Why would a lubricant manufacturer be grading framing lumber? More likely, it's the Interior Lumber Manufacturers Association. If your joists are truly #3, their maximum span for 40 PSF Live Load is 11'-9". If they are #1 or #2, their maximum span is 15'-5", according to the table in the building code.
I can't find an explanation of their grade stamp, but if your joists are truly #3 SPF, there is no hope. If they are #1 or #2, which they should be, the deflection for your span is 0.4345 inches, and 1/360 would be 0.4444 inches, so you should be OK, by a hair.
Architect (NY) and Home Designer (PA)
Posts: 2509 | Location: Tobyhanna, PA | Registered: 24 October 2005