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Stair Calculator

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How to Use This Calculator

1. Enter your total rise — the finished-floor-to-finished-floor height the staircase has to climb, measured straight up. For a deck this is the ground to the top of the decking; indoors it is the height between two floors.
2. Enter your total run — the horizontal distance the staircase is allowed to cover from the bottom step to the top, measured along the ground.
3. Read your stair layout instantly: the number of steps, the rise and run of each step, the stringer length, and the stair angle.
4. Open More options to switch to metric (centimeters), set a different ideal step height, or force an exact number of steps.

Rise, run, and how stairs are sized

Every staircase is defined by two measurements: the total rise (how far up it goes) and the total run (how far out it reaches). A stair calculator splits those totals into equal steps. Each step has a rise (its height) and a run, also called the tread depth (how far your foot lands).

The number of vertical faces is the number of *risers*; the number of horizontal boards you actually walk on is the number of *treads*, which is always one fewer than the risers because the upper floor acts as the final tread. Getting a comfortable rise and run for stairs matters more than most people expect — uneven or too-steep steps are a leading cause of trips.

A common target is a 7 to 7.75 inch rise paired with a 10 to 11 inch tread. This tool aims for a 7.5 inch step by default, then rounds to a whole number of steps so every step is identical. The stringer is the sawtooth board that carries the treads; its length is the diagonal from the bottom to the top, which is why the tool also reports the stair angle.

The stair formula

Number of steps (risers) = total rise ÷ ideal step rise, rounded to the nearest whole number

Rise per step = total rise ÷ number of steps

Treads = risers − 1, so run per step = total run ÷ (risers − 1)

Stringer length = √(total rise² + total run²)

Stair angle = arctangent(total rise ÷ total run)

Example: a 60 in rise ÷ 7.5 in ideal = 8 steps. Each step rises 60 ÷ 8 = 7.5 in. With a 105 in total run and 7 treads, each tread is 15 in deep, the stringer is √(60² + 105²) ≈ 120.93 in, and the angle is about 29.7°.

Common total rises and step counts

Total riseStepsRise per stepRun at 11 in treads
36 in57.20 in44 in
45 in67.50 in55 in
60 in87.50 in77 in
90 in127.50 in121 in
108 in147.71 in143 in
120 in167.50 in165 in

Examples

Deck stairs, 60 in rise: You want stairs off a deck that sits 60 inches above the yard, with room for a 105 in run. The calculator returns 8 steps at 7.5 in each, 15 in treads, a 120.93 in stringer, and a 29.7° slope — a comfortable, code-friendly flight.

How many steps for an 8 foot rise: An 8 ft basement-to-first-floor height is 96 in. At a 7.5 in target that is 13 steps (96 ÷ 13 ≈ 7.38 in each). Give it a 132 in run and each of the 12 treads is 11 in deep.

Tight indoor stairwell: With a 108 in rise and only a 96 in run you get 14 steps of 7.71 in and 13 treads of about 7.4 in — steep and cramped, a sign you need more horizontal space or a switchback.

Tips for comfortable, code-safe stairs

- Keep every step identical. Building codes limit the difference between the tallest and shortest riser in a flight to about 3/8 inch. Rounding to a whole number of steps keeps them even.
- Check the 2R + T rule. A comfortable stair satisfies 2 × rise + tread ≈ 24–25 inches. A 7.5 in rise with a 10 in tread gives 25 — right in the sweet spot.
- Mind the maximum rise. Most US residential codes cap the riser at 7.75 in and require a tread of at least 10 in. If your rise per step comes out above 7.75, add a step in More options.
- Buy the next size up for stringers. A 120.93 in stringer needs a board longer than 10 ft once you account for the plumb and seat cuts — order a 12 ft 2×12.
- Confirm headroom. You need at least 6 ft 8 in of clearance above the stair nosings; a steep angle can create a low spot at the top of the flight.

Frequently Asked Questions

How many steps do I need for a 60 inch rise?
Divide the total rise by a comfortable step height of about 7.5 inches: 60 ÷ 7.5 = 8 steps, each rising exactly 7.5 inches — a code-friendly flight. Enter 60 as the total rise above and the calculator rounds to the nearest whole number of steps for you.
How do I calculate stair stringer length?
The stringer is the diagonal board that supports the treads, so its length is the hypotenuse of the rise and run: stringer = √(total rise² + total run²). For a 60 in rise and 105 in run that is √(3600 + 11025) ≈ 120.93 in. Always buy the next standard board length up to leave room for the top and bottom cuts.
What is a comfortable rise and run for stairs?
Aim for a rise of 7 to 7.75 inches and a tread run of 10 to 11 inches. A quick check is the 2R + T rule: two times the rise plus the tread should land between 24 and 25 inches. A 7.5 in rise with a 10 in tread equals 25 — ideal.
How do I find the stair angle?
The angle is the arctangent of the total rise divided by the total run. Most comfortable staircases land between 30 and 37 degrees; anything over 37° feels steep, and about 42° is the usual maximum for residential stairs. This stair calculator reports the angle automatically once you enter the rise and run.
Can I use this stair calculator in metric?
Yes. Open More options and switch the units to metric to enter your total rise and run in centimeters. The step count, rise and run per step, and stringer length are all returned in centimeters, and the default step height adjusts to about 18 cm.

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