It is necessary to fabricate an aligned and discontinuous carbon fiber–epoxy matrix composite having a longitudinal tensile strength of 1900 MPa (275,000 psi) using 0.45 volume fraction of fibers. Compute the required fiber fracture strength, assuming that the average fiber diameter and length are 8 × 10−3 mm (3.1 × 10−4 in.) and 3.5 mm (0.14 in.), respectively. The fiber–matrix bond strength is 40 MPa (5800 psi), and the matrix stress at fiber failure is 12 MPa (1740 psi).
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