Problem $3\mathrm{.}13$

Problem Statement: Compute the strength$/$density $(\frac{{}_u}{})$ and stiffness$/$density $(\frac{E}{})$ ratios of the first five metals in Table $3\mathrm{.}1$ and for the SiC and $A{l}_2{O}_3$ whiskers and fibers in Table $2\mathrm{.}2($a$)$ and $($b$).$ Use the upper limits of strength for the metals. For SiC and $A{l}_2{O}_3$ use densities from Table $3\mathrm{.}10$ as approximate values. Plot $\frac{{}_u}{}$ versus $\frac{E}{}$ using different plotting symbols for the metals, fibers, and whiskers. What trends do you observe? Discuss the significance of these trends in view of the possibility of making metal matrix composite containing $50\%$ fibers or whiskers by volume.