Plumbing Fire Sprinkler Coverage Area Calculator
Audit caller mapped fire-sprinkler cell union/overlap plus independently measured delivered water density against explicit caller criterion; differs from geometric light-footprint union, no inferred spray pattern, fire readiness, head placement or hydraulic safety design.
Description
Mapped sprinkler coverage is a union of observed cells.
Mapped sprinkler coverage is a union of observed cells. Independent delivered flow per cell supports a separate density check.1
The returned values include Observed delivered densities liters minute m2, Mapped area meeting caller delivered density m2, Observed mapped coverage area m2, Unmapped cell area m2, Multiply mapped area m2. The How section below explains the calculation, input rules and interpretation.
When to use Plumbing Fire Sprinkler Coverage Area Calculator
Use Plumbing Fire Sprinkler Coverage Area Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No inferred spray pattern, head placement, fire readiness or hydraulic safety design is supplied.
Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.
How to use Plumbing Fire Sprinkler Coverage Area Calculator and understand its results
- Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.
- Enter callerIndependentlyMappedSprinklerCellFlags, observedCellAreasM2, observedDeliveredCellLitersMinute, callerRequiredDeliveredDensityLitersMinuteM2 using the field table and calculation rules, then run the tool.
- Read observedDeliveredDensitiesLitersMinuteM2, mappedAreaMeetingCallerDeliveredDensityM2, observedMappedCoverageAreaM2, unmappedCellAreaM2, multiplyMappedAreaM2. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| callerIndependentlyMappedSprinklerCellFlags | Caller independently mapped sprinkler cell flags | list of list of number | Required |
| observedCellAreasM2 | Observed cell areas m2 | list of number | Required |
| observedDeliveredCellLitersMinute | Observed delivered cell liters minute | list of number | Required |
| callerRequiredDeliveredDensityLitersMinuteM2 | Caller required delivered density liters minute m2 | number | Required |
Enter positive cell areas, aligned nonnegative delivered flows, a nonempty rectangular binary sprinkler-by-cell matrix and nonnegative required density. Return cell densities, mapped area meeting density inclusively, mapped union, unmapped area and multiply mapped area. Count overlapping cells once per area total.
density_i=deliveredFlow_i/area_i; unionArea=sum(area where mappingCount>0) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedDeliveredDensitiesLitersMinuteM2 | Observed delivered densities liters minute m2 | list of number |
| mappedAreaMeetingCallerDeliveredDensityM2 | Mapped area meeting caller delivered density m2 | number |
| observedMappedCoverageAreaM2 | Observed mapped coverage area m2 | number |
| unmappedCellAreaM2 | Unmapped cell area m2 | number |
| multiplyMappedAreaM2 | Multiply mapped area m2 | number |
{
"input": {
"callerIndependentlyMappedSprinklerCellFlags": [
[
1,
1,
0
],
[
0,
1,
0
]
],
"observedCellAreasM2": [
1,
2,
3
],
"observedDeliveredCellLitersMinute": [
0.5,
4,
0
],
"callerRequiredDeliveredDensityLitersMinuteM2": 1
},
"output": {
"observedDeliveredDensitiesLitersMinuteM2": [
0.5,
2,
0
],
"mappedAreaMeetingCallerDeliveredDensityM2": 2,
"observedMappedCoverageAreaM2": 3,
"unmappedCellAreaM2": 3,
"multiplyMappedAreaM2": 2
}
}Limitations and assumptions
No inferred spray pattern, head placement, fire readiness or hydraulic safety design is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Matrices are limited to 128 rows and 128 entries per row. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Plumbing Sprinkler Precipitation Rate Calculator: Sprinkler precipitation is measured as collected depth per time. Catch cans representing unequal areas require area weights. For a complementary task, use Plumbing Standpipe Pressure Required Calculator: Standpipe supply pressure includes the outlet requirement, losses and elevation pressure. Comparing the supplied pressure yields a signed margin.
References
Similar or alternative tools
- Plumbing Sprinkler Precipitation Rate Calculator
Sprinkler precipitation is measured as collected depth per time. Catch cans representing unequal areas require area weights.
- Plumbing Standpipe Pressure Required Calculator
Standpipe supply pressure includes the outlet requirement, losses and elevation pressure. Comparing the supplied pressure yields a signed margin.