For the column shown in Figure $2,$ determine the maximum load $P$ if the factor of safety is $3.$ The column is fixed at the bottom $($point A$)$ and fixed at the top $($point C$).$ At point B$,$ located exactly halfway between A and $C,$ the column is braced in the $y-$direction.

Given: $E=200$GPa

${}_Y=500$MPa

Figure $2$