Q$2)$ A column in a building is subjected to the following load effects:

$3$ kips compression from dead load

$8$ kips compression from live load

$5$ kips compression from roof live load

$4$ kips compression from snow

$6$ kips compression from $3$ inches of rain accumulated on the roof

a$.$ If load and resistance factor design $($LRFD$)$ is used, determine the factored load $($required strength$)$ to be used in the design of the colum

b$.$ What is the required design strength of the column?

c$.$ What is the required nominal strength of the column for a resista f of $0\mathrm{.}90?$