$(1)$A roof section is shown below and the roof plan is shown on the next page. The roof plan

shown on next page is part of a multiple bay structure with rectangular $32$x$50$ grid in both

directions.

a$.$ Use Tributary area method to develop a dead and live load take$-$off table based on the roof

construction shown.

b$.$ Draw free body diagrams $($FBD$)$ diagrams for each of a typical open web joist, W $21$ x $50$

beam and W$14$ x $53$ column. Indicate the type and magnitude of loading on the FBD$.$

Recall that the weight of steel sections is given in lbs$/$ft by the second number in the

member designation. The floor to floor story height is $14$ ft$.$