Answer
$E_{cl} = 60. 27 GPa$
Work Step by Step
Given:
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 the two materials are given in the Table. The stress on the polycarbonate matrix when the aramid fibers fail is 35 MPa (5075 psi).
Required:
longitudinal modulus of elasticity for the composite
Solution:
Using Equation 16.10a:
$E_{cl} = E_{m}V_{m} + E_{f}V_{f} = (2.4 GPa)(0.55) + (131 GPa)(0.45) = 60. 27 GPa$
