$9\mathrm{.}14.($a$)$ For the cross$-$section of Fig. $9\mathrm{.}18($a$),$ determine the magnitude of the stress

at the point $y=-1\mathrm{.}0in,z=+3\mathrm{.}0$ in for the loads given below.

$($b$)$ For the cross$-$section of Exercise $9\mathrm{.}4($b$),$ determine the magnitude of the

stress at the point $y=+7\mathrm{.}2$ in$,z=3\mathrm{.}95$ in for the loads given below.

$($c$)$ As above, but for the bottom of the web of the T section of Fig. $9\mathrm{.}18($c$).$

$N=1\mathrm{.}0$kip,$M_y=10\mathrm{.}0$kip$-in,M_z=-6\mathrm{.}0$kip$-in.$

$($d$)$ According to the "Manual of Steel Construction," a W $14109$ homo$-$

geneous, doubly symmetric cross$-$section, shown in Fig. $9\mathrm{.}25,$ has $$n $$re$$

equal to $32$ square inches, while $I_{yy}=1240i{n}^4,$ and $I_{xz}=447i{n}^4.$ If the

only applied loads are a moment about the $y$ axis of magnitude $\frac{2}{b}ar(M{)}_0,$ and

a moment about the $z$ axis of magnitude $M_0,$ determine the location and

magnitude of the maximum tensile stress.