Note All given loads are service loads.

$2-1$ 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

$7$ kips compression from $3$ inches of rain accumulated on the roof

$8$ kips compression from wind

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

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

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

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

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

$2-2$ Repeat Problem $2-1$ without the possibility of rain accumulation on the roof.