$(7\mathrm{.}2$ Please$)$

$7\mathrm{.}1$ Design the roof rafters with the following information; check for shear and deflection.

Span: $10ft$

Spacing: $16$ in$.$ OC

Species: Southern Pine #$1$ Dense

Dead load $=15psf$

Roof live load $=20psf$

Roof sheathing provides the full lateral support.

$7\mathrm{.}2$ Design the beam in Problem $7\mathrm{.}1$ if the beam is supported only at the ends.