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

16-step stair stringer

Total rise it covers 64into124in
Risers
16
Typical total rise
112in112.000 in9 ft 4 in
Board length
18ft
The stringer board as it lies for marking, with 16 notches cut along its top edge from a 18-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 Board18 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
100in 61/4in 121/2in 1871/2in 2121/2in 2235/8in 20ft Within
101in 65/16in 123/8in 1855/8in 2115/16in 2221/4in 20ft Within
102in 63/8in 121/4in 1833/4in 2103/16in 22015/16in 19ft Within
103in 67/16in 121/8in 1817/8in 209in 2195/8in 19ft Within
104in 61/2in 12in 180in 2077/8in 2183/8in 19ft Within
105in 69/16in 117/8in 1781/8in 2063/4in 2171/16in 19ft Within
106in 65/8in 113/4in 1761/4in 20511/16in 21513/16in 19ft Within
107in 611/16in 115/8in 1743/8in 2049/16in 2149/16in 19ft Within
108in 63/4in 111/2in 1721/2in 2031/2in 2133/8in 19ft Within
109in 613/16in 113/8in 1705/8in 2021/2in 2121/8in 19ft Within
110in 67/8in 111/4in 1683/4in 2017/16in 21015/16in 19ft Within
111in 615/16in 111/8in 1667/8in 2007/16in 2093/4in 18ft Within
112in 7in 11in 165in 1997/16in 2085/8in 18ft Within
113in 71/16in 107/8in 1631/8in 1987/16in 2071/2in 18ft Within
114in 71/8in 103/4in 1611/4in 1971/2in 2063/8in 18ft Within
115in 73/16in 105/8in 1593/8in 1969/16in 2051/4in 18ft Within
116in 71/4in 101/2in 1571/2in 1955/8in 2043/16in 18ft Within
117in 75/16in 103/8in 1555/8in 19411/16in 2031/16in 18ft Within
118in 73/8in 101/4in 1533/4in 19313/16in 2021/16in 18ft Within
119in 77/16in 101/8in 1517/8in 19215/16in 201in 18ft Within
120in 71/2in 10in 150in 1921/16in 200in 18ft Within
121in 79/16in 10in 150in 1923/4in 2005/8in 18ft Within
122in 75/8in 10in 150in 1933/8in 2013/16in 18ft Within
123in 711/16in 10in 150in 194in 20113/16in 18ft Within
Solution

Every dimension of this flight

Worked at a total rise of 112.00 inches.
DimensionValue
Typical total rise 112in112.00 in9 ft 4 in
Risers 16
Riser height 7in7.000 in
Treads 15
Tread run 11in11.000 in
Total run 165in165.000 in13 ft 9 in
One step along the edge 131/16in13.038 in
Marked length 2085/8in208.614 in17 ft 4.61 in
Stringer length 1997/16in199.422 in16 ft 7.42 in
Board length 18ft
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
2085/8in208.614 in17 ft 4.61 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
  4. 7in×11in 521/8inFrom the foot
  5. 7in×11in 653/16inFrom the foot
  6. 7in×11in 781/4inFrom the foot
  7. 7in×11in 911/4inFrom the foot
  8. 7in×11in 1045/16inFrom the foot
  9. 7in×11in 1173/8inFrom the foot
  10. 7in×11in 1303/8inFrom the foot
  11. 7in×11in 1437/16inFrom the foot
  12. 7in×11in 1567/16inFrom the foot
  13. 7in×11in 1691/2inFrom the foot
  14. 7in×11in 1829/16inFrom the foot
  15. 7in×11in 1959/16inFrom the foot
  16. 7in×11in 2085/8inFrom 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 16-step stringer go?
A 16-step stringer covers 64 to 124 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 16-step stringer?
At a 112 inch total rise the marks run 208.614 inches along the edge of the board, so the shortest board that takes them with the top and bottom cuts is 18 feet.
How do you lay out a 16-step stringer?
Set a framing square to 7.000 inches on the tongue and 11.00 inches on the blade and step it 16 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