Landings, turns & shapes
Winder stair calculator
A winder stair calculator handles pie-shaped treads that turn a stair 90 degrees without a flat landing. Instead of a platform, the turn happens across a series of tapered treads, wide on the outside of the turn and narrow on the inside.
Winders are the go-to option when there's not enough floor space for a full landing but the stair still needs to turn a corner. The tradeoff is a tighter, less comfortable footing on the narrow side of each winder tread.
This calculator uses a 3-winder quarter turn, the most common winder layout, and checks tread depth along the walk line where most people actually place their foot.
Winder stair calculator
The turn is a square of this width.
Three 30° winders is the common quarter turn.
15 risers, 3 winders of 30° each, 6 3/16″ deep at the walk line.
Total risers
15
Riser height
7 3/16″
Winders
3 × 30°
Walk-line depth
6 3/16″
at 12 in from the inside
Outside depth
18 5/8″
Straight treads
11
run 9′ 7 1/2″
Winders that converge to a point have zero depth at the inside corner. Many jurisdictions require a minimum depth at the narrow end (often cited as 6 in) and at the walk line (often 10 in); check locally.
Need presets, code profiles, printing or sharing? Continue with these values.
Open in the full stair calculatorWinders replace a landing, not a tread
A landing takes up run without adding a riser; winders do the opposite, they add risers through the turn without a flat platform. A 3-winder quarter turn typically uses 3 risers, each turning 30 degrees, to complete a 90-degree change of direction.
For a 108 in rise at a 7.25 in target riser, total risers work out to 15 at 7.2 in each, exactly like a straight or landing stair with the same rise. Of those 15 risers, 3 become winders at the turn, and the remaining 12 risers are straight treads split between the flights before and after the turn.
Why the walk line matters
Winder treads aren't a consistent depth; they're wide on the outside of the turn and taper to almost nothing on the inside. Because of that, tread depth is measured along a walk line, an arc roughly 12 in in from the narrow edge, commonly cited as the path most people actually walk on a turn.
For a 36 in wide stair, the walk line sits at a radius of 36 − 12 = 24 in from the inside pivot point. Each winder in a 3-winder quarter turn spans 30 degrees, so the arc length along the walk line per winder is 2π × 24 × (30 ÷ 360) ≈ 12.6 in, comfortably above the commonly cited 10 in minimum tread depth for that location.
| Stair width | Walk-line radius (width − 12 in) | Arc depth per winder (30°) |
|---|---|---|
| 30 in | 18 in | ≈9.4 in |
| 36 in | 24 in | ≈12.6 in |
| 42 in | 30 in | ≈15.7 in |
A 30 in wide stair with a 3-winder quarter turn puts walk-line tread depth under the commonly cited 10 in minimum; widen the stair or add a fourth winder to spread the turn across more risers.
The narrow-end minimum
Even with a generous walk-line depth, the inside point of each winder tapers down to a narrow tip. Commonly cited reference values put a 6 in minimum tread depth at that narrowest point, measured at the inside edge, so nobody's foot lands entirely on an unsupported sliver of tread.
This narrow-end minimum is one reason winders aren't stacked indefinitely; past 3 or 4 winders in a quarter turn, the inside edges get so tight that they start failing this minimum even when the walk line still looks fine.
Laying out a 3-winder quarter turn
Each of the 3 winders turns the stair 30 degrees (90 ÷ 3), pivoting around the inside corner post. On paper, that means drawing three 30-degree wedges radiating from the pivot point, each one riser higher than the last, fanned across the 90-degree turn.
The outside edge of each winder can be as wide as the straight treads before and after it, typically matching the stair's normal tread depth on the wide side. The framing under winders is more involved than a straight stringer, usually built with a center post or short header framing to support the tapering tread shape.
- Determine total risers and riser height for the full rise.
- Decide how many winders will complete the turn (commonly 2 to 4).
- Divide 90 degrees by the winder count to get the angle per winder.
- Set walk-line radius as stair width minus 12 in.
- Check walk-line arc depth per winder against the commonly cited 10 in minimum.
- Check the narrow inside edge against the commonly cited 6 in minimum.
When winders aren't a good idea
Winders save floor space compared with a landing, but they're less forgiving underfoot, especially on the narrow side, and many people find them harder to descend confidently than a landing. Some jurisdictions restrict or add extra requirements for winders on required egress stairs, so check locally before designing around them.
If the stairwell has room for a full landing, most builders default to the L-shaped stair calculator or stair calculator with landing instead, reserving winders for tight retrofits, spiral-adjacent layouts, or attic and basement access where a full landing genuinely won't fit.
Worked math
3-winder quarter turn on a 36 in wide stair
Given
- Total rise: 108 in
- Target riser height: 7.25 in
- Tread depth (straight treads): 10.5 in
- Stair width: 36 in
- Winders: 3
Steps
- Total risers: 108 ÷ 7.25 = 14.9, rounds to 15 risers at 7.2 in each.
- Winders used: 3, leaving 12 straight risers split before/after the turn.
- Angle per winder: 90 ÷ 3 = 30 degrees.
- Walk-line radius: 36 − 12 = 24 in.
- Walk-line depth per winder: 2π × 24 × (30 ÷ 360) ≈ 12.6 in.
- Straight run for the remaining 11 treads: 11 × 10.5 = 115.5 in.
Three 30-degree winders turn the stair 90 degrees with a 12.6 in walk-line tread depth, well above the commonly cited 10 in minimum for a 36 in wide stair.
Questions
Winder stair calculator FAQ
What is a winder stair?
A winder stair uses pie-shaped, tapering treads to turn a corner instead of a flat landing, saving floor space at the cost of a narrower step on the inside of the turn.
How many winders does a quarter turn need?
Commonly 3, each turning 30 degrees to complete a 90-degree turn, though 2 or 4 winder layouts are also used depending on stair width and available run.
Where is winder tread depth measured?
Along a walk line roughly 12 in in from the narrow edge, commonly cited as the path most people actually walk. Depth is also checked at the narrow inside point, commonly cited with a 6 in minimum there.
How deep does a winder tread need to be on the walk line?
Commonly cited residential reference values call for at least 10 in of tread depth measured on the walk line, similar to a straight tread minimum, hedged since exact code minimums vary by jurisdiction.
Are winders as safe as a landing?
Many people find winders less comfortable to descend than a flat landing, since footing narrows sharply on the inside of the turn. Some jurisdictions add extra restrictions for winders on required egress stairs.
When should I use a landing instead of winders?
Use a landing whenever the stairwell has room for one; it's generally more comfortable and gives a resting point. Reserve winders for tight spaces where a full landing won't fit.
Keep going
Related stair calculators
Landings, turns & shapes
L-shaped stair calculator
Calculate an L-shaped stair with a 90-degree turn at a square landing, including per-flight risers, run, footprint, and headroom at the turn.
Landings, turns & shapes
Stair calculator with landing
Calculate a two-flight stair with an intermediate landing: risers per flight, landing depth, and each flight's own run and stringer length.
Landings, turns & shapes
Spiral stair calculator
Calculate spiral stair dimensions: risers, angle per tread, walk-line tread depth, and headroom for a given floor height, diameter, and rotation.
Design, layout & building
Stair headroom calculator
Check stair headroom clearance and figure the floor opening length you need. Enter rise, riser, opening and floor thickness to see your clearance in inches.
Angle & slope
Stair Angle Calculator
Calculate stair angle in degrees from rise and run, see a comfortable-angle table, and get exact miter and bevel settings for stringer cuts.
Design, layout & building
Stair layout calculator
Stair layout calculator for locating the top riser, marking total run on the floor, checking headroom and laying out skirt board lines before you frame.
- Open the full stair calculator →
Important
Disclaimer
StairCalculator.app provides calculations and educational information. Building codes and construction requirements vary by location. Verify final dimensions and requirements with the applicable local building authority or qualified professional.
Calculations are only as accurate as the measurements and inputs you provide; small errors in measuring total rise or floor thickness can shift the results, so double-check field measurements before cutting materials, and treat every reference value and worked example on this site as illustrative rather than a guarantee of code compliance.