Utinzo

Staircase Calculator

Calculate the number of steps, riser height, tread depth, and total stringer length for a staircase. Ensures compliance with building code guidelines.

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How to use this calculator

Risers = Rise / Riser height | 2R + T = 600–640 mm (comfort rule)

Rise = total floor-to-floor height. The tool flags risers of 150–220 mm, treads of 220–350 mm and a 2R + T outside 600–640 mm; these are generic figures built into the tool, not code requirements, and local building codes vary.

  1. 1

    Enter the total floor-to-floor height (rise) in millimetres.

  2. 2

    Set a target riser height — the calculator finds the nearest whole number of steps.

  3. 3

    Check the actual riser height and adjust tread depth to satisfy the 2R+T comfort rule.

  4. 4

    Always verify against your local building code before construction.

Frequently asked questions

How does the tool decide how many risers there are?

It divides the total rise by your target riser height and rounds to the nearest whole number, with a minimum of one. The actual riser height is then the total rise divided by that count. A 2,700 mm rise at a 180 mm target gives exactly 15 risers of 180.0 mm; 2,600 mm at 170 mm gives 15 risers of 173.3 mm, because 15.29 rounds down.

How is the horizontal run calculated?

This tool uses run = tread depth × (risers − 1) + nosing. The top floor is treated as the last tread, so a 15-riser flight has 14 treads. The nosing value is added once to the total run. For the defaults that is 260 × 14 + 25 = 3,665 mm. If you measure your run differently, compare it with this figure before cutting anything.

How is the stringer length calculated?

It is the straight-line length from the bottom to the top of the flight, the square root of rise² + run². The default flight comes to 4.552 m. It is a geometric length along the slope; it does not include the extra timber needed for the top and bottom cuts, trimming, or any notch or housing depth.

What is the 2R + T check?

It adds twice the actual riser height to the tread depth. For 180 mm risers and 260 mm treads that is 620 mm. The tool marks the result as passing between 600 and 640 mm and warns otherwise. These are figures built into the tool as a general comfort rule of thumb, not requirements from any code.

Which limits does it use for the warnings?

It flags a riser outside 150–220 mm, a tread outside 220–350 mm, and 2R + T outside 600–640 mm. They are generic figures built into this tool. Local building codes vary and a qualified professional or building inspector decides what applies to your stair, so a flight with no warnings is not an approval, and one with warnings is not necessarily non-compliant.

Why does stair width not change any result?

The width field is accepted but this version does not use it in any calculation, so changing it leaves the riser count, run and stringer length the same. Treat it as a note for your own planning, and work out tread material, stringer spacing and load requirements separately.

What if my rise is small or the target riser is larger than the rise?

The count is held at a minimum of one riser, so the calculation always completes. A 100 mm rise with a 500 mm target returns one riser of 100.0 mm and shows the warnings. Check any such result by eye, since it describes a single step.

Does it cover landings, winders, spirals or headroom?

No. It treats the stair as one straight flight with equal risers and equal treads. Landings, turns, winders, spiral stairs, headroom, handrails and guarding are not checked, and nothing here is a structural design, so rely on a qualified professional or inspector for those.

About staircase calculator

Staircase calculator — risers, treads, run and stringer length

Dividing a fixed height into equal steps

A staircase starts with one fixed number, the vertical distance between the two finished floors. That height has to be divided into a whole number of equal risers, so the calculator divides it by your target riser height and rounds to the nearest integer. The riser that results is rarely exactly the target: with a 2,600 mm rise and a 170 mm target the tool settles on 15 risers of 173.3 mm. Equal risers are what the rest of the sums depend on, so the actual riser height is shown to one decimal place and used for every later figure.

Worked examples

Four flights were run through the calculator. The first uses the default settings, the second shows a rise that does not divide evenly, the third uses a short tread with the nosing set to zero to trigger a warning, and the last is a tiny rise with an oversized target riser.

Risers, run, stringer and 2R + T for four fixed flights
Rise / target riser / tread / nosingRisersActual riserRunStringer2R + T
2,700 / 180 / 260 / 25 mm15180.0 mm3,665 mm4.552 m620 mm
2,600 / 170 / 280 / 25 mm15173.3 mm3,945 mm4.725 m627 mm
3,000 / 200 / 200 / 0 mm15200.0 mm2,800 mm4.104 m600 mm, tread warning
100 / 500 / 260 / 25 mm1100.0 mm25 mm0.103 m460 mm, two warnings

Run, stringer and the nosing

Horizontal run counts one tread fewer than the number of risers, because the upper floor acts as the final tread. In the first row that is 14 treads of 260 mm, 3,640 mm, plus the 25 mm nosing the tool adds once, for 3,665 mm. The stringer is then the hypotenuse of a right triangle with the rise and the run as its sides, √(2,700² + 3,665²) mm, which is 4.552 m. This is the length of the sloping line, so allow extra material for cutting it from stock.

Reading the comfort check and warnings

The comfort figure 2R + T gives a quick sense of whether risers and treads are in proportion: the first flight scores 620 mm, the third lands exactly at 600 mm but has a 200 mm tread, which the tool flags. The ranges it tests for are figures built into the tool, a general rule of thumb. They are not building-code requirements, and local building codes vary, so the checks are best used to compare alternatives and spot a typing error rather than to decide whether a stair is allowed.

What this estimate is not

This page does geometry on a straight flight. It does not size stringers, choose timber or steel, check headroom, handrails, guarding or landing sizes, and it ignores the width field. The numbers help you plan the layout and order materials, while the actual design and compliance of a stair are for a qualified professional or your local building inspector to decide.

Staircase Calculator – Utinzo

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Results are estimates for informational purposes only and do not constitute professional financial, medical, legal, or technical advice. Read full disclaimer →