Aluminium Profile Weight Calculation Formula

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Aluminium Profile Weight Calculator

Calculate Aluminium Profile Weight

Enter the length of the aluminium profile.
Enter the width of the aluminium profile.
Enter the height of the aluminium profile.
Enter the wall thickness of the aluminium profile.
Standard density for Aluminium (e.g., 2.7 g/cm³).

Calculation Results

Estimated Weight:
kg
Cross-Sectional Area: cm²
Volume: cm³
Weight per Meter: kg/m

Weight = (Cross-Sectional Area – Area of Holes) * Length * Density. For solid profiles, Area of Holes is 0.

Weight vs. Length

Visualizing how profile weight changes with length.

What is Aluminium Profile Weight Calculation?

Aluminium profile weight calculation is the process of determining the mass of a specific aluminium extrusion or shape. This is crucial for inventory management, shipping costs, material requirements, structural design, and cost estimation in various industries, including construction, automotive, aerospace, and manufacturing. Understanding the weight of aluminium profiles allows businesses to optimize their material usage, control expenses, and ensure the integrity of their projects. It's a fundamental aspect of working with aluminium extrusions, ensuring that the right amount of material is accounted for at every stage.

Who should use it: Manufacturers, fabricators, engineers, procurement specialists, logistics managers, and project managers who work with aluminium extrusions will find this calculation invaluable. Whether you're ordering raw materials, quoting a custom project, or designing a new product, knowing the exact weight is essential for accuracy.

Common misconceptions: A frequent misconception is that all profiles of the same overall dimensions weigh the same. This is incorrect, as hollow or complex internal structures significantly alter the weight. Another misconception is that weight is solely dependent on length; while length is a major factor, the cross-sectional geometry and wall thickness play equally critical roles.

Aluminium Profile Dimensions & Weights Table

Profile Length (m) Calculated Weight (kg) Weight per Meter (kg/m)
Summary of calculated weights for different profile lengths.

Aluminium Profile Weight Calculation Formula and Mathematical Explanation

The core of the aluminium profile weight calculation lies in understanding its volume and density. The general formula is: Weight = Volume × Density. However, for extruded profiles, we first need to determine the volume.

For a solid rectangular profile, the volume is simply: Volume = Length × Width × Height. For hollow or more complex profiles, it's more accurate to consider the cross-sectional area.

Step-by-Step Derivation:

  1. Calculate the Cross-Sectional Area (A): This is the area of the profile's shape if you were to slice it perpendicularly to its length. For a simple rectangular profile, A = Width × Height. For more complex shapes (like I-beams or hollow tubes), this might involve subtracting the area of any internal voids or adding areas of individual components.
  2. Calculate the Volume (V): Once you have the cross-sectional area, multiply it by the profile's length. V = A × Length. It's crucial that the units are consistent (e.g., if area is in cm² and length is in cm, volume will be in cm³).
  3. Calculate the Weight (W): Multiply the volume by the density of aluminium. W = V × Density. The density of aluminium is approximately 2.7 grams per cubic centimeter (g/cm³).

To simplify calculations and account for common units, especially when dealing with metric measurements, we often calculate the weight per meter:

Weight per Meter (kg/m) = (Cross-Sectional Area in cm²) × (Aluminium Density in g/cm³) / 1000

Total Weight (kg) = Weight per Meter (kg/m) × Profile Length (m)

Variable Explanations:

Variable Meaning Unit Typical Range
Length (L) The total length of the aluminium profile. Meters (m) or Centimeters (cm) 0.1 m – 10+ m
Width (W) The overall width of the profile's cross-section. Centimeters (cm) or Millimeters (mm) 1 cm – 50+ cm
Height (H) The overall height of the profile's cross-section. Centimeters (cm) or Millimeters (mm) 1 cm – 50+ cm
Wall Thickness (T) The thickness of the material forming the profile walls. Centimeters (cm) or Millimeters (mm) 0.5 mm – 10+ mm
Cross-Sectional Area (A) The area of the profile's shape perpendicular to its length. Square Centimeters (cm²) Varies greatly based on geometry
Density (ρ) The mass per unit volume of aluminium. Grams per Cubic Centimeter (g/cm³) ~2.7 g/cm³ (for common alloys)
Volume (V) The total space occupied by the profile. Cubic Centimeters (cm³) Varies greatly
Weight (W) The total mass of the aluminium profile. Kilograms (kg) Varies greatly

Practical Examples (Real-World Use Cases)

Understanding the practical application of the aluminium profile weight calculation is key to appreciating its importance.

Example 1: Custom Window Frame Fabrication

A fabrication shop is quoting a custom project involving several aluminium window frames. They need to estimate the material cost for a specific frame profile that has a length of 3.5 meters. The profile has a complex L-shape with specific dimensions:

  • Overall Length: 70 mm (7 cm)
  • Overall Width: 40 mm (4 cm)
  • Wall Thickness: 2 mm (0.2 cm)
  • Profile Length: 3.5 m
  • Aluminium Density: 2.7 g/cm³

Calculation Steps:

  • Approximate Cross-Sectional Area: We can model this as a large rectangle minus a smaller one. Area = (7cm * 0.2cm) + (3.8cm * 0.2cm) [assuming internal corner is cut] ≈ 1.4 cm² + 0.76 cm² = 2.16 cm². A more precise calculation using CAD would be used in practice. Let's use 2.16 cm² for this example.
  • Volume = Cross-Sectional Area × Profile Length (in cm): Volume = 2.16 cm² × (350 cm) = 756 cm³
  • Weight = Volume × Density: Weight = 756 cm³ × 2.7 g/cm³ = 2041.2 grams
  • Convert to Kilograms: Weight = 2041.2 g / 1000 = 2.04 kg

Interpretation: The shop knows that each 3.5-meter L-shaped profile will weigh approximately 2.04 kg. This allows them to calculate the total aluminium needed for the project and accurately estimate material costs, ensuring profitability.

Example 2: Inventory Management for Industrial Shelving

An industrial shelving manufacturer uses a standard U-channel profile for their shelf supports. They need to track their inventory of this profile, which comes in standard lengths of 6 meters. For a batch of 100 units, they need to calculate the total weight.

  • Profile Type: U-channel
  • Overall Width: 50 mm (5 cm)
  • Overall Height: 30 mm (3 cm)
  • Wall Thickness: 3 mm (0.3 cm)
  • Profile Length: 6 m (600 cm)
  • Aluminium Density: 2.7 g/cm³

Calculation Steps:

  • Cross-Sectional Area: Area of outer rectangle – area of inner void. Outer: 5cm * 3cm = 15 cm². Inner void: (5cm – 2*0.3cm) * (3cm – 0.3cm) = 4.4cm * 2.7cm = 11.88 cm². Cross-Sectional Area = 15 cm² – 11.88 cm² = 3.12 cm².
  • Volume = Cross-Sectional Area × Profile Length (in cm): Volume = 3.12 cm² × (600 cm) = 1872 cm³
  • Weight = Volume × Density: Weight = 1872 cm³ × 2.7 g/cm³ = 5054.4 grams
  • Convert to Kilograms: Weight = 5054.4 g / 1000 = 5.05 kg per 6m profile.
  • Total Weight for 100 units: 5.05 kg/unit × 100 units = 505 kg.

Interpretation: The manufacturer can accurately update their inventory records, knowing that the 100 units of 6m U-channel profiles weigh a total of 505 kg. This is vital for logistics planning, warehouse capacity, and preparing shipments.

How to Use This Aluminium Profile Weight Calculator

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

  1. Enter Profile Dimensions: Input the 'Profile Length' in meters, and the 'Profile Width', 'Profile Height', and 'Wall Thickness' in centimeters. Ensure these measurements accurately reflect the profile's geometry.
  2. Set Aluminium Density: The calculator defaults to the standard density of aluminium (2.7 g/cm³). You can adjust this if you are working with a specific aluminium alloy with a different known density.
  3. Calculate: Click the "Calculate Weight" button.

How to Read Results:

  • Estimated Weight (kg): This is the primary result, showing the total calculated weight of your profile in kilograms.
  • Cross-Sectional Area (cm²): Displays the area of the profile's shape, crucial for understanding its geometry.
  • Volume (cm³): Shows the total volume of the aluminium profile.
  • Weight per Meter (kg/m): This is a useful metric for comparing different profiles or for quick estimations based on length.

Decision-Making Guidance:

Use these results to make informed decisions:

  • Material Procurement: Order the correct quantity of aluminium based on precise weight requirements.
  • Cost Estimation: Accurately factor in material costs for quotes and project budgets.
  • Logistics: Plan shipping and handling more effectively by knowing the exact weight.
  • Structural Design: Ensure that structural components made from these profiles can support the intended loads, considering the material's weight.

The 'Reset' button allows you to clear all fields and start over, while 'Copy Results' lets you easily transfer the calculated data for reporting or documentation.

Key Factors That Affect Aluminium Profile Weight Results

While the aluminium profile weight calculation formula is straightforward, several factors can influence the accuracy and final weight:

  1. Cross-Sectional Geometry Complexity: The more intricate the profile's shape (e.g., hollow sections, internal ribs, complex curves), the more challenging it is to calculate the exact cross-sectional area. Minor inaccuracies in measuring these complex shapes can lead to significant weight discrepancies. CAD software is often used for precise area calculations of complex profiles.
  2. Wall Thickness Variation: Extrusion processes aim for uniform wall thickness, but slight variations can occur, especially in thicker sections or complex designs. Thicker walls mean more aluminium and thus higher weight.
  3. Aluminium Alloy Density: While 2.7 g/cm³ is a common average for aluminium alloys (like 6061 or 6063), different alloys have slightly varying densities. For critical applications, using the specific density of the alloy being used is important for precise weight calculations.
  4. Length Tolerance: Standard lengths often have manufacturing tolerances (e.g., ±5 mm). While this may seem small, for very long profiles, the cumulative difference can impact the total weight.
  5. Hollow Sections and Internal Voids: Profiles with internal air gaps or hollow chambers will weigh less than solid profiles of the same outer dimensions. Accurate calculation requires precise knowledge of the void's dimensions.
  6. Surface Treatments and Coatings: Processes like anodizing or powder coating add a thin layer to the surface. While the added weight is usually minimal for typical profiles, it can become a factor for very thin-walled or small-batch applications where every gram counts.
  7. Manufacturing Defects: Inclusion of foreign materials, voids within the aluminium matrix, or significant inconsistencies in extrusion can slightly alter the actual weight compared to the theoretical calculation.

Frequently Asked Questions (FAQ)

What is the standard density of aluminium?

The standard density for most common aluminium alloys used in extrusions (like 6061 or 6063) is approximately 2.7 grams per cubic centimeter (g/cm³). This is equivalent to 2700 kilograms per cubic meter (kg/m³).

Does the type of aluminium alloy affect the weight?

Yes, slightly. While 2.7 g/cm³ is a good average, different aluminium alloys have minor variations in their density due to their specific elemental compositions. For high-precision calculations, it's best to use the exact density of the alloy in question.

How do I calculate the weight of a hollow aluminium tube?

For a hollow tube, calculate the cross-sectional area by finding the area of the outer circle and subtracting the area of the inner circle. Then, multiply this net area by the tube's length and the aluminium density.

What units should I use for the calculation?

Consistency is key. This calculator uses centimeters (cm) for dimensions (width, height, thickness), meters (m) for length, g/cm³ for density, resulting in weight in kilograms (kg). Ensure your input units match the expected format.

What if my profile isn't a simple rectangle or tube?

For complex custom profiles, the most accurate method is to use CAD software to determine the precise cross-sectional area. The calculated area can then be used in the formula: Weight = Area (cm²) × Length (m) × Density (g/cm³) / 1000.

How does this calculation help in project costing?

Knowing the precise weight allows for accurate material cost estimation. This prevents under- or over-budgeting, which is essential for project profitability and client satisfaction. Accurate weight also impacts shipping costs.

Can I use this calculator for aluminium bars?

Yes, if you consider the cross-section of the bar (e.g., square, round, rectangular) and input its dimensions correctly. For a solid bar, the 'wall thickness' input might not be directly applicable unless you are calculating the weight of a hollow bar.

What is the difference between weight and mass?

In everyday contexts and engineering, 'weight' is often used interchangeably with 'mass'. Technically, mass is the amount of matter in an object, while weight is the force of gravity on that mass. For these calculations, we are determining the mass in kilograms.

Related Tools and Internal Resources

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var profileLengthInput = document.getElementById('profileLength'); var profileWidthInput = document.getElementById('profileWidth'); var profileHeightInput = document.getElementById('profileHeight'); var wallThicknessInput = document.getElementById('wallThickness'); var densityInput = document.getElementById('density'); var profileLengthError = document.getElementById('profileLengthError'); var profileWidthError = document.getElementById('profileWidthError'); var profileHeightError = document.getElementById('profileHeightError'); var wallThicknessError = document.getElementById('wallThicknessError'); var densityError = document.getElementById('densityError'); var primaryResultDiv = document.getElementById('primaryResult'); var crossSectionalAreaDiv = document.getElementById('crossSectionalArea'); var volumeDiv = document.getElementById('volume'); var weightPerMeterDiv = document.getElementById('weightPerMeter'); var chart = null; var chartContext = null; function validateInput(value, inputElement, errorElement, min = 0, max = Infinity) { var errorMessage = ""; if (isNaN(value) || value === "") { errorMessage = "Please enter a valid number."; } else if (value max) { errorMessage = "Value is too high."; } errorElement.textContent = errorMessage; inputElement.style.borderColor = errorMessage ? "#dc3545" : "#ccc"; return !errorMessage; } function calculateWeight() { var length = parseFloat(profileLengthInput.value); var width = parseFloat(profileWidthInput.value); var height = parseFloat(profileHeightInput.value); var thickness = parseFloat(wallThicknessInput.value); var density = parseFloat(densityInput.value); var isValid = true; isValid &= validateInput(length, profileLengthInput, profileLengthError, 0); isValid &= validateInput(width, profileWidthInput, profileWidthError, 0); isValid &= validateInput(height, profileHeightInput, profileHeightError, 0); isValid &= validateInput(thickness, wallThicknessInput, wallThicknessError, 0); isValid &= validateInput(density, densityInput, densityError, 0.1, 10); // Density realistically > 0.1 if (!isValid) { primaryResultDiv.textContent = "–"; crossSectionalAreaDiv.textContent = "–"; volumeDiv.textContent = "–"; weightPerMeterDiv.textContent = "–"; updateChart([], []); return; } // Assuming a rectangular profile for basic calculation. // For hollow or complex profiles, the area calculation is more complex. // This simplified calculation assumes outer dimensions and subtracts a hollow core. // A more robust calculator would need shape selection or advanced area input. // Simple rectangular profile calculation: var crossSectionalArea = width * height; var volume = crossSectionalArea * length * 1000; // Convert length to cm if input is in meters var weight = (volume / 1000) * density; // Convert cm³ to liters (dm³) then kg if density is g/cm³ // For common profiles like tubes/channels, we need to subtract internal void // This requires more specific input or shape assumptions. // Let's refine to calculate based on width, height, thickness for a rectangular tube: var effectiveWidth = width – 2 * thickness; var effectiveHeight = height – 2 * thickness; if (effectiveWidth < 0 || effectiveHeight < 0) { // If thickness is too large for dimensions, assume solid or invalid input // Fallback to solid rectangle if calculation results in negative void dimensions crossSectionalArea = width * height; volume = crossSectionalArea * length * 1000; // Length in cm weight = (volume / 1000) * density; document.getElementById('formula-explanation-detail').textContent = "Assumed solid profile due to thickness exceeding dimensions. Weight = Width * Height * Length * Density."; } else { // Calculate hollow section area var outerArea = width * height; var innerArea = effectiveWidth * effectiveHeight; crossSectionalArea = outerArea – innerArea; volume = crossSectionalArea * length * 1000; // Length in cm weight = (volume / 1000) * density; // Volume in cm³, Density in g/cm³, result in kg document.getElementById('formula-explanation-detail').textContent = "Weight = (Outer Area – Inner Area) * Length * Density."; } var weightPerMeter = (crossSectionalArea * density) / 1000; // Area in cm², Density in g/cm³, result in kg/m primaryResultDiv.textContent = weight.toFixed(3); crossSectionalAreaDiv.textContent = crossSectionalArea.toFixed(2); volumeDiv.textContent = volume.toFixed(2); weightPerMeterDiv.textContent = weightPerMeter.toFixed(3); updateTableAndChart(length, weight, weightPerMeter); } function resetCalculator() { profileLengthInput.value = ""; profileWidthInput.value = ""; profileHeightInput.value = ""; wallThicknessInput.value = ""; densityInput.value = "2.7"; profileLengthError.textContent = ""; profileWidthError.textContent = ""; profileHeightError.textContent = ""; wallThicknessError.textContent = ""; densityError.textContent = ""; profileLengthInput.style.borderColor = "#ccc"; profileWidthInput.style.borderColor = "#ccc"; profileHeightInput.style.borderColor = "#ccc"; wallThicknessInput.style.borderColor = "#ccc"; densityInput.style.borderColor = "#ccc"; primaryResultDiv.textContent = "–"; crossSectionalAreaDiv.textContent = "–"; volumeDiv.textContent = "–"; weightPerMeterDiv.textContent = "–"; updateTableAndChart(0, 0, 0); // Clear table and chart } function copyResults() { var resultText = "Aluminium Profile Weight Calculation Results:\n\n"; resultText += "Estimated Weight: " + primaryResultDiv.textContent + " kg\n"; resultText += "Cross-Sectional Area: " + crossSectionalAreaDiv.textContent + " cm²\n"; resultText += "Volume: " + volumeDiv.textContent + " cm³\n"; resultText += "Weight per Meter: " + weightPerMeterDiv.textContent + " kg/m\n\n"; resultText += "Key Assumptions:\n"; resultText += "- Profile Length: " + profileLengthInput.value + " m\n"; resultText += "- Profile Width: " + profileWidthInput.value + " cm\n"; resultText += "- Profile Height: " + profileHeightInput.value + " cm\n"; resultText += "- Wall Thickness: " + wallThicknessInput.value + " cm\n"; resultText += "- Aluminium Density: " + densityInput.value + " g/cm³\n"; var textArea = document.createElement("textarea"); textArea.value = resultText; textArea.style.position = "fixed"; textArea.style.left = "-9999px"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'successful' : 'unsuccessful'; console.log('Copying text command was ' + msg); // Optionally provide user feedback } catch (err) { console.log('Oops, unable to copy'); } document.body.removeChild(textArea); } function updateTableAndChart(currentLength, currentWeight, currentWeightPerMeter) { var tableBody = document.querySelector("#weightTable tbody"); tableBody.innerHTML = ''; // Clear existing rows var lengthsToTest = [1, 3, 6, 9, 12]; // Test common lengths var chartLabels = []; var chartDataWeight = []; var chartDataWeightPerMeter = []; lengthsToTest.forEach(function(len) { var row = tableBody.insertRow(); var cellLength = row.insertCell(0); var cellWeight = row.insertCell(1); var cellWeightPerMeter = row.insertCell(2); cellLength.textContent = len + " m"; // Recalculate for these lengths using current profile dimensions var tempWidth = parseFloat(profileWidthInput.value) || 0; var tempHeight = parseFloat(profileHeightInput.value) || 0; var tempThickness = parseFloat(wallThicknessInput.value) || 0; var tempDensity = parseFloat(densityInput.value) || 2.7; var tempEffectiveWidth = tempWidth – 2 * tempThickness; var tempEffectiveHeight = tempHeight – 2 * tempThickness; var tempCrossSectionalArea = 0; if (tempEffectiveWidth < 0 || tempEffectiveHeight 0 && !lengthsToTest.includes(currentLength)) { chartLabels.push(currentLength + " m"); chartDataWeight.push(currentWeight); chartDataWeightPerMeter.push(currentWeightPerMeter); } updateChart(chartLabels, chartDataWeight, chartDataWeightPerMeter); } function updateChart(labels, dataWeight, dataWeightPerMeter) { if (!chartContext) { var canvas = document.getElementById('weightChart'); chartContext = canvas.getContext('2d'); } if (chart) { chart.destroy(); } if (labels.length === 0 || dataWeight.length === 0 || dataWeightPerMeter.length === 0) { // Clear canvas if no data chartContext.clearRect(0, 0, chartContext.canvas.width, chartContext.canvas.height); return; } chart = new Chart(chartContext, { type: 'bar', // Changed to bar for potentially better visualization of discrete lengths data: { labels: labels, datasets: [{ label: 'Total Weight (kg)', data: dataWeight, backgroundColor: 'rgba(0, 74, 153, 0.6)', borderColor: 'rgba(0, 74, 153, 1)', borderWidth: 1, yAxisID: 'y-axis-weight' }, { label: 'Weight per Meter (kg/m)', data: dataWeightPerMeter, backgroundColor: 'rgba(40, 167, 69, 0.6)', borderColor: 'rgba(40, 167, 69, 1)', borderWidth: 1, yAxisID: 'y-axis-weight-per-meter' }] }, options: { responsive: true, maintainAspectRatio: true, // Allow aspect ratio to adjust scales: { x: { title: { display: true, text: 'Profile Length (m)' } }, 'y-axis-weight': { type: 'linear', position: 'left', title: { display: true, text: 'Total Weight (kg)' }, grid: { drawOnChartArea: true, // only want the grid lines for one axis to show up }, ticks: { beginAtZero: true } }, 'y-axis-weight-per-meter': { type: 'linear', position: 'right', title: { display: true, text: 'Weight per Meter (kg/m)' }, grid: { drawOnChartArea: false, // only want the grid lines for one axis to show up }, ticks: { beginAtZero: true } } }, plugins: { legend: { position: 'top', }, tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y.toFixed(3); } return label; } } } } } }); } // Initial calculation and chart render on page load document.addEventListener('DOMContentLoaded', function() { // Optionally perform an initial calculation with default values if any // Or just ensure the chart is setup correctly. updateTableAndChart(0, 0, 0); // Initialize empty table/chart profileLengthInput.addEventListener('input', calculateWeight); profileWidthInput.addEventListener('input', calculateWeight); profileHeightInput.addEventListener('input', calculateWeight); wallThicknessInput.addEventListener('input', calculateWeight); densityInput.addEventListener('input', calculateWeight); });

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