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Roof Valley Line Slope Component

Resolve an explicit roof-valley line slope and horizontal run into signed rise and sloped length without deriving intersecting roof geometry.

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Description

Calculate supplied roof-line rise and sloped length.

Architectural scalar geometry depends on datums, finish build-ups, endpoint conventions and supplied corrections. A nominal lintel seat differs from verified bearing capacity, and internal masonry joints differ from a module repeated with extra end joints. Negative clearances can reveal discrepancies without assessing structural or legal suitability.

Calculate supplied roof-line rise and sloped length.

When to use this tool

Use Roof Valley Line Slope Component when you already have risePerHorizontalRun, horizontalRun and need to calculate supplied roof-line rise and sloped length.

How to use the tool and how it works

  1. Enter risePerHorizontalRun, horizontalRun. 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 rise, slopedLength. Use the output convention below.

Require horizontalRun>=0; rise=signed risePerHorizontalRun*run and length=hypot(run,rise).1

Input fieldMeaning and unitsAccepted input
risePerHorizontalRunSigned dimensionless rise/run, not a degree angle or roof pitch inferred from intersecting planes.Required. Finite number.
horizontalRunHorizontal RunRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
riseRiseRequired. Finite number.
slopedLengthSloped LengthRequired. Finite number.
json
{
  "input": {
    "risePerHorizontalRun": 0.75,
    "horizontalRun": 4
  },
  "output": {
    "rise": 3,
    "slopedLength": 5
  }
}

Limitations and assumptions

  • The slope is rise/run rather than an angle. This planar line relation does not derive a valley from intersecting roof planes, assess drainage or establish safe construction.
  • 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 controlled drawings, site measurements and complete engineering and code assessment. Check geometry, tolerances, loads and applicable requirements before interpreting local dimensions as a valid or safe design.

References

  1. Calculation and input contract: architecture/roof-valley-line-slope-component — tool.io

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