How the math works
Run = span ÷ 2 − ½ ridge (1-1/2"): 168" − 3/4" = 13' 11-1/4"Slope factor for 6/12 = √(144 + 36) ÷ 12 = 1.1180Line length = 167.250" × 1.1180 = 15' 7"Overhang = 12" × 1.1180 = 1' 1-7/16"Total = 16' 8-7/16" → next stock length 18'
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 13' 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 28 ft span with a 6/12 pitch?
15' 7" from ridge to wall line, 16' 8-7/16" including a 12" overhang (1-1/2" ridge board deducted). Buy 18' boards.
How tall is a 6/12 roof on a 28 ft wide building?
The ridge rises 6' 11-5/8" above the top of the wall plate (run 13' 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 28 ft wide roof?
Two per rafter pair (one each side). Pairs = building length × 12 ÷ spacing + 1 — a 20 ft long 28' wide building at 16" OC takes 16 pairs (32 rafters) of 18' stock.