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Roof Plane Height Sample Tool

Calculate roof plane height sample from explicit caller-supplied inputs.

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Description

Return height on a supplied planar roof.

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 height on a supplied planar roof.

When to use this tool

Use Roof Plane Height Sample when checking the stated ideal curve, tread, slope or reference-plane term.

How to use the tool and how it works

  1. Enter originHeight, x, y, xSlope, ySlope. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read height. Use the output convention below.

Return height on a supplied planar roof. height = originHeight+x*xSlope+y*ySlope.1

Input fieldMeaning and unitsAccepted input
originHeightOrigin HeightRequired. Finite number.
xXRequired. Finite number.
yYRequired. Finite number.
xSlopeX SlopeRequired. Finite number.
ySlopeY SlopeRequired. Finite number.
Output fieldInterpretationReturned shape
heightHeightRequired. Finite number.
json
{
  "input": {
    "originHeight": 3,
    "x": 4,
    "y": 2,
    "xSlope": 0.25,
    "ySlope": -0.5
  },
  "output": {
    "height": 3
  }
}

Limitations and assumptions

  • Coordinates and slopes must share an origin/unit convention; actual roof geometry, support and drainage are not verified.
  • 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

  1. Calculation and input contract: architecture/roof-plane-height-sample — tool.io

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