Staircase calculator: rise, going and pitch to Part K

Type the height from floor to floor and the going you'd like. It works out how many risers, the rise of each, the pitch and the run along the floor for a straight flight, checks them against Part K for a private stair (or the US rules), and says how long the hole in the floor above must be for headroom. Free, with no sign-up.

The stairs

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Floor to floor is from the finished floor at the bottom to the finished floor at the top. The going is each step's depth from one nosing to the next. The floor above's thickness (joists, ceiling and floorboards) sets how long its hole must be for headroom.

14 risers of 7 11/16"

13 treads with a 10 1/2" going, a pitch of 36.3°, and a run of 136 1/2" along the floor. The strings are about 174 1/16" along the pitch line, before their ends are cut.

  • Rise no more than 7 3/4": yes
  • Going at least 10": yes

The floor above needs a hole at least 124 3/16" long, back from the top riser, for 80" of headroom over the stairs.

How many risers

The fewest that meet the rules is chosen for you. More risers make lower, gentler steps and a longer run. Press a number to try it.

RisersRise (in)PitchRun (in)Rules
8 5/1638.4°126
fewest7 11/1636.3°136 1/2
7 3/1634.4°147
6 3/432.7°157 1/2
6 3/831.2°168
80" headroomRun 136 1/2"Hole 124 3/16"

How it works

The fewest risers that meet the rules are chosen first: the floor-to-floor height divided by the most a rise can be, rounded up, then more if the pitch or twice the rise plus the going is out. The height is shared equally between them, and there's one tread fewer than risers, as the top riser steps onto the floor above. The table lets you try a riser more or less.

For headroom, the line through the nosings (the pitch line) is followed up the flight. The floor above has to stop where the space between that line and its underside drops below 2.0 m (80 inches in America); from there to the top riser is the hole it needs. Its thickness is the joists, the ceiling below and the floorboards together.

These are the figures for a straight flight in a house. Winders, landings, handrails and balustrades have their own rules, and building control has the last word.

Questions

What are the Part K rules for a house's stairs?

For a private stair in England: each rise 150 to 220 mm, each going 220 to 300 mm, twice the rise plus the going between 550 and 700 mm, and a pitch no steeper than 42°. Every step in a flight the same. Wales has its own Approved Document K, and Scotland its own rules, so check where you're building.

How much headroom does a staircase need?

2.0 m, measured straight up from the pitch line (the line through the nosings) to anything above. In a loft conversion where that can't be had, 1.9 m at the middle of the stair is accepted, coming down to 1.8 m at its side.

How do I work out the number of steps?

Divide the floor-to-floor height by the most a rise can be (220 mm), and round up: that's the fewest risers. Share the height equally between them. There's one tread fewer than risers, because the top riser steps onto the floor above. Then check the pitch and twice the rise plus the going with the going you want.

Can the stairs have open risers?

Yes, in a house, as long as each tread overlaps the one below by at least 16 mm and a 100 mm ball can't pass through the gaps.

Is this enough to build from?

It's for planning the flight and the hole in the floor above. Building control has the last word, and the strings, handrail, balustrade and landings all have rules of their own.