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Stair Geometry Calculator — result sheet
Estimate riser count, actual riser height, tread count, total run, and stair angle from basic dimensions.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Risers = ceiling(total rise / maximum riser); actual riser = total rise / risers; total run = (risers - 1) x tread depth.
The result separates basic stair geometry from building-code requirements, which vary by jurisdiction and project type.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Total rise — in; minimum 1; maximum 10000
- Maximum riser height — in; minimum 1; maximum 24
- Minimum tread depth — in; minimum 1; maximum 48
Worked example
| Input | Value |
|---|---|
| Total rise | 84 |
| Maximum riser height | 7.75 |
| Minimum tread depth | 10 |
The calculator chooses 11 risers at about 7.64 inches and 10 treads with a 100 inch total run.
Assumptions and limits
- All dimensions are in inches and the upper floor acts as the final landing.
- Landings, headroom, handrails, stringers, structural loads, and local code compliance are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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