Problem Statement: Select the lightest W sections for columns AD and BC in the unbraced rigid frame. The beam$-$column connections are rigid and the frame is fixed at A and B$.$ The system is braced in the direction perpendicular to the frame at the beam$-$column joints. The loads shown are service loads. The gravity service load is $\backslash (40\backslash \%\backslash )$ dead and $\backslash (60\backslash \%\backslash )$ live. The lateral load is due to wind. Assume A$992$ steel for the columns and a maximum drift ratio of $\backslash (1/300\backslash )$ for the frame. Determine the required strength of the columns in accordance with the Moment Amplification Method using the member moment of inertia distribution shown. Assume LRFD load combination $\backslash (4\backslash$left$(1\mathrm{.}2\backslash$mathrm$\{$D$\}+1\mathrm{.}0\backslash$mathrm$\{$~W$\}+0\mathrm{.}5\backslash$mathrm$\{$~L$\}+0\mathrm{.}5\backslash$left$(\backslash$mathrm$\{$~L$\}\_\{$r$\}\backslash$right$.\backslash$right$.\backslash )$ or S or R$\backslash ()\backslash ))$ will control the desian.