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Home/Calculators/Stair Calculator
Calculators

Stair Calculator

Compute integer risers, actual step heights and a defined n−1 tread flight with a dimensioned stair and stringer reference.

  • ⚡FastRuns in your browser
  • ◆PrivateFiles stay on your device
  • ♥FreeNo account required

01 / PURPOSE-SPECIFIC INPUTS

Straight-flight risers, going and an optional top landing

Upper floor is the last walking surface: n risers, n−1 treads. Landing means a top platform. User dimensions do not establish local code compliance.

Advanced assumptions & optional details
Practical examples

02 / RESULT & INTERACTIVE INSPECTION

Your result, visual model and supporting work

Integer riser count and recomputed equal rise16 risers × 17.5 cmDisplay precision and model assumptions are explicit; rounded values are not automatically exact measurements.
Tread count excluding upper floor
15
Tread going
28 cm
Stair flight run
420 cm
Run including top landing
420 cm
Stair pitch angle · riser / going
32.005°
Stringer nosing-line estimate
495.284 cm
Floor-to-floor envelope diagonal
504.777 cm
Stair width
100 cm

This model covers one straight flight with an optional top landing. Equal risers, n−1 treads and stringer endpoints are defined explicitly. No result claims building-code compliance or structural adequacy.

Uniform-scale stair cross-section and stringer reference

Total rise 280 cmFlight run 420 cmBlue: steps · Purple dashed: first-nosing to upper floor

Riser 1: 17.5 cm; cumulative height 17.5 cm. A tread advances 28 cm.

Both axes use the same length scale. Landing, if entered, is the top horizontal extension and does not extend the purple sloped stringer line. The line is a geometric reference, not a structural cutting/attachment design.
Formula, worked explanation & limitations
  1. Total rise 280 / 16 risers = 17.5 cm per riser. Desired-height mode chooses ceiling(total rise / desired maximum height), then recomputes equal actual heights.
  2. The upper floor is the final walking surface: 16 risers require 15 treads in this straight-flight convention. Run = 15 × 28 = 420 cm.
  3. Pitch is atan(actual riser / tread going). The straight stringer reference joins first tread nosing at one-riser height to the upper-floor nosing: horizontal 420, vertical 262.5, length 495.284 cm. It is not the floor-to-floor envelope diagonal or a cut/material specification.
  4. Optional landing is a top-level horizontal platform, not a middle landing that splits flights. Its 0 cm adds to footprint run, not sloped stringer length.
  5. Entered constraints are user-selected dimensional checks, not a universal code standard. Headroom, nosing, tread thickness, attachment, guards, structural strength and local jurisdiction/occupancy requirements are not certified.

How to use Stair Calculator

  1. 1
    Choose a mode and enter the known values

    Enter your values locally; no inputs are uploaded.

  2. 2
    Calculate and inspect the labeled interactive visual

    Check validation feedback before reviewing the browser-generated result.

  3. 3
    Review worked assumptions and copy the result if useful

    Review the explanation, copy supported outputs or reset the workspace.

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About Stair Calculator

The upper floor supplies the final walking surface. A single straight flight therefore has n integer risers and n−1 treads. For sixteen risers, fifteen tread goings contribute to the flight run.

Benefits

Compute integer risers, actual step heights and a defined n−1 tread flight with a dimensioned stair and stringer reference. Inspect actual values and worked assumptions through accessible interactive controls.

Privacy note

Stair Calculator calculations run locally in browser memory. Expressions, measurements, schedules and datasets are not sent to an external calculation-processing API or saved as a personal profile. Ordinary website requests may still be logged. Clipboard access occurs only when you choose Copy Result.

Frequently asked questions

What stair tread-count convention is used?

The upper floor supplies the final walking surface. A single straight flight therefore has n integer risers and n−1 treads. For sixteen risers, fifteen tread goings contribute to the flight run.

What does 280 cm total rise and sixteen risers produce?

Actual equal riser height is 280/16 = 17.5 cm. With 28 cm going, fifteen treads give 420 cm flight run. The actual riser is recomputed after the integer count is chosen.

How does desired-maximum-riser mode choose a count?

It rounds total rise divided by the desired maximum height upward to an integer, then recomputes equal actual heights. This model supports two through one hundred risers and at most twenty meters total rise.

Which endpoints define the stair stringer estimate?

The reference joins the first tread nosing at one-riser height to the upper-floor nosing. Its vertical span is (n−1) riser heights and its horizontal span is the n−1-tread run. The floor-to-floor envelope diagonal is shown separately.

Does the optional stair landing split the flight?

No. It is a horizontal platform at the top level. It adds to the footprint run but not to the sloped stringer length. Intermediate landings and multiple flights require a different model.

Do stair dimension checks establish building-code compliance?

No. They compare actual dimensions only with optional user-entered constraints. Local jurisdiction and occupancy rules, headroom, guards, nosing, attachments and structural design are not certified by this geometry calculator.