Problem $3.$ For the following built up beam, calculate the shear flow $q($lbs$/$in or kips$/$in$)$ at the connection between the members and indicate if the connection is adequate.

A built$-$up beam is joined using a nail spacing of $4".$ Each nail has a shear capacity of $200$ lbs and the beam is subjected to a shear force of $700$ lbs $.$ Built$-$up beam properties: $,A=24i{n}^2$ and $I_x=448i{n}^4.$