b$)$ A $460$UB$67\mathrm{.}1$ column is $15$ meters tall is subject to a live and dead load of $185kN$ and $100kN,$

respectively. The column is simply supported at both ends and has an intermediate restrain

which prevent later deflection in the minor axis. Determine if this column can support this load

to satisfy ULS design criteria. $($Note: Show full calculations for kf$)(10$ marks$)$

c$)$ A $3\mathrm{.}5m$ high square storage platform is subject to a $4$kPa live load and a $1\mathrm{.}5$kPa super imposed

dead load which is distributed to the $2$ supporting frames. The frames are made from

$250$UB$25\mathrm{.}7$ sections spaced at $6m.$ The column supports are fixed, and the beams are pinned.

Analysis yielded that ULS earthquake loading was most critical. Under this load case it was found

that the structure is subject to a lateral force equivalent to $20\%$ of the floor loading. Analyse a

single frame to check if the column and beam section are adequate to sustain the load. Should

the sections not satisfy ULS requirements, suggest methods and section size to satisfy these

requirements. $(10$ marks$)$