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Stair Calculator
Enter the total rise from one floor to the next, the riser height you prefer, and the tread depth. We compute the actual riser height, the number of risers and treads, the total run, and an estimated stair angle.
Measurement unit
Vertical distance between finished floor levels. · e.g. 110
Most residential stairs aim for around 7 to 7.75 inches. · e.g. 7.5
Front-to-back depth of each step. 10 to 11 inches is common. · e.g. 11
Stair codes vary by location. This is a planning estimate, not a construction spec. Check local building codes before building.
15 risers
7.33 in
Actual riser height (target was 7.5 in)
Examples
110 in total rise, 7.5 in preferred, 11 in tread
15 risers, ~7.33 in actual, 14 treads
9 ft total rise, 7.5 in preferred, 11 in tread
14 risers, ~7.71 in actual, 13 treads
Deck step: 24 in rise, 6 in preferred, 11 in tread
4 risers, 6.00 in actual, 3 treads
How it works
Stairs are sized off two numbers: the vertical jump between floors (total rise) and a comfortable riser height. The number of risers is total rise divided by preferred riser, rounded to the nearest whole. Actual riser height is total rise divided by that count. Tread depth times the number of treads gives the total horizontal run.
Risers · round(rise ÷ preferred riser)
Actual riser · rise ÷ risers
Total run · treads × tread depth
Angle · atan(rise ÷ run)
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Frequently asked questions
Start with total rise (the vertical distance from finished floor to finished floor). Pick a preferred riser height. The number of risers is total rise divided by preferred riser, rounded to the nearest whole number. The actual riser height is total rise divided by that number of risers. The number of treads is one less than the number of risers for most layouts because the top landing replaces the top tread. Total run is the number of treads multiplied by the tread depth.
Residential stairs commonly target a riser height around 7 to 7.75 inches. Going higher than that gets steep and uncomfortable; going lower gets long and uses more floor space. Local building codes often set a maximum riser height; check yours before building.
Tread depths of 10 to 11 inches are common for residential interior stairs. Deeper treads (11 to 12 inches) are easier to walk on but use more floor length. Shallower treads (under 10 inches) are usually only acceptable on space-saving or alternating-tread stairs. Local code typically sets a minimum tread depth.
Picture a flight of stairs against a wall. Every step has a vertical face (the riser) and a horizontal face (the tread). The very top tread is the floor of the upper level, so it does not count as a stair tread. That leaves one fewer tread than riser. Some open or floating stair designs handle the top step differently; this calculator follows the standard residential layout.
Stair angle is the arctangent of total rise divided by total run. The calculator computes that angle in degrees using your inputs. The angle is a rough planning figure; comfortable residential stairs commonly land in the low-to-mid 30s. Local code may cap stair angle near 38 degrees.
Use it for planning only. Stair codes, riser and tread limits, headroom requirements, handrail rules, and inspection requirements vary by location and project type. Confirm the final design with your local building code and, when needed, a qualified professional before building.
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