Compute the longitudinal strength of an aligned carbon

QUESTION:

Compute the longitudinal strength of an aligned carbon fiberepoxy matrix composite having a 0.20 volume fraction of fibers, assuming the following: (1) an average fiber diameter of 6 10 3 mm (2.4 10 4 in.), (2) an average fiber length of 8.0 mm (0.31 in.), (3) a fiber fracture strength of 4.5 GPa (6.5 105 psi), (4) a fiber matrix bond strength of 75 MPa (10,900 psi), (5) a matrix stress at composite failure of 6.0 MPa (870 psi), and (6) a matrix tensile strength of 60 MPa (8700 psi). 1