Problem Statement: A W$18$x$35$ beam $($A$992)$ is simply supported, spans ${25}^{\text{'}}-0^{\text{'}\text{'}},$ and is laterally braced only at the supports. It is subjected to a triangularly distributed snow load with maximum magnitude $w($in units of force per length$).$ Assume all other loads, including self$-$weight, are negligible.

Considering only flexural strength, determine the maximum snow load that the beam can support.