Problem $2(25$ points$)$

For the structure shown here:

a$)$ Determine the support reactions at $\backslash (\backslash$boldsymbol$\{$A$\},\backslash$boldsymbol$\{$B$\}\backslash ),$ and $\backslash (\backslash$boldsymbol$\{$C$\}\backslash ).$

b$)$ Determine the average shear stress in pins $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ if they have a diameter of $\backslash (\backslash$mathbf$\{10\}\backslash$mathbf$\{$~ m m$\}\backslash ).$

c$)$ Would $2014-$T$6$ aluminum be a proper choice for the pin's material? Why?

d$)$ If the thickness of beam $\backslash ($ B C $\backslash )$ is $1$ cm $,$ what material would you choose for it$?$ Why?

You can find mechanical properties of several materials in the table at the end of this document. $($Hint: Try to find any two$-$force member in the structure.$)$