Sprinkler Head Coverage & Spacing Calculator
ANA›Life Services Authority›National Calculator Authority›Sprinkler Head Coverage & Spacing Calculator
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Sprinkler Head Coverage & Spacing Calculator
Calculate the coverage area per sprinkler head, recommended head spacing, and the total number of heads required to irrigate a rectangular zone.
Sprinkler Throw Radius (ft)
Sprinkler Arc Angle (degrees)
Head-to-Head Overlap Factor (%)
Industry standard is 50% (head-to-head coverage). Higher % = more overlap.
Zone Length (ft)
Zone Width (ft)
Calculate
function sprCalc() { const resultDiv = document.getElementById('spr-result'); resultDiv.style.display = 'block';
const radius = parseFloat(document.getElementById('spr-radius').value); const arc = parseFloat(document.getElementById('spr-arc').value); const overlap = parseFloat(document.getElementById('spr-overlap').value); const zoneLen = parseFloat(document.getElementById('spr-zone-length').value); const zoneWid = parseFloat(document.getElementById('spr-zone-width').value);
// --- Validation --- const errors = []; if (isNaN(radius) || radius 360) errors.push("Arc angle must be between 1 and 360 degrees."); if (isNaN(overlap) || overlap = 100) errors.push("Overlap factor must be between 0 and 99%."); if (isNaN(zoneLen) || zoneLen 0) { resultDiv.innerHTML = 'Please fix the following:' + errors.map(e => '').join('') + ''; return; }
// --- Core Calculations ---
// 1. Coverage area per head (sector of a circle) // A = (arc / 360) * π * r² const arcRad = (arc / 360) * Math.PI * radius * radius; const coverageArea = arcRad; // ft²
// 2. Effective spacing (head-to-head) // Spacing = radius * (1 - overlap/100) * 2 // At 50% overlap: spacing = radius (heads placed one radius apart = head-to-head) const spacingFactor = 1 - (overlap / 100); const headSpacing = 2 * radius * spacingFactor; // ft between heads
// 3. Number of heads along each dimension // Use ceiling so the entire zone is covered const headsAlongLength = Math.ceil(zoneLen / headSpacing); const headsAlongWidth = Math.ceil(zoneWid / headSpacing); const totalHeads = headsAlongLength * headsAlongWidth;
// 4. Total zone area const zoneArea = zoneLen * zoneWid; // ft²
// 5. Total irrigated area (with overlap counted once per head) const totalIrrigatedArea = totalHeads * coverageArea; // ft² (includes overlapping regions)
// 6. Precipitation rate (in/hr) — simplified uniform distribution // PR = (96.25 * GPM) / (spacing²) — requires GPM; show formula note instead // The calculator computes effective area density: heads per 1000 ft² const headsPer1000 = (totalHeads / zoneArea) * 1000;
// 7. Actual spacing achieved (zone divided evenly) const actualSpacingLen = zoneLen / headsAlongLength; const actualSpacingWid = zoneWid / headsAlongWidth;
// --- Format output --- resultDiv.innerHTML = ` ### Results
ParameterValue Coverage Area per Head${coverageArea.toFixed(2)} ft² Recommended Head Spacing (at ${overlap}% overlap)${headSpacing.toFixed(2)} ft Actual Spacing Along Length${actualSpacingLen.toFixed(2)} ft Actual Spacing Along Width${actualSpacingWid.toFixed(2)} ft Heads Along Length (${zoneLen} ft)${headsAlongLength} Heads Along Width (${zoneWid} ft)${headsAlongWidth} Total Heads Required${totalHeads} Zone Area${zoneArea.toFixed(2)} ft² Total Irrigated Area (with overlap)${totalIrrigatedArea.toFixed(2)} ft² Head Density${headsPer1000.toFixed(2)} heads per 1,000 ft²
- Note: Actual spacing is adjusted so heads are distributed evenly across the zone.
- Spacing along length = ${actualSpacingLen.toFixed(2)} ft; along width = ${actualSpacingWid.toFixed(2)} ft.
- ${(actualSpacingLen > headSpacing * 1.05 || actualSpacingWid > headSpacing * 1.05)
- ? '⚠ Actual spacing exceeds recommended spacing in one or more directions — consider adding a row/column of heads.'
- '✔ Spacing is within the recommended overlap range.'}
`; }
#### Formulas Used
1. Coverage Area per Head (sector of a circle):
A = (arc° / 360) × π × r²
Where r = throw radius (ft), arc° = sprinkler arc angle.
2. Recommended Head Spacing:
S = 2 × r × (1 − overlap / 100)
At the industry-standard 50% overlap: S = r (head-to-head spacing equals the radius).
3. Number of Heads per Row / Column:
n_L = ⌈Zone Length / S⌉ n_W = ⌈Zone Width / S⌉
4. Total Heads:
N = n_L × n_W
5. Actual Spacing (evenly distributed):
S_actual_L = Zone Length / n_L S_actual_W = Zone Width / n_W
#### Assumptions & References
- Head-to-head coverage (50% overlap) is the industry standard recommended by the Irrigation Association (IA) and Rain Bird. It ensures uniform distribution uniformity (DU ≥ 0.70).
- Coverage area is calculated as a circular sector: A = (arc/360) × π × r².
- For precipitation rate (in/hr), use: PR = (96.25 × GPM) / S² once flow rate per head is known (Hunter Industries, 2023).
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