$**$Repeat Problem $12\mathrm{.}4$ if the frame is braced against sideway and M$1=$M$2**$

$12\mathrm{.}4$ The column section shown in Fig. $12\mathrm{.}10$ is part of a frame unbraced against

sidesway and supports an axial load P$\_($D$)=166$K and a moment M$\_($D$)=107$K$*$ft

due to dead load and P$\_($L$)=115$K and M$\_($L$)=80$K$*$ft due to live load. The column

is bent in single curvature and has an unsupported length l$\_($u$)=16$ft$.$ The

moment at the top of the column is M$\_(2)=1\mathrm{.}5$M$\_(1),$ the moment at the bottom of

the column. Check if the section is adequate using f$\_($c$)^(\text{'})=5$ksi,f$\_($y$)=6$oksi,$\backslash$psi $($top$)=$

$2\mathrm{.}0,$ and bottom