$7\mathrm{.}8$ The door header in Figure $7.$C supports a dead load of $W_D=120l\frac{b}{f}t,$ a roof live load of $W_{Lr}=120l\frac{b}{f}t,$ and an axial tension force due to wind of $T=13$kips. Lumber is No$.2$ Hem$-$Fir. $C_M=1\mathrm{.}0,C_i=1\mathrm{.}0,$ and $C_i=1\mathrm{.}0.$ There are no bolt holes at the point of maximum moment. Lateral stability is not a problem.

Find:

a$.$ Using ASD check the given member size under the following loading conditions:

Vertical loads only

IBC$-$required combinations of vertical loads and lateral forces

b$.$ Which loading condition is the most severe?

c$.$ Repeat parts a and $b$ using LRFD$.$