The wall$-$mounted beam shown below $($length $L=15\mathrm{.}6$ in$)$ has a circular cross$-$

section with the following properties:

$d=0\mathrm{.}9in$

$A=0\mathrm{.}636i{n}^2,I_z={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{y}^{2}dA=0\mathrm{.}0322i{n}^4,I_y={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{z}^{2}dA=0\mathrm{.}0322i{n}^4,$ and

$J={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(y^2+z^2)dA=0\mathrm{.}0644i{n}^4$

An external force is applied at the center of the end of the beam. The force

components are $F_y=-9200lb$ and $F_z=2200lb,$ as shown.

What is the peak normal stress $({}_x)$ in the material near the wall $($in units of

$\{$:$ki\frac{p}{i}{n}^2),$ expressed as a positive number?