Problem #$2$:

Use A$992$ steel and select a W$-$shape for the following beam:

Simply supported with a span length of $30$ feet.

Laterally braced only at the ends.

Service dead load $=0\mathrm{.}75$kip$\frac{s}{f}t$

The service live load consists of $34-$kip concentrated load at the center of the span.

Use $C_b=1\mathrm{.}266$

Limit total deflection to L$/240$