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Concrete Stair Geometry Calculator — result sheet
Calculate total rise, total run, slope angle, and approximate concrete volume for equal rectangular stair steps.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Total rise = N·rise; total run = N·run; stepped volume = width × rise × run × N(N+1)/2.
The volume sums the rectangular riser layers from the bottom step through the top step and reports the overall slope geometry.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of steps — minimum 1; maximum 10000
- Rise per step — m; minimum 1.0E-6; maximum 1000
- Run per step — m; minimum 1.0E-6; maximum 1000
- Stair width — m; minimum 1.0E-6; maximum 1000
Worked example
| Input | Value |
|---|---|
| Number of steps | 10 |
| Rise per step | 0.18 |
| Run per step | 0.28 |
| Stair width | 1 |
Total rise = 1.8 m; run = 2.8 m; stepped volume = 2.772 m³.
Assumptions and limits
- Steps are equal and all dimensions use metres.
- The volume is a stepped solid with no voids or stringer shape.
- Treads, nosings, reinforcement, drainage, handrails, accessibility, and 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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