metres
metres (finished floor to finished floor)
mm (typical 170–190 mm)
mm (typical 250–300 mm)
metres (typical 2.0–2.1 m)
mm (typical 15–30 mm)
mm (for baluster count estimate)
How to Calculate Stair Dimensions
The core of any stair calculation is this: divide your floor-to-floor height by a whole number of risers to get the exact riser height, then decide how much horizontal space each tread takes up. Those two numbers determine everything else — angle, stringer length, headroom, and materials.
The process looks simple, but the tricky part is that riser count must be a whole number (you can't have half a step), which means your actual riser height rarely matches your preferred one exactly. This calculator finds the closest whole-number riser count to your preferred height, recalculates the exact riser, and flags if the result falls outside comfortable ranges.
Common Floor Heights — Step Count Reference
| Floor-to-floor height | Steps (@ 175 mm riser) | Exact riser | Total run (@ 275 mm going) | Stringer length |
|---|---|---|---|---|
| 2,400 mm (7 ft 10 in) | 14 | 171 mm | 3,575 mm | 4,211 mm |
| 2,550 mm (8 ft 4 in) | 15 | 170 mm | 3,850 mm | 4,476 mm |
| 2,700 mm (8 ft 10 in) | 15 | 180 mm | 3,850 mm | 4,536 mm |
| 2,850 mm (9 ft 4 in) | 16 | 178 mm | 4,125 mm | 4,814 mm |
| 3,000 mm (9 ft 10 in) | 17 | 176 mm | 4,400 mm | 5,094 mm |
| 3,300 mm (10 ft 10 in) | 18 | 183 mm | 4,675 mm | 5,520 mm |
Based on 175 mm preferred riser, 275 mm going. Stringer = sqrt(rise² + run²). Verify against your exact floor height.
Stair Type Comparison
| Type | Flights | Best for | Space needed | Notes |
|---|---|---|---|---|
| Straight | 1 | Narrow corridors, garages, basements | Long floor footprint | Simplest to build; easiest to move furniture |
| L-shape | 2 | Corner locations, main floor stairs | Corner of a room | Landing breaks the climb; more complex framing |
| U-shape | 3 | Compact floor plans, split-level homes | Two parallel walls | Reduces footprint; hardest to estimate headroom |
Formulas Used
All calculations use these standard relationships:
- Step count (N): round(floor height / preferred riser), then exact riser = floor height / N
- Stair angle: arctan(riser / going), in degrees
- Stringer length per flight: sqrt(flight rise² + flight run²)
- Blondel comfort check: 2 × riser + going, target 600–640 mm (23.6–25.2 in)
- Headroom estimate: floor height minus (riser/going × opening length)
A note on headroom
The headroom estimate here is a straight geometric approximation. It does not account for joist depth, ceiling slope, or landing beam depth. Treat it as a ballpark check, not a construction measurement. For anything close to the minimum, measure on site with a string line along the stair slope.
Frequently Asked Questions
Staircase Planning Checklist
Reviewed by Liam Santos (framing carpenter). Covers floor opening size, joist trimming, stringer layout, tread and riser fixing, handrail height, baluster spacing, and final inspection points before sign-off.
Download Checklist (PDF)Planning reference only. See Methodology and Data Sources. View all project checklists →
Related Lumber & Framing Calculators
Accuracy & Review
Reviewed by: Liam Santos
Liam is a framing carpenter with experience across residential stair builds, deck structures, and timber framing. He reviewed the step count logic, riser/going comfort ranges, Blondel check, stringer formula, and headroom estimate methodology used in this calculator.
Last updated:
See: Methodology · Data Sources · Review Board
Disclaimer: These estimates are for general planning purposes only. Actual stair dimensions depend on local building codes, structural conditions, floor finish thicknesses, and on-site measurements. Always verify against current code requirements and consult a qualified builder or engineer before construction.
See Methodology and Data Sources for calculation assumptions.