Construction / CALCULATOR

Spiral Stair Geometry

Spiral Stair Geometry with explicit measurements, assumptions and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

mm
Enter total rise in mm.
Enter risers.
°
Enter total rotation in °.
mm
Enter walk-line radius in mm.

Formula

rise per step=height/n; rotation=total angle/n; arc going=radius ×rotation radians.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Ideal uniformly rotating stair; does not assess tread inner width, headroom, guards or code compliance.

Example Calculation

Example inputs
  • Total rise: 3000 mm
  • Risers: 15
  • Total rotation: 360 °
  • Walk-line radius: 800 mm

Total rise = 3000 mm; Risers = 15; Total rotation = 360 °; Walk-line radius = 800 mm. Primary result: 200.

Frequently asked questions

How do I use this calculator?

Enter total rise, risers, total rotation, walk-line radius. The result updates automatically. Use Reset to restore the example values.

What method does it use?

rise per step=height/n; rotation=total angle/n; arc going=radius ×rotation radians.. Ideal uniformly rotating stair; does not assess tread inner width, headroom, guards or code compliance.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.