The Cantilevered beam below, beam B$-$E$.$ is made from a $12$ "I beam which weighs $50l\frac{h}{f}t.$ The support A$-$B is to be made of A$-36$ structural steel $2^{\text{'}\text{'}}{2}^{\text{'}\text{'}}$ square tubing. dimensions and material information is in the charts al the end of the test.

a$.$ Determine the area required for support $A*B$ which will provide a $FS=10.$

b$.$ Determine the hightest a a ailable tubing. i$.$e$.$ lowest weight per foot, which can provide a F S$.$ of al least $10$

c$.$ Determine the elongation of support A$-$B given the tubing you chose.

d$.$ If the maximum shear stress for $A-36$ steel is ${04}^{*}y,$ determine the drameter A$-36$ pins needed at points A and $B$ if both are in single shear. F$.$S$.=5$