The two$-$span contimuous 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 $I=600inc{h}^4.$ 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 quan$-$

tities would change?

A$.f_{11}$

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

C$.{}_1^0$

D$.$ All of the above

E$.$ None of the above