算BuildCalc

Stair Calculator

Riser count and height, run, slope length and slab area, with comfort check.

Quick answer

With the default inputs: Storey height 3 · Going 280 · Target riser 150 etc.Number of risers 20 lifts

Edit the inputs below to recalculate.
Going mmTarget riser mmStorey height m
Going and riser should satisfy 2h + b ≈ 600-620 mm. Once storey height is fixed the riser can only be tuned by the step count; if it will not divide evenly you need equalised flights.

Inputs

Domestic 260-300, public 280-320
Domestic 150-175, public 140-160

Result

Number of risers
20lifts
Actual riser height150.0mm
Number of goings19pcs
Horizontal run5.320m
Slope length6.108m
Inclined slab area7.329m²
Pitch angle29.42°
Comfort 2h + b580mm
AssessmentAcceptable
Going to riser ratio1.87
Rise per flight3.00m

The riser count is storey height divided by the target riser, rounded, then the height is divided back — actual risers must divide the storey exactly, or uneven steps trip people. The 600-630 mm figure for 2h + b comes from stride length; 580-600 suits dwellings, and schools need flatter stairs. Provide a landing beyond 18 risers in one flight.

Formula

Risersn = storey height (mm) ÷ target riser, rounded
Actual riserh = storey height (mm) ÷ n
Goingsn = risers − 1
Horizontal runL = goings × going
Slope lengthL = √(run² + height²)
Comfort2h + b = 600-630 mm reads comfortably
A 3 m storey with a 280 mm going and 150 mm target: 20 risers at 150.0 mm, 19 goings, a 5.320 m run, 6.108 m slope length, 29.42° pitch and 2h + b = 580 mm — acceptable.

How to work it out

  1. Compute the riser count n = storey height (mm) ÷ target riser, rounded to a whole number. A 3 m storey at 150 mm gives 20 risers.
  2. Actual riser h = storey height ÷ n. 3000 ÷ 20 = 150 mm exactly. Where it does not divide evenly the actual riser inevitably differs from the target.
  3. Tread count = n − 1, because the top riser lands on the floor and occupies no tread. Off-by-one here is the classic error.
  4. Horizontal going L = tread count × tread width. Twenty risers at 280 mm gives 19 × 280 = 5320 mm, which sets the stairwell depth required.
  5. Sloped length = √(L² + storey height²), needed for the waist slab concrete and tread formwork.
  6. Comfort check: 2h + b should fall between 600 and 630 mm. At h = 150 and b = 280 it is 580 mm, slightly steep; at b = 300 it is 600 mm, correct.

Where it goes wrong

Material and cost

Cast-in-place stairs run 350-550 CNY/m² of plan area including formwork and reinforcement; precast 400-600. Steel stairs 800-1500 CNY/m² with balustrade. Timber handrail 80-200 CNY/m, stainless 150-350. Stairs are among the highest-cost elements per square metre because both formwork and labour are demanding.

On site

Basis

FAQ

Why can't the actual riser equal the target?
Because the storey height is fixed and the riser count must be a whole number. At 3 m, a 160 mm target needs 18.75 risers — so 19 at 157.9 mm or 20 at 150 mm. Never build 18 even steps plus one odd 190 mm riser to make up the height: it is the classic stair trip hazard and fails inspection immediately.
What riser height is appropriate?
150-175 mm for dwellings, 140-160 mm for public buildings, 120-150 mm for nurseries and primary schools. Code maxima are 175 mm domestic and 150 mm for schools; below about 100 mm the stride becomes unnaturally short. Shallower risers lengthen the stair and consume floor area — comfort traded against usable space.
How is the inclined area used for concrete and formwork?
Multiply by slab thickness for concrete volume, and take it as the soffit formwork area. Remember the triangular steps on top: add 0.5 × riser × going × stair width × number of goings, which is often 25-30% of the flight's concrete. Omitting it leaves the pour badly short.

Cite this page

Use this format in reports, method statements or coursework. The link is permanent.

Building Calculator. Stair Calculator. 2026-10-25. https://jianzhujisuan.com/en/stair-calc

Results are estimating aids only and are not a design basis. Construction and final accounts must follow the drawings, the applicable standards and an approved method statement. Anything affecting structural safety, shoring or falsework must be checked by a suitably qualified engineer.