A roofing company mistakenly cut a 2 foot section out of a roof joist, on my home. I'm seeking a reference to what would constitute a proper repair, preferably a prescriptive code or a load table. I am aware of the American Wood Council tables, but that's for uncut modern lumber and at this point I have neither.
This rafter spanned 14 feet with a mid span support. The roof is flat, with 2x4 rafters at 24 inch on center, topped with 1x6 boards, all nailed. This is all true dimension rough cut Douglas Fir: good solid stuff.
One end of the cut rafter buts against a brick chimney. The house was built in 1938 and is in an earthquake zone (Hayward Fault).
The roofer said nothing but screwed some plywood on top to cover the gap.
Update 1: The roofer added a patch. The gap is almost at the center beam. The patch overlap is 9 inches on the right side, and about 4 inches on the left. On the left both new and patched rafters straddle the center beam.
The only access is through a 14 inch hole below.
After consulting with a structural engineer (who wanted 12+ inches of overlap), we ended up compromising a bit. A filler piece will take compressive load when the chimney slams into the house in a quake: