Draw and solve for $3$ beams $($read entire problem carefully please$)$Consider a three$-$span continuous plate girder bridge with a constant moment of inertia and equal uniform load $(w=3\mathrm{.}5\frac{k}{f}t)$ on all spans. Assume the first and third spans are the same length $(36$ ft $)$ and the middle span is longer $(48$ ft $)$ than the end spans. The ends of the girder are simply supported. Use moment distribution to find the end moments, solve for the reactions and draw the shear and moment diagrams for the girder.

Determine the reactions and draw the shear and moment diagrams for a bridge of the same total length but where each of the three spans are simply supported.

Determine the reactions and draw the shear and moment diagrams for a bridge of the same total length but where the two end spans cantilever over the interior supports by $6$ ft $,$ and the middle span has a "drop in section" connected to the ends of each cantilever at a hinge.

Submit your calculations with a cover memo. In your memo, discuss the differences between the maximum moments observed for each of the structural systems analyzed.

$\backslash$table$[[$Item$,$Points Possible,$\backslash$table$[[$Points$],[$Earned$]]],[$On Engineering Paper,$5,],[$Turned in On Time,$5,],[$Moment Distribution,$20,],[$Analyzing Structure for Reactions,$15,],[$Shear and Moment Diagram, Deflected Shape,$15,],[$Simply Supported Analysis,$10,],[$Cantilever with Drop in Section Analysis,$10,],[$Discussion$,10,],[$Neatness and Organization,$10,],[$Extra credit $($used pencil$),5,],[$Total Points,$105,]]$