$(35$ Points$)$ The Cantilevered beam below, beam B$-$E$.$ is made from a $12"$ I heam 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 at the end of the test.

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

b$.(10$ Points$)$ Determine the hightest available tubing. i$.$e$.$ lowest weight per foot, which can provide

a F S of at leas $10$

c$.(5$ Points$)$ Delermine the elongation of support A$-$B given the tubing you chose.

d$.(10$ Points$)$ If the maximum shear stress for $A-36$ steel is ${04}^{**}y,$ determune the diameter $A-36$

pins needed at points A and $B$ if both are in single shear. $F.S.=5$