Using Southern Pine No$.22$x$\text{'}$s with a $16"$ spacing on center, select the joist to be u to frame a floor spanning $14ft.$ Consider the joist to be repetitive members. Assume normal temperature and moisture conditions and load duration of $10$ years. Check bending stress, shear stress and Live Load $($LL$)$ deflection.

$LL$ Allowable deflection $=\frac{L}{360}$

$LL=30l\frac{b}{f}{t}^2$

$DL=10l\frac{b}{f}{t}^2$