3d Model Weight Calculator for Jewelry

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3D Model Weight Calculator for Jewelry

Estimate the material weight of your 3D jewelry designs accurately. Essential for cost estimation, material sourcing, and production planning.

Jewelry Weight Calculator

Enter the calculated volume of your 3D model in cubic centimeters.
Density varies by metal (e.g., Gold: 19.3, Platinum: 21.45, Silver: 10.5, Brass: 8.4-8.7).
Grams (g) Kilograms (kg) Ounces (oz) Troy Ounces (ozt)
Select your preferred unit for the final weight calculation.

Calculation Results

Estimated Weight:
Material Density:
Model Volume:
Conversion Factor:
Formula Used: Weight = Volume × Density. The result is then converted to your selected unit.
Results copied to clipboard!

Weight Calculation Breakdown

Material Densities for Jewelry

Common Metal Densities
Material Density (g/cm³) Typical Use
Platinum 21.45 High-end jewelry, durability
Gold (24K) 19.32 Pure gold items, investment
Gold (18K) 15.2 – 15.9 Commonly used, balance of value and hardness
Gold (14K) 12.9 – 14.6 Durable, more affordable gold
Silver (Sterling 925) 10.3 – 10.5 Popular, affordable precious metal
Palladium 12.0 Lighter alternative to platinum
Brass 8.4 – 8.7 Costume jewelry, prototyping
Aluminum 2.7 Lightweight, industrial applications

What is a 3D Model Weight Calculator for Jewelry?

A 3D model weight calculator for jewelry is a specialized online tool designed to estimate the precise weight of a piece of jewelry based on its digital 3D model. Jewelers, designers, and manufacturers use this calculator to determine the amount of precious metal or other material required for a specific design. By inputting the volume of the 3D model and the density of the chosen material, the calculator provides an accurate weight, which is crucial for cost estimation, material procurement, and optimizing production processes. This tool bridges the gap between digital design and physical reality, ensuring that material costs are accurately factored into the final product price. It's an indispensable asset for anyone involved in the modern jewelry creation pipeline, from independent designers to large-scale manufacturers.

Who should use it:

  • Jewelry Designers: To get an immediate estimate of material costs for new designs and to ensure designs are feasible within budget constraints.
  • CAD Technicians: To verify the material usage of their 3D models before sending them for casting or printing.
  • Jewelry Manufacturers: For accurate quoting, inventory management of precious metals, and production planning.
  • E-commerce Businesses: To price jewelry accurately based on material weight and market value.
  • Hobbyists and Students: To understand the material implications of their 3D jewelry projects.

Common misconceptions:

  • "It's just a simple multiplication." While the core formula is simple (Volume x Density), accurately obtaining the model's volume from CAD software can be complex, and material densities can vary slightly based on alloys.
  • "The calculator gives the exact final weight." The calculator provides a highly accurate estimate. Actual casting or manufacturing processes might involve minor material loss or variations due to finishing, polishing, or slight imperfections in the casting process.
  • "All metals have the same density." This is incorrect. Different precious metals (gold, silver, platinum) and alloys have significantly different densities, directly impacting the final weight and cost.

3D Model Weight Calculator for Jewelry: Formula and Mathematical Explanation

The calculation of jewelry weight from a 3D model is based on fundamental principles of physics, specifically the relationship between volume, density, and mass (which we often refer to as weight in practical terms). The core formula is straightforward:

Weight = Volume × Density

Let's break down each component:

  • Volume (V): This is the amount of three-dimensional space your 3D jewelry model occupies. In CAD software, this is typically calculated by the software itself based on the geometry of the model. It's essential that the model is watertight (closed) and has correct units defined (e.g., millimeters, which are then converted to centimeters for standard density calculations). The unit for volume in this calculator is cubic centimeters (cm³).
  • Density (ρ): This is a physical property of the material used to create the jewelry. It represents the mass of the material per unit volume. Different metals and alloys have different densities. For example, platinum is much denser than silver, meaning a piece of the same size will weigh significantly more if made from platinum. The unit for density in this calculator is grams per cubic centimeter (g/cm³).

Derivation Steps:

  1. Obtain Model Volume: Use your 3D modeling software (e.g., Rhino, ZBrush, Blender, MatrixGold) to calculate the volume of your jewelry design. Ensure the units are consistent (often exported in mm³, which needs conversion to cm³).
  2. Determine Material Density: Identify the specific metal alloy you intend to use (e.g., Sterling Silver 925, 14K Yellow Gold). Look up its standard density value in g/cm³.
  3. Calculate Mass in Grams: Multiply the model's volume (in cm³) by the material's density (in g/cm³). The cm³ units cancel out, leaving the mass in grams.
    Mass (g) = Volume (cm³) × Density (g/cm³)
  4. Convert to Desired Units: The calculated weight in grams can then be converted to other common jewelry units like kilograms (kg), ounces (oz), or troy ounces (ozt) using standard conversion factors.

Variables Table:

Variables Used in Weight Calculation
Variable Meaning Unit Typical Range / Notes
Volume (V) The three-dimensional space occupied by the 3D model. cm³ Varies greatly based on design complexity and size. Must be accurately calculated from CAD.
Density (ρ) Mass per unit volume of the material. g/cm³ Platinum: ~21.45, Gold (24K): ~19.32, Silver (925): ~10.3-10.5, Brass: ~8.5
Weight (W) The estimated mass of the final jewelry piece. g, kg, oz, ozt Result of V × ρ, converted to the selected unit.
Conversion Factor Multiplier to convert grams to other units. Unitless kg: 0.001, oz: ~0.035274, ozt: ~0.0321507

Practical Examples (Real-World Use Cases)

Understanding the 3D model weight calculator for jewelry is best done through practical examples. These scenarios illustrate how the tool aids in crucial decision-making for jewelry professionals.

Example 1: Estimating Weight for a Sterling Silver Pendant

A jewelry designer has created a 3D model for a pendant. Using their CAD software, they determine the model's volume to be 3.5 cm³. They plan to produce this pendant using Sterling Silver (925), which has a density of approximately 10.4 g/cm³. They need to know the estimated weight in grams and troy ounces for pricing.

  • Inputs:
    • Model Volume: 3.5 cm³
    • Material Density: 10.4 g/cm³
    • Output Unit: Grams (g) and Troy Ounces (ozt)
  • Calculation (Grams):
    Weight = 3.5 cm³ × 10.4 g/cm³ = 36.4 grams
  • Calculation (Troy Ounces):
    Weight (ozt) = 36.4 g × 0.0321507 ozt/g ≈ 1.165 ozt
  • Interpretation: The designer now knows that each pendant will require approximately 36.4 grams of Sterling Silver. This information is vital for calculating the cost of raw materials, determining a suitable retail price, and ensuring they have enough silver stock. They can also use this to compare the material cost against other metals like gold.

Example 2: Calculating Gold Weight for an Engagement Ring

A jewelry manufacturer is preparing a quote for a custom engagement ring. The 3D model for the ring has a calculated volume of 2.8 cm³. The client has chosen 14K yellow gold, which has an average density of 13.5 g/cm³. The manufacturer needs the weight in grams and kilograms for inventory and casting batching.

  • Inputs:
    • Model Volume: 2.8 cm³
    • Material Density: 13.5 g/cm³
    • Output Unit: Grams (g) and Kilograms (kg)
  • Calculation (Grams):
    Weight = 2.8 cm³ × 13.5 g/cm³ = 37.8 grams
  • Calculation (Kilograms):
    Weight (kg) = 37.8 g × 0.001 kg/g = 0.0378 kg
  • Interpretation: The manufacturer can confidently quote the job, knowing that approximately 37.8 grams of 14K gold are needed per ring. This precise figure helps in accurate material purchasing, minimizing waste, and providing a competitive and profitable quote to the client. It also helps in planning casting schedules, as they can group multiple rings to optimize furnace usage.

How to Use This 3D Model Weight Calculator for Jewelry

Using our 3D model weight calculator is simple and designed to provide quick, accurate results. Follow these steps to get your material weight estimates:

  1. Step 1: Calculate Model Volume: Open your 3D jewelry design file in your preferred CAD or modeling software (e.g., Rhino, MatrixGold, ZBrush, Blender). Use the software's built-in tools to calculate the volume of your model. Ensure the model is a closed, watertight mesh. Note the volume and make sure you know the units (typically cubic millimeters, mm³).
  2. Step 2: Convert Volume to cm³: If your software provides volume in mm³, convert it to cubic centimeters (cm³). Remember: 1 cm³ = 1000 mm³. So, divide your mm³ value by 1000. For example, 5200 mm³ is equal to 5.2 cm³.
  3. Step 3: Enter Volume: Input the calculated volume in cubic centimeters (cm³) into the "Model Volume (cm³)" field of the calculator.
  4. Step 4: Select Material Density: Choose the appropriate material for your jewelry from the "Material Density (g/cm³)" dropdown or manually enter the density if you know it precisely. Common values for gold, silver, and platinum are provided as examples.
  5. Step 5: Choose Output Unit: Select your preferred unit for the final weight calculation (Grams, Kilograms, Ounces, or Troy Ounces) from the "Output Unit" dropdown.
  6. Step 6: Calculate: Click the "Calculate Weight" button.

How to Read Results:

  • Estimated Weight: This is the primary result, showing the calculated weight of your jewelry piece in your chosen unit.
  • Material Density: Confirms the density value used in the calculation.
  • Model Volume: Confirms the volume input used.
  • Conversion Factor: Shows the factor used to convert grams to your selected output unit (if not grams).

Decision-Making Guidance:

  • Use the "Estimated Weight" to calculate material costs. Multiply the weight by the current market price per unit of your chosen metal.
  • Compare weights across different material options to understand cost differences.
  • Use the "Copy Results" button to easily paste the key figures into spreadsheets, quotes, or reports.
  • The "Reset" button allows you to quickly start a new calculation with different parameters.

Key Factors That Affect 3D Model Weight Results

While the core formula (Weight = Volume × Density) is simple, several factors can influence the accuracy and interpretation of the results from a 3D model weight calculator for jewelry:

  1. Accuracy of CAD Volume Calculation: The most critical factor. If the 3D model is not watertight, has internal faces, or is not properly scaled, the volume calculation from the software will be incorrect, leading to inaccurate weight estimates. Ensure your model is clean and ready for manufacturing.
  2. Material Density Variations: The density values used are averages. Alloys (mixtures of metals) can have slightly varying densities depending on the exact composition. For instance, 14K gold can range slightly in density based on the specific mix of alloys used to achieve its color and hardness. Always use the most accurate density for your specific alloy if known.
  3. Hollow vs. Solid Designs: The calculator assumes the volume entered represents the solid material. If your 3D model is designed to be hollow (e.g., to reduce weight and cost), you must calculate the volume of the material itself, not the overall bounding box or external volume. This requires careful modeling or specialized software features.
  4. Finishing and Polishing Processes: Casting and manufacturing processes often involve steps like sprue removal, sanding, polishing, and plating. These processes can remove a small amount of material, slightly reducing the final weight. The calculator provides the weight of the raw material needed before these finishing steps.
  5. Inclusions and Gemstones: The calculator estimates the weight of the metal only. If the jewelry piece includes gemstones or other non-metal inclusions, their weight must be calculated separately and added to the metal weight for a total piece weight.
  6. Unit Conversion Precision: While standard conversion factors are used, slight variations can exist depending on the source. For critical financial calculations, always double-check the conversion rates used, especially between grams, ounces, and troy ounces, which are common in the precious metals industry.
  7. Software and Export Settings: The way a 3D model is exported from CAD software can sometimes affect volume calculations. Ensure you are exporting in a format that preserves geometric integrity and that your software's volume measurement tool is reliable.

Frequently Asked Questions (FAQ)

What is the difference between grams (g), ounces (oz), and troy ounces (ozt)?
Grams (g) are a standard metric unit of mass. Ounces (oz) are typically used in the US customary system (approx. 28.35g). Troy ounces (ozt) are specifically used for precious metals like gold, silver, and platinum, where 1 troy ounce is approximately 31.1 grams. This distinction is crucial for accurate pricing in the jewelry industry.
How do I get the volume of my 3D model?
Most 3D modeling software (CAD, sculpting programs) has a built-in function to calculate the volume of a solid object. You typically need to select the object or its mesh, and the software will display its volume. Ensure the model is watertight (no holes) for an accurate measurement.
Can this calculator estimate the weight of jewelry with gemstones?
No, this calculator estimates the weight of the metal component only. You would need to calculate the weight of the gemstones separately using their dimensions and density, and then add it to the metal weight for the total piece weight.
What if my material density is not listed?
You can manually enter the density value in g/cm³ into the input field if it's not in the dropdown. You can usually find density information from material suppliers, technical data sheets, or reliable online resources for specific metal alloys.
Does the calculator account for casting sprues or support material?
No, the calculator estimates the weight of the final, finished jewelry piece based on its intended volume. It does not include the weight of wax, resin, or metal used for sprues, supports, or any material lost during the casting or printing process.
How accurate are the results?
The accuracy depends heavily on the accuracy of your input volume and density. If your CAD volume is precise and you use the correct density for your alloy, the results will be very accurate, typically within a small percentage of the final cast weight, before finishing.
Can I use this for 3D printed jewelry?
Yes, provided you know the volume of the model and the density of the printing material (e.g., resin, specific metal powders for SLM/DMLS). The principle remains the same: Weight = Volume × Density.
Why is knowing the exact weight important for jewelry?
Knowing the exact weight is critical for accurate cost calculation (especially with volatile precious metal prices), precise quoting to customers, inventory management of valuable materials, determining appropriate insurance values, and ensuring profitability in jewelry production.

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var modelVolumeInput = document.getElementById('modelVolume'); var materialDensityInput = document.getElementById('materialDensity'); var unitSelect = document.getElementById('unit'); var modelVolumeError = document.getElementById('modelVolumeError'); var finalWeightDisplay = document.getElementById('finalWeight'); var displayDensityDisplay = document.getElementById('displayDensity'); var displayVolumeDisplay = document.getElementById('displayVolume'); var displayConversionDisplay = document.getElementById('displayConversion'); var copyStatus = document.getElementById('results-copy-status'); var weightChart; var chartContext = document.getElementById('weightChart').getContext('2d'); var densityMap = { "platinum": 21.45, "gold24k": 19.32, "gold18k": 15.5, // Average "gold14k": 13.5, // Average "silver925": 10.4, // Average for Sterling "palladium": 12.0, "brass": 8.5, // Average "aluminum": 2.7 }; function validateInput(value, id, errorElement, min = null, max = null) { var errorDiv = document.getElementById(errorElement); if (value === "") { errorDiv.textContent = "This field is required."; return false; } var numValue = parseFloat(value); if (isNaN(numValue)) { errorDiv.textContent = "Please enter a valid number."; return false; } if (min !== null && numValue max) { errorDiv.textContent = "Value cannot be greater than " + max + "."; return false; } errorDiv.textContent = ""; return true; } function getDensityValue(input) { var lowerInput = input.toLowerCase().replace(/\s+/g, "); if (densityMap[lowerInput]) { return densityMap[lowerInput]; } // Try to parse if user entered a number directly var numVal = parseFloat(input); if (!isNaN(numVal) && numVal > 0) { return numVal; } return null; } function calculateWeight() { var volume = parseFloat(modelVolumeInput.value); var densityInput = materialDensityInput.value; var unit = unitSelect.value; var isValidVolume = validateInput(modelVolumeInput.value, 'modelVolume', 'modelVolumeError', 0); var isValidDensity = validateInput(materialDensityInput.value, 'materialDensity', 'materialDensityError', 0); if (!isValidVolume || !isValidDensity) { clearResults(); return; } var density = parseFloat(densityInput); // Check if density input was a known material name and update if necessary var matchedDensity = getDensityValue(densityInput); if (matchedDensity !== null) { density = matchedDensity; materialDensityInput.value = density; // Update input field to the numeric value } else { // If it wasn't a known material, ensure it's a valid number if (isNaN(density) || density <= 0) { document.getElementById('materialDensityError').textContent = "Please enter a valid density or select a material."; clearResults(); return; } } var weightInGrams = volume * density; var conversionFactor = 1; var unitLabel = "g"; if (unit === "kilograms") { conversionFactor = 0.001; unitLabel = "kg"; } else if (unit === "ounces") { conversionFactor = 0.035274; // 1 g = 0.035274 oz unitLabel = "oz"; } else if (unit === "troy_ounces") { conversionFactor = 0.0321507; // 1 g = 0.0321507 ozt unitLabel = "ozt"; } var finalWeight = weightInGrams * conversionFactor; finalWeightDisplay.textContent = finalWeight.toFixed(3) + " " + unitLabel; displayDensityDisplay.textContent = density.toFixed(2) + " g/cm³"; displayVolumeDisplay.textContent = volume.toFixed(2) + " cm³"; displayConversionDisplay.textContent = conversionFactor.toFixed(6); updateChart(volume, density, finalWeight, unitLabel); } function clearResults() { finalWeightDisplay.textContent = "–"; displayDensityDisplay.textContent = "–"; displayVolumeDisplay.textContent = "–"; displayConversionDisplay.textContent = "–"; if (weightChart) { weightChart.destroy(); } document.getElementById('chart-legend').innerHTML = ''; } function resetCalculator() { modelVolumeInput.value = "5.2"; materialDensityInput.value = "10.4"; // Default to Sterling Silver unitSelect.value = "grams"; modelVolumeError.textContent = ""; document.getElementById('materialDensityError').textContent = ""; copyStatus.style.display = 'none'; calculateWeight(); } function copyResults() { var volumeVal = displayVolumeDisplay.textContent; var densityVal = displayDensityDisplay.textContent; var weightVal = finalWeightDisplay.textContent; var conversionVal = displayConversionDisplay.textContent; if (weightVal === "–") { alert("No results to copy yet. Please calculate first."); return; } var textToCopy = "— Jewelry Weight Calculation —\n\n"; textToCopy += "Model Volume: " + volumeVal + "\n"; textToCopy += "Material Density: " + densityVal + "\n"; textToCopy += "Conversion Factor: " + conversionVal + "\n"; textToCopy += "———————————-\n"; textToCopy += "Estimated Weight: " + weightVal + "\n"; textToCopy += "———————————-\n\n"; textToCopy += "Calculated using: Weight = Volume × Density"; navigator.clipboard.writeText(textToCopy).then(function() { copyStatus.style.display = 'block'; setTimeout(function() { copyStatus.style.display = 'none'; }, 3000); }).catch(function(err) { console.error('Failed to copy text: ', err); alert('Failed to copy results. Please copy manually.'); }); } function updateChart(volume, density, finalWeight, unitLabel) { if (weightChart) { weightChart.destroy(); } var baseWeightGrams = volume * density; var weightInSelectedUnit = baseWeightGrams * (unitLabel === 'g' ? 1 : (unitLabel === 'kg' ? 0.001 : (unitLabel === 'oz' ? 0.035274 : 0.0321507))); var chartData = { labels: ['Volume', 'Density', 'Weight'], datasets: [{ label: 'Value (Base Units)', data: [volume, density, baseWeightGrams], backgroundColor: [ 'rgba(0, 74, 153, 0.6)', // Blue for Volume 'rgba(40, 167, 69, 0.6)', // Green for Density 'rgba(255, 193, 7, 0.6)' // Yellow for Weight (Grams) ], borderColor: [ 'rgba(0, 74, 153, 1)', 'rgba(40, 167, 69, 1)', 'rgba(255, 193, 7, 1)' ], borderWidth: 1 }] }; // Add a second dataset for the final weight in the selected unit if different from grams if (unitLabel !== 'g') { chartData.datasets.push({ label: 'Weight (' + unitLabel + ')', data: [null, null, weightInSelectedUnit], // Align with Weight index backgroundColor: 'rgba(255, 193, 7, 0.8)', // Brighter yellow for final weight borderColor: 'rgba(255, 193, 7, 1)', borderWidth: 1 }); } var chartOptions = { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: true, title: { display: true, text: 'Value' } } }, plugins: { legend: { display: false // Use custom legend below }, title: { display: true, text: 'Jewelry Weight Calculation Components' } } }; weightChart = new Chart(chartContext, { type: 'bar', data: chartData, options: chartOptions }); // Update custom legend var legendHtml = 'Key: '; legendHtml += ' Volume (cm³), '; legendHtml += ' Density (g/cm³), '; legendHtml += ' Weight (g)'; if (unitLabel !== 'g') { legendHtml += ' / Weight (' + unitLabel + ')'; } document.getElementById('chart-legend').innerHTML = legendHtml; } // Initial calculation on load document.addEventListener('DOMContentLoaded', function() { // Add event listeners for real-time updates modelVolumeInput.addEventListener('input', calculateWeight); materialDensityInput.addEventListener('input', calculateWeight); unitSelect.addEventListener('change', calculateWeight); // Populate density map for dropdown/input suggestions if needed (not implemented here, but could be) // For now, we rely on user input or predefined values resetCalculator(); // Set default values and perform initial calculation // FAQ toggles var faqItems = document.querySelectorAll('.faq-item .question'); faqItems.forEach(function(item) { item.addEventListener('click', function() { var faqContent = this.nextElementSibling; var faqItem = this.parentElement; faqItem.classList.toggle('open'); if (faqContent.style.display === "block") { faqContent.style.display = "none"; } else { faqContent.style.display = "block"; } }); }); }); // Chart.js library is required for the chart to work. // In a real WordPress environment, you'd enqueue this script properly. // For this standalone HTML, we assume Chart.js is available globally or included. // If not, you would need to add: // // before this script block. // For this output, we'll assume it's present. // If Chart.js is not available, the chart will not render. // Add a placeholder check: if (typeof Chart === 'undefined') { console.warn("Chart.js library not found. The chart will not render."); // Optionally, you could hide the canvas or display a message document.getElementById('weightChart').style.display = 'none'; document.getElementById('chart-legend').innerHTML = 'Chart rendering requires the Chart.js library.'; }

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