The method
Riser = total rise ÷ number of risers. For one straight flight with the upper floor as the final tread, goings = risers − 1. The going (G) is the horizontal distance from one nosing to the next. Calculate 2R + G and compare it with any range set by the adopted rules.
Some codes, including the Australian Housing Provisions, regulate 2R+G as well as riser and going dimensions. Check the applicable requirements together; a comfortable example alone does not establish compliance. This page covers the setout maths only.
Work it out by hand
Say your staircase needs to climb a 2700 mm floor-to-floor rise.
1. Pick a target riser and find the riser count. Use 180 mm as the target for this example. It is an input, not a prescribed height.
2700 ÷ 180 = 15 risers exactly.
What if the split is not a whole number? Try whole-number counts on either side, then divide the rise by each count. Check the resulting riser height and run against the approved design and local limits.
2. Work out the treads. In this straight-flight example, with the upper floor as the final tread, there is one fewer going than risers. The top and bottom risers land you on a floor, not a tread.
15 − 1 = 14 treads.
3. Choose a going. Use 280 mm for this example. Check the chosen going against the local limits and available run.
4. Check it against 2R + G.
2(180) + 280 = 360 + 280 = 640 mm
This gives the value to compare with the rule for your project. It does not check the other stair dimensions or guarantee comfort.
So: 15 risers at 180 mm, and 14 treads at 280 mm. The 2R+G calculation comes out at 640 mm. Check the adopted requirements, available run, headroom and approved details before marking the stringer.
Calculate and keep your working
Use the free web tool or download the Chippy Tools printable reference.
Related
Each country sets its own legal riser and going limits, on top of the geometry here:
- NCC Stair Requirements (AU)
- Stair & Barrier Requirements (CA)
- Stair & Barrier Requirements (US)
- Stair & Barrier Requirements (NZ)
- Stair & Barrier Requirements (UK)
Sources
The worked example uses division and multiplication. For the Australian housing limits on 2R+G, see the NCC stair guide and its linked official provision. Other countries and building types can set different limits.