Simply supported beam spans $30$ft$.$There are $2$point loads, equally spaced, $10$from each end. The point loads are each a total of $20$K$,$DL $=8$K$,$LL $=12$K$.$Assume the beam is laterally braced at the same location as the point loads, Lb$=10\text{'}.$Assume deflection limits are L$/360$for LL only and L$/240$for TL$.$

$-$Select a beam based on bending

$-$check the shear

$-$check the deflection for both live load only and total load with limits