$1.(15$ pts$)$ A building column in the upper story is subject to the following loads $($all in compression$)$:

$$ Dead load $=115$ kips

$$ Floor live load $=50$ kips

$$ Roof live load $=25$ kips

$$ Snow $=40$ kips

a$.$ If load and resistance factor design $($LRFD$)$ is used, determine the factored load $($required

strength$)$ to be used in the design of the column. Which AISC load combination controls? Hint:

Make sure showing calculation details for all $7$ load combinations.

b$.$ What is the required nominal strength of the column for a resistance factor $$ of $0\mathrm{.}90?$

c$.$ If allowable strength design $($ASD$)$ is used, determine the required load capacity $($required

strength$)$ to be used in the design of the column. Which AISC load combination controls? Hint:

Make sure showing calculation details for all $10$ load combinations.

d$.$ What is the required nominal strength of the column for a safety factor $\backslash$Omega of