Determine if a $15-$ ft long $614$ beam is adequate to support a dead load $w_D=0\mathrm{.}16ki\frac{p}{f}t$ and a live load $w_L=0\mathrm{.}25ki\frac{p}{f}t.$ The member is unincised$-$Select Structural Eastern Hemlock with MC $>19\%$ and a normal temperature range. Live load deflection should not exceed L$/360$ and total deflection should not exceed $\frac{L}{240}.$ The member is part of a floor system and is repeated every $26-in.$ It is also fully braced by the floor sheathing and sits on a $4-$in wide beam $($nominal$)$ on each side. Make sure you check all limit states even if the first one you check shows the beam to be inadequate.