Aluminium Busbar Weight Calculation Formula

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Aluminium Busbar Weight Calculation Formula & Calculator

Calculate Aluminium Busbar Weight

Enter the dimensions and material properties to calculate the weight of your aluminium busbar.

Rectangular Round Square Select the cross-sectional shape of the busbar.
Length of the busbar (meters).
Width of the busbar's cross-section (meters).
Thickness of the busbar's cross-section (meters).
Length of the busbar (meters).
Diameter of the round busbar (meters).
Length of the busbar (meters).
Side length of the square busbar's cross-section (meters).
Density of aluminium in kg/m³. Typical value is 2700 kg/m³.
Weight: — kg

Cross-sectional Area: — m²

Volume: — m³

Density Used: — kg/m³

Formula Used: Weight = Volume × Density

Where Volume is calculated based on the busbar's shape and dimensions.

Weight Distribution by Dimension
Input Parameters and Calculated Values
Parameter Value Unit
Busbar Shape N/A
Length m
Width m
Thickness m
Diameter m
Side Length m
Aluminium Density kg/m³
Cross-sectional Area
Volume
Calculated Weight kg

What is Aluminium Busbar Weight Calculation?

The aluminium busbar weight calculation formula is a fundamental engineering tool used to determine the mass of aluminium conductive bars based on their physical dimensions and the density of aluminium. Busbars are essential components in electrical power distribution systems, serving as a convenient means of connecting multiple electrical circuits. Precisely calculating their weight is crucial for several reasons, including structural support design, transportation logistics, material cost estimation, and ensuring safe handling and installation. Understanding the aluminium busbar weight calculation formula ensures that engineers, electricians, and procurement specialists can accurately estimate material requirements and associated costs.

This calculation is primarily used by electrical engineers, system designers, manufacturers of busbar systems, purchasing departments, and project managers involved in power distribution projects. Accurate weight calculations prevent over-ordering or under-ordering materials, optimize shipping costs, and inform the design of supporting structures, such as racks and enclosures, which must bear the busbar's weight. Common misconceptions include assuming all aluminium alloys have the same density or that weight is solely dependent on length, neglecting the critical impact of the cross-sectional area.

Aluminium Busbar Weight Calculation Formula and Mathematical Explanation

The core principle behind the aluminium busbar weight calculation formula is the relationship between volume, density, and mass. The formula is straightforward:

Weight (kg) = Volume (m³) × Density (kg/m³)

To apply this formula, we first need to calculate the volume of the busbar, which depends on its cross-sectional area and its length.

Volume (m³) = Cross-sectional Area (m²) × Length (m)

The calculation of the cross-sectional area varies depending on the busbar's shape:

  • Rectangular Busbar: Area = Width × Thickness
  • Square Busbar: Area = Side Length × Side Length
  • Round Busbar: Area = π × (Diameter / 2)² = 0.25 × π × Diameter²

Combining these, the full aluminium busbar weight calculation formula for each shape becomes:

  • Rectangular: Weight = (Width × Thickness × Length) × Density
  • Square: Weight = (Side Length² × Length) × Density
  • Round: Weight = (0.25 × π × Diameter² × Length) × Density

Variables and Their Meanings

Here's a breakdown of the variables involved in the aluminium busbar weight calculation formula:

Variable Meaning Unit Typical Range/Value
Length (L) The total length of the busbar. meters (m) 0.1 m to 10+ m
Width (W) The width of the rectangular busbar's cross-section. meters (m) 0.01 m to 0.5 m
Thickness (T) The thickness of the rectangular busbar's cross-section. meters (m) 0.001 m to 0.02 m
Side Length (S) The side length of the square busbar's cross-section. meters (m) 0.01 m to 0.5 m
Diameter (D) The diameter of the round busbar. meters (m) 0.01 m to 0.5 m
Density (ρ) The density of the specific aluminium alloy. kilograms per cubic meter (kg/m³) Typically 2700 kg/m³ for common alloys like 6061 or 6063.
Cross-sectional Area (A) The area of the busbar's end profile. square meters (m²) Varies greatly based on dimensions.
Volume (V) The total space occupied by the busbar. cubic meters (m³) Varies greatly based on dimensions.
Weight (W) The total mass of the busbar. kilograms (kg) Varies greatly based on dimensions and length.

Practical Examples (Real-World Use Cases)

Let's illustrate the aluminium busbar weight calculation formula with practical examples:

Example 1: Rectangular Busbar for a Substation

An electrical engineer needs to calculate the weight of a rectangular aluminium busbar for a substation's main power distribution. The busbar specifications are:

  • Shape: Rectangular
  • Length: 3 meters
  • Width: 100 mm (0.1 meters)
  • Thickness: 5 mm (0.005 meters)
  • Aluminium Alloy Density: 2700 kg/m³

Calculation:

  1. Cross-sectional Area = Width × Thickness = 0.1 m × 0.005 m = 0.0005 m²
  2. Volume = Area × Length = 0.0005 m² × 3 m = 0.0015 m³
  3. Weight = Volume × Density = 0.0015 m³ × 2700 kg/m³ = 4.05 kg

Interpretation: This specific busbar weighs approximately 4.05 kg. This information is vital for ordering the correct amount of material, designing the support structures that will hold multiple busbars, and planning the transportation to the site.

Example 2: Round Busbar for an Industrial Panel

A manufacturer is producing a custom industrial control panel and requires a round aluminium busbar for current distribution.

  • Shape: Round
  • Length: 1.5 meters
  • Diameter: 20 mm (0.02 meters)
  • Aluminium Alloy Density: 2700 kg/m³

Calculation:

  1. Radius = Diameter / 2 = 0.02 m / 2 = 0.01 m
  2. Cross-sectional Area = π × Radius² = π × (0.01 m)² ≈ 3.14159 × 0.0001 m² ≈ 0.000314159 m²
  3. Volume = Area × Length ≈ 0.000314159 m² × 1.5 m ≈ 0.0004712385 m³
  4. Weight = Volume × Density ≈ 0.0004712385 m³ × 2700 kg/m³ ≈ 1.27 kg

Interpretation: The round busbar weighs about 1.27 kg. This relatively light weight makes it suitable for applications where space and weight constraints are important. Project managers can use this to confirm supplier quotes and ensure lightweight construction.

How to Use This Aluminium Busbar Weight Calculator

Our interactive calculator simplifies the aluminium busbar weight calculation formula, making it easy to get accurate results quickly. Follow these steps:

  1. Select Busbar Shape: Choose from 'Rectangular', 'Round', or 'Square' using the dropdown menu. The calculator will automatically display the relevant input fields.
  2. Enter Dimensions:
    • For Rectangular: Input the Length (m), Width (m), and Thickness (m).
    • For Round: Input the Length (m) and Diameter (m).
    • For Square: Input the Length (m) and Side Length (m).
    Ensure all dimensions are entered in meters for consistency.
  3. Specify Aluminium Density: The calculator defaults to 2700 kg/m³, a common density for aluminium alloys. If you are using a specific alloy with a different density, update this field accordingly.
  4. Click 'Calculate': The calculator will process your inputs based on the aluminium busbar weight calculation formula.

Reading the Results:

  • Main Result (Highlighted): This shows the final calculated weight of the busbar in kilograms (kg).
  • Intermediate Values: You'll see the calculated Cross-sectional Area (m²), Volume (m³), and the Density used (kg/m³). These provide a breakdown of the calculation process.
  • Table Data: A detailed table summarizes all your input parameters and the calculated values.
  • Chart: Visualizes how changes in dimensions might affect the overall weight.

Decision-Making Guidance:

Use the calculated weight to:

  • Accurate Costing: Get precise material costs for project budgeting.
  • Structural Design: Ensure support structures can handle the load.
  • Logistics Planning: Optimize shipping and handling procedures.
  • Material Procurement: Order the exact quantity needed, minimizing waste.

The 'Reset' button clears all fields and restores defaults, while 'Copy Results' allows you to easily transfer the key figures to your reports or documents.

Key Factors That Affect Aluminium Busbar Weight Results

While the aluminium busbar weight calculation formula is precise, several real-world factors influence the final weight and its implications:

  1. Aluminium Alloy Type: Different aluminium alloys (e.g., 6061, 6063, 1100) have slightly varying densities. While 2700 kg/m³ is a good average, precise calculations for critical applications might require the exact density specification for the chosen alloy. This directly impacts the calculated weight.
  2. Dimensional Tolerances: Manufacturing processes have tolerances. A busbar specified as 100mm wide might actually be 99.5mm or 100.5mm. These small variations, especially in thickness or diameter, can accumulate over long lengths, slightly altering the actual weight compared to the theoretical calculation.
  3. Length of Busbar Runs: Longer busbar runs naturally result in higher weights. This is a primary driver of total mass and is linearly proportional in the aluminium busbar weight calculation formula. Planning for support spacing is directly tied to these lengths.
  4. Cross-Sectional Shape and Size: A wider or thicker rectangular busbar, a larger diameter round busbar, or a larger square busbar will have a significantly greater cross-sectional area. This area is a key multiplier in the volume calculation, thus dramatically increasing the weight.
  5. Surface Treatments and Coatings: While typically minimal, processes like anodizing or powder coating add a very thin layer of material. For most standard busbar applications, this added weight is negligible and usually ignored in the primary aluminium busbar weight calculation formula. However, for extremely sensitive weight calculations, it could be a minor consideration.
  6. Joints and Connectors: Busbars are often joined together using connectors, clamps, or welding. The weight calculation typically focuses on individual sections. The total weight of the installation must also account for the weight of these connecting hardware components, which are not part of the basic busbar calculation.
  7. Manufacturing Waste: During fabrication (cutting, drilling, bending), some material is lost as scrap. While not part of the final installed busbar's weight, procurement often needs to account for a percentage of waste based on the calculated weight to ensure sufficient material is ordered.

Frequently Asked Questions (FAQ)

Q1: What is the standard density of aluminium used for busbars?

A: The most common density used for standard aluminium alloys like 6061 and 6063 is approximately 2700 kg/m³. However, specific alloys might have slightly different densities, so it's always best to check the manufacturer's datasheet if precision is critical.

Q2: Does the shape of the busbar affect its weight significantly if the area is the same?

A: No, if the cross-sectional area and length are identical, the shape itself (e.g., round vs. square vs. rectangular) does not change the volume or weight. The aluminium busbar weight calculation formula relies on the area, not the perimeter or specific shape, for volume calculation.

Q3: Should I use millimeters or meters for input dimensions?

A: This calculator expects all dimensions (length, width, thickness, diameter, side length) to be in meters (m) to ensure consistency with the density unit (kg/m³). Please convert your measurements to meters before entering them.

Q4: How accurate is the calculator?

A: The calculator is highly accurate based on the provided aluminium busbar weight calculation formula and input values. Its accuracy is limited only by the precision of the input dimensions and the chosen density value.

Q5: Can I calculate the weight of hollow busbars?

A: This calculator is designed for solid busbars. Calculating the weight of hollow busbars requires subtracting the volume of the internal void from the total volume of the outer shape. This would necessitate additional input fields for inner dimensions or wall thickness.

Q6: What are the implications of weight in electrical design?

A: Weight is critical for structural integrity. Support structures, mounting hardware, and even the building's load-bearing capacity must be designed to accommodate the total weight of the busbar system. Overlooking weight can lead to sagging, component failure, or safety hazards.

Q7: Does temperature affect the weight of aluminium busbars?

A: Temperature primarily affects the dimensions of the busbar due to thermal expansion/contraction. Density also changes slightly with temperature. However, for typical operating temperature ranges in electrical systems, these effects are usually minor and considered negligible for standard weight calculations.

Q8: How does this compare to copper busbar weight?

A: Copper is significantly denser than aluminium (approx. 8960 kg/m³ vs. 2700 kg/m³). Therefore, a copper busbar of the same dimensions will weigh roughly 3.3 times more than an equivalent aluminium busbar. This is a key reason why aluminium is often chosen for large busbar systems where weight is a major concern.

Related Tools and Internal Resources

var canvas = document.getElementById('weightChart'); var ctx = canvas.getContext('2d'); var chart = null; function updateChart(shape, len, w, t, d, s, density) { if (chart) { chart.destroy(); } var area = 0; var labelX = 'Dimension 1 (m)'; var labelY = 'Dimension 2 (m)'; var maxValX = 0; var maxValY = 0; if (shape === 'rectangular') { area = w * t; labelX = 'Width (m)'; labelY = 'Thickness (m)'; maxValX = Math.max(0.1, w * 1.2); maxValY = Math.max(0.01, t * 1.2); } else if (shape === 'round') { area = Math.PI * Math.pow(d / 2, 2); labelX = 'Diameter (m)'; labelY = 'N/A'; maxValX = Math.max(0.1, d * 1.2); maxValY = 0; // Not applicable for a single diameter } else if (shape === 'square') { area = Math.pow(s, 2); labelX = 'Side Length (m)'; labelY = 'N/A'; maxValX = Math.max(0.1, s * 1.2); maxValY = 0; // Not applicable for a single side length } var weights = []; var labels = []; var legendHtml = "; if (shape === 'rectangular') { weights = [ area * len * density, // Total Weight area * density, // Weight per meter length area * 1000 * density // Weight per 1000m length (example comparison) ]; labels = ['Total Weight', 'Weight / Meter', 'Weight / 1000m']; legendHtml = 'Total Weight' + 'Weight / Meter' + 'Weight / 1000m'; } else if (shape === 'round') { weights = [ area * len * density, // Total Weight area * density, // Weight per meter length Math.PI * density // Weight of 1m pipe with 1m diameter (hypothetical baseline) ]; labels = ['Total Weight', 'Weight / Meter', 'Weight / 1m @ 1m Dia']; legendHtml = 'Total Weight' + 'Weight / Meter' + 'Weight / 1m @ 1m Dia'; } else if (shape === 'square') { weights = [ area * len * density, // Total Weight area * density, // Weight per meter length Math.pow(1, 2) * density // Weight of 1m bar with 1m side (hypothetical baseline) ]; labels = ['Total Weight', 'Weight / Meter', 'Weight / 1m @ 1m Side']; legendHtml = 'Total Weight' + 'Weight / Meter' + 'Weight / 1m @ 1m Side'; } var dataPoints = []; for (var i = 0; i < labels.length; i++) { dataPoints.push({ y: weights[i], label: labels[i] }); } var datasets = [{ label: 'Weight (kg)', data: weights, backgroundColor: ['rgba(0, 74, 153, 0.6)', 'rgba(23, 162, 184, 0.6)', 'rgba(108, 117, 125, 0.6)'], borderColor: ['rgba(0, 74, 153, 1)', 'rgba(23, 162, 184, 1)', 'rgba(108, 117, 125, 1)'], borderWidth: 1 }]; var chartData = { labels: labels, datasets: datasets }; var chartOptions = { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: true, title: { display: true, text: 'Weight (kg)' } } }, plugins: { title: { display: true, text: 'Weight Scenarios for Busbar' }, legend: { display: false // Custom legend will be used } } }; chart = new Chart(ctx, { type: 'bar', data: chartData, options: chartOptions }); document.getElementById('chartLegend').innerHTML = legendHtml; } function updateShapeFields() { var shape = document.getElementById('busbarShape').value; document.getElementById('rectangularFields').style.display = (shape === 'rectangular') ? 'block' : 'none'; document.getElementById('roundFields').style.display = (shape === 'round') ? 'block' : 'none'; document.getElementById('squareFields').style.display = (shape === 'square') ? 'block' : 'none'; // Update table visibility document.getElementById('widthRow').style.display = (shape === 'rectangular') ? '' : 'none'; document.getElementById('thicknessRow').style.display = (shape === 'rectangular') ? '' : 'none'; document.getElementById('diameterRow').style.display = (shape === 'round') ? '' : 'none'; document.getElementById('sideLengthRow').style.display = (shape === 'square') ? '' : 'none'; // Reset specific inputs when shape changes if (shape === 'rectangular') { document.getElementById('roundLength').value = ''; document.getElementById('diameter').value = ''; document.getElementById('squareLength').value = ''; document.getElementById('sideLength').value = ''; } else if (shape === 'round') { document.getElementById('length').value = ''; document.getElementById('width').value = ''; document.getElementById('thickness').value = ''; document.getElementById('squareLength').value = ''; document.getElementById('sideLength').value = ''; } else if (shape === 'square') { document.getElementById('length').value = ''; document.getElementById('width').value = ''; document.getElementById('thickness').value = ''; document.getElementById('roundLength').value = ''; document.getElementById('diameter').value = ''; } } function validateInput(inputId, errorId, minValue = null, maxValue = null) { var input = document.getElementById(inputId); var errorDiv = document.getElementById(errorId); var value = parseFloat(input.value); var isValid = true; errorDiv.style.display = 'none'; // Hide error initially if (input.value === '') { errorDiv.textContent = 'This field is required.'; errorDiv.style.display = 'block'; isValid = false; } else if (isNaN(value)) { errorDiv.textContent = 'Please enter a valid number.'; errorDiv.style.display = 'block'; isValid = false; } else { if (minValue !== null && value maxValue) { errorDiv.textContent = 'Value out of range.'; errorDiv.style.display = 'block'; isValid = false; } } return isValid; } function calculateWeight() { var shape = document.getElementById('busbarShape').value; var length, width, thickness, diameter, sideLength, aluminiumDensity; var crossSectionalArea = 0; var volume = 0; var weight = 0; var isValid = true; // Reset errors document.getElementById('lengthError').style.display = 'none'; document.getElementById('widthError').style.display = 'none'; document.getElementById('thicknessError').style.display = 'none'; document.getElementById('roundLengthError').style.display = 'none'; document.getElementById('diameterError').style.display = 'none'; document.getElementById('squareLengthError').style.display = 'none'; document.getElementById('sideLengthError').style.display = 'none'; document.getElementById('aluminiumDensityError').style.display = 'none'; // Get and validate inputs based on shape if (shape === 'rectangular') { length = document.getElementById('length').value; width = document.getElementById('width').value; thickness = document.getElementById('thickness').value; aluminiumDensity = document.getElementById('aluminiumDensity').value; if (!validateInput('length', 'lengthError', 0) || !validateInput('width', 'widthError', 0) || !validateInput('thickness', 'thicknessError', 0) || !validateInput('aluminiumDensity', 'aluminiumDensityError', 0)) { isValid = false; } else { length = parseFloat(length); width = parseFloat(width); thickness = parseFloat(thickness); aluminiumDensity = parseFloat(aluminiumDensity); crossSectionalArea = width * thickness; volume = crossSectionalArea * length; weight = volume * aluminiumDensity; } } else if (shape === 'round') { length = document.getElementById('roundLength').value; diameter = document.getElementById('diameter').value; aluminiumDensity = document.getElementById('aluminiumDensity').value; if (!validateInput('roundLength', 'roundLengthError', 0) || !validateInput('diameter', 'diameterError', 0) || !validateInput('aluminiumDensity', 'aluminiumDensityError', 0)) { isValid = false; } else { length = parseFloat(length); diameter = parseFloat(diameter); aluminiumDensity = parseFloat(aluminiumDensity); crossSectionalArea = Math.PI * Math.pow(diameter / 2, 2); volume = crossSectionalArea * length; weight = volume * aluminiumDensity; } } else if (shape === 'square') { length = document.getElementById('squareLength').value; sideLength = document.getElementById('sideLength').value; aluminiumDensity = document.getElementById('aluminiumDensity').value; if (!validateInput('squareLength', 'squareLengthError', 0) || !validateInput('sideLength', 'sideLengthError', 0) || !validateInput('aluminiumDensity', 'aluminiumDensityError', 0)) { isValid = false; } else { length = parseFloat(length); sideLength = parseFloat(sideLength); aluminiumDensity = parseFloat(aluminiumDensity); crossSectionalArea = Math.pow(sideLength, 2); volume = crossSectionalArea * length; weight = volume * aluminiumDensity; } } // Update results display if (isValid) { document.getElementById('crossSectionalArea').textContent = crossSectionalArea.toFixed(8) + ' m²'; document.getElementById('volume').textContent = volume.toFixed(8) + ' m³'; document.getElementById('densityUsed').textContent = aluminiumDensity.toFixed(0) + ' kg/m³'; document.getElementById('mainResult').textContent = 'Weight: ' + weight.toFixed(2) + ' kg'; // Update table document.getElementById('tableShape').textContent = shape.charAt(0).toUpperCase() + shape.slice(1); document.getElementById('tableDensity').textContent = aluminiumDensity.toFixed(0); document.getElementById('tableArea').textContent = crossSectionalArea.toFixed(8); document.getElementById('tableVolume').textContent = volume.toFixed(8); document.getElementById('tableWeight').textContent = weight.toFixed(2); var lenInput = document.getElementById(shape === 'rectangular' ? 'length' : (shape === 'round' ? 'roundLength' : 'squareLength')); var wInput = document.getElementById('width'); var tInput = document.getElementById('thickness'); var dInput = document.getElementById('diameter'); var sInput = document.getElementById('sideLength'); document.getElementById('tableLength').textContent = lenInput.value !== " ? parseFloat(lenInput.value).toFixed(3) : '–'; document.getElementById('tableWidth').textContent = shape === 'rectangular' && wInput.value !== " ? parseFloat(wInput.value).toFixed(4) : '–'; document.getElementById('tableThickness').textContent = shape === 'rectangular' && tInput.value !== " ? parseFloat(tInput.value).toFixed(4) : '–'; document.getElementById('tableDiameter').textContent = shape === 'round' && dInput.value !== " ? parseFloat(dInput.value).toFixed(4) : '–'; document.getElementById('tableSideLength').textContent = shape === 'square' && sInput.value !== " ? parseFloat(sInput.value).toFixed(4) : '–'; // Update chart updateChart( shape, parseFloat(shape === 'rectangular' ? document.getElementById('length').value : (shape === 'round' ? document.getElementById('roundLength').value : document.getElementById('squareLength').value)), parseFloat(document.getElementById('width').value || 0), parseFloat(document.getElementById('thickness').value || 0), parseFloat(document.getElementById('diameter').value || 0), parseFloat(document.getElementById('sideLength').value || 0), parseFloat(document.getElementById('aluminiumDensity').value) ); } else { // Clear results if validation failed document.getElementById('crossSectionalArea').textContent = '– m²'; document.getElementById('volume').textContent = '– m³'; document.getElementById('densityUsed').textContent = '– kg/m³'; document.getElementById('mainResult').textContent = 'Weight: — kg'; // Clear table document.getElementById('tableShape').textContent = '–'; document.getElementById('tableLength').textContent = '–'; document.getElementById('tableWidth').textContent = '–'; document.getElementById('tableThickness').textContent = '–'; document.getElementById('tableDiameter').textContent = '–'; document.getElementById('tableSideLength').textContent = '–'; document.getElementById('tableDensity').textContent = '–'; document.getElementById('tableArea').textContent = '–'; document.getElementById('tableVolume').textContent = '–'; document.getElementById('tableWeight').textContent = '–'; // Clear chart if (chart) { chart.destroy(); chart = null; } document.getElementById('chartLegend').innerHTML = "; } } function resetCalculator() { document.getElementById('busbarShape').value = 'rectangular'; document.getElementById('length').value = '2.5'; document.getElementById('width').value = '0.1'; document.getElementById('thickness').value = '0.005'; document.getElementById('roundLength').value = "; document.getElementById('diameter').value = "; document.getElementById('squareLength').value = "; document.getElementById('sideLength').value = "; document.getElementById('aluminiumDensity').value = '2700'; updateShapeFields(); // Ensure correct fields are visible calculateWeight(); // Recalculate with defaults } function copyResults() { var shape = document.getElementById('busbarShape').value; var lengthVal = '–'; var widthVal = '–'; var thicknessVal = '–'; var diameterVal = '–'; var sideLengthVal = '–'; var densityVal = document.getElementById('aluminiumDensity').value || '–'; if (shape === 'rectangular') { lengthVal = document.getElementById('length').value || '–'; widthVal = document.getElementById('width').value || '–'; thicknessVal = document.getElementById('thickness').value || '–'; } else if (shape === 'round') { lengthVal = document.getElementById('roundLength').value || '–'; diameterVal = document.getElementById('diameter').value || '–'; } else if (shape === 'square') { lengthVal = document.getElementById('squareLength').value || '–'; sideLengthVal = document.getElementById('sideLength').value || '–'; } var mainResult = document.getElementById('mainResult').textContent; var area = document.getElementById('crossSectionalArea').textContent; var volume = document.getElementById('volume').textContent; var densityUsed = document.getElementById('densityUsed').textContent; var resultsText = "— Aluminium Busbar Weight Calculation Results —\n\n"; resultsText += "Busbar Shape: " + shape.charAt(0).toUpperCase() + shape.slice(1) + "\n"; resultsText += "Length: " + lengthVal + " m\n"; if (widthVal !== '–') resultsText += "Width: " + widthVal + " m\n"; if (thicknessVal !== '–') resultsText += "Thickness: " + thicknessVal + " m\n"; if (diameterVal !== '–') resultsText += "Diameter: " + diameterVal + " m\n"; if (sideLengthVal !== '–') resultsText += "Side Length: " + sideLengthVal + " m\n"; resultsText += "Aluminium Density: " + densityVal + " kg/m³\n\n"; resultsText += "— Calculated Values —\n"; resultsText += "Cross-sectional Area: " + area + "\n"; resultsText += "Volume: " + volume + "\n"; resultsText += "Density Used: " + densityUsed + "\n\n"; resultsText += mainResult + "\n"; resultsText += "\nFormula: Weight = Volume × Density\n"; // Use a temporary textarea to copy text var textarea = document.createElement('textarea'); textarea.value = resultsText; textarea.style.position = 'fixed'; textarea.style.opacity = 0; document.body.appendChild(textarea); textarea.focus(); textarea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied successfully!' : 'Copying failed!'; console.log(msg); // Optional: display a user feedback message } catch (err) { console.log('Unable to copy results.'); } document.body.removeChild(textarea); } // Initialize calculator on load window.onload = function() { updateShapeFields(); resetCalculator(); // Load with default values };

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