Answer
$σ^{*}_{cl} = 1,639.25 MPa $
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 tensile strength for the composite
Solution:
Using Equation 16.17, the longitudinal tensile strength is:
$σ^{*}_{cl} = σ^{'}_{m} (1 - V_{f}) + σ^{*}_{f}V_{f} =(35 MPa)(1- 0.45) + (3600 MPa)(0.45) \\ = 1,639.25 MPa $
