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Spiral stair calculator

Helical stair geometry: arc tread depths at inner, walk-line and outer radii, clear width, rise per full turn, and outer handrail length.

Spiral stair calculator
in
in
in
in
°
Plan — spiral
Steps
Riser
Clear width
Walk arc
Rise/turn
Handrail

Helical geometry

A spiral stair wraps treads around a center column. Each tread is an arc whose depth grows with radius, so the usable tread depth is measured along a walking line near the outer edge. Clear width is the outer radius minus the column radius. Rise per full turn determines headroom: a person on the stair must clear the underside of the flight one turn above.

clear width = outer radius − column radius
tread arc = radius × step angle (radians)
handrail = √(outer arc total² + total rise²)
Spiral codes differ widely — some jurisdictions allow steeper risers and narrower widths than straight stairs. Pending verification.