Select the lightest W section $($A$992$ steel$)$ for the beam shown below. All loads are factored.

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

Free end $(U)$ is unbraced.

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.

$\backslash$table$[[$Student$\text{'}$s last name beginning with letter,W section to be selected$],[A$ to $L,$W $12],[M$ to $Z,$W $10]]$