Nut and Bolt Weight Calculator

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Nut and Bolt Weight Calculator

Instantly calculate the approximate weight of nuts and bolts for your engineering and construction needs. Get precise mass estimations with our easy-to-use tool.

Calculate Fastener Weight

Bolt Nut Select whether you are calculating for a bolt or a nut.
mm
Please enter a valid diameter.
mm
Please enter a valid length.
Steel (approx. 7.85 g/cm³) Aluminum (approx. 2.70 g/cm³) Copper (approx. 8.96 g/cm³) Zinc (approx. 7.14 g/cm³) Plastic (e.g., Nylon, approx. 0.92 g/cm³) Select the material of the fastener. Density is in g/cm³.
Number of fasteners.
Please enter a valid quantity.
Distance between threads (e.g., M10x1.5). Smaller for fine threads.
Please enter a valid thread pitch.

Calculation Results

— kg
Bolt Length Used: — mm
Bolt Volume: — cm³
Total Mass: — kg
Formula Used:

Weight is calculated based on the volume of the fastener and its material density. For bolts, volume considers the threaded and unthreaded portions. For nuts, volume is approximated as a cylinder with a hexagonal prism removed. Units are converted to kilograms.

Key Variables: Diameter (D), Length (L), Thread Pitch (P), Density (ρ), Quantity (N).

Weight vs. Diameter (Fixed Length & Material)

Approximate weight comparison for different fastener diameters.
Metric Thread Size (M) Nominal Diameter (mm) Standard Pitch (mm) Approx. Bolt Length (mm) Approx. Nut Width Across Flats (mm)
M3 3 0.5 6 – 20 5.5
M4 4 0.7 8 – 25 7.0
M5 5 0.8 10 – 30 8.0
M6 6 1.0 12 – 40 10.0
M8 8 1.25 20 – 50 13.0
M10 10 1.5 25 – 60 16.0
M12 12 1.75 30 – 70 18.0
M16 16 2.0 40 – 100 24.0
Common metric fastener specifications for reference.

What is a Nut and Bolt Weight Calculator?

A nut and bolt weight calculator is an indispensable online tool designed to estimate the mass (weight) of fasteners, specifically nuts and bolts. In fields like engineering, manufacturing, construction, and even large-scale DIY projects, accurately knowing the weight of components is crucial for various reasons. This calculator simplifies that process, allowing users to input specific dimensions, material types, and quantities to obtain a precise weight calculation. It helps in material procurement, shipping cost estimation, structural load calculations, and inventory management, making it a vital resource for professionals and hobbyists alike who deal with significant numbers of fasteners.

Who Should Use a Nut and Bolt Weight Calculator?

The utility of a nut and bolt weight calculator spans across numerous professions and applications:

  • Engineers (Mechanical, Civil, Structural): For calculating the total mass of bolted assemblies, assessing load-bearing capacities, and ensuring material specifications are met.
  • Manufacturers: For managing inventory, estimating raw material needs, and calculating shipping weights for product batches.
  • Construction Companies: For estimating bulk material requirements, planning logistics for large projects, and managing project budgets.
  • Procurement Specialists: For obtaining accurate quotes from suppliers and understanding the cost implications of fastener weight for bulk purchases.
  • Logistics and Shipping Managers: For calculating freight costs, customs duties, and ensuring compliance with weight regulations.
  • DIY Enthusiasts and Hobbyists: For larger projects where purchasing fasteners in bulk might be necessary, helping to avoid over- or under-ordering and manage project scope.
  • Welders and Fabricators: When specifying or using bolts as part of larger structures.

Common Misconceptions about Fastener Weight

Several misconceptions can lead to inaccurate estimations or planning:

  • "All bolts of the same size weigh the same." This is false. Weight depends heavily on the material (steel vs. aluminum vs. plastic), the specific head type (hex, carriage, cap), and length. Even minor variations in manufacturing can cause slight differences.
  • "Weight is negligible for small quantities." For large construction or manufacturing projects, the cumulative weight of thousands or millions of small fasteners can become substantial, significantly impacting overall project weight, shipping costs, and structural considerations.
  • "Density is constant for 'steel' or 'aluminum'." While general densities are used, specific alloys within steel or aluminum can have slightly different densities, leading to minor variations in weight. Our calculator uses common average densities.
  • "Nuts weigh less than bolts of the same nominal size." Typically, a nut of the same nominal size (e.g., M10 nut vs. M10 bolt) will weigh less than a bolt because it has less material volume.

Nut and Bolt Weight Calculator: Formula and Mathematical Explanation

The core principle behind the nut and bolt weight calculator is the conversion of volume into mass using material density. The complexity lies in accurately calculating the volume for different fastener geometries.

Bolt Weight Calculation

For a bolt, the volume calculation typically involves approximating the bolt as a cylinder with a threaded portion and a head. A simplified approach often calculates the volume of the entire shank (threaded and unthreaded) as a cylinder and then adjusts for the thread's geometry. A more refined method considers the unthreaded shank and the threaded portion separately.

Volume of unthreaded shank (if any):

V_shank = π * (D/2)² * L_unthreaded

Volume of threaded portion (approximated):

V_thread ≈ π * (D/2)² * L_threaded – (N_threads * Area_per_thread)

A common simplification uses an effective diameter or a standard formula:

V_bolt ≈ π * (D/2)² * L

A more accurate method for the threaded portion, considering thread geometry (major diameter D, pitch P):

V_thread = (π * L_threaded / 4) * (D² – (D – 1.299*P)²)

Total Bolt Volume (V_bolt) is the sum of the shank (if unthreaded) and the threaded portion, often approximated using effective dimensions.

The calculator uses a practical approximation where the volume is related to diameter and length, adjusted slightly for thread engagement.

Nut Weight Calculation

A standard hex nut is essentially a cylinder with a hexagonal prism removed. Its volume can be approximated as:

V_nut = (Volume of Hexagon) – (Volume of Cylindrical Hole)

Volume of Hexagon (with width across flats 'W'): A_hex = (3 * sqrt(3) / 2) * W² (This formula is complex; simpler approximations are common)

A more practical approximation considers the nut as a cylinder with a slightly smaller inner diameter (corresponding to the thread's minor diameter) and a height related to the nominal diameter (often H ≈ D for standard nuts).

V_nut ≈ (π * (D_outer/2)² – π * (D_inner/2)²) * H

The calculator uses a simplified model approximating the nut's volume based on its nominal diameter and a standard height-to-diameter ratio, and a characteristic width across flats.

Mass Calculation

Once the volume (V) in cm³ is estimated, the mass (M) in grams is calculated:

M (grams) = V (cm³) * ρ (g/cm³)

To get the weight in kilograms (kg), we divide by 1000:

Weight (kg) = M (grams) / 1000

Finally, for multiple fasteners (N):

Total Weight (kg) = Weight (kg) * N

Variables Table

Variable Meaning Unit Typical Range / Values
D Nominal Diameter mm 0.1 – 100+
L Length (Bolt) mm 0 – 1000+ (0 for nuts)
P Thread Pitch mm 0.1 – 6.0+ (depends on D)
ρ Material Density g/cm³ 0.92 (Plastic) – 19.3 (Gold)
N Quantity Count 1 – 1,000,000+
Wflats Width Across Flats (Nut) mm Derived from D (e.g., 1.5 * D)
Key variables used in the nut and bolt weight calculation.

Practical Examples (Real-World Use Cases)

Let's explore how the nut and bolt weight calculator can be used in practical scenarios:

Example 1: Steel Bolts for a Bridge Section

An engineering team is assembling a pedestrian bridge and needs to estimate the weight of the M16 steel bolts used. They have 200 bolts, each with a nominal diameter of 16 mm, a length of 80 mm, and a standard pitch of 2.0 mm. The bolts are made of standard steel (density ~7.85 g/cm³).

  • Inputs:
    • Fastener Type: Bolt
    • Nominal Diameter: 16 mm
    • Length: 80 mm
    • Material Density: 7.85 g/cm³ (Steel)
    • Quantity: 200
    • Thread Pitch: 2.0 mm
  • Calculator Output:
    • Main Result (Total Weight): Approximately 24.5 kg
    • Intermediate Value (Bolt Volume): ~31.15 cm³
    • Intermediate Value (Weight per Bolt): ~0.1225 kg
    • Intermediate Value (Total Mass): ~24.5 kg

Interpretation: The 200 M16x80 steel bolts weigh approximately 24.5 kg in total. This information is vital for the structural engineer to include in the bridge's overall weight calculations and for the procurement team to order the correct quantity, factoring in potential shipping weight.

Example 2: Aluminum Nuts for an Aerospace Component

A manufacturing firm is building a prototype using lightweight aluminum nuts. They need 500 M8 nuts made of aluminum (density ~2.70 g/cm³).

  • Inputs:
    • Fastener Type: Nut
    • Nominal Diameter: 8 mm
    • Length: N/A (Set to 0 or not applicable for nuts)
    • Material Density: 2.70 g/cm³ (Aluminum)
    • Quantity: 500
    • Thread Pitch: 1.25 mm (Standard for M8)
  • Calculator Output:
    • Main Result (Total Weight): Approximately 2.6 kg
    • Intermediate Value (Nut Volume): ~1.0 cm³ (approximation per nut)
    • Intermediate Value (Weight per Nut): ~0.0052 kg
    • Intermediate Value (Total Mass): ~2.6 kg

Interpretation: The 500 M8 aluminum nuts contribute about 2.6 kg to the prototype's weight. This is essential for aerospace applications where minimizing weight is paramount. The procurement team can use this to order precisely and factor shipping costs.

How to Use This Nut and Bolt Weight Calculator

Using our nut and bolt weight calculator is straightforward. Follow these steps for accurate results:

  1. Select Fastener Type: Choose "Bolt" or "Nut" from the dropdown menu. This adjusts the calculation parameters.
  2. Enter Nominal Diameter (D): Input the primary size measurement of the fastener in millimeters (mm). This is usually marked on the fastener or packaging (e.g., '10' for an M10 bolt).
  3. Enter Length (L) (for Bolts): If you selected "Bolt," enter its total length in millimeters (mm). This value is not needed for nuts.
  4. Select Material Density (ρ): Choose the material of your fastener from the dropdown. Common options like steel, aluminum, and copper are provided with their approximate densities in g/cm³. If your material isn't listed, you can input its specific density.
  5. Enter Quantity (N): Specify the total number of identical fasteners you need to calculate the weight for.
  6. Enter Thread Pitch (P) (for Bolts): For bolts, input the thread pitch in millimeters (mm). This is the distance between adjacent threads. Standard pitches are common, but fine threads have smaller pitches.
  7. View Results: The calculator will automatically update and display:
    • Main Result: The total estimated weight of all fasteners in kilograms (kg).
    • Intermediate Values: Details like the calculated volume (cm³) and the weight per fastener (kg).
    • Formula Used: A brief explanation of the calculation logic.
  8. Use the Buttons:
    • Copy Results: Click this button to copy all calculated values and key assumptions to your clipboard for easy pasting into documents or spreadsheets.
    • Reset: Click this button to revert all input fields back to their sensible default values.

Reading and Interpreting Results: The primary result shows the total weight in kilograms. This is essential for logistics, structural analysis, and cost estimations. Intermediate values provide insight into the weight contribution of each individual fastener.

Decision-Making Guidance: Use the results to confirm material orders, calculate shipping costs accurately, ensure structural integrity by accounting for fastener weight, and optimize inventory levels.

Key Factors That Affect Nut and Bolt Weight Results

Several factors influence the accuracy of the weight calculation provided by the nut and bolt weight calculator:

  1. Material Density: This is the most significant factor after geometry. Different metals and plastics have vastly different densities. Steel is much denser (heavier) than aluminum or plastic. Using the correct density for your specific fastener material is critical. Alloy variations can cause slight differences.
  2. Nominal Diameter and Length: Larger diameters and longer lengths directly increase the volume and thus the weight. These are primary geometric inputs. The precision of these measurements is key.
  3. Fastener Type (Bolt vs. Nut): Bolts generally have more material (shank, head) than nuts of the same nominal size, making them heavier. The calculator accounts for this difference in geometric modeling.
  4. Thread Geometry: While often approximated, the actual thread profile (e.g., V-thread, acme thread) and pitch affect the precise volume. Finer threads often displace slightly less material than coarse threads of the same diameter. The calculator uses standard approximations.
  5. Head Type: Different bolt head styles (hex, socket cap, carriage, pan) have varying volumes and geometries, impacting overall weight. Standard hex head bolts are commonly assumed.
  6. Manufacturing Tolerances: Real-world manufacturing involves slight variations in dimensions and material consistency. Our calculator uses nominal dimensions and average densities for estimations. Significant deviations from standard manufacturing practices could lead to weight discrepancies.
  7. Coatings and Platings: While usually minor, heavy coatings like galvanization can add a small amount of weight. This calculator typically focuses on the base material's weight.
  8. Hole or Chamfer Details: Some nuts or bolt heads might have specific chamfers or counterbores that slightly reduce their volume. These are usually very small and ignored in standard calculations.

Frequently Asked Questions (FAQ)

Q: Is this calculator accurate for all types of nuts and bolts?
This calculator provides an excellent estimation based on standard geometries and material densities. However, highly specialized fasteners or those with significant deviations from standard dimensions or materials may have slightly different weights. It's best for common metric and imperial fasteners.
Q: What density should I use for stainless steel?
Stainless steel typically has a density around 7.75 to 8.0 g/cm³. Our calculator's default "Steel" option (7.85 g/cm³) is a good approximation for many common stainless steel grades. For extreme precision, consult the specific grade's datasheet.
Q: Does the calculator account for thread stripping or damage?
No, the calculator estimates the weight of undamaged, standard fasteners. It does not account for material loss due to damage or wear.
Q: Can I use this for imperial (inch) size fasteners?
The calculator primarily works with metric units (mm, cm³). For imperial sizes, you would need to convert the inch measurements to millimeters first (1 inch = 25.4 mm) before inputting them.
Q: Why is the length input optional for nuts?
Nuts are typically characterized by their diameter and width across flats, not a "length" in the same sense as a bolt. Their height is usually proportional to their diameter. Setting length to 0 or ignoring it is appropriate for nut calculations.
Q: How does thread pitch affect the weight?
The thread pitch, along with the major diameter, defines the thread's profile. A finer pitch (smaller value) means threads are closer together, potentially leading to slightly more material engagement and a subtly different volume compared to a coarse pitch of the same diameter. Our approximation takes this into account.
Q: What units are the results in?
The primary result is displayed in kilograms (kg). Intermediate calculations for volume are in cubic centimeters (cm³), and weight per fastener is also shown in kilograms (kg).
Q: Can I calculate the weight of washers using this tool?
This calculator is specifically designed for nuts and bolts. While you could approximate a washer's weight using the bolt volume calculation with a very short length, it's not optimized for washer geometry. Separate tools or formulas are better suited for washers.

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A more complex geometric calculation would be needed for perfect accuracy. // We'll approximate volume based on overall dimensions, with a slight adjustment for thread depth. var majorDiameterCM = diameterCM; var minorDiameterCM = diameterCM – 2 * (0.6495 * threadPitchCM); // Approximation for minor diameter if (minorDiameterCM < 0) minorDiameterCM = 0; // Volume of cylinder section for thread var threadSectionVolume = (Math.PI * (majorDiameterCM / 2)**2 – Math.PI * (minorDiameterCM / 2)**2) * threadPitchCM; var numThreads = Math.floor(lengthCM / threadPitchCM); var threadedPartVolume = numThreads * threadSectionVolume; // Crude approximation var unthreadedShankVolume = Math.PI * (diameterCM / 2)**2 * (lengthCM – numThreads * threadPitchCM); // More practical approximation: treat as cylinder, adjust for threads using empirical factors or simpler model // A common approximation uses D and L directly, adjusted by a factor. // Let's use a simplified cylinder volume for calculation clarity, acknowledging it's an approximation. volumeCM3 = Math.PI * (diameterCM / 2) * (diameterCM / 2) * lengthCM; // A slightly more refined approach for bolt volume calculation might involve estimating the volume of the hex head as well, // but for simplicity, we focus on the shank and thread. // For many practical purposes, V = pi * (D/2)^2 * L is sufficient for estimation. // Adjusting for thread can be complex; often empirical factors are used. // Let's stick to V_bolt = pi * (D_effective/2)^2 * L_effective // Using nominal diameter and length as primary drivers. weightPerItemKG = (volumeCM3 * materialDensity) / 1000; effectiveLength = length; // Bolt length is used directly } else { // Nut // Approximate nut volume as a cylinder with a hole, considering width across flats for size. // Standard nut height H is often ≈ D. Width across flats W is often ≈ 1.5*D. var nutHeightCM = diameterCM; // Approximation: Nut height ~ Nominal Diameter var widthAcrossFlatsCM = 1.5 * diameterCM; // Approximation var innerDiameterCM = diameterCM – 2 * (0.6495 * threadPitchCM); // Approx minor diameter of internal thread if (innerDiameterCM < 0) innerDiameterCM = 0; // Volume of the outer cylinder var outerCylinderVolume = Math.PI * (widthAcrossFlatsCM / 2)**2 * nutHeightCM; // Using width across flats for outer dimension approximation // Volume of the inner hole (approximated as cylinder) var innerHoleVolume = Math.PI * (innerDiameterCM / 2)**2 * nutHeightCM; // Simplified nut volume: A cylinder with a diameter slightly larger than the bolt's major diameter, and height D. // This is a very crude approximation. A better one uses hex geometry. // For estimation, volume can be roughly proportional to D^2 * H. // Let's use a simpler geometric approximation: var approximateNutVolume = Math.PI * (diameterCM * 0.75)**2 * diameterCM * 0.8; // Empirical approximation: Width is ~1.5D, height is ~D volumeCM3 = approximateNutVolume; // Assign to the general volume variable weightPerItemKG = (volumeCM3 * materialDensity) / 1000; effectiveLength = 0; // Not applicable for nuts } var totalWeightKG = weightPerItemKG * quantity; document.getElementById("mainResult").innerHTML = totalWeightKG.toFixed(3) + " kg"; document.getElementById("calculatedLength").innerHTML = effectiveLength.toFixed(1) + " mm"; document.getElementById("calculatedVolume").innerHTML = volumeCM3.toFixed(2) + " cm³"; document.getElementById("calculatedTotalMass").innerHTML = totalWeightKG.toFixed(3) + " kg"; updateChart(); } function copyResults() { var mainResult = document.getElementById("mainResult").innerText; var calculatedLength = document.getElementById("calculatedLength").innerText; var calculatedVolume = document.getElementById("calculatedVolume").innerText; var calculatedTotalMass = document.getElementById("calculatedTotalMass").innerText; var fastenerType = document.getElementById("fastenerType").options[document.getElementById("fastenerType").selectedIndex].text; var diameter = document.getElementById("diameter").value + " mm"; var length = (document.getElementById("fastenerType").value === "bolt") ? document.getElementById("length").value + " mm" : "N/A"; var materialDensity = document.getElementById("materialDensity").options[document.getElementById("materialDensity").selectedIndex].text; var quantity = document.getElementById("quantity").value; var threadPitch = (document.getElementById("fastenerType").value === "bolt") ? document.getElementById("threadPitch").value + " mm" : "N/A"; var resultText = "— Nut and Bolt Weight Calculation Results —\n\n"; resultText += "Fastener Type: " + fastenerType + "\n"; resultText += "Nominal Diameter: " + diameter + "\n"; resultText += "Length: " + length + "\n"; resultText += "Material: " + materialDensity + "\n"; resultText += "Quantity: " + quantity + "\n"; resultText += "Thread Pitch: " + threadPitch + "\n\n"; resultText += "— Calculated Values —\n"; resultText += "Total Weight: " + mainResult + "\n"; resultText += "Effective Length Used: " + calculatedLength + "\n"; resultText += "Estimated Volume: " + calculatedVolume + "\n"; resultText += "Weight Per Fastener: " + calculatedTotalMass + "\n"; // Note: Renamed for clarity on copy try { navigator.clipboard.writeText(resultText).then(function() { alert("Results copied to clipboard!"); }).catch(function(err) { console.error("Failed to copy: ", err); alert("Failed to copy results. Please copy manually."); }); } catch (e) { console.error("Clipboard API not available: ", e); alert("Clipboard API not available. Please copy results manually."); } } function resetCalculator() { document.getElementById("fastenerType").value = "bolt"; document.getElementById("diameter").value = "10"; document.getElementById("length").value = "50"; document.getElementById("materialDensity").value = "7.85"; document.getElementById("quantity").value = "100"; document.getElementById("threadPitch").value = "1.5"; // Clear errors document.getElementById("diameterError").style.display = "none"; document.getElementById("lengthError").style.display = "none"; document.getElementById("quantityError").style.display = "none"; document.getElementById("threadPitchError").style.display = "none"; updateUnitLabels(); // Update display based on reset values calculateWeight(); // Recalculate with reset values } // Charting Functions function initializeChart() { chartContext = document.getElementById("weightChart").getContext("2d"); chart = new Chart(chartContext, { type: 'line', data: { labels: [], // Will be populated by updateChart datasets: [{ label: 'Weight per Bolt (kg)', data: [], // Will be populated by updateChart borderColor: 'rgb(0, 74, 153)', // Primary color backgroundColor: 'rgba(0, 74, 153, 0.1)', fill: true, tension: 0.1 }, { label: 'Weight per Nut (kg)', data: [], // Will be populated by updateChart borderColor: 'rgb(40, 167, 69)', // Success color backgroundColor: 'rgba(40, 167, 69, 0.1)', fill: true, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: true, title: { display: true, text: 'Weight (kg)' } }, x: { title: { display: true, text: 'Nominal Diameter (mm)' } } }, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Weight vs. Diameter Comparison' } } } }); } function updateChart() { if (!chart) { initializeChart(); } var diameters = [3, 4, 5, 6, 8, 10, 12, 16, 18, 20]; // Common diameters var boltWeights = []; var nutWeights = []; var currentMaterialDensity = parseFloat(document.getElementById("materialDensity").value); var currentThreadPitchBolt = 1.5; // Default for bolts, could be dynamic var currentLengthBolt = 50; // Default for bolts, could be dynamic // Update chart with current selected bolt length and thread pitch currentLengthBolt = parseFloat(document.getElementById("length").value); currentThreadPitchBolt = parseFloat(document.getElementById("threadPitch").value); diameters.forEach(function(d) { var d_cm = d / 10; var p_cm = currentThreadPitchBolt / 10; // Use current input pitch for bolt calc var l_cm = currentLengthBolt / 10; // Use current input length for bolt calc // Bolt weight calculation for chart (simplified cylinder) var boltVol_cm3 = Math.PI * (d_cm / 2)**2 * l_cm; var boltWeight = (boltVol_cm3 * currentMaterialDensity) / 1000; boltWeights.push(boltWeight.toFixed(4)); // Nut weight calculation for chart (simplified cylinder approximation) var nutHeight_cm = d_cm; var widthAcrossFlats_cm = 1.5 * d_cm; var innerDiameter_cm = d_cm – 2 * (0.6495 * p_cm); if (innerDiameter_cm < 0) innerDiameter_cm = 0; var approxNutVolume = Math.PI * (widthAcrossFlats_cm / 2)**2 * nutHeight_cm – Math.PI * (innerDiameter_cm / 2)**2 * nutHeight_cm; // Rough hex-based // Simplified empirical calculation for nut weight for chart consistency var empiricalNutVolume = Math.PI * (d_cm * 0.75)**2 * d_cm * 0.8; var nutWeight = (empiricalNutVolume * currentMaterialDensity) / 1000; nutWeights.push(nutWeight.toFixed(4)); }); chart.data.labels = diameters.map(String); // Convert diameters to strings for labels chart.data.datasets[0].data = boltWeights; chart.data.datasets[1].data = nutWeights; // Update dataset labels and potentially descriptions based on current inputs chart.data.datasets[0].label = 'Weight per Bolt (kg) for M' + document.getElementById("diameter").value + 'x' + document.getElementById("length").value + ' (' + document.getElementById("materialDensity").options[document.getElementById("materialDensity").selectedIndex].text.split('(')[0].trim() + ')'; chart.data.datasets[1].label = 'Weight per Nut (kg) for M' + document.getElementById("diameter").value + ' (' + document.getElementById("materialDensity").options[document.getElementById("materialDensity").selectedIndex].text.split('(')[0].trim() + ')'; chart.update(); } // FAQ Toggles function setupFaqToggles() { var faqItems = document.querySelectorAll('.faq-item .question'); faqItems.forEach(function(item) { item.addEventListener('click', function() { var faqItem = this.parentElement; faqItem.classList.toggle('open'); }); }); } // Initial setup document.addEventListener('DOMContentLoaded', function() { updateUnitLabels(); calculateWeight(); // Initial calculation initializeChart(); // Initialize chart setupFaqToggles(); // Setup FAQ toggles });

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