Problem #$2$:

A column in a building is subjected to the following load effects:

$9$ kips compression from dead load.

$5$ kips compression from roof live load

$6$ kips compression from snow

$8$ kips compression from wind

a$.$ If allowable strength design is used, determine the load capacity $($required strength$)$ to be used in the design of the column. Which AISC load combination controls?

b$.$ What is the required nominal strength of the column for a safety factor of $$ of $1\mathrm{.}67$