How to calculate stair risers
Divide the total rise by the tallest riser you want, and round up — that's the number of risers. Then divide the rise by that number for the exact riser height. A 9-foot (108") rise with a 7 1/2" target needs 108 ÷ 7.5 = 14.4, so 15 risers of 7.2" each.
There's always one less tread than risers, because the top "step" is the upper floor. Fifteen risers means 14 treads; at 10 1/2" each the stairs run 147" — just over 12 feet.
Residential code limits
| Rule (IRC R311.7) | Limit |
|---|---|
| Riser height | 7 3/4" maximum |
| Tread depth | 10" minimum |
| Nosing (when treads are under 11") | 3/4" to 1 1/4" |
| Headroom | 6' 8" minimum |
| Width | 36" minimum |
| Difference between risers in a flight | 3/8" maximum |
The comfort rule
Stairs feel natural when two risers plus one tread add up to about 24 to 25 inches. A 7.2" riser and 10 1/2" tread gives 24.9" — comfortable. Steeper stairs save floor space but tire people out faster.
Stringers and the stairwell opening
Stringers are usually cut from 2x12s, spaced no more than about 18" apart for 1"-thick treads, so a 36"-wide stair takes three. Keep at least 3 1/2" of solid wood below the notches. The bottom riser on the stringer is cut shorter by the tread thickness so the first step matches the others once the tread is on.
The opening in the floor above has to be long enough that anyone on the stairs gets 6' 8" of clearance. The calculator works this out from the riser height and the thickness of the floor above.
Building a deck to go with it? Use the deck board calculator and the baluster spacing calculator.
Sources
- IRC 2021 Section R311.7 Stairways — International Code Council