Problem $2$: A continuous carbon reinforced polymer composite part with $63$ volume percent fiber has a

cross$-$sectional area of $0\mathrm{.}25i{n}^2.$ If the composite supports a total load of $34,000$ pounds, calculate the

fraction of this total load supported by the graphite fibers. Assume the best$-$case scenario, where the

strain of the matrix is equivalent to the strain of the fibers, as the case would be for longitudinal loading

situation. The modulus values for the fibers and the matrix are:

$E_{\text{m}\text{a}\text{t}\text{r}\text{i}\text{x}}=0\mathrm{.}6{10}^6$

$E_{\text{f}\text{b}\text{e}\text{c}\text{r}}=58{10}^6$