Aluminum Alloy Weight Calculator

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Aluminum Alloy Weight Calculator

Accurately determine the weight of your aluminum alloy components.

Aluminum Alloy Weight Calculator

Rectangular Bar Round Bar Tube Sheet Choose the geometric shape of your aluminum alloy.
Enter the length of the component.
Enter the width (for rectangular bars).
Enter the height (for rectangular bars).
Enter the diameter (for round bars/tubes).
Enter the wall thickness (for tubes).
Enter the width of the sheet.
Enter the length of the sheet.
Enter the thickness of the sheet.
2.70 g/cm³ (Common Alloys like 6061, 7075) 2.64 g/cm³ (e.g., 5052) 2.78 g/cm³ (e.g., 2024) Custom Select or enter the density of your specific aluminum alloy.
Metric (cm, g, kg) Imperial (in, oz, lb) Choose your preferred unit system.

Calculation Results

Volume:
Density Used:
Material:
Weight = Volume × Density

What is Aluminum Alloy Weight Calculation?

The aluminum alloy weight calculator is a specialized tool designed to estimate the mass of components made from various aluminum alloys. Aluminum alloys are metals composed primarily of aluminum, with added elements like copper, magnesium, silicon, zinc, and others to enhance specific properties such as strength, hardness, corrosion resistance, and weldability. Understanding the weight of these components is crucial for numerous applications, from aerospace and automotive manufacturing to construction and consumer goods. This calculator simplifies the process by taking geometric dimensions and alloy density as inputs to provide an accurate weight output.

Who should use it?

  • Engineers and designers specifying materials for new projects.
  • Procurement specialists ordering raw materials or fabricated parts.
  • Manufacturers calculating material usage and shipping costs.
  • Students and educators learning about material science and engineering principles.
  • DIY enthusiasts and hobbyists working with aluminum.

Common Misconceptions:

  • All aluminum alloys weigh the same: This is incorrect. While aluminum is generally lightweight compared to steel, different alloys have slightly varying densities due to their elemental composition.
  • Weight calculation is complex: While the underlying physics involves volume and density, a good calculator makes it straightforward, requiring only basic measurements.
  • Weight is irrelevant for aluminum: Even though aluminum is light, precise weight calculations are vital for performance-critical applications (e.g., aircraft weight limits) and cost management.

Aluminum Alloy Weight Calculation Formula and Mathematical Explanation

The fundamental principle behind calculating the weight of any object, including aluminum alloy components, is the relationship between its volume, density, and mass. The formula is straightforward:

Weight = Volume × Density

Let's break down the components:

  1. Volume (V): This is the amount of three-dimensional space the aluminum alloy component occupies. The calculation of volume depends entirely on the shape of the component.
  2. Density (ρ): This is a material property that describes how much mass is contained in a given volume. For aluminum alloys, density is typically measured in grams per cubic centimeter (g/cm³) or pounds per cubic inch (lb/in³). Different alloys have slightly different densities.

Step-by-step derivation:

  1. Determine the Shape: Identify the geometric form of the aluminum component (e.g., rectangular bar, round bar, tube, sheet).
  2. Measure Dimensions: Accurately measure the relevant dimensions (length, width, height, diameter, thickness) based on the shape. Ensure all measurements are in the same unit system (e.g., all in centimeters or all in inches).
  3. Calculate Volume: Apply the appropriate geometric formula to calculate the volume.
    • Rectangular Bar: V = Length × Width × Height
    • Round Bar: V = π × (Diameter/2)² × Length
    • Tube (Hollow Cylinder): V = π × [(Outer Diameter/2)² – (Inner Diameter/2)²] × Length
    • Sheet: V = Sheet Width × Sheet Length × Sheet Thickness
  4. Identify Alloy Density: Determine the density of the specific aluminum alloy being used. This information is often available from the material supplier or can be found in material property databases. Common densities are provided in the calculator's dropdown.
  5. Calculate Weight: Multiply the calculated volume by the alloy's density. The resulting unit will depend on the units used for volume and density (e.g., cm³ × g/cm³ = g; in³ × lb/in³ = lb).

Variable Explanations:

Variable Meaning Unit Typical Range
Length (L) The longest dimension of the component. cm or in Varies widely
Width (W) The dimension perpendicular to length for rectangular shapes. cm or in Varies widely
Height (H) The dimension perpendicular to length and width for rectangular shapes. cm or in Varies widely
Diameter (D) The distance across the center of a circular cross-section. cm or in Varies widely
Wall Thickness (t) The thickness of the material forming the wall of a tube. cm or in 0.1 – 5+
Sheet Width (Ws) The width of a flat sheet. cm or in Varies widely
Sheet Length (Ls) The length of a flat sheet. cm or in Varies widely
Sheet Thickness (ts) The thickness of a flat sheet. cm or in 0.1 – 5+
Density (ρ) Mass per unit volume of the aluminum alloy. g/cm³ or lb/in³ ~2.64 – 2.80 g/cm³
Volume (V) The space occupied by the component. cm³ or in³ Calculated
Weight (Wt) The mass of the component. g, kg, oz, or lb Calculated

Practical Examples (Real-World Use Cases)

Let's illustrate the aluminum alloy weight calculator with practical scenarios:

Example 1: Calculating the weight of a 6061 Aluminum Rectangular Bar

  • Shape: Rectangular Bar
  • Dimensions: Length = 150 cm, Width = 10 cm, Height = 5 cm
  • Alloy Density: 2.70 g/cm³ (Typical for 6061)
  • Units: Metric (cm, g, kg)

Calculation Steps:

  1. Volume: V = 150 cm × 10 cm × 5 cm = 7500 cm³
  2. Weight: Weight = 7500 cm³ × 2.70 g/cm³ = 20250 g
  3. Convert to kg: 20250 g / 1000 = 20.25 kg

Result Interpretation: A 1.5-meter long bar of 6061 aluminum with a 10cm x 5cm cross-section weighs approximately 20.25 kilograms. This information is vital for shipping cost estimation and structural load calculations.

Example 2: Calculating the weight of a 5052 Aluminum Sheet

  • Shape: Sheet
  • Dimensions: Sheet Width = 48 inches, Sheet Length = 96 inches, Sheet Thickness = 0.125 inches (1/8 inch)
  • Alloy Density: 2.64 g/cm³ (Typical for 5052). We need to convert this to lb/in³ for imperial units. 1 g/cm³ ≈ 0.036127 lb/in³. So, 2.64 g/cm³ ≈ 0.09536 lb/in³.
  • Units: Imperial (in, oz, lb)

Calculation Steps:

  1. Volume: V = 48 in × 96 in × 0.125 in = 576 in³
  2. Weight: Weight = 576 in³ × 0.09536 lb/in³ ≈ 54.93 lb

Result Interpretation: A standard 4×8 foot sheet of 5052 aluminum with 1/8 inch thickness weighs approximately 54.93 pounds. This is useful for material handling and project planning.

How to Use This Aluminum Alloy Weight Calculator

Using the aluminum alloy weight calculator is designed to be intuitive. Follow these simple steps:

  1. Select Shape: Choose the geometric shape of your aluminum component from the 'Select Shape' dropdown menu. The calculator will dynamically adjust the visible input fields accordingly.
  2. Enter Dimensions: Input the precise measurements for your component. Ensure you use the correct units (e.g., cm for metric, inches for imperial). The calculator will guide you on which dimensions are needed for each shape.
  3. Specify Alloy Density: Select the density corresponding to your specific aluminum alloy from the dropdown. If your alloy isn't listed, choose 'Custom' and enter its density value in g/cm³. Accurate density is key to accurate weight.
  4. Choose Units: Select your preferred unit system (Metric or Imperial) for the final weight calculation.
  5. Calculate: Click the 'Calculate Weight' button.

How to Read Results:

  • Volume: The calculated volume of your component in the selected units (e.g., cm³ or in³).
  • Density Used: The density value (g/cm³ or lb/in³) that was applied in the calculation, confirming whether a standard or custom value was used.
  • Material: Indicates the type of aluminum alloy based on the selected density (or 'Custom').
  • Primary Result (Weight): This is the main output, showing the estimated weight of your aluminum component in grams/kilograms or ounces/pounds.

Decision-Making Guidance:

  • Material Procurement: Use the calculated weight to order the correct amount of raw material, minimizing waste and ensuring sufficient supply.
  • Shipping & Logistics: Estimate shipping costs and plan transportation based on the total weight of components or finished products.
  • Structural Integrity: For applications where weight is critical (e.g., aerospace, automotive), ensure the component's weight aligns with design specifications and load-bearing requirements.
  • Cost Analysis: Factor the material cost (often priced per unit weight) into your project budget.

Key Factors That Affect Aluminum Alloy Weight Results

While the core formula (Weight = Volume × Density) is simple, several factors influence the accuracy and relevance of the calculated aluminum alloy weight:

  1. Dimensional Accuracy: The most significant factor. Slight inaccuracies in measuring length, width, height, diameter, or thickness can lead to substantial errors in the calculated volume and, consequently, the weight. Precision in measurement is paramount.
  2. Alloy Density Variation: As mentioned, different aluminum alloys have distinct densities. Using a generic density value when a specific one is known can introduce errors. Always try to use the density for the exact alloy grade (e.g., 6061 vs. 7075). The calculator provides common values, but consulting material datasheets is best.
  3. Unit System Consistency: Mixing units (e.g., measuring length in cm but width in inches) will result in an incorrect volume calculation. Ensure all input dimensions are converted to a single, consistent unit system (metric or imperial) before calculation.
  4. Component Complexity: The calculator handles standard geometric shapes. Complex, irregular shapes require more advanced CAD software or breaking down the component into simpler geometric volumes for approximation.
  5. Tolerances: Manufacturing processes have tolerances, meaning the actual dimensions might slightly deviate from the nominal ones. For critical applications, consider the potential weight variation due to these tolerances.
  6. Surface Treatments/Coatings: While typically minor, processes like anodizing or painting add a small amount of material and thus weight. For highly precise calculations, this might need to be accounted for, though it's often negligible for general purposes.
  7. Hollow vs. Solid: For tubes, correctly calculating the volume of the material itself (outer volume minus inner volume) is crucial. Mistaking a tube for a solid bar of the same outer diameter will lead to a significantly overestimated weight.

Frequently Asked Questions (FAQ)

Q1: What is the density of common aluminum alloys?

A: Common aluminum alloys like 6061 and 7075 have a density of approximately 2.70-2.72 g/cm³. Alloys like 5052 are slightly less dense (~2.64 g/cm³), while others like 2024 might be slightly denser (~2.78 g/cm³). Always check the specific alloy datasheet.

Q2: Does the calculator account for different aluminum alloy grades?

A: Yes, the calculator allows you to select common alloy densities. If your specific alloy's density differs significantly, you can use the 'Custom' option to input the precise value.

Q3: Can I calculate the weight of a complex shape?

A: This calculator is designed for standard geometric shapes (bars, tubes, sheets). For complex, custom shapes, you would typically use CAD software to determine the volume and then apply the density.

Q4: What's the difference between weight and mass?

A: Technically, weight is the force of gravity on an object (mass × gravitational acceleration), while mass is the amount of matter. However, in common usage and for these calculators, 'weight' is used interchangeably with 'mass', typically expressed in units like kg or lb.

Q5: How accurate is this aluminum alloy weight calculator?

A: The accuracy depends entirely on the precision of your input dimensions and the correctness of the alloy density used. The formula itself is physically accurate.

Q6: Can I use this calculator for aluminum extrusions?

A: Yes, if the extrusion has a standard cross-section like a rectangular bar, round bar, or tube, you can use the corresponding shape option. For custom extrusion profiles, you'd need to calculate the cross-sectional area first.

Q7: What if my dimensions are in different units?

A: You must convert all your measurements to a single unit system (either all metric like cm, or all imperial like inches) before entering them into the calculator. The 'Units' dropdown then selects the output unit.

Q8: Does the calculator include the weight of any coatings or treatments?

A: No, the calculator determines the weight of the base aluminum alloy material only. Coatings like paint or anodizing add a small amount of weight that is not included.

Weight vs. Length for Different Tube Diameters (6061 Alloy)

Chart shows estimated weight for a 6061 aluminum tube (1cm wall thickness) at varying lengths and diameters.

Related Tools and Internal Resources

var currentShape = 'rectangular_bar'; var currentDensity = 2.70; var currentUnit = 'metric'; function updateInputFields() { var shape = document.getElementById('shape').value; currentShape = shape; // Reset all shape-specific inputs document.getElementById('length').style.display = 'block'; document.getElementById('length').previousElementSibling.innerText = 'Length:'; document.getElementById('width').style.display = 'none'; document.getElementById('height').style.display = 'none'; document.getElementById('diameter').style.display = 'none'; document.getElementById('wall_thickness').style.display = 'none'; document.getElementById('sheet_width').style.display = 'none'; document.getElementById('sheet_length').style.display = 'none'; document.getElementById('sheet_thickness').style.display = 'none'; // Show relevant inputs document.getElementById('length').value = "; document.getElementById('width').value = "; document.getElementById('height').value = "; document.getElementById('diameter').value = "; document.getElementById('wall_thickness').value = "; document.getElementById('sheet_width').value = "; document.getElementById('sheet_length').value = "; document.getElementById('sheet_thickness').value = "; clearErrorMessages(); if (shape === 'rectangular_bar') { document.getElementById('width').style.display = 'block'; document.getElementById('height').style.display = 'block'; document.getElementById('length').previousElementSibling.innerText = 'Length:'; } else if (shape === 'round_bar') { document.getElementById('diameter').style.display = 'block'; document.getElementById('length').previousElementSibling.innerText = 'Length:'; } else if (shape === 'tube') { document.getElementById('diameter').style.display = 'block'; // Outer diameter document.getElementById('wall_thickness').style.display = 'block'; document.getElementById('length').previousElementSibling.innerText = 'Length:'; } else if (shape === 'sheet') { document.getElementById('sheet_width').style.display = 'block'; document.getElementById('sheet_length').style.display = 'block'; document.getElementById('sheet_thickness').style.display = 'block'; document.getElementById('length').style.display = 'none'; // Hide generic length } calculateWeight(); // Recalculate after changing shape } function handleDensityChange() { var densitySelect = document.getElementById('alloy_density'); var customDensityInput = document.getElementById('custom_density'); var selectedValue = densitySelect.value; if (selectedValue === 'custom') { customDensityInput.style.display = 'block'; customDensityInput.value = "; // Clear custom input calculateWeight(); // Trigger calculation to show error if custom is empty } else { customDensityInput.style.display = 'none'; currentDensity = parseFloat(selectedValue); calculateWeight(); } } function validateInput(id, min = 0, max = Infinity) { var input = document.getElementById(id); var errorDiv = document.getElementById(id + 'Error'); var value = parseFloat(input.value); var unitLabel = document.getElementById('unit').value === 'metric' ? 'cm' : 'in'; errorDiv.innerText = "; // Clear previous error if (input.value === ") { // Allow empty for non-required fields until calculation is triggered return true; } if (isNaN(value)) { errorDiv.innerText = 'Please enter a valid number.'; return false; } if (value max) { errorDiv.innerText = 'Value cannot exceed ' + max + '.'; return false; } // Specific validation for tube wall thickness if (id === 'wall_thickness') { var diameterInput = document.getElementById('diameter'); var diameterValue = parseFloat(diameterInput.value); if (!isNaN(diameterValue) && value >= diameterValue / 2) { errorDiv.innerText = 'Wall thickness must be less than half the outer diameter.'; return false; } } // Specific validation for sheet thickness if (id === 'sheet_thickness') { var sheetWidth = parseFloat(document.getElementById('sheet_width').value); var sheetLength = parseFloat(document.getElementById('sheet_length').value); if ((!isNaN(sheetWidth) && value > sheetWidth) || (!isNaN(sheetLength) && value > sheetLength)) { // This check is a bit arbitrary, but prevents nonsensical thickness values relative to width/length // errorDiv.innerText = 'Thickness seems disproportionately large.'; // return false; } } return true; } function calculateWeight() { clearErrorMessages(); var isValid = true; // Validate inputs based on current shape var shape = currentShape; var inputsToValidate = ['length']; if (shape === 'rectangular_bar') { inputsToValidate.push('width', 'height'); } else if (shape === 'round_bar') { inputsToValidate.push('diameter'); } else if (shape === 'tube') { inputsToValidate.push('diameter', 'wall_thickness'); } else if (shape === 'sheet') { inputsToValidate.push('sheet_width', 'sheet_length', 'sheet_thickness'); } for (var i = 0; i < inputsToValidate.length; i++) { if (!validateInput(inputsToValidate[i])) { isValid = false; } } // Validate density var densitySelect = document.getElementById('alloy_density'); var customDensityInput = document.getElementById('custom_density'); var densityValue; if (densitySelect.value === 'custom') { if (!validateInput('custom_density', 0.1, 10)) { // Reasonable range for density isValid = false; densityValue = NaN; } else { densityValue = parseFloat(customDensityInput.value); } } else { densityValue = parseFloat(densitySelect.value); if (isNaN(densityValue)) { // Should not happen with predefined values isValid = false; } } if (!isValid) { resetResults(); return; } // Get values var length = parseFloat(document.getElementById('length').value) || 0; var width = parseFloat(document.getElementById('width').value) || 0; var height = parseFloat(document.getElementById('height').value) || 0; var diameter = parseFloat(document.getElementById('diameter').value) || 0; var wallThickness = parseFloat(document.getElementById('wall_thickness').value) || 0; var sheetWidth = parseFloat(document.getElementById('sheet_width').value) || 0; var sheetLength = parseFloat(document.getElementById('sheet_length').value) || 0; var sheetThickness = parseFloat(document.getElementById('sheet_thickness').value) || 0; var unit = document.getElementById('unit').value; var volume = 0; var densityUsed = densityValue; var material = "Unknown"; // Determine density and material name var densityMap = { '2.70': 'Common Alloys (e.g., 6061, 7075)', '2.64': 'Alloy 5052', '2.78': 'Alloy 2024' }; if (densityMap[densityUsed]) { material = densityMap[densityUsed]; } else if (densitySelect.value === 'custom') { material = "Custom Alloy"; } // Calculate Volume based on shape if (shape === 'rectangular_bar') { volume = length * width * height; } else if (shape === 'round_bar') { var radius = diameter / 2; volume = Math.PI * radius * radius * length; } else if (shape === 'tube') { var outerRadius = diameter / 2; var innerRadius = outerRadius – wallThickness; if (innerRadius < 0) innerRadius = 0; // Ensure non-negative radius volume = Math.PI * (outerRadius * outerRadius – innerRadius * innerRadius) * length; } else if (shape === 'sheet') { volume = sheetWidth * sheetLength * sheetThickness; } // Convert density if needed for imperial units if (unit === 'imperial') { // Convert g/cm³ to lb/in³ // 1 g/cm³ = 0.0361272 lb/in³ densityUsed = densityValue * 0.0361272; } // Calculate Weight var weight = volume * densityUsed; // Format results var volumeFormatted = formatNumber(volume, 2) + (unit === 'metric' ? ' cm³' : ' in³'); var densityFormatted = formatNumber(densityUsed, 3) + (unit === 'metric' ? ' g/cm³' : ' lb/in³'); var weightFormatted = formatNumber(weight, 2) + (unit === 'metric' ? ' kg' : ' lb'); // Display results document.getElementById('volumeResult').innerText = volumeFormatted; document.getElementById('densityUsedResult').innerText = densityFormatted; document.getElementById('materialResult').innerText = material; document.getElementById('weightResult').innerText = weightFormatted; // Update chart updateChart(unit, densityUsed); } function formatNumber(num, decimals) { if (isNaN(num)) return '–'; return num.toFixed(decimals); } function clearErrorMessages() { var errorDivs = document.querySelectorAll('.error-message'); for (var i = 0; i < errorDivs.length; i++) { errorDivs[i].innerText = ''; } } function resetResults() { document.getElementById('volumeResult').innerText = '–'; document.getElementById('densityUsedResult').innerText = '–'; document.getElementById('materialResult').innerText = '–'; document.getElementById('weightResult').innerText = '–'; } function resetCalculator() { document.getElementById('shape').value = 'rectangular_bar'; document.getElementById('alloy_density').value = '2.70'; document.getElementById('unit').value = 'metric'; document.getElementById('custom_density').style.display = 'none'; document.getElementById('custom_density').value = ''; updateInputFields(); // Resets shape-specific inputs and clears errors handleDensityChange(); // Resets custom density display if needed resetResults(); updateChart(); // Reset chart } function copyResults() { var mainResult = document.getElementById('weightResult').innerText; var volume = document.getElementById('volumeResult').innerText; var density = document.getElementById('densityUsedResult').innerText; var material = document.getElementById('materialResult').innerText; var shape = document.getElementById('shape').options[document.getElementById('shape').selectedIndex].text; var unit = document.getElementById('unit').value === 'metric' ? 'Metric (cm, g, kg)' : 'Imperial (in, oz, lb)'; if (mainResult === '–') { alert("No results to copy yet."); return; } var textToCopy = "— Aluminum Alloy Weight Calculation —\n\n"; textToCopy += "Shape: " + shape + "\n"; textToCopy += "Units: " + unit + "\n"; textToCopy += "————————————-\n\n"; textToCopy += "Calculated Volume: " + volume + "\n"; textToCopy += "Density Used: " + density + "\n"; textToCopy += "Material Type: " + material + "\n"; textToCopy += "————————————-\n\n"; textToCopy += "Estimated Weight: " + mainResult + "\n"; textToCopy += "\n(Calculated using: Weight = Volume × Density)"; navigator.clipboard.writeText(textToCopy).then(function() { alert('Results copied to clipboard!'); }).catch(function(err) { console.error('Failed to copy: ', err); alert('Failed to copy results. Please copy manually.'); }); } // Charting Logic var weightChart; var chartCanvas = document.getElementById('weightLengthChart'); function updateChart(unit = 'metric', density = 2.70) { if (!chartCanvas) return; // Chart canvas not found var ctx = chartCanvas.getContext('2d'); // Destroy previous chart instance if it exists if (window.weightChart) { window.weightChart.destroy(); } var lengths = [50, 100, 150, 200, 250]; // cm or in var diameters = [2, 4, 6, 8]; // cm or in var wallThickness = 0.5; // cm or in (fixed for this example chart) var dataSeries1 = []; // Diameter 2 var dataSeries2 = []; // Diameter 6 var densityGperCM3 = (unit === 'metric') ? density : density / 0.0361272; // Ensure density is in g/cm³ for calculation consistency for (var i = 0; i < lengths.length; i++) { var currentLength = lengths[i]; // Series 1: Diameter 2 var outerRadius1 = diameters[0] / 2; var innerRadius1 = outerRadius1 – wallThickness; if (innerRadius1 < 0) innerRadius1 = 0; var volume1 = Math.PI * (outerRadius1 * outerRadius1 – innerRadius1 * innerRadius1) * currentLength; var weight1 = volume1 * densityGperCM3; dataSeries1.push(unit === 'metric' ? weight1 : weight1 * 0.0361272); // Convert to kg or lb // Series 2: Diameter 6 var outerRadius2 = diameters[2] / 2; var innerRadius2 = outerRadius2 – wallThickness; if (innerRadius2 < 0) innerRadius2 = 0; var volume2 = Math.PI * (outerRadius2 * outerRadius2 – innerRadius2 * innerRadius2) * currentLength; var weight2 = volume2 * densityGperCM3; dataSeries2.push(unit === 'metric' ? weight2 : weight2 * 0.0361272); // Convert to kg or lb } var unitLabel = unit === 'metric' ? 'kg' : 'lb'; var lengthUnitLabel = unit === 'metric' ? 'cm' : 'in'; window.weightChart = new Chart(ctx, { type: 'line', data: { labels: lengths.map(function(l) { return l + ' ' + lengthUnitLabel; }), datasets: [{ label: 'Tube Diameter: ' + diameters[0] + ' ' + lengthUnitLabel, data: dataSeries1, borderColor: 'rgb(0, 74, 153)', backgroundColor: 'rgba(0, 74, 153, 0.1)', fill: true, tension: 0.1 }, { label: 'Tube Diameter: ' + diameters[2] + ' ' + lengthUnitLabel, data: dataSeries2, borderColor: 'rgb(40, 167, 69)', backgroundColor: 'rgba(40, 167, 69, 0.1)', fill: true, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: true, scales: { y: { beginAtZero: true, title: { display: true, text: 'Weight (' + unitLabel + ')' } }, x: { title: { display: true, text: 'Length (' + lengthUnitLabel + ')' } } }, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Weight vs. Length for Different Tube Diameters' } } } }); } // Initial setup document.addEventListener('DOMContentLoaded', function() { updateInputFields(); // Set initial visibility of inputs handleDensityChange(); // Handle custom density input visibility calculateWeight(); // Perform initial calculation updateChart(); // Draw initial chart document.getElementById('alloy_density').addEventListener('change', handleDensityChange); });

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