The two$-$span continuous beam shown below is statically indeterminate $($ DSI$-1.$ A uniform distributed load is applied over the right span. The steel beam $(E-29000$ksi has second moment of area $I-900$ inch ${?}^4.$ The span lengths and distributed load intensity should be the same as your Homework #$4$ assignment.

In the following problems, you will use the force method treating the reaction at $B$ as the one redundant, i$.$e$.,x_1-=R_B.$

Use virtual work to calculate ${}_1^0,$ the deflection at and in the direction of the redundant due to the applied loads acting on the primary structure.

Use virtual work to calculate the flexibility coefficient, $f_{11},$ the deflection at and in the direction of the redundant due to a unit value of the redundant acting on the primary structure.

Solve for the redundant, $x_1.$ Note that there are no support settlements, so hat$({)}_1=0.$

Use equilibrium with the redundant and applied load to determine the reactions at A and $C.$

If there was a settlement at one or more of the supports, which of the following quantities would change?

A$.f_{11}$

B$.$ hat$({)}_1$

C$.{}_1^0$

D$.$ All of the above

E$.$ None of the above

Please answer question $1-5$