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A continuous and aligned fiber-reinforced composite is to be produced consisting of 41 vol% aramid fibers...

A continuous and aligned fiber-reinforced composite is to be produced consisting of 41 vol% aramid fibers and 59 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows:

Modulus of Elasticity [GPa (psi)] Tensile Strength [MPa (psi)]
Aramid fiber 131 (19 × 106) 3600 (520,000)
Polycarbonate 2.4 (3.5 × 105) 65 (9425)

Assume that this composite has a cross-sectional area of 320 mm2 (0.50 in.2) and is subjected to a longitudinal load of 49700 N (11200 lbf).

(a) Calculate the fiber-matrix load ratio.

(b) Calculate the actual load carried by fiber phase. (N)

(c) Calculate the actual load carried by matrix phase. (N)

(d) Compute the magnitude of the stress on the fiber phase. (Mpa)

(e) Compute the magnitude of the stress on the matrix phase. (MPa)

(f) What strain is expected by the composite?

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