Log Weight Calculator Metric

Log Weight Calculator Metric | Professional Timber Estimation Tool :root { –primary-color: #004a99; –primary-dark: #003377; –success-color: #28a745; –bg-color: #f8f9fa; –text-color: #333; –border-radius: 8px; –spacing: 20px; } body { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; background-color: var(–bg-color); color: var(–text-color); line-height: 1.6; margin: 0; padding: 0; } .main-container { max-width: 900px; margin: 0 auto; padding: 20px; background: #fff; box-shadow: 0 0 20px rgba(0,0,0,0.05); } header { text-align: center; margin-bottom: 40px; border-bottom: 2px solid var(–primary-color); padding-bottom: 20px; } h1 { color: var(–primary-color); font-size: 2.5rem; margin-bottom: 10px; } h2 { color: var(–primary-dark); border-left: 5px solid var(–primary-color); padding-left: 15px; margin-top: 40px; } h3 { color: #444; margin-top: 30px; } /* Calculator Styles */ .loan-calc-container { background: #fff; padding: 30px; border-radius: var(–border-radius); border: 1px solid #e0e0e0; box-shadow: 0 4px 15px rgba(0,0,0,0.05); margin-bottom: 50px; } .calc-title { text-align: center; color: var(–primary-color); margin-bottom: 25px; font-size: 1.5rem; font-weight: bold; } .input-group { margin-bottom: 20px; } .input-group label { display: block; font-weight: 600; margin-bottom: 8px; color: #555; } .input-group input, .input-group select { width: 100%; padding: 12px; border: 1px solid #ccc; border-radius: 4px; font-size: 16px; box-sizing: border-box; /* Fix for padding */ } .input-group input:focus, .input-group select:focus { border-color: var(–primary-color); outline: none; box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.1); } .helper-text { font-size: 0.85rem; color: #777; margin-top: 5px; } .error-msg { color: #dc3545; font-size: 0.85rem; margin-top: 5px; display: none; } .button-group { display: flex; gap: 15px; margin-top: 25px; justify-content: center; } button { padding: 12px 25px; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; font-weight: 600; transition: background 0.2s; } .btn-reset { background-color: #6c757d; color: white; } .btn-reset:hover { background-color: #5a6268; } .btn-copy { background-color: var(–primary-color); color: white; } .btn-copy:hover { background-color: var(–primary-dark); } /* Results Section */ .results-container { background-color: #f1f8ff; border-radius: var(–border-radius); padding: 25px; margin-top: 30px; border: 1px solid #d1e7dd; } .main-result { text-align: center; margin-bottom: 20px; background: white; padding: 20px; border-radius: 8px; border: 2px solid var(–primary-color); } .main-result-label { font-size: 1.1rem; color: #555; margin-bottom: 5px; } .main-result-value { font-size: 2.5rem; color: var(–primary-color); font-weight: 800; } .intermediate-results { display: flex; justify-content: space-between; flex-wrap: wrap; gap: 15px; margin-bottom: 20px; } .stat-box { flex: 1; min-width: 140px; background: white; padding: 15px; border-radius: 6px; text-align: center; box-shadow: 0 2px 4px rgba(0,0,0,0.05); } .stat-label { font-size: 0.9rem; color: #666; } .stat-value { font-size: 1.2rem; font-weight: bold; color: #333; margin-top: 5px; } .formula-explanation { font-size: 0.9rem; background: #fff3cd; color: #856404; padding: 10px; border-radius: 4px; margin-top: 15px; text-align: center; } /* Chart & Table */ .chart-container { margin-top: 30px; background: white; padding: 15px; border-radius: 8px; border: 1px solid #eee; position: relative; height: 300px; width: 100%; } canvas { width: 100% !important; height: 100% !important; } table { width: 100%; border-collapse: collapse; margin: 25px 0; background: white; } th, td { padding: 12px; text-align: left; border-bottom: 1px solid #ddd; } th { background-color: var(–primary-color); color: white; } tr:hover { background-color: #f5f5f5; } caption { caption-side: bottom; font-size: 0.85rem; color: #666; margin-top: 5px; text-align: left; } /* Content Styling */ .article-content { font-size: 1.1rem; color: #333; } .article-content ul, .article-content ol { margin-bottom: 20px; padding-left: 25px; } .article-content li { margin-bottom: 10px; } .internal-links { background: #e9ecef; padding: 20px; border-radius: var(–border-radius); margin-top: 40px; } .internal-links ul { list-style: none; padding: 0; } .internal-links li { margin-bottom: 12px; } .internal-links a { color: var(–primary-color); text-decoration: none; font-weight: 600; } .internal-links a:hover { text-decoration: underline; } /* Responsive */ @media (max-width: 600px) { .intermediate-results { flex-direction: column; } h1 { font-size: 2rem; } }

Log Weight Calculator Metric

A professional tool for forestry experts to estimate timber tonnage and volume.

Timber Weight Estimation
Oak, White (Green) – 980 kg/m³ Oak, Red (Green) – 1010 kg/m³ Pine, Southern Yellow (Green) – 850 kg/m³ Pine, White (Green) – 750 kg/m³ Douglas Fir (Green) – 820 kg/m³ Spruce, Sitka (Green) – 720 kg/m³ Maple, Sugar (Green) – 950 kg/m³ Ash, White (Green) – 850 kg/m³ Beech (Green) – 900 kg/m³ Cedar, Western Red (Green) – 640 kg/m³
Select the timber species. Density assumes green (freshly cut) wood.
Total length of the log in meters.
Please enter a valid positive length.
Diameter measured at the center of the log (under bark).
Please enter a valid positive diameter.
Number of logs with identical dimensions.
Please enter a quantity of at least 1.
Total Estimated Weight
0 kg
Total Volume
0 m³
Weight in Tonnes
0 t
Applied Density
0 kg/m³
Formula: Weight = (π × (Diameter/200)² × Length) × Density × Quantity
Estimated payload weights for common transport configurations based on current log settings.
Transport Count Total Volume (m³) Total Weight (kg) Total Weight (Tonnes)

What is the Log Weight Calculator Metric?

A log weight calculator metric is an essential tool for forestry professionals, truck drivers, and mill operators designed to estimate the mass of timber based on its physical dimensions and species density. Unlike simple volume calculations, this metric accounts for the specific density of wood species—often referred to as specific gravity—and the moisture content present in "green" wood.

This tool is primarily used by log haulers to ensure their loads comply with legal highway weight limits, and by sawmill operators to estimate yield and transport costs. Common misconceptions include assuming all wood weighs the same regardless of species, or that dry lumber weight applies to freshly cut logs. In reality, green logs can weigh 50% to 100% more than kiln-dried lumber due to retained sap and water.

Log Weight Calculator Metric Formula

The mathematical foundation for the log weight calculator metric relies on determining the volume of the log as a cylinder (Huber's Formula approximation) and multiplying it by the green density of the selected species.

The derivation proceeds in two steps:

  1. Calculate Volume (m³): Using the mid-diameter to approximate the average cross-sectional area.
    Volume = π × r² × L
    Where r is radius in meters and L is length in meters.
  2. Calculate Weight (kg):
    Weight = Volume × Density
Variables used in the log weight calculator metric formula.
Variable Meaning Unit Typical Range
L Length of the log Meters (m) 2.4m – 12m
D Mid-Diameter (under bark) Centimeters (cm) 20cm – 120cm
ρ (rho) Green Density kg/m³ 400 – 1100 kg/m³
W Total Weight Kilograms (kg) Varies

Practical Examples of Log Weight Calculation

Example 1: The Oak Haul

A hauler needs to transport a large Red Oak log.

  • Input: Length = 6.0m, Mid-Diameter = 60cm, Species = Red Oak (Green).
  • Calculation:
    • Radius = 30cm = 0.3m.
    • Volume = 3.14159 × (0.3)² × 6.0 ≈ 1.696 m³.
    • Density of Green Red Oak ≈ 1010 kg/m³.
    • Weight = 1.696 × 1010 ≈ 1,713 kg.
  • Result: The single log weighs approximately 1,713 kg (1.71 tonnes).

Example 2: Pine Pulpwood Stack

A forester is estimating a stack of 10 White Pine logs.

  • Input: Length = 4.0m, Mid-Diameter = 30cm, Quantity = 10.
  • Calculation:
    • Radius = 15cm = 0.15m.
    • Volume per log = 3.14159 × (0.15)² × 4.0 ≈ 0.283 m³.
    • Density of Green White Pine ≈ 750 kg/m³.
    • Weight per log = 0.283 × 750 ≈ 212 kg.
    • Total Weight = 212 kg × 10.
  • Result: The total stack weighs 2,120 kg.

How to Use This Log Weight Calculator Metric

  1. Select Species: Choose the wood type from the dropdown. This sets the density value based on green wood averages.
  2. Enter Dimensions: Input the length of the log in meters and the mid-diameter in centimeters. Ensure you measure under the bark for accuracy.
  3. Set Quantity: If you are calculating for a batch of identical logs, increase the quantity.
  4. Analyze Results: The calculator immediately provides the total weight in kilograms and tonnes, along with the cubic volume.
  5. Check the Chart: Use the visual bar chart to see how your selected wood compares to lighter (e.g., Cedar) or heavier (e.g., Oak) alternatives.

Key Factors That Affect Log Weight Results

Several variables impact the accuracy of a log weight calculator metric:

  1. Moisture Content: Freshly cut "green" wood contains significant water. As logs dry, they lose weight but not volume, drastically changing the density.
  2. Bark Thickness: Most formulas (including Huber's) use diameter inside the bark. If measuring outside the bark, weight estimates will be inflated.
  3. Log Taper: Logs are not perfect cylinders; they taper from butt to tip. Using the mid-diameter is the standard way to average this error.
  4. Species Variation: A generic "Pine" density is an average. A specific tree might be denser due to growth conditions (soil, climate, age).
  5. Defects and Hollows: Rot or hollow centers reduce the actual volume of wood fiber, making the log lighter than the calculated theoretical weight.
  6. Frozen Wood: In winter, moisture inside the log can freeze. While mass stays strictly the same, snow and ice accumulation on the bark can add external weight not accounted for in volume formulas.

Frequently Asked Questions (FAQ)

1. Is this calculator accurate for dry wood?

No, this calculator uses density values for green (fresh) timber. Kiln-dried wood is significantly lighter (often 40-50% lighter).

2. How do I convert diameter from inches to centimeters?

Multiply your inch measurement by 2.54. For example, a 20-inch diameter is 50.8 cm.

3. Why is the "mid-diameter" required?

Using the diameter at the middle of the log (Huber's Formula) provides a more accurate volume estimate than using the small end or large end alone, as it averages the taper.

4. Does this include the weight of the bark?

Generally, forestry density tables account for wood mass. Bark adds roughly 10-15% to the volume/weight depending on the species, which serves as a safety margin in transport planning.

5. What is the difference between a tonne and a ton?

This calculator uses the Metric Tonne (1,000 kg). A US Short Ton is approximately 907 kg.

6. Can I use this for firewood estimation?

Yes, but remember that firewood is often sold by the cord (stacked volume) rather than solid log volume. This calculator gives solid wood weight.

7. What if my log species isn't listed?

Select the species with the closest density to your wood, or use "Oak" for a conservative heavy estimate to ensure safety in transport limits.

8. How accurate is the density value?

Density varies biologically. The values used are industry standard averages for green wood, but individual logs can vary by +/- 10%.

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// Initialize calculator on load window.onload = function() { calculateLogWeight(); }; function calculateLogWeight() { // 1. Get Elements (using var) var elSpecies = document.getElementById("woodSpecies"); var elLength = document.getElementById("logLength"); var elDiameter = document.getElementById("midDiameter"); var elQuantity = document.getElementById("logQuantity"); var elResultWeight = document.getElementById("resultWeight"); var elResultVolume = document.getElementById("resultVolume"); var elResultTonnes = document.getElementById("resultTonnes"); var elResultDensity = document.getElementById("resultDensity"); var errLength = document.getElementById("errorLength"); var errDiameter = document.getElementById("errorDiameter"); var errQuantity = document.getElementById("errorQuantity"); // 2. Parse Inputs var density = parseFloat(elSpecies.value); var length = parseFloat(elLength.value); var diameterCm = parseFloat(elDiameter.value); var quantity = parseInt(elQuantity.value); // 3. Reset Errors errLength.style.display = "none"; errDiameter.style.display = "none"; errQuantity.style.display = "none"; var isValid = true; // 4. Validation if (isNaN(length) || length <= 0) { errLength.style.display = "block"; isValid = false; } if (isNaN(diameterCm) || diameterCm <= 0) { errDiameter.style.display = "block"; isValid = false; } if (isNaN(quantity) || quantity < 1) { errQuantity.style.display = "block"; isValid = false; } if (!isValid) { elResultWeight.innerHTML = "–"; elResultVolume.innerHTML = "–"; elResultTonnes.innerHTML = "–"; elResultDensity.innerHTML = "–"; return; } // 5. Calculation Logic (Metric) // Volume = Pi * r^2 * h // Diameter is in cm, convert to meters: d/100 // Radius = (d/100) / 2 = d/200 var radiusM = diameterCm / 200.0; var volumePerLog = Math.PI * Math.pow(radiusM, 2) * length; var totalVolume = volumePerLog * quantity; var totalWeightKg = totalVolume * density; var totalWeightTonnes = totalWeightKg / 1000.0; // 6. Update UI elResultWeight.innerText = Math.round(totalWeightKg).toLocaleString() + " kg"; elResultVolume.innerText = totalVolume.toFixed(3) + " m³"; elResultTonnes.innerText = totalWeightTonnes.toFixed(3) + " t"; elResultDensity.innerText = density + " kg/m³"; // 7. Update Chart updateChart(density, totalVolume, quantity, length, diameterCm); // 8. Update Table updateTable(totalVolume, totalWeightKg); } function updateTable(totalVol, totalWeight) { var tbody = document.getElementById("projectionTableBody"); tbody.innerHTML = ""; // Scenarios: 1 truckload (assume ~25t max), 5 loads, 10 loads // But since we are multiplying based on CURRENT settings, let's show Multipliers var multipliers = [1, 5, 10, 20]; for (var i = 0; i < multipliers.length; i++) { var m = multipliers[i]; var row = ""; row += "" + m + "x Current Load"; row += "" + (totalVol * m).toFixed(2) + " m³"; row += "" + Math.round(totalWeight * m).toLocaleString() + " kg"; row += "" + ((totalWeight * m)/1000).toFixed(2) + " t"; row += ""; tbody.innerHTML += row; } } function updateChart(currentDensity, totalVolume, quantity, length, diameter) { var canvas = document.getElementById("weightChart"); var ctx = canvas.getContext("2d"); // Clear canvas ctx.clearRect(0, 0, canvas.width, canvas.height); // Adjust canvas resolution for sharpness var rect = canvas.parentNode.getBoundingClientRect(); canvas.width = rect.width; canvas.height = rect.height; // Data Preparation // Compare Single Log weight across 3 densities: Light(Cedar ~350), Current, Heavy(Oak ~1000) // Note: Density dropdown values are green. Let's compare Dry vs Green of selected vs Heavy. // Actually simpler: Compare Selected Wood vs Cedar (Light) vs Ironwood/Oak (Heavy) for the SAME dimensions. var volOneLog = totalVolume / quantity; var densityCedar = 380; // Dry Cedar (Reference) var densityCurrent = currentDensity; var densityEbony = 1200; // Very heavy reference var wCedar = volOneLog * densityCedar; var wCurrent = volOneLog * densityCurrent; var wHeavy = volOneLog * densityEbony; var data = [wCedar, wCurrent, wHeavy]; var labels = ["Dry Cedar (Ref)", "Selected Wood", "Dense Hardwood (Ref)"]; var colors = ["#adb5bd", "#004a99", "#343a40"]; var maxVal = Math.max(wCedar, wCurrent, wHeavy) * 1.2; // 20% headroom // Draw Chart var barWidth = 60; var spacing = (canvas.width – (barWidth * 3)) / 4; var bottomPadding = 40; var chartHeight = canvas.height – bottomPadding – 40; // Top padding ctx.font = "14px Arial"; ctx.textAlign = "center"; for (var i = 0; i < 3; i++) { var val = data[i]; var barH = (val / maxVal) * chartHeight; var x = spacing + (i * (barWidth + spacing)); var y = canvas.height – bottomPadding – barH; // Draw Bar ctx.fillStyle = colors[i]; ctx.fillRect(x, y, barWidth, barH); // Draw Value ctx.fillStyle = "#333"; ctx.fillText(Math.round(val) + " kg", x + barWidth/2, y – 10); // Draw Label ctx.fillStyle = "#555"; ctx.fillText(labels[i], x + barWidth/2, canvas.height – 10); } // Legend text ctx.textAlign = "left"; ctx.fillStyle = "#666"; ctx.font = "12px Arial"; ctx.fillText("Comparison for ONE log of these dimensions", 10, 20); } function resetCalculator() { document.getElementById("woodSpecies").value = "980"; // Default Oak document.getElementById("logLength").value = "5.0"; document.getElementById("midDiameter").value = "45"; document.getElementById("logQuantity").value = "1"; calculateLogWeight(); } function copyResults() { var weight = document.getElementById("resultWeight").innerText; var vol = document.getElementById("resultVolume").innerText; var species = document.getElementById("woodSpecies"); var speciesName = species.options[species.selectedIndex].text; var text = "Log Weight Calculation Results:\n"; text += "Species: " + speciesName + "\n"; text += "Dimensions: " + document.getElementById("logLength").value + "m x " + document.getElementById("midDiameter").value + "cm\n"; text += "Quantity: " + document.getElementById("logQuantity").value + "\n"; text += "Total Weight: " + weight + "\n"; text += "Total Volume: " + vol + "\n"; // Create temp input to copy var tempInput = document.createElement("textarea"); tempInput.value = text; document.body.appendChild(tempInput); tempInput.select(); document.execCommand("copy"); document.body.removeChild(tempInput); var btn = document.querySelector(".btn-copy"); var originalText = btn.innerText; btn.innerText = "Copied!"; setTimeout(function(){ btn.innerText = originalText; }, 2000); }

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