Description
Return average inner winder-tread arc and supplied-minimum gap.
Architectural curves, stairs and roof planes can be described by ideal radii, angles, linear slopes and reference heights. Arc length differs from chord length, and a plan diagonal differs from a sloping member’s length. These local geometry terms do not evaluate structural capacity or building requirements.
Return average inner winder-tread arc and supplied-minimum gap.
When to use this tool
Use Stair Winder Inner Tread Gap when checking the stated ideal curve, tread, slope or reference-plane term.
How to use the tool and how it works
- Enter innerRadius, turnRadians, treadCount, suppliedMinimum. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read innerTreadArc, margin. Use the output convention below.
Return average inner winder-tread arc and supplied-minimum gap. Require nonnegative radius/turn/minimum and whole treadCount >= 1; arc = radius*turnRadians/count, margin = arc-minimum.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| innerRadius | Inner Radius | Required. Finite number; minimum 0. |
| turnRadians | Turn Radians | Required. Finite number; minimum 0. |
| treadCount | Tread Count | Required. Safe integer; minimum 1. |
| suppliedMinimum | Supplied Minimum | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| innerTreadArc | Average inner arc per tread, not a separate regulatory walking-line measurement. | Required. Finite number. |
| margin | Margin | Required. Finite number. |
{
"input": {
"innerRadius": 1,
"turnRadians": 1.2,
"treadCount": 3,
"suppliedMinimum": 0.3
},
"output": {
"innerTreadArc": 0.39999999999999997,
"margin": 0.09999999999999998
}
}Limitations and assumptions
- This assumes equal angular divisions; actual walking line, tread geometry, code requirements and safe use are not determined.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete spatial design, verified dimensions and qualified professional review for structural, accessibility and construction decisions.
References
Similar or alternative tools
- Stair Winder Walking Line Tread Term
Return circular walking-line tread arc.
- Ramp Landing Length Residual Tool
Compare a measured landing length with an explicit requirement without selecting a building-code threshold.