Problem

A continuous and aligned fiber–reinforced composite is to be produced consisting of 30 vol...

A continuous and aligned fiber–reinforced composite is to be produced consisting of 30 vol% aramid fibers and 70 vol% polycarbonate matrix; the 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)

The stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa (6500 psi).

For this composite, compute the following:

(a) The longitudinal tensile strength


(b) The longitudinal modulus of elasticity

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