Weight of Sand Calculator

Weight of Sand Calculator: Estimate Sand Density and Volume :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –border-color: #ddd; –card-background: #fff; –shadow: 0 2px 10px rgba(0,0,0,0.1); } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: var(–background-color); color: var(–text-color); line-height: 1.6; margin: 0; padding: 0; display: flex; flex-direction: column; align-items: center; } header { background-color: var(–primary-color); color: white; padding: 20px 0; width: 100%; text-align: center; margin-bottom: 30px; } header h1 { margin: 0; font-size: 2.5em; } main { width: 100%; max-width: 1000px; padding: 0 20px; box-sizing: border-box; display: flex; flex-direction: column; align-items: center; } .calculator-wrapper { background-color: var(–card-background); padding: 30px; border-radius: 8px; box-shadow: var(–shadow); margin-bottom: 40px; width: 100%; max-width: 700px; box-sizing: border-box; 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gap: 15px; margin-top: 25px; flex-wrap: wrap; /* Allow wrapping on smaller screens */ } .btn { padding: 12px 25px; border: none; border-radius: 5px; font-size: 1em; font-weight: bold; cursor: pointer; transition: background-color 0.3s ease, transform 0.2s ease; flex-grow: 1; /* Allow buttons to grow */ min-width: 150px; /* Minimum width for buttons */ text-align: center; } .btn-primary { background-color: var(–primary-color); color: white; } .btn-primary:hover { background-color: #003366; transform: translateY(-1px); } .btn-success { background-color: var(–success-color); color: white; } .btn-success:hover { background-color: #218838; transform: translateY(-1px); } .btn-secondary { background-color: #6c757d; color: white; } .btn-secondary:hover { background-color: #5a6268; transform: translateY(-1px); } .btn-reset { background-color: #ffc107; color: black; } .btn-reset:hover { background-color: #e0a800; transform: translateY(-1px); } #results-container { margin-top: 30px; background-color: var(–card-background); 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Weight of Sand Calculator

Your essential tool for estimating sand weight based on volume and density.

Sand Weight Calculator

Dry Loose Sand Dry Compacted Sand Wet Loose Sand Wet Compacted Sand Custom Density
Select a common sand type or choose 'Custom' to enter your own density.
Enter density in kg/m³ (kilograms per cubic meter).
Enter the volume of sand.

Results

Estimated Sand Density: kg/m³
Volume Unit:
Total Volume:
Estimated Weight: kg
Formula Used: Weight = Volume × Density
Typical Sand Densities
Sand Type Density (kg/m³) Notes
Dry Loose Sand 1440 – 1600 As poured, uncompressed. Common for landscaping.
Dry Compacted Sand 1600 – 1760 Vibrated or tamped down. Used in construction bases.
Wet Loose Sand 1760 – 1920 Saturated with water, still loose. Heavy due to water content.
Wet Compacted Sand 1920 – 2080 Saturated and compacted. Maximum weight for sand.
Crushed Stone Sand 1500 – 1700 Manufactured sand, properties can vary.
All-Purpose Play Sand (Dry) 1500 – 1650 Often washed and screened for safety.
Weight of Sand vs. Volume at Different Densities

What is Weight of Sand?

The "weight of sand" refers to the total mass of a given quantity of sand. Sand, a granular material composed of finely divided rock and mineral particles, has a significant weight due to its density and the sheer volume it occupies. Understanding the weight of sand is crucial for various applications, from construction projects and landscaping to transportation logistics and material purchasing. It allows for accurate budgeting, safe handling, and efficient planning.

Who should use it: This calculation is vital for construction managers, site foremen, landscape designers, contractors, material suppliers, DIY enthusiasts undertaking home improvement projects, and anyone involved in bulk material handling. It helps in estimating payload capacity for trucks, calculating the load-bearing capacity of soil, determining the amount of sand needed for specific projects (like backfilling or creating foundations), and ensuring compliance with weight regulations.

Common misconceptions: A frequent misconception is that all sand weighs the same. In reality, the weight of sand varies significantly based on its type (e.g., fine vs. coarse grain), moisture content (wet sand is much heavier), and how compacted it is. Another misconception is that volume directly translates to weight without considering density, which is the key factor differentiating the weight of sand per cubic meter.

Weight of Sand Formula and Mathematical Explanation

Calculating the weight of sand is a straightforward application of the fundamental physics principle relating mass, volume, and density. The core formula is:

Weight = Volume × Density

Let's break down each component:

  • Weight (Mass): This is the total mass of the sand you are calculating. It's typically measured in kilograms (kg) or tons.
  • Volume: This is the amount of space the sand occupies. It's commonly measured in cubic meters (m³), cubic feet (ft³), or cubic yards (yd³). For consistency in calculation, we usually convert all volume measurements to a standard unit, like cubic meters.
  • Density: This is the mass of the sand per unit of volume. It tells us how tightly packed the sand particles are. Density is usually expressed in kilograms per cubic meter (kg/m³). The density of sand varies greatly depending on its composition, grain size, moisture content, and compaction level.

Step-by-step derivation:

  1. Determine the Volume: Measure or estimate the volume of sand. If your measurements are in different units (e.g., length, width, height in meters), calculate the volume by multiplying these dimensions (Volume = Length × Width × Height). Ensure the unit is consistent (e.g., cubic meters).
  2. Identify the Density: Determine the appropriate density for the type of sand you are using. You can use standard values based on sand type (as listed in the table above) or a custom measured density if available. Remember that moisture and compaction significantly impact density.
  3. Apply the Formula: Multiply the volume of the sand by its density to find the total weight.

Variables Table:

Variables in Sand Weight Calculation
Variable Meaning Unit Typical Range
Volume The amount of space occupied by the sand. m³ (Cubic Meter) Varies widely based on project needs (e.g., 0.5 m³ to 50 m³).
Density Mass per unit volume of the sand. kg/m³ (Kilograms per Cubic Meter) 1440 kg/m³ (dry loose) to 2080 kg/m³ (wet compacted).
Weight The total mass of the sand. kg (Kilograms) Calculated result, e.g., 720 kg to 104,000 kg.

This fundamental relationship allows us to predict the weight of sand with reasonable accuracy, provided we have reliable data for volume and density.

Practical Examples (Real-World Use Cases)

Understanding the weight of sand is critical in practical scenarios. Here are a couple of examples:

Example 1: Landscaping a Garden Bed

A homeowner wants to create a raised garden bed that measures 3 meters long, 1.5 meters wide, and 0.3 meters deep. They plan to fill it with dry, loose sand as a base layer for drainage before adding soil.

  • Inputs:
  • Sand Type: Dry Loose Sand
  • Volume: (3m × 1.5m × 0.3m) = 1.35 m³
  • Density: Approximately 1500 kg/m³ (typical for dry loose sand)
  • Calculation:
  • Weight = Volume × Density
  • Weight = 1.35 m³ × 1500 kg/m³ = 2025 kg
  • Interpretation: The homeowner will need approximately 2025 kilograms of dry, loose sand for this garden bed. This helps them order the correct amount from a supplier and ensure their truck can handle the load if transporting it themselves.

Example 2: Construction Foundation Base

A contractor is preparing a foundation for a small structure. They need to compact a layer of sand for a solid base. The area to cover is 10 meters by 8 meters, and they require a compacted sand layer of 0.2 meters.

  • Inputs:
  • Sand Type: Dry Compacted Sand
  • Volume: (10m × 8m × 0.2m) = 16 m³
  • Density: Approximately 1700 kg/m³ (typical for dry compacted sand)
  • Calculation:
  • Weight = Volume × Density
  • Weight = 16 m³ × 1700 kg/m³ = 27,200 kg
  • Interpretation: This project requires 27,200 kilograms of dry, compacted sand. This significant weight calculation is vital for ensuring the ground can support the load and for planning the delivery and handling of such a large quantity of material. This weight impacts the logistics and potential need for heavy machinery.

How to Use This Weight of Sand Calculator

Our Weight of Sand Calculator is designed for simplicity and accuracy. Follow these steps to get your results:

  1. Select Sand Type: Choose the type of sand from the dropdown menu. Options include common categories like "Dry Loose Sand," "Wet Compacted Sand," etc. If you have a specific density measurement, select "Custom Density."
  2. Enter Custom Density (If Applicable): If you chose "Custom Density," a new field will appear. Enter the precise density value in kilograms per cubic meter (kg/m³). Ensure this value is accurate for your specific sand.
  3. Input Volume: Enter the volume of sand you need to calculate the weight for. The default unit is cubic meters (m³). The helper text will guide you on the expected input.
  4. Validate Inputs: As you type, the calculator performs inline validation. Error messages will appear below fields if you enter non-numeric, negative, or invalid values. Ensure all fields are correctly filled.
  5. Calculate Weight: Click the "Calculate Weight" button.

How to Read Results:

  • Estimated Sand Density: Shows the density (in kg/m³) used in the calculation, based on your sand type selection or custom input.
  • Volume Unit: Confirms the unit of volume used (typically m³).
  • Total Volume: Displays the volume you entered.
  • Estimated Weight: This is the primary result, shown in kilograms (kg). It represents the total mass of the sand.

Decision-Making Guidance:

  • Use the estimated weight to order the correct quantity of sand from suppliers.
  • Compare the calculated weight against the payload capacity of vehicles or equipment for safe transportation.
  • Factor this weight into structural load calculations for foundations or backfill projects.
  • Adjust your calculations if you anticipate significant changes in moisture content or compaction during your project.

Copy Results: Click "Copy Results" to copy all calculated values and key assumptions (like density and units) to your clipboard for use in reports, spreadsheets, or notes.

Key Factors That Affect Weight of Sand Results

While the formula Weight = Volume × Density is simple, several factors influence the density, and thus the final weight of sand. Understanding these is key to accurate estimations:

  1. Moisture Content: This is perhaps the most significant factor. Dry sand is lighter than wet sand. Water fills the voids between sand particles, adding considerable mass. A cubic meter of wet sand can weigh significantly more than the same volume of dry sand.
  2. Compaction Level: How tightly the sand is packed directly affects its density. Loose sand has more air pockets, resulting in lower density and weight. Compacted or vibrated sand has fewer air pockets, increasing its density and weight per unit volume. Construction projects often require specific compaction levels.
  3. Particle Size and Shape (Gradation): Finer sand particles can pack more densely than coarser ones. The shape of the grains (rounded vs. angular) also plays a role. Angular grains tend to interlock better, potentially leading to higher density when compacted.
  4. Material Composition: While we generally refer to 'sand', the exact mineral composition can vary (e.g., quartz, feldspar, heavy minerals). Sands rich in heavier minerals will naturally have a higher density than those primarily composed of lighter silica grains.
  5. Impurities and Added Materials: Sand may contain impurities like silt, clay, organic matter, or even small pebbles. These can affect the packing efficiency and overall density. Sometimes, additives are mixed with sand for specific applications, altering its weight characteristics.
  6. Temperature: While less significant for sand itself compared to liquids, extreme temperature fluctuations can subtly affect the volume occupied by the material and its moisture content (evaporation/condensation), indirectly influencing density and weight.

Accurate estimation requires considering these variables, especially moisture and compaction, which are often underestimated.

Frequently Asked Questions (FAQ)

Q1: What is the standard density of sand?

A1: There isn't one single "standard" density. It varies greatly. Typical values range from about 1440 kg/m³ for dry loose sand to over 2080 kg/m³ for wet compacted sand. Always consider the specific conditions.

Q2: How much does a cubic meter of sand weigh?

A2: A cubic meter of sand can weigh anywhere from roughly 1440 kg to over 2080 kg, depending heavily on its moisture content and compaction. For a general estimate, many use around 1600 kg/m³ for dry sand.

Q3: Is wet sand heavier than dry sand?

A3: Yes, significantly. Wet sand weighs more because the water fills the voids between the sand particles, adding its own mass to the total. The difference can be hundreds of kilograms per cubic meter.

Q4: How does compaction affect sand weight?

A4: Compaction increases the density of sand. By reducing the air pockets between grains, more sand particles fit into the same volume, making it heavier. Vibrated or tamped sand is denser and heavier than loose sand.

Q5: Do I need to convert units before using the calculator?

A5: The calculator is set up to use cubic meters (m³) for volume and kilograms per cubic meter (kg/m³) for density. If your measurements are in other units (like cubic feet or cubic yards), you'll need to convert them to cubic meters before inputting them for accurate results.

Q6: How accurate is this weight of sand calculator?

A6: The calculator's accuracy depends entirely on the accuracy of the input values, particularly the density. Using standard density values provides a good estimate, but for critical applications, measuring the actual density of the specific sand being used is recommended.

Q7: What kind of sand is used in construction?

A7: Construction sand varies. Often, coarse, sharp sand (like concrete sand or grit sand) is used for strength in concrete mixes. Finer sands might be used for plastering or as fill material. Compacted sand is common for foundation bases and sub-bases.

Q8: Can I use this calculator for gravel or crushed stone?

A8: While the basic formula (Weight = Volume × Density) applies, gravel and crushed stone have different density ranges than sand. This calculator uses typical sand densities. For gravel or crushed stone, you would need to find and input their specific density values.

© 2023 Your Company Name. All rights reserved.

Disclaimer: This calculator provides estimates for educational and planning purposes. Always consult with professionals for critical projects.

var sandDensities = { dry_loose: { density: 1500, unit: 'kg/m³', volumeUnit: 'm³' }, dry_compacted: { density: 1700, unit: 'kg/m³', volumeUnit: 'm³' }, wet_loose: { density: 1850, unit: 'kg/m³', volumeUnit: 'm³' }, wet_compacted: { density: 2000, unit: 'kg/m³', volumeUnit: 'm³' } }; var currentDensity = 1500; var currentVolumeUnit = 'm³'; var currentWeightUnit = 'kg'; function getElement(id) { return document.getElementById(id); } function updateDensityAndUnits() { var sandTypeSelect = getElement('sandType'); var selectedType = sandTypeSelect.value; var customDensityGroup = getElement('customDensityGroup'); var customDensityInput = getElement('customDensity'); var customDensityUnitDisplay = getElement('customDensityUnitDisplay'); if (selectedType === 'custom') { customDensityGroup.style.display = 'flex'; // Temporarily set currentDensity to placeholder value, calculation will use input currentDensity = parseFloat(customDensityInput.value) || 1500; customDensityUnitDisplay.textContent = 'Enter density in kg/m³ (kilograms per cubic meter).'; } else { customDensityGroup.style.display = 'none'; var data = sandDensities[selectedType]; currentDensity = data.density; currentVolumeUnit = data.volumeUnit; currentWeightUnit = 'kg'; // Assuming kg for weight consistently customDensityUnitDisplay.textContent = 'Density units: kg/m³'; // Reset helper text if hidden } updateDisplayUnits(); calculateWeight(); // Recalculate on type change } function updateDisplayUnits() { var displayDensityUnitSpans = document.querySelectorAll('[id$="DensityUnit"]'); var displayVolumeUnitSpans = document.querySelectorAll('[id$="VolumeUnit"]'); displayDensityUnitSpans.forEach(function(span) { span.textContent = currentDensity.toString().endsWith('lb/ft³') ? 'lb/ft³' : 'kg/m³'; }); displayVolumeUnitSpans.forEach(function(span) { span.textContent = currentVolumeUnit; }); getElement('mainResult').querySelector('span:last-child').textContent = currentWeightUnit; } function validateInput(inputElement) { var id = inputElement.id; var value = inputElement.value; var errorElement = getElement(id + 'Error'); var isValid = true; if (value === ") { errorElement.textContent = 'This field cannot be empty.'; isValid = false; } else { var numberValue = parseFloat(value); if (isNaN(numberValue)) { errorElement.textContent = 'Please enter a valid number.'; isValid = false; } else if (numberValue < 0) { errorElement.textContent = 'Value cannot be negative.'; isValid = false; } else { // Specific range checks if needed errorElement.textContent = ''; // Clear error } } // Highlight input border on error inputElement.style.borderColor = isValid ? '#ccc' : '#dc3545'; return isValid; } function calculateWeight() { var volumeInput = getElement('volume'); var sandTypeSelect = getElement('sandType'); var customDensityInput = getElement('customDensity'); var volumeValid = validateInput(volumeInput); var density = currentDensity; // Default to stored density if (sandTypeSelect.value === 'custom') { var customDensityValid = validateInput(customDensityInput); if (!customDensityValid) { // Use the stored currentDensity if custom input is invalid, or reset to default density = parseFloat(customDensityInput.value) || currentDensity; } else { density = parseFloat(customDensityInput.value); } } if (!volumeValid) { updateResultDisplay('–', '–', '–', '–'); return; } var volume = parseFloat(volumeInput.value); // Ensure density is a valid number if (isNaN(density) || density <= 0) { density = currentDensity; // Fallback to stored value if custom is invalid if(isNaN(density) || density <= 0) density = 1500; // Absolute fallback if (sandTypeSelect.value === 'custom') { getElement('customDensity').value = density; // Correct the input field validateInput(getElement('customDensity')); // Re-validate to show correct state } } var weight = volume * density; updateResultDisplay(density.toFixed(2), volume.toFixed(2), volume.toFixed(2), weight.toFixed(2)); } function updateResultDisplay(density, volume, displayVolume, weight) { getElement('displayDensity').textContent = density; getElement('displayVolume').textContent = displayVolume; getElement('mainResult').querySelector('span:first-child').textContent = weight; } function resetCalculator() { getElement('sandType').value = 'dry_loose'; getElement('customDensity').value = ''; getElement('volume').value = '5'; // Sensible default updateDensityAndUnits(); // This will reset density and other elements based on 'dry_loose' calculateWeight(); // Trigger calculation with defaults } function copyResults() { var density = getElement('displayDensity').textContent; var densityUnit = getElement('displayDensityUnit').textContent; var volume = getElement('displayVolume').textContent; var volumeUnit = getElement('displayVolumeUnitFooter').textContent; var weight = getElement('mainResult').querySelector('span:first-child').textContent; var weightUnit = getElement('mainResult').querySelector('span:last-child').textContent; var assumptions = "Sand Type: " + getElement('sandType').options[getElement('sandType').selectedIndex].text + "\n"; if (getElement('sandType').value === 'custom') { assumptions += "Custom Density: " + getElement('customDensity').value + " " + densityUnit + "\n"; } var textToCopy = "— Sand Weight Calculation Results —\n\n" + "Estimated Density: " + density + " " + densityUnit + "\n" + "Volume: " + volume + " " + volumeUnit + "\n" + "Estimated Weight: " + weight + " " + weightUnit + "\n\n" + "— Key Assumptions —\n" + assumptions; navigator.clipboard.writeText(textToCopy).then(function() { // Optional: show a temporary success message var copyButton = getElement('copy-button'); var originalText = copyButton.textContent; copyButton.textContent = 'Copied!'; copyButton.classList.add('btn-success'); setTimeout(function() { copyButton.textContent = originalText; copyButton.classList.remove('btn-success'); }, 2000); }).catch(function(err) { console.error('Failed to copy text: ', err); // Optional: show error message var copyButton = getElement('copy-button'); var originalText = copyButton.textContent; copyButton.textContent = 'Copy Failed!'; copyButton.classList.add('btn-danger'); // Assuming a btn-danger class exists or using inline style setTimeout(function() { copyButton.textContent = originalText; copyButton.classList.remove('btn-danger'); }, 2000); }); } // Charting function drawChart() { var canvas = getElement('sandWeightChart'); var ctx = canvas.getContext('2d'); ctx.clearRect(0, 0, canvas.width, canvas.height); // Clear previous drawing var volumes = [1, 2, 5, 10, 20, 30, 50]; // Example volumes var densities = [ { name: 'Dry Loose', value: sandDensities.dry_loose.density }, { name: 'Dry Compacted', value: sandDensities.dry_compacted.density }, { name: 'Wet Loose', value: sandDensities.wet_loose.density }, { name: 'Wet Compacted', value: sandDensities.wet_compacted.density } ]; var weights = {}; densities.forEach(function(d) { weights[d.name] = volumes.map(function(v) { return v * d.value; }); }); // Charting configuration var chartWidth = canvas.parentElement.clientWidth; // Use parent width var chartHeight = 300; // Fixed height for chart area canvas.width = chartWidth; canvas.height = chartHeight; var padding = 40; var chartAreaWidth = chartWidth – 2 * padding; var chartAreaHeight = chartHeight – 2 * padding; var maxValue = Math.max(…Object.values(weights).flat()); var maxY = maxValue * 1.1; // Add some buffer ctx.fillStyle = '#fff'; ctx.fillRect(0, 0, chartWidth, chartHeight); // Draw Axes ctx.strokeStyle = '#ccc'; ctx.lineWidth = 1; // Y-axis ctx.beginPath(); ctx.moveTo(padding, padding); ctx.lineTo(padding, chartHeight – padding); ctx.stroke(); // X-axis ctx.beginPath(); ctx.moveTo(padding, chartHeight – padding); ctx.lineTo(chartWidth – padding, chartHeight – padding); ctx.stroke(); // Y-axis labels and ticks ctx.fillStyle = '#333'; ctx.textAlign = 'right'; ctx.textBaseline = 'middle'; var numYLabels = 5; for (var i = 0; i <= numYLabels; i++) { var yValue = maxY * (i / numYLabels); var yPos = chartHeight – padding – (yValue / maxY) * chartAreaHeight; ctx.fillText(yValue.toFixed(0), padding – 10, yPos); ctx.beginPath(); ctx.moveTo(padding – 5, yPos); ctx.lineTo(padding, yPos); ctx.stroke(); } // X-axis labels and ticks ctx.textAlign = 'center'; ctx.textBaseline = 'top'; volumes.forEach(function(v, index) { var xPos = padding + (index + 0.5) * (chartAreaWidth / volumes.length); ctx.fillText(v + ' m³', xPos, chartHeight – padding + 10); ctx.beginPath(); ctx.moveTo(xPos, chartHeight – padding); ctx.lineTo(xPos, chartHeight – padding + 5); ctx.stroke(); }); // Draw data series var colors = ['#004a99', '#28a745', '#ffc107', '#6c757d']; var colorsIndex = 0; for (var densityName in weights) { ctx.beginPath(); ctx.strokeStyle = colors[colorsIndex % colors.length]; ctx.lineWidth = 2; weights[densityName].forEach(function(weight, index) { var xPos = padding + (index + 0.5) * (chartAreaWidth / volumes.length); var yPos = chartHeight – padding – (weight / maxY) * chartAreaHeight; if (index === 0) { ctx.moveTo(xPos, yPos); } else { ctx.lineTo(xPos, yPos); } }); ctx.stroke(); colorsIndex++; } // Draw legend (simplified, above chart) ctx.textAlign = 'left'; ctx.textBaseline = 'bottom'; var legendX = padding; var legendY = padding – 10; colorsIndex = 0; for (var densityName in weights) { ctx.fillStyle = colors[colorsIndex % colors.length]; ctx.fillText(densityName + ": " + sandDensities[densityName.toLowerCase().replace(' ', '_')].density + " kg/m³", legendX, legendY); legendX += 180; // Adjust spacing between legend items colorsIndex++; } } // Initial setup window.onload = function() { updateDensityAndUnits(); // Set initial units and density calculateWeight(); // Perform initial calculation drawChart(); // Draw the initial chart window.addEventListener('resize', drawChart); // Redraw chart on resize };

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