Problem

It is desired to produce an aligned carbon fiber–epoxy matrix composite having a longitudi...

It is desired to produce an aligned carbon fiber–epoxy matrix composite having a longitudinal tensile strength of 500 MPa (72,500 psi). Calculate the volume fraction of fibers necessary if (1) the average fiber diameter and length are 0.01 mm (3.9 × 104 in.) and 0.5 mm (2 × 102 in.), respectively; (2) the fiber fracture strength is 4.0 GPa (5.8 × 105 psi); (3) the fiber–matrix bond strength is 25 MPa (3625 psi); and (4) the matrix stress at composite failure is 7.0 MPa (1000 psi).

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