Refer to the beam loading shown in the Figure below. Wood is Douglas Fir$-$Larch, Select Structural, and normal temperature and moisture conditions apply. Loads are $D+L$ and consider only the point load shown. The beam is simply supported and laterally braced at midspan as shown below

Find $F^{\text{'}}b,F^{\text{'}}v,$ and $E^{\text{'}}.$

Find the maximum load $P$ based on bending strength.

Find the maximum load $P$ based on shear strength.

Hint: $M_{\text{m}\text{a}\text{v}}=P\frac{L}{4}$ and $V_{\text{m}\text{a}\text{v}}=\frac{P}{2}$