$11-12$ and $11-13.$ Analysis problems in braced frames $-$ using loads and moments obtained using the requirements of the Effective Length Method.

$11-12.$ A W$12\backslash (\backslash$times $72\backslash )$ beam$-$column member in a braced frame must support the service loads in Fig. P$11-12.$ The member is A$992-$Grade $50$ steel, $\backslash ($ C$\_\{$b$\}\backslash )$ may be assumed to be $1\mathrm{.}0,$ and bending is about the strong axis. The member is laterally braced at its ends only and $\backslash ($ L$\_\{$x$\}=$L$\_\{$y$\}=15\backslash$mathrm$\{$ft$\}\backslash ).$ Is the member adequate?