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Staircase Calculator

Work out how many steps a straight staircase needs, how tall each riser is and how deep each tread should be. Enter the height from floor to floor, press Calculate and check the pitch, total run, stringer length and stairwell opening against the UK Building Regulations.

Type Of Stair

Headroom

Tread Nosing

The overhang of each tread over the riser below. It makes the tread board deeper than the going.

Your Measurements

mm

Measure from the finished floor at the bottom to the finished floor at the top, including carpet, tiles or boards.

mm

Floor length for the treads, bottom riser to top landing.

steps

Leave blank and the calculator picks the best number.

mm

800–900 mm is usual in a house.

mm

Floorboards, joists and ceiling, for the stairwell opening.

For straight flights in England. A new or altered staircase is building work: Building Control signs it off, so check your final drawings with them before you cut anything.

How To Use The Staircase Calculator

  1. Pick the type of stair. Choose Private for a stair inside a single house or flat. Utility and General Access are for stairs in other buildings, which have tighter limits.
  2. Enter the total rise in millimetres, from the finished floor at the bottom to the finished floor at the top, or tap a typical height.
  3. Choose the headroom and nosing. Use 2.0 m for a normal stair, or 1.9 m for a loft conversion. The nosing is how far each tread overhangs the riser below; 16 mm is common.
  4. Add the space you have if the length of the stair is fixed, and a number of risers if you want a particular one. Leave both blank and the calculator picks the most comfortable layout.
  5. Check the stair width and the depth of the floor above. The width sizes the boards and decides whether you need a handrail on both sides; the floor depth sets the length of the stairwell opening.
  6. Press Calculate Stairs.

The result gives the number of risers and treads, the rise and going of each step, the total run, the pitch, how long the stairwell opening needs to be, and a cutting list: stringers, tread boards, riser boards and handrail. Every figure is checked against the Building Regulations, and a table lists the other riser counts that would also work.

Staircase Terms Explained

Stair builders use a handful of words that are worth knowing before you order timber or talk to Building Control:

TermWhat it means
Total riseThe height from finished floor to finished floor that the stair climbs.
RiseThe height of one step, from the top of one tread to the top of the next. Every rise in a flight must be the same.
GoingThe depth of one step measured on plan, from the edge (nosing) of one tread to the edge of the next. It is not the depth of the tread board, which is longer because of the nosing overhang.
Riser and treadThe riser is the upright board or the step up; the tread is the part you stand on. A straight flight always has one less tread than risers, because the top riser steps onto the landing.
PitchThe angle of the stair, measured along the line through the nosings (the pitch line).
Total run (going)The floor length taken up by the treads: number of treads × going.
StringerThe long side boards that carry the treads and risers.

UK Building Regulation Limits For Stairs

In England, stairs are covered by Approved Document K, Protection from falling, collision and impact. Table 1.1 sets the rise and going for three categories of stair:

Type of stairRiseGoingOther limits
Private stair150 to 220 mm220 to 300 mmPitch no steeper than 42°
Utility stair150 to 190 mm250 to 400 mmUp to 16 risers in a flight
General access stair150 to 170 mm250 to 400 mmUp to 12 risers in a flight

A private stair is one used by a single home. Utility stairs are for escape, access for maintenance or places that are not used by the public, and general access stairs are those in shops, offices, flats' common parts and other buildings used by the public. For every type, twice the rise plus the going must be between 550 and 700 mm, and a stair with more than 36 risers in consecutive flights needs a change of direction of at least 30°. Wales, Scotland and Northern Ireland have their own rules, which are similar but not identical, so check with your local Building Control if you build outside England.

The steepest private stair the rules allow uses a 220 mm rise and a 220 mm going, but that is 45° and fails the 42° limit. In practice the steepest legal domestic stair is about 200 mm rise with a 223 mm going.

How Many Steps For Common Floor Heights?

Most UK houses have a floor-to-floor height of between 2.4 and 2.8 metres, so a typical straight stair has 12 to 14 risers. The table shows what the calculator gives for a private stair with plenty of room:

Floor to floorRisersRiseTreads × goingPitchTotal run
2,400 mm12200 mm11 × 223 mm41.9°2.45 m
2,500 mm13192.3 mm12 × 235 mm39.3°2.82 m
2,600 mm13200 mm12 × 223 mm41.9°2.68 m
2,700 mm14192.9 mm13 × 234 mm39.5°3.04 m
2,800 mm14200 mm13 × 223 mm41.9°2.90 m
3,000 mm15200 mm14 × 223 mm41.9°3.12 m

These are compact layouts close to the steepest a house stair is allowed to be, which is what most builders aim for to save space. If you have more room, add a riser: the stair becomes gentler and easier to climb, which matters for children and older people. The Other Layouts table in the result shows each option.

The 2R + G Comfort Rule

People walk up stairs with a natural stride of about 620 mm. A step that is short and tall, or long and shallow, breaks that rhythm and makes trips more likely. That is why the regulations say that twice the rise plus the going (written 2R + G) must be between 550 and 700 mm.

The calculator aims for 620 mm. With a 200 mm rise, that gives a going of 220 mm, but the 42° limit for private stairs pushes it up to 223 mm. With a 175 mm rise, it gives 270 mm. If you enter a fixed space, the going is reduced to fit, and the result shows a red cross if the stair can no longer meet the limits.

Headroom And The Stairwell Opening

Approved Document K asks for at least 2.0 m of clear headroom above the pitch line along the whole stair. For a loft conversion where there is not enough height, it accepts 1.9 m at the centre of the stair, reducing to 1.8 m at the side.

The headroom sets how long the hole in the upper floor, the stairwell opening, has to be. You enter the depth of the floor above, from the finished floor down to the ceiling (250 mm is typical for joists, boards and plasterboard), and the calculator finds where a line 2 m above the pitch line meets the underside of that floor. For a 41.9° stair, the opening needs to be about 2.5 m long; a gentler stair needs a longer opening. If your joists are deeper or the ceiling is lower, make the opening longer. Trimming an opening in a floor usually means doubled or engineered trimmer joists, so ask a structural engineer, and see our joist span calculator for the floor itself.

Handrails, Width And Landings

  • Handrails: fit one between 900 and 1,000 mm above the pitch line. A stair less than 1 m wide needs a handrail on at least one side; at 1 m or wider, it needs one on both sides. The bottom two steps of a private stair can be left without a rail.
  • Guarding: open sides need guarding at least 900 mm high on a private stair, and gaps in balustrades or open risers must not let a 100 mm sphere through.
  • Landings: leave a clear landing at the top and bottom of every flight, at least as long as the stair is wide. A door may swing across a bottom landing only if it leaves 400 mm clear.
  • Width: Approved Document K does not set a minimum width for a private stair, but 800 to 900 mm is normal in a house, and stairs that are part of an escape route need enough width for that.
  • Nosings: on a closed-riser stair, each tread overhangs the riser below; with open risers, treads must overlap by at least 16 mm.

How The Calculator Works

The calculator tries every whole number of risers that would give a rise inside the limits for your stair type. For each one it sets the going, checks it, and picks the layout whose rise is closest to a comfortable target: 195 mm for a private stair, 175 mm for a utility stair and 160 mm for a general access stair.

Rise = total rise ÷ risers · Treads = risers − 1 · Going = 620 − 2 × rise, kept within the limits

Run = treads × going · Pitch = tan⁻¹(rise ÷ going) · Pitch line = √(run² + total rise²)

Stairwell opening = (headroom + floor depth) ÷ tan(pitch) · Tread board = width × (going + nosing)

The going is rounded to whole millimetres without going below any limit. If you enter a number of risers, the calculator uses it and shows which rules it fails. Stringers and handrails are given as the pitch line plus about 300 mm for cutting the ends, and a handrail is listed for both sides when the stair is 1 m wide or more. The calculator is for straight flights only: winders, spiral stairs and alternating tread stairs for loft conversions have extra rules.

Staircase FAQs

How many steps does a UK house stair need?

Most UK houses have a floor-to-floor height of 2.4 to 2.8 m, which gives 12 to 14 risers. A 2,600 mm height is usually 13 risers of 200 mm with 12 treads.

What is the maximum rise for a domestic stair?

220 mm under Approved Document K, with a going of at least 220 mm. Because the pitch must not exceed 42°, the practical maximum is about 200 mm with a 223 mm going.

What is the maximum pitch for a staircase in a house?

42° for a private stair in England. Utility and general access stairs are limited by their rise and going instead, which keeps them well below that.

How much headroom does a staircase need?

At least 2.0 m above the pitch line. In a loft conversion, 1.9 m at the centre and 1.8 m at the side are accepted if the full height is not possible.

How do I measure the total rise for stairs?

Measure from the finished floor at the bottom to the finished floor at the top, including flooring on both levels. Measure in a few places, because floors are rarely level.

Is the going the same as the tread depth?

No. The going is measured on plan from one nosing to the next. The tread board is longer, because it overhangs the riser below by the nosing.

How long should the stairwell opening be?

For a typical house stair of about 42°, about 2.5 m, so that there is 2 m of headroom above the pitch line. A gentler stair or a deeper floor needs a longer opening.

Do I need Building Regulations approval for a new staircase?

Yes. A new or replacement staircase, or a change to an existing one, is building work that must meet Approved Document K and is checked by Building Control.

More Building Calculators

Rise, going, pitch, 2R + G, headroom, handrail and riser limits from Approved Document K (2013 edition incorporating 2013 amendments), Table 1.1 and paragraphs 1.1 to 1.36. Stairwell opening uses the headroom and floor depth you enter. Reviewed November 2026.