$(20$ pts$.)$ A $20ft$ tall column has a cross section of $8^{\text{'}\text{'}}{12}^{\text{'}\text{'}}($actual$).$ The material has a

Young's Modulus $E=2,000,000,$ and an axial yield stress of $1500$ psi. Using a crushing

F$.$O$.$S$.$ of $1\mathrm{.}67$ and a buckling F$.$O$.$S$.$ of $1\mathrm{.}9,$ compute the following:

a$)$ What is the LARGEST axial load this column can sustain without failing?

b$)$ If the column is braced $($in the weak direction$)$ at $8$ feet from the top, what is the maximum

axial load the column can sustain?