From AISC Manual Table $2-4,$

$L44\frac{1}{2}$

ASTM $A36$

$F_y=36$ksi

$F_u=58$ksi

From AISC Manual Table $1-7,$

$\frac{?}{{?}_4}4\frac{1}{2}$

$A_g=3\mathrm{.}75i{n}^2$

$r_z=0\mathrm{.}776in.\frac{?}{b}$

$ar(y)=1\mathrm{.}18in.=\stackrel{}{x}$

Select the lightest beam that satisfies the following requirement.

$($Check bending only and assume Major axis bending and ASD$)$

Single spam beam with a pin on one end and a roller on the other.

A uniformly distributed load of $8$ Kips$/$ft is applied on full span.

A $18$ kips point is applied at mid$-$span

The span is $150$ inches

a$.W1240$

b$.$ W$12$x$65$

c$.$ W$10$x$68$

d$.W2144$