Select the lightest W$18$ section $($A$992$ steel$)$ for the beam shown below. All forces are factored loads. The concentrated and distributed loads are inclined $5$ degrees with respect the vertical line.

They do not pass through the shear center of the beam.

Assume the distributed load includes the self$-$weight of the beam.

The beam is laterally braced at $R,S,T,$ and $U.$

Check the adequacy of the beam for bending strength using the AISC Manual aids.

Provide the number of the table or figure of the aids being used and the number of the equation.

Justify the use of them.

Disregard deflection and shear strength requirements.

All loads are inclined $5$ degrees with respect to the vertical line

All loads do not pass through the shear center of the beam

Distributed load includes the self$-$weight of the member

Laterally supported at $R,S,T,$ and $U$