Assume that the composite described in Problem 16.8 has a cross-sectional area of 480 mm2 (0.75 in.2) and is subjected to a longitudinal load of 53,400 N (12,000 lbf).
(a) Calculate the fiber–matrix load ratio.
(b) Calculate the actual loads carried by both fiber and matrix phases.
(c) Compute the magnitude of the stress on each of the fiber and matrix phases.
(d) What strain is experienced by the composite?
Problem 16.8
A continuous and aligned fiber–reinforced composite is to be produced consisting of 45 vol% aramid fibers and 55 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 35 MPa (5075 psi). For this composite, compute the following:
(a) The longitudinal tensile strength
(b) The longitudinal modulus of elasticity
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