Homework $2$

Due by $09/18$

An orthotropic material has the following elastic properties relative to orthotropic axes $(x,y,$ and

z$)$: $E_x=15290$MPa,$E_y=1195$MPa,$E_z=765$MPa,$G_{xy}=1130MPa{G}_{xz}=$

$1040$MPa,$G_{yz}=260$MPa,var${}_{xy}=0\mathrm{.}426$var${}_{xz}=0\mathrm{.}451,$ and var${}_{yz}=0\mathrm{.}697.$ Determine the strain

components at a point when stress components are ${}_{}=7$MPa,${}_{yy}=2\mathrm{.}1$MPa,${}_{zz}=$

$-2\mathrm{.}8$MPa,${}_{xy}=1\mathrm{.}4$MPa${}_{xz}=0$MPa,$G_{yz}=0$MPa.