Problem $3.$ Design the header over the second$-$floor bonus room exterior wall $(7\text{'}-0"$ clear span$).$Use Long$-$hand Method. $($Restrict your design to the use of only $2$ x $10$ lumber.$)$Load Information:Roof Snow Load: $40$ psf$.$Roof Dead Load: $15$ psf$.$Partition wall Load: $10$ psf$.$Header self$-$weight: estimate at $20$ plf$.$Floor Live Loads: $40$ psf$.$Floor Dead Loads: $20$ psf$.$Deflection criteria $-$ Roof members: L$/240($Live Load $+$ Dead Load$)$ Material Specifications $-$Built$-$up wood beams shall be Douglas Fir$-$Larch #$1$ grade.$($See Ambrose Table $5\mathrm{.}1$a for base stress values$)$