Stairs

Spiral staircase calculator

A spiral stair needs risers of 9-1/2 in or less under the IRC, so a 9 ft floor-to-floor takes 12 risers of 9″. On a 5 ft diameter stair turning 360°, each of the 11 treads covers 32.7° and is 8″ deep at the walkline.

Framing Calculators editorial teamUpdated 3 sources

Calculator

Spiral staircase calculator

Risers, degrees per tread, tread depth on the walkline and headroom.

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Type lengths the way you read a tape: 8' 9", 7 3/4 or 7.75. Metric: 2667 mm or 2.667 m.

1234567891011walkline (dashed) 14″ from centre · ⌀ 60″
Risers12 × 9″
Treads11 at 32.7°
Tread on walkline8″14″ from the centre

Spiral layout

Tread at the outer edge
17-1/8″
Treads per full turn
11
Headroom under the tread above
8′ 1-1/2″
Clear width, column to edge
28″

Check: US – IRC spiral stair

  • Riser 9″ — max 9-1/2″
  • Tread at the walkline 8″ — min 6-3/4″
  • Headroom 8′ 1-1/2″ — min 6′ 6″
  • Clear width 28″ (before the handrail) — min 26″

How it works. Risers = rise ÷ maximum riser, rounded up. Degrees per tread = total turn ÷ (risers − 1). Tread at the walkline = 2π × walkline radius × degrees ÷ 360. Headroom = treads per full turn × riser − tread thickness.

Spiral stair code

The IRC sets four limits for spiral stairs in R311.7.10.1 (R318.7.11.1 in 2024): at least 26 in clear width at and below the handrail, treads at least 6-3/4 in deep at the walkline (walkline radius at most 24-1/2 in), risers no taller than 9-1/2 in, and 6 ft 6 in of headroom[1][2]. Spiral stairs are also exempt from the 4 in open-riser limit.

Spiral stair limits
RuleUS IRCCanada NBC 2020
Clear width26 in (660 mm)660 mm between handrails
Tread6-3/4 in at the walkline190 mm, 300 mm from the narrow handrail
Riser9-1/2 in max240 mm max
Headroom6 ft 6 in1,980 mm
Handrailsper the stair rulesboth sides; outer one 1,070 mm high

Canada's numbers come from NBC 9.8.4.7, which also bars spiral stairs as a required exit[3].

Spiral stair calculator: degrees per tread and the walkline

A spiral stair calculator splits the total turn between the treads: a 360° stair with 11 treads turns 32.7° per tread. A tread's depth grows with distance from the centre, so the code measures it on the walkline. The calculator puts the walkline 12 in from the edge of the centre column (300 mm in Canada) and reports the depth there and at the outer edge.

  • More turn (405° or 450°) gives deeper treads and more headroom for the same height.
  • Less turn (270°) makes a steeper, tighter stair; check the walkline depth.

Headroom on a spiral stair

Headroom on a spiral comes from the tread one full turn above you: treads per 360° times the riser height, less the tread thickness. With 11 treads per turn and 9″ risers that is 8′ 1-1/2″, over the 6 ft 6 in minimum. A larger stairwell opening or more treads per turn adds headroom.

Choosing the diameter

The clear width is measured from the column to the handrail, so the diameter must be more than twice 26 in plus the column: a 60 in stair with a 4 in column leaves 28 in from the column to the edge before the handrail. Size the floor opening to the stair maker's drawing. For a straight stair compare the stair calculator, and see the full stair code for handrails and guards; the baluster spacing calculator covers the guard around the opening.

Frequently asked questions

How many steps are in a spiral staircase?

Rise ÷ 9-1/2 in, rounded up, for the risers; one fewer treads. A 9 ft rise takes 12 risers and 11 treads.

What is the minimum diameter for a spiral staircase?

Enough for 26 in of clear width from the column to the handrail under the IRC: with a 4 in column the diameter must be at least 56 in plus the handrail.

How many degrees per step on a spiral staircase?

The total turn divided by the number of treads: 360° over 11 treads is 32.7° each.

What is the headroom code for spiral stairs?

6 ft 6 in under the IRC and 1,980 mm under Canada's NBC.

Sources

  1. 2021 International Residential Code, Chapter 3: Building Planning (R301.5, R311.7 stairways, R312 guards) · International Code Council, read-only Digital Codes, accessed November 13, 2026
  2. 2024 International Residential Code, Chapter 3 (R318.7 stairways, R320 handrails, R321 guards) · International Code Council, accessed November 13, 2026
  3. National Building Code of Canada 2020, Division B, Part 9, Section 9.8 Stairs, ramps, handrails and guards · National Research Council Canada, Fifteenth Edition 2020