Problem #$2-$ Determine the adequacy $($bending$,$ shear and bearing$)$ of a $210$ joist based on the following information:

Joist is continuously supported $($both ends and at midspan$)$

Wood used is Douglas fir south $-$ No$\mathrm{.}1$

Dead load $=20psf$ and live load $=40psf$

Span $={20}^{\text{'}}$ and spacing is $24"\text{'}$

Joists are supported by $412$ beams

Adjustment factors:

a$.$ Permanent load duration $=0\mathrm{.}9$

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