Problem $2-$Designing a Beam $(11$ Points$)$:

The steel frame floor $($figure below$)$ is subjected to:

Dead load of $120psf$ and live load of $80psf.$

First calculate the load on Joist B$1$ and determine the reactions.

Then, calculate reactions for Girder G$1.$

Draw the shear and moment diagram for G$1.$

Design a W$12$ x$....$ for Girder G$1,$ ONLY consider bending and shear stress, and ignore deflection

The allowable bending and shear stresses are:

$Fb=19000$ psi and $Fv=22000$ psi.

Ignore girder self$-$weight.

SECTION A$-$A