How the math works
Run = span ÷ 2 − ½ ridge (1-1/2"): 72" − 3/4" = 5' 11-1/4"Slope factor for 6/12 = √(144 + 36) ÷ 12 = 1.1180Line length = 71.250" × 1.1180 = 6' 7-11/16"Overhang = 12" × 1.1180 = 1' 1-7/16"Total = 7' 9-1/16" → next stock length 8'
Rafter size (2x6 / 2x8 / 2x10 / 2x12) depends on spacing, species and snow load — check the IRC rafter span tables (Section R802) for your run.
Trade pro tips
- The horizontal run for this roof is 5' 11-1/4" — that is the number to look up in the IRC rafter span tables.
- Cut one pattern rafter, test it at both ends of the building, then use it to mark the rest.
- Measure line length along the top edge from the ridge plumb cut to the birdsmouth heel.
Frequently asked questions
How long are the rafters for a 12 ft span with a 6/12 pitch?
6' 7-11/16" from ridge to wall line, 7' 9-1/16" including a 12" overhang (1-1/2" ridge board deducted). Buy 8' boards.
How tall is a 6/12 roof on a 12 ft wide building?
The ridge rises 2' 11-5/8" above the top of the wall plate (run 5' 11-1/4" × 6/12), not counting rafter depth.
What are the rafter cut angles for 6/12?
Plumb cut (ridge and tail) 26.6°, seat cut of the birdsmouth 63.4°. On a speed square, pivot to "6" on the common scale.
How many rafters for a 12 ft wide roof?
Two per rafter pair (one each side). Pairs = building length × 12 ÷ spacing + 1 — a 20 ft long 12' wide building at 16" OC takes 16 pairs (32 rafters) of 8' stock.