II$.$ Problems

$(28$ points$)$ Calculate the reactions at pin A and in member

DE for the loading shown. Be sure to clearly indicate the

direction of your reactions in a FBD$.$ Determine the

internal loadings that act at point $C.$ Be sure to clearly

indicate the direction of your assigned internal loadings in

a FBD$.$ For $2$ points extra credit, determine the minimum

allowable diameter to the nearest $\frac{1}{{16}^{\text{'}\text{'}}}$ of the double$-$

sheared pin $D$ if the failure shear stress is $76\mathrm{.}5$ ksi $.$