$($Problem # $1)$ A beam B$1$ carrying a uniformly distributed load and self$-$weight of $1\mathrm{.}8$Kips$/$Ft and uniformly distributed live load of $2\mathrm{.}2$ Kips$/$Ft is connected to a column C$1$ with two angles and $5/8$ inch diameter bolts $($double shear$)$ as showen in figure $1.$ the length of the beam is $25$ feet. a$)$ Assuming unbraced length of beam Lb $=12\mathrm{.}5$ Ft determine if a proposed W$21$x$63$ beam is adequete for the load acting on beam B$1($Manual table $3-2).$ b$)$ Check deflection requirement: Maximum live load deflection should not exceed $1/360$ of span length. $($This is Problen #$3.$ Determine the number of bolts requierd for the beam and column shear$/$bearing connection $($from problem #$1)($Manual Table $7-1).$ b$)$ Check the strength of beab B$1$ in shear $.(1)$ Shear yieldind $($AISC EQUATION J$4-3).(2)$ Shear Rupture $($AISC Equation J $4-4).$ c$)$ Check block shear strength at beam B$1($AISC Eqn J $4-5)$