Stair Rise Calc
Answer One flight, cut as a single stringer.

3-step stair stringer

Total rise it covers 12into23in
Risers
3
Typical total rise
21in21.000 in
Board length
4ft
The stringer board as it lies for marking, with 3 notches cut along its top edge from a 4-foot board. One notch is dimensioned 7.000 inches on the rise and 11.00 inches on the run, the waste is hatched, and the bottom cut is dropped 1.00 inches. Rise mark7 in Run mark11 in Bottom cut1 in Board4 ft
Range

Every total rise this stringer covers

Pick your own total rise. Every row is cut with the same number of risers.
Total rise Riser Tread Total run Stringer Marked Board Result
12in 4in 14in 28in 307/16in 4311/16in 5ft Within
13in 45/16in 14in 28in 307/8in 4315/16in 5ft Within
14in 411/16in 14in 28in 315/16in 441/4in 5ft Within
15in 5in 14in 28in 313/4in 445/8in 5ft Within
16in 55/16in 14in 28in 321/4in 4415/16in 5ft Within
17in 511/16in 1311/16in 275/16in 323/16in 443/8in 5ft Within
18in 6in 13in 26in 315/8in 4215/16in 5ft Within
19in 65/16in 125/16in 2411/16in 311/8in 419/16in 4ft Within
20in 611/16in 1111/16in 235/16in 303/4in 405/16in 4ft Within
21in 7in 11in 22in 307/16in 391/8in 4ft Within
22in 75/16in 105/16in 2011/16in 303/16in 38in 4ft Within
23in 711/16in 10in 20in 301/2in 3713/16in 4ft Within
Solution

Every dimension of this flight

Worked at a total rise of 21.00 inches.
DimensionValue
Typical total rise 21in21.00 in
Risers 3
Riser height 7in7.000 in
Treads 2
Tread run 11in11.000 in
Total run 22in22.000 in
One step along the edge 131/16in13.038 in
Marked length 391/8in39.115 in3 ft 3.12 in
Stringer length 307/16in30.414 in2 ft 6.41 in
Board length 4ft
Angle 32.5°
Bottom cut deduction 1in1.000 in
Cut list

The marks, bottom to top

Measured along the edge of the board from the foot, after the bottom cut.
Marked length
391/8in39.115 in3 ft 3.12 in
Bottom cut deduction
1in
  1. 7in×11in 131/16inFrom the foot
  2. 7in×11in 261/16inFrom the foot
  3. 7in×11in 391/8inFrom the foot
Code

Each figure against the limit it has to meet

Dimension Limit Code Result
Riser height, maximum 73/4in IRC 2021 (residential) Within
Tread depth, minimum 10in IRC 2021 (residential) Within
Stair width, minimum 36in IRC 2021 (residential) Within
Riser height, minimum 4in ADA 2010504.2 Within
Riser height, maximum 7in ADA 2010504.2 Within
Tread depth, minimum 11in ADA 2010504.2 Within
Nosing projection, maximum 11/2in ADA 2010504.5 Within
Asked about this

Questions people search for

How high will a 3-step stringer go?
A 3-step stringer covers 12 to 23 inches of total rise, floor to floor. Below that the risers fall under the 4 inch minimum; above it they pass 7 3/4 inches.
How long a board do you need for a 3-step stringer?
At a 21 inch total rise the marks run 39.115 inches along the edge of the board, so the shortest board that takes them with the top and bottom cuts is 4 feet.
How do you lay out a 3-step stringer?
Set a framing square to 7.000 inches on the tongue and 11.00 inches on the blade and step it 3 times along the board, then drop the bottom cut by one tread thickness. Every mark is listed on this page, and the stringer layout page shows where each one goes.
Next door

Other step counts

Source

Where the limits come from

2 sources, with the date each was read

Building codes are adopted and amended locally. Confirm every figure with the code your jurisdiction has adopted before you cut.

Updated September 2026