Short Calculations $-10$ points each

$11.$ Calculate the direct $($axial$)$ stress on the steel plates if they are $4i{n}^2$ in area. Calculate the shear stress on the bolts if their diameter is $\frac{7}{8}-$inch. $($answer must include correct units$).$ The load, $P=100k.$

$12.$ Calculate the value of the internal shear and moment just to the right of the $5-$kip load and draw a free body diagram that shows those internal forces.

$13.$ Draw the shear and moment diagrams for the beam and calculate the value of the maximum moment $($hint: calculate the support reactions first$)$:

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$14.$ For the copper rod, calculate the stress due to a temperature INCREASE of $50$ degrees Fahrenheit. Indicate tension or compression.