My garage is currently unfinished and open to the rafters above. Several years ago I opened a permit to add a storage floor and finish the ceiling. The city manager helped me draw a simple plan consisting of 2x8 joists on 16" centers, with a span of 20' from front to back. These joists rest on the wall plate in front and wall plate above a 4x12 beam spanning the garage door opening. When I called for inspection of the framing, the inspector said he could see the joists were ok, but he couldn't sign it off because I didn't have any load equations. I recently checked span calculators on-line and was shocked to see that none show a 2x8 spanning 20'. I believe the wood I used was douglas fir. Please tell me I don't need to rip this out and start over! The area is for storage only, no living space. Heavy items will be placed along the walls, not in center of the span. Any advice would be greatly appreciated.

If I used that, I would only have approximately 6' from the bottom of the beam to the garage floor. I will only have an attic space above that will be approximately 6' high at the ridge (highest point). My roof will be about a 5/12.