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Woodshop Math

Calculator

Stair Stringer Calculator

Estimate stair rise, run, tread count, stringer length, and layout angles for planning. Use it when sketching stair dimensions, checking material length, or preparing a layout to verify against local requirements.

Stair stringer calculator

Planning only. Stair dimensions, handrails, landings, headroom, tread nosing, and safety rules vary by location. This calculator does not claim compliance.

After you calculate, print and download options will appear.

Result

Enter stair dimensions, then calculate the stringer estimate.

These results are estimates only. Verify measurements, material specifications, structural requirements, safety requirements, and local building rules before buying materials or building.

How this calculator works

This calculator estimates stair risers, treads, total run, stringer length, angle, and optional total stringer length for planning. It supports metric and imperial dimensions.

Stairs are safety-critical. Dimensions, handrails, landings, headroom, tread nosing, and safety rules vary by location, so this page does not claim code compliance.

Formula

  • Riser count = round(total rise / target riser height).
  • Actual riser height = total rise / riser count.
  • Tread count = riser count - 1.
  • Total run = tread count x tread depth.
  • Stringer length = square root of (total rise squared + total run squared).
  • Stair angle = arctangent(total rise / total run), converted to degrees.

Worked example

For a total rise of 2800 mm and a target riser height of 175 mm, riser count is 16 and actual riser height is 175 mm.

With a 270 mm tread depth, tread count is 15 and total run is 4050 mm. Stringer length is approximately 4.92 m.

Common mistakes

  • Using unfinished floor heights instead of finished surface-to-surface rise.
  • Forgetting that tread count is usually one less than riser count.
  • Ignoring headroom, landings, handrails, tread nosing, and safety requirements.
  • Cutting stringers before checking the real site conditions and material.

FAQs

Does this calculator confirm stair safety or compliance?

No. It is for planning only. Verify dimensions, structural requirements, safety requirements, and local rules before building.

Why is tread count one less than riser count?

A stair run with a top landing often has one fewer tread than risers because the upper floor or landing serves as the final step surface.

What is total rise?

Total rise is the vertical distance between the lower finished walking surface and the upper finished walking surface.

Can I price stringer boards with this calculator?

Yes. Enter a number of stringers and an optional board price to estimate a basic stringer-board cost.

Calculator disclaimer

These results are estimates only. Verify measurements, material specifications, structural requirements, safety requirements, and local building rules before buying materials or building.