Using the maximum moment, $M,$ and shear, $V,$ calculated in question $3$ above, and wood properties table

$M=6,250lbf$

$V=2,500lbf$

a$.$ Find properties of a $37$ beam $(2$ points$)$

b$.$ Determine the bending stress $f_b=\frac{M}{S},(5$ points$),$

c$.$ The shear stress $f_x{f}_x=1\mathrm{.}5\frac{V}{A}.(5$ points$)$

d$.$ Given the following allowable stresses;

i$.$ Allowable bending stress $Fb=1,200$

If$.$ Allowable shear stress $D_2=1=180$ determine if the beam is adequate or not and write your conclusion. $(5$ points$)$