How the math works
Run = span ÷ 2 − ½ ridge (1-1/2"): 192" − 3/4" = 15' 11-1/4"Slope factor for 12/12 = √(144 + 144) ÷ 12 = 1.4142Line length = 191.250" × 1.4142 = 22' 6-7/16"Overhang = 12" × 1.4142 = 1' 5"Total = 23' 11-7/16" → next stock length 24'
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 15' 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 32 ft span with a 12/12 pitch?
22' 6-7/16" from ridge to wall line, 23' 11-7/16" including a 12" overhang (1-1/2" ridge board deducted). Buy 24' boards.
How tall is a 12/12 roof on a 32 ft wide building?
The ridge rises 15' 11-1/4" above the top of the wall plate (run 15' 11-1/4" × 12/12), not counting rafter depth.
What are the rafter cut angles for 12/12?
Plumb cut (ridge and tail) 45.0°, seat cut of the birdsmouth 45.0°. On a speed square, pivot to "12" on the common scale.
How many rafters for a 32 ft wide roof?
Two per rafter pair (one each side). Pairs = building length × 12 ÷ spacing + 1 — a 20 ft long 32' wide building at 16" OC takes 16 pairs (32 rafters) of 24' stock.