Question $1(20$ Marks$)$

Figure Q$1$ shows a simply$-$supported rolled I$-$beam, fully restrained laterally along its

length and subject to the factored $($ULS$)$ load shown.

$($a$)$ Sketch and annotate the bending moment diagram and the shear force diagram.

$(4$ marks$)$

$($b$)$ Select a suitable trial structural steel section for the beam. $(3$ marks$)$

$($c$)$ Check the capacity of the beam selected in Q$1($b$)$ to safely resist the beam

forces estimated in Q$1($a$),$ so the beam should be checked for:

$($i$)$ Local buckling

$($ii$)($In$-$plane$)$ bending moment resistance

$($iii$)$ Shear resistance

$($iv$)$ Combined shear and bending $(11$ marks$)$

$($d$)$ As a design engineer, how would you ensure that the beam is being laterally

restrained along its length? What would be the consequences of it not being

adequately laterally restrained? $(2$ marks$)$