Problem #$1-$ Determine the adequacy $($bending and shear$)$ of a $28$ joist based on the following information:

Wood used is Douglas fir larch$-$No$.2$

Span $=12\text{'}$

Joist is carrying a uniform distributed load of $100l\frac{b}{f}t$

Adjustment factors:

a$.10-$year load duration $=1$

b$.$ Repetitive member $=1\mathrm{.}15$