Problem $2$

A double angle $2L74\frac{5}{8}$ is connected to a $\frac{7}{8}-$in gusset plate as shown in the figure below. The applied loads are such that the ratio of Dead Load to Live Load is $4\mathrm{.}5.$ The bolts are $7/8-$inch$-$diameter Group A with threads in the shear plane. Material: The angles is made up of A$572$ Grade $50$ Steel and the gusset plate is made up of A$36$ Steel. Note: The spacing of the bolt rows is as per "Workable Gages in Angle Legs $($see Table $1-7$A: p$1-52).$ For the connections the surfaces were prepared to Class B surface classification, i$.$e$.$ coefficient of friction of $0\mathrm{.}5$ could be attained. Based on this information answer the following question.

Question $2\mathrm{.}13$: By identifying the controlling design strength from the above values AND D$/$L $=4\mathrm{.}5$ as presented in the problem what is the permissible SERVICE Load that can be applied without violating LRFD Specifications for both the angles and the connection? $[$Enter in kips$]$