Problem $3$

The beam, shown below, is a W$14$X$38.$ Assume that the beam is laterally supported at the ends only, and that the

applied load $P$ is a live load on the beam $($i$.$e$.P=P_L).$

If the yield stress $F_y=50$ksi, determine whether the $W14x38$ section is adequate for the given loading. For this

problem, do not use the design charts, but use the formulae. Disregard self$-$weight. Disregard local buckling.

Assume major axis bending.