Question $1$: $[10$ marks total$]-$ The two$-$span reinforced concrete bridge shown below is being analyzed under dead and live loading. All loads shown in the figure are unfactored. Complete the following:

$($a$)$ Draw a complete free$-$body diagram $($FBD$),$ axial force diagram, shear force diagram, and bending moment diagram for each load type $($e$.$g$.,$ dead load and live load$).$

$($b$)$ Determine the design bending moment and shear force for the beam.

$($c$)$ Determine the design axial compressive force for the column.

$($d$)$ If the beam has the cross$-$section shown in the Figure below. Determine the compressive stress in the top of the beam under the maximum factored design moment.

Note: you will need to consider different possible load combinations for each part. To make this easier, you will want to draw separate axial, shear, and moment diagrams for each load type $($i$.$e$.,$ dead and live$).$

Question $1$: $[10$ marks total$]-$ The two$-$span reinforced concrete bridge shown below is being analyzed under

dead and live loading. All loads shown in the figure are unfactored. Complete the following:

$($a$)$ Draw a complete free$-$body diagram $($FBD$),$ axial force diagram, shear force diagram, and bending

moment diagram for each load type $($e$.$g$.,$ dead load and live load$).$

$($b$)$ Determine the design bending moment and shear force for the beam.

$($c$)$ Determine the design axial compressive force for the column.

$($d$)$ If the beam has the cross$-$section shown in the Figure below. Determine the compressive stress in the

top of the beam under the maximum factored design moment.

Note: you will need to consider different possible load combinations for each part. To make this easier,

you will want to draw separate axial, shear, and moment diagrams for each load type $($i$.$e$.,$ dead and live$).$