$2.($Hanson $12\mathrm{.}12$ Mod, $)$ A cantilevered balcony is showing signs of distress. Until it can be repaired, we need to reduce the peak moment. The principal in charge recommends adding two rows of post shores. Our role is to determine how much that would reduce the peak moment in the balcony.

a$.$ Guess the shape of the moment diagram of the balcony with the proposed shoring.

b$.$ Calculate the peak moment for a strip of the balcony without the added supports.

c$.$ Approximate the reactions for a strip of the balcony with two rows of shores.

d$.$ Use the force method to determine the reactions for a strip of balcony with two rows of shores.

e$.$ Construct and label the moment diagram for the balcony based on your results from part $($d$).$ By how much is the peak moment reduced when we add the shores?

f$.$ Compare your results from $($a$)$ and $($e$)$ and briefly discuss the similarities$/$differences$.$