Roof Pitch and Shingle Material Calculator
ANA›Life Services Authority›National Calculator Authority›Roof Pitch and Shingle Material Calculator
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Roof Pitch and Shingle Material Calculator
Calculate your roof's pitch, slope angle, and estimate the number of shingles (squares) needed for your roofing project.
Horizontal Run (ft) — half the building width for a gable roof
Vertical Rise (in) — rise per 12 inches of run
Ridge Length / Building Length (ft)
Waste Factor (%)
Number of Roof Sides
2 (Gable / Hip) 1 (Shed / Lean-to)
Calculate
function rooCalc() { var run = parseFloat(document.getElementById('roo-run').value); var rise = parseFloat(document.getElementById('roo-rise').value); var length = parseFloat(document.getElementById('roo-length').value); var waste = parseFloat(document.getElementById('roo-waste').value); var sides = parseInt(document.getElementById('roo-sides').value); var res = document.getElementById('roo-result');
// --- Validation --- if (isNaN(run) || run Please enter a valid Horizontal Run greater than 0.'; return; } if (isNaN(rise) || rise Please enter a valid Vertical Rise (0 or greater).'; return; } if (isNaN(length) || length Please enter a valid Ridge Length greater than 0.'; return; } if (isNaN(waste) || waste 50) { res.innerHTML = 'Waste Factor must be between 0% and 50%.'; return; }
// --- Pitch --- // Pitch expressed as rise:12 (rise per 12 inches of run) var pitchRatio = rise; // already in rise-per-12 form from user input
// --- Slope Factor (multiplier to convert horizontal area to sloped area) --- // slope_factor = sqrt((rise/12)^2 + 1) var slopeFactor = Math.sqrt(Math.pow(rise / 12, 2) + 1);
// --- Slope Angle --- // angle = atan(rise / 12) in degrees var angleRad = Math.atan(rise / 12); var angleDeg = angleRad * (180 / Math.PI);
// --- Rafter Length --- // rafter_length = run * slope_factor (ft) var rafterLength = run * slopeFactor;
// --- Roof Surface Area --- // One side area = rafter_length * ridge_length // Total area = sides * rafter_length * ridge_length var oneSideArea = rafterLength * length; var totalArea = sides * oneSideArea;
// --- Shingle Squares --- // 1 square = 100 sq ft of roof surface // squares_needed = totalArea * (1 + waste/100) / 100 var squaresRaw = totalArea / 100; var squaresWithWaste = squaresRaw * (1 + waste / 100);
// --- Bundles --- // Standard: 3 bundles per square (for 3-tab shingles) var bundlesNeeded = Math.ceil(squaresWithWaste * 3);
// --- Pitch Category --- var pitchCategory = ''; if (rise ' + 'Roof Pitch' + rise.toFixed(1) + ':12' + 'Slope Angle' + angleDeg.toFixed(2) + '°' + 'Slope Factor' + slopeFactor.toFixed(4) + '' + 'Rafter Length' + rafterLength.toFixed(2) + ' ft' + 'Total Roof Surface Area' + totalArea.toFixed(2) + ' sq ft' + 'Squares (no waste)' + squaresRaw.toFixed(2) + ' squares' + 'Squares (with ' + waste + '% waste)' + squaresWithWaste.toFixed(2) + ' squares' + 'Bundles of Shingles Needed' + bundlesNeeded + ' bundles' + 'Pitch Category' + pitchCategory + '' + ''; }
#### Formulas Used
Slope Factor = √((rise/12)² + 1)
Slope Angle = arctan(rise / 12) × (180 / π)
Rafter Length = Horizontal Run × Slope Factor
Total Roof Area = Number of Sides × Rafter Length × Ridge Length
Squares Needed = Total Roof Area / 100 × (1 + Waste% / 100)
Bundles Needed = ⌈Squares Needed × 3⌉ (3 bundles per square for standard 3-tab shingles)
#### Assumptions & References
- One roofing square = 100 sq ft of roof surface (NRCA standard).
- Formula reference: Residential Construction Academy: Carpentry, Vogt; NRCA Roofing Manual.
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