QUESTION $1$

A two$-$span beam supports both a point load and a uniformly distributed load as shown in Figure Q$1.$ Support at B experiences a $10\mathrm{.}0mm$ settlement. El is constant and te $an{O}_{N}kN2$

Figure Q$1$: A two$-$span continuous beam

$($a$)$ Using three$-$moment theorem, determine support moment at $B.$

$(11$ Marks$)$

$($b$)$ Draw the shear force diagram and bending moment diagram for beam.

$[14$ Marks$)$

$($Sub$-$total $25$ Marks$)$