Problem#$1$: A frame given in Fig. $1$ is composed of $W-$shapes $(F_y=355$MPa$).$ Lateral joint translation is prevented by the braced frames in the perpendicular direction. Determine the following:

$($a$)$ Show the column orientations required to obtain the maximum compressive strength possible.

$($b$)$ Draw the deformed shape of the frame when column AB and CD buckles about $x-$ and $y$ axes, respectively.

$($c$)$ Find the effective length factors for columns $AB$ and $CD.$

$($b$)$ Find the maximum axial load in compression that can be supported by columns AB and CD$.$