Description
Return window/wall projected-area ratio.
Architectural openings and clearances depend on measured boundaries, projection axes and a caller-supplied comparison criterion. A positive geometric margin is distinct from demonstrating code compliance, safe access or a complete door-swing envelope. Plan lengths and projected dimensions must not be mistaken for full spatial measurements.
Return window/wall projected-area ratio.
When to use this tool
Use Window Wall Projection Ratio when checking the stated opening, projection or clearance geometry.
How to use the tool and how it works
- Enter windowArea, windowNormalCosine, wallArea, wallNormalCosine. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read projectedWindow, projectedWall, ratio. Use the output convention below.
Return window/wall projected-area ratio. Require positive wall area, window within wall, cosine magnitudes <= 1 and nonzero wall cosine; project each area using absolute cosine, ratio divides projected areas.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| windowArea | Window Area | Required. Finite number; minimum 0. |
| windowNormalCosine | Window Normal Cosine | Required. Finite number. |
| wallArea | Wall Area | Required. Finite number; strictly above 0. |
| wallNormalCosine | Wall Normal Cosine | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| projectedWindow | Projected Window | Required. Finite number. |
| projectedWall | Projected Wall | Required. Finite number. |
| ratio | Absolute-cosine projected window area/projected wall area; may exceed one even when original windowArea<=wallArea. | Required. Finite number. |
{
"input": {
"windowArea": 4,
"windowNormalCosine": 0.5,
"wallArea": 20,
"wallNormalCosine": 1
},
"output": {
"projectedWindow": 2,
"projectedWall": 20,
"ratio": 0.1
}
}Limitations and assumptions
- The projected ratio may exceed one despite bounded original areas; orientations, shading and a complete facade model 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 complete measured plans and a qualified architectural/engineering assessment with the applicable requirements for real construction or safety decisions.
References
Similar or alternative tools
- Pitched Roof Eave Horizontal Projection
Return horizontal projection of a sloping eave.
- Roof Valley Plan Diagonal Factor
Return a roof valley's plan-diagonal length.