Problem $4(20$ points total$).$

A$)$ The structure below is subjected to a crane with $13-$kip capacity, which moves along beam BD$.$ A moment connection is present at point F $,$ which must be properly sized to resist the moment generated by the crane load. Draw the influence line for positive moment at point F caused by the crane load. Indicate values and all important points on the diagram $(10$ points$).$

B$)$ If beam BD above is subjected to a $2$ kl $\text{'}$ dead load, a $\backslash (1\backslash$mathrm$\{$k$\}/\backslash )\text{'}$ uniform live $($snow$)$ load, and the crane load, use your influence line from part $\backslash ($ A $\backslash )$ to determine the absolute value of maximum moment $($i$.$e$.$ either positive or negative$)$ at E$,$ subjected to the combination of these loads $(10$ points$).$