Problem $4$: Use the slope$-$deflection method to analyze the structure.

$4\mathrm{.}1)$ Determine the magnitude and direction of the support reactions.

$4\mathrm{.}2)$ Draw the shear and bending moment diagrams for the beam. Identify points where the shear crosses

zero $($don$\text{'}$t do this for the moment$).$ Identify local maximums and minimums in the moment diagram.

$4\mathrm{.}3)$ Over time, the soil supporting the structure experiences some differential settlement. This causes the

support at C to experience a settlement of $25$ mm $.$ Recalculate the magnitude and direction of the

support reactions taking this into account.

$4\mathrm{.}4)$ If the supports at A and E was designed with a maximum moment capacity of $120$ kN $-$m$,$ will the

support settlement create issues with the design of the fixed supports? If so$,$ will the structure become

unstable and collapse? Provide a brief discussion.

ANSWER ALL THE QUESTIONS!!! GIVE SPECIFIC VALUES FOR DIAGRAMS, REACTIONS, ETC.