Stairs

Stair tread calculator

A stair tread board is the unit run plus the nosing deep, and each riser board is one riser minus the tread thickness. For a 8′ 9″ rise with 10 in runs and 1 in nosings, you cut 13 treads 11″ deep and 14 risers 6-1/2″ high.

Framing Calculators editorial teamUpdated 3 sources

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Stair tread calculator

Tread and riser boards for a closed stair: sizes, counts and stock.

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Type lengths the way you read a tape: 8' 9", 7 3/4 or 7.75. Metric: 2667 mm or 2.667 m.

tread 11″riser bd 6-1/2″nosing 1″
Treads13 × 11″36″ long, 1″ thick
Risers14 × 6-1/2″boards 36″ long
Riser height7-1/2″

Cut list

Tread depth
11″10″ run + 1″ nosing
Riser board height
6-1/2″7-1/2″ riser − 1″ tread
Tread stock
7 × 8′ 0″
Riser stock
7 × 8′ 0″

Riser boards run from the top of one tread to the underside of the next, so each is one riser height less the tread thickness.

How it works. Risers = rise ÷ max riser, rounded up; riser height = rise ÷ risers. Tread board depth = run + nosing. Riser board height = riser − tread thickness. Boards per stock length = stock ÷ stair width, rounded down.

Stair tread and riser board sizes

Tread and riser boards are sized from the stair layout: the tread covers one unit run plus the nosing that overhangs the riser below, and the riser board fills the gap between the top of one tread and the underside of the next. The IRC measures tread depth from nosing to nosing, so the board is deeper than the run by the nosing projection[1].

Tread and riser boards for common stairs (1 in treads, 1 in nosing, IRC)
Total riseRisersRiserTread board depth (10 in run)Riser board
6′ 0″107-3/16″11″6-3/16″
7′ 0″117-5/8″11″6-5/8″
8′ 0″137-3/8″11″6-3/8″
8′ 9″147-1/2″11″6-1/2″
9′ 0″147-11/16″11″6-11/16″
9′ 6″157-5/8″11″6-5/8″

Stair riser calculator: height and count

The riser height is the total rise divided by the number of risers, and the count is the rise divided by the maximum riser, rounded up: 7-3/4 in under the IRC (R311.7.5.1, R318.7.5.1 in 2024)[1][2]. Every riser in the flight must match within 3/8 in, so cut all riser boards from one measurement after the stringers are in. The full layout, including the code check, is in the stair calculator.

Board widths and tread material

  • Solid treads: one board the full depth; 11-1/4 in (a 1x12 or 2x12, PS 20) covers a 10 in run with a 1-1/4 in nosing[3].
  • Two-board treads on decks: two 5-1/2 in boards with a gap make about 11-1/4 in; see the deck stair calculator.
  • Nosing rules: 3/4 to 1-1/4 in where the tread is under 11 in; details on the stair nosing page.

Common tread and riser mistakes

  • Cutting risers to the full riser height. The tread sits on top, so the board is one tread thickness shorter.
  • Treads cut to the run only. Add the nosing, or the treads stop flush with the risers.
  • Cutting before the stringers are set. Measure each opening; a stair that is out by 1/8 in shows at the top step.

Frequently asked questions

How deep should a stair tread board be?

The unit run plus the nosing: a 10 in run with a 1 in nosing needs an 11 in tread board.

How tall is a stair riser board?

One riser height minus the tread thickness. With 7-1/2 in risers and 1 in treads, cut 6-1/2 in riser boards.

How many treads does a stair have?

One fewer than the risers, because the upper floor is the last step.

What does a stair riser calculator do?

It divides the total rise into equal risers no taller than the code maximum, 7-3/4 in under the IRC.

Sources

  1. 2021 International Residential Code, Chapter 3: Building Planning (R301.5, R311.7 stairways, R312 guards) · International Code Council, read-only Digital Codes, accessed November 13, 2026
  2. 2024 International Residential Code, Chapter 3 (R318.7 stairways, R320 handrails, R321 guards) · International Code Council, accessed November 13, 2026
  3. Voluntary Product Standard PS 20-25, American Softwood Lumber Standard · National Institute of Standards and Technology, January 2025