Select the lightest W$16$ section $($A$992$ steel$)$ for the beam shown below. All loads are factored. The distributed load includes the self$-$weight of the beam.

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

Verify the flexural strength for the critical segments.

Disregard shear strength and deflection requirements.

If you used a table or graph for answering a question, indicate the corresponding reference and write the number of the equation used to calculate that value. Justify the use of that equation.

All factored loads

Distributed load includes self$-$weight of beam