Assume that the composite described in Problem 15.8 has a cross-sectional area of 320 mm2 (0.50 in.2) and is subjected to a longitudinal load of 44,500 N (10,000 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 15.8
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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