Question $3(35$ marks$)$:

Find the moments at the joints of the sway frame below, then calculate and draw the shear force and

bending moment diagrams for the beam below, showing all significant values. Also provide the

reactions. Sketch the deflected shape.

Show all workings for full marks. Carry out as many iterations needed for $4$ significant figures of

similarity of moments at internal joints. Note that both point loads below are at mid$-$span. A

spreadsheet will be helpful. Show all workings for full marks.