticity for fiber and matrix phases.