Determine the compression capacity for the built$-$up laced column $($Figure $1).$ Assume effective length $=10m$ and pinned boundary condition at both ends $($that is$,$ effective length factor $K=1\mathrm{.}0).$ Check the overall section, individual channels, lacing angles and bolted connections. Lacing angles should be checked both for compressive and tensile loads.

Assume E$350$ steel for channel and lacing plate, bolt ultimate stress as $400$MPa, bearing type bolts, bolt partial safety factor ${}_{mb}=1\mathrm{.}25$

Relevant sections of IS $800-2007$ are provided on page $4$

Column cross section properties are as follows:

$\backslash$table$[[$Name$,$Area $m{m}^2,Cy[mm],1x[c{m}^4],1ly[c{m}^4],rx,ry$