Aluminium Rectangular Hollow Section Weight Calculator & Guide
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Calculate Aluminium RHS Weight
Calculation Results
— kg
Formula Used: Weight = (Outer Width – Wall Thickness) * (Outer Height – Wall Thickness) * Wall Thickness * Length * Density
Weight vs. Length
Visualizing how the weight of the aluminium RHS changes with its length.
Standard Aluminium RHS Weights (Example)
| Outer Dimensions (mm) |
Wall (mm) |
Weight per Meter (kg/m) |
Total Weight (6m, kg) |
Example weights for common aluminium rectangular hollow sections.
What is Aluminium Rectangular Hollow Section (RHS) Weight Calculation?
The aluminium rectangular hollow section weight calculator is a specialized tool designed to determine the mass of aluminium profiles with a rectangular cross-section. Aluminium RHS are widely used in various industries due to their excellent strength-to-weight ratio, corrosion resistance, and aesthetic appeal. Accurately calculating their weight is crucial for material estimation, structural design, transportation logistics, and cost management. This calculator simplifies that process by taking key dimensions and the material's density as inputs to provide precise weight outputs.
Who Should Use It?
This calculator is invaluable for a range of professionals and hobbyists, including:
- Engineers and Designers: For structural calculations, load-bearing assessments, and material specification.
- Fabricators and Manufacturers: To estimate raw material requirements, optimize cutting processes, and manage inventory.
- Procurement and Purchasing Departments: For accurate budgeting and cost control when ordering aluminium RHS.
- Logistics and Shipping Companies: To determine shipping weights, plan transportation, and ensure compliance with weight limits.
- Architects and Builders: For incorporating aluminium RHS into building designs and ensuring structural integrity.
- DIY Enthusiasts: For projects involving custom metalwork where precise material quantities are needed.
Common Misconceptions
A common misconception is that all aluminium alloys have the same density. While the density of pure aluminium is around 2700 kg/m³, different alloys can have slightly varying densities due to the addition of other elements. However, for most practical engineering purposes, 2700 kg/m³ is a widely accepted standard. Another misconception is that weight is solely determined by external dimensions; wall thickness plays a critical role in the actual material volume and thus the final weight.
Aluminium Rectangular Hollow Section Weight Formula and Mathematical Explanation
The weight of an aluminium rectangular hollow section is calculated based on its volume and the density of aluminium. The formula essentially finds the volume of the aluminium material itself and then multiplies it by the density.
Step-by-Step Derivation
- Calculate the Cross-Sectional Area of the Aluminium Material: This is the area of the rectangle minus the area of the hollow space inside.
- Calculate the Internal Dimensions: Subtract twice the wall thickness from both the outer width and outer height.
- Calculate the Area of the Hollow Space: Multiply the internal width by the internal height.
- Calculate the Cross-Sectional Area of Aluminium: Subtract the hollow space area from the total outer rectangular area.
- Calculate the Volume of the Aluminium Material: Multiply the cross-sectional area of the aluminium by the length of the section. Ensure units are consistent (e.g., convert mm to meters).
- Calculate the Weight: Multiply the material volume by the density of aluminium.
The Formula Used in the Calculator:
The calculator uses a simplified, yet accurate, approach derived from the above steps:
Weight (kg) = [ (Outer Width (m) – Wall Thickness (m)) * (Outer Height (m) – Wall Thickness (m)) * Wall Thickness (m) * Length (m) ] * Density (kg/m³)
This formula directly calculates the volume of the material forming the hollow section.
Variables Explained:
| Variable |
Meaning |
Unit |
Typical Range |
| Outer Width (Wo) |
The external width of the rectangular hollow section. |
mm (converted to m) |
10 – 500+ |
| Outer Height (Ho) |
The external height of the rectangular hollow section. |
mm (converted to m) |
10 – 500+ |
| Wall Thickness (t) |
The thickness of the aluminium wall. |
mm (converted to m) |
1 – 20+ |
| Length (L) |
The total length of the aluminium section. |
m |
0.1 – 12+ |
| Density (ρ) |
The mass per unit volume of aluminium. |
kg/m³ |
~2700 (standard) |
| Weight (W) |
The total calculated weight of the aluminium section. |
kg |
Varies |
Practical Examples (Real-World Use Cases)
Example 1: Structural Frame Component
A construction company is building a lightweight support frame for a facade. They need to determine the weight of the aluminium RHS required.
- Inputs:
- Outer Width: 100 mm
- Outer Height: 50 mm
- Wall Thickness: 4 mm
- Length: 6 meters
- Density: 2700 kg/m³
Calculation:
- Outer Width = 0.1 m, Outer Height = 0.05 m, Wall Thickness = 0.004 m, Length = 6 m
- Weight = (0.1 – 0.004) * (0.05 – 0.004) * 0.004 * 6 * 2700
- Weight = (0.096) * (0.046) * 0.004 * 6 * 2700
- Weight ≈ 19.14 kg
Interpretation: Each 6-meter length of this specific aluminium RHS weighs approximately 19.14 kg. This information is vital for calculating the total material needed for the frame, estimating transportation costs, and ensuring the supporting structure can handle the load.
Example 2: Custom Furniture Frame
A furniture designer is creating a modern table frame using aluminium RHS and needs to estimate the material weight for costing and handling.
- Inputs:
- Outer Width: 40 mm
- Outer Height: 20 mm
- Wall Thickness: 2 mm
- Length: 3 meters (for one leg assembly)
- Density: 2700 kg/m³
Calculation:
- Outer Width = 0.04 m, Outer Height = 0.02 m, Wall Thickness = 0.002 m, Length = 3 m
- Weight = (0.04 – 0.002) * (0.02 – 0.002) * 0.002 * 3 * 2700
- Weight = (0.038) * (0.018) * 0.002 * 3 * 2700
- Weight ≈ 1.11 kg
Interpretation: Each 3-meter piece for a table leg weighs about 1.11 kg. If the table requires four legs and additional bracing, the designer can easily scale this calculation to determine the total aluminium required, factoring it into the final product price and assembly plan.
How to Use This Aluminium Rectangular Hollow Section Weight Calculator
Using the calculator is straightforward and designed for quick, accurate results.
- Input Dimensions: Enter the precise measurements for the aluminium rectangular hollow section: Outer Width, Outer Height, and Wall Thickness in millimeters (mm).
- Enter Length: Input the total length of the section you are calculating for, in meters (m).
- Adjust Density (Optional): The calculator defaults to the standard aluminium density of 2700 kg/m³. If you are working with a specific alloy with a known different density, you can update this value.
- Click 'Calculate Weight': Press the button to see the results.
How to Read Results
- Primary Result (Total Weight): This is the main output, displayed prominently in kilograms (kg), representing the total weight of the aluminium section based on your inputs.
- Intermediate Values: These provide a breakdown:
- Cross-Sectional Area: The area of the aluminium material in the profile's cross-section (m²).
- Internal Volume: The volume of the hollow space within the section (m³).
- Material Volume: The actual volume of aluminium metal in the section (m³).
- Formula Explanation: A clear statement of the formula used for transparency.
Decision-Making Guidance
The calculated weight helps in several ways:
- Material Procurement: Ensure you order the correct quantity of material, minimizing waste or shortages.
- Structural Integrity: Verify that the chosen section's weight is appropriate for the intended load-bearing capacity and design constraints.
- Cost Estimation: Accurately price projects based on material weight, especially when aluminium is sold by weight.
- Logistics Planning: Estimate shipping weights and plan handling procedures.
Key Factors That Affect Aluminium RHS Weight Results
While the calculator provides precise results based on input dimensions, several real-world factors can influence the actual weight and its implications:
- Alloy Composition: Different aluminium alloys (e.g., 6061, 7075) have slightly different densities. While 2700 kg/m³ is standard, precise calculations for specialized alloys might require their specific density values.
- Manufacturing Tolerances: Real-world manufacturing processes have tolerances. Actual dimensions (width, height, wall thickness) might vary slightly from nominal values, leading to minor deviations in weight.
- Surface Treatments/Coatings: Processes like anodizing or powder coating add a small amount of material and thus weight. For most structural applications, this is negligible, but for highly precise calculations, it might be considered.
- Length Variations: Standard lengths are often produced, but custom lengths might have slight overages or underages, impacting the total weight.
- Temperature Effects: Aluminium expands and contracts with temperature. While this affects dimensions, its impact on weight is negligible as mass remains constant. However, density is temperature-dependent, though this is rarely a factor in standard calculations.
- Internal Surface Finish: While the calculator assumes a smooth internal surface, minor imperfections or variations in the internal wall profile could slightly alter the material volume.
- Wastage during Fabrication: Cutting, machining, and joining processes inevitably lead to material waste. The calculated weight represents the raw material, not the final component weight after fabrication.
Frequently Asked Questions (FAQ)
Q1: What is the standard density of aluminium used for these calculations?
A: The standard density commonly used for aluminium alloys in engineering calculations is approximately 2700 kg/m³. This value is used as the default in the calculator.
Q2: Can this calculator be used for round aluminium tubes?
A: No, this calculator is specifically designed for rectangular hollow sections (RHS). A separate calculator would be needed for round tubes, as the geometric formula differs.
Q3: What units should I use for the inputs?
A: Please use millimeters (mm) for Width, Height, and Wall Thickness, and meters (m) for Length. The density should be in kg/m³. The output will be in kilograms (kg).
Q4: How accurate is the calculation?
A: The calculation is highly accurate based on the provided dimensions and the assumed density. Real-world weight may vary slightly due to manufacturing tolerances and specific alloy variations.
Q5: What does the "Cross-Sectional Area" result represent?
A: It represents the area of the aluminium material itself within the rectangular profile's cross-section, excluding the hollow inner space. It's calculated as (Outer Area) – (Inner Area).
Q6: Does the calculator account for different aluminium alloys?
A: It uses a default density of 2700 kg/m³. You can manually input the density for a specific aluminium alloy if known, allowing for more precise calculations for that particular material.
Q7: What is the purpose of the "Material Volume" result?
A: Material Volume (m³) is the actual volume occupied by the aluminium metal in the section. It's calculated by multiplying the cross-sectional area of the material by the length. Weight is then derived from this volume and density.
Q8: Can I use this for steel RHS?
A: No, this calculator is specifically for aluminium. Steel has a significantly different density (around 7850 kg/m³), so you would need a dedicated steel weight calculator.
Related Tools and Internal Resources
var outerWidthInput = document.getElementById('outerWidth');
var outerHeightInput = document.getElementById('outerHeight');
var wallThicknessInput = document.getElementById('wallThickness');
var lengthInput = document.getElementById('length');
var densityInput = document.getElementById('density');
var resultPrimaryDiv = document.getElementById('result-primary');
var resultVolumeDiv = document.getElementById('result-volume');
var resultInnerVolumeDiv = document.getElementById('result-inner-volume');
var resultMaterialVolumeDiv = document.getElementById('result-material-volume');
var outerWidthError = document.getElementById('outerWidthError');
var outerHeightError = document.getElementById('outerHeightError');
var wallThicknessError = document.getElementById('wallThicknessError');
var lengthError = document.getElementById('lengthError');
var densityError = document.getElementById('densityError');
var weightChart;
var chartContext;
var standardRhsData = [
{ width: 50, height: 25, thickness: 2, length: 6 },
{ width: 75, height: 50, thickness: 3, length: 6 },
{ width: 100, height: 50, thickness: 4, length: 6 },
{ width: 100, height: 100, thickness: 5, length: 6 },
{ width: 150, height: 100, thickness: 6, length: 6 },
{ width: 200, height: 100, thickness: 8, length: 6 }
];
function validateInput(value, errorElement, min, max, name) {
if (value === ") {
errorElement.textContent = name + ' is required.';
errorElement.classList.add('visible');
return false;
}
var numValue = parseFloat(value);
if (isNaN(numValue)) {
errorElement.textContent = name + ' must be a number.';
errorElement.classList.add('visible');
return false;
}
if (numValue <= 0) {
errorElement.textContent = name + ' cannot be zero or negative.';
errorElement.classList.add('visible');
return false;
}
if (min !== undefined && numValue max) {
errorElement.textContent = name + ' must be no more than ' + max + '.';
errorElement.classList.add('visible');
return false;
}
errorElement.textContent = ";
errorElement.classList.remove('visible');
return true;
}
function calculateWeight() {
var ow = parseFloat(outerWidthInput.value);
var oh = parseFloat(outerHeightInput.value);
var wt = parseFloat(wallThicknessInput.value);
var len = parseFloat(lengthInput.value);
var dens = parseFloat(densityInput.value);
var isValid = true;
isValid = validateInput(outerWidthInput.value, outerWidthError, 1, 1000, 'Outer Width') && isValid;
isValid = validateInput(outerHeightInput.value, outerHeightError, 1, 1000, 'Outer Height') && isValid;
isValid = validateInput(wallThicknessInput.value, wallThicknessError, 0.1, 100, 'Wall Thickness') && isValid;
isValid = validateInput(lengthInput.value, lengthError, 0.1, 100, 'Length') && isValid;
isValid = validateInput(densityInput.value, densityError, 100, 10000, 'Density') && isValid;
if (!isValid) {
resultPrimaryDiv.textContent = '– kg';
resultVolumeDiv.innerHTML = '
Cross-Sectional Area: — m²';
resultInnerVolumeDiv.innerHTML = '
Internal Volume: — m³';
resultMaterialVolumeDiv.innerHTML = '
Material Volume: — m³';
updateChart([]);
return;
}
// Convert mm to meters for calculations
var ow_m = ow / 1000;
var oh_m = oh / 1000;
var wt_m = wt / 1000;
// Ensure inner dimensions are not negative
var innerWidth = ow_m – 2 * wt_m;
var innerHeight = oh_m – 2 * wt_m;
if (innerWidth <= 0 || innerHeight <= 0) {
wallThicknessError.textContent = 'Wall thickness is too large for the given outer dimensions.';
wallThicknessError.classList.add('visible');
resultPrimaryDiv.textContent = '– kg';
resultVolumeDiv.innerHTML = '
Cross-Sectional Area: — m²';
resultInnerVolumeDiv.innerHTML = '
Internal Volume: — m³';
resultMaterialVolumeDiv.innerHTML = '
Material Volume: — m³';
updateChart([]);
return;
} else {
wallThicknessError.textContent = ";
wallThicknessError.classList.remove('visible');
}
var crossSectionalAreaAluminium = (ow_m * oh_m) – (innerWidth * innerHeight);
var materialVolume = crossSectionalAreaAluminium * len;
var totalWeight = materialVolume * dens;
resultPrimaryDiv.textContent = totalWeight.toFixed(2) + ' kg';
resultVolumeDiv.innerHTML = '
Cross-Sectional Area: ' + crossSectionalAreaAluminium.toFixed(6) + ' m²';
resultInnerVolumeDiv.innerHTML = '
Internal Volume: ' + (innerWidth * innerHeight * len).toFixed(6) + ' m³';
resultMaterialVolumeDiv.innerHTML = '
Material Volume: ' + materialVolume.toFixed(6) + ' m³';
updateChartData();
populateTable();
}
function resetCalculator() {
outerWidthInput.value = '50';
outerHeightInput.value = '100';
wallThicknessInput.value = '3';
lengthInput.value = '6';
densityInput.value = '2700';
outerWidthError.textContent = ";
outerHeightError.textContent = ";
wallThicknessError.textContent = ";
lengthError.textContent = ";
densityError.textContent = ";
outerWidthError.classList.remove('visible');
outerHeightError.classList.remove('visible');
wallThicknessError.classList.remove('visible');
lengthError.classList.remove('visible');
densityError.classList.remove('visible');
calculateWeight(); // Recalculate with default values
}
function copyResults() {
var mainResult = resultPrimaryDiv.textContent;
var intermediate1 = resultVolumeDiv.textContent.replace('Cross-Sectional Area: ', ");
var intermediate2 = resultInnerVolumeDiv.textContent.replace('Internal Volume: ', ");
var intermediate3 = resultMaterialVolumeDiv.textContent.replace('Material Volume: ', ");
var formula = "Formula: Weight = (Outer Width (m) – Wall Thickness (m)) * (Outer Height (m) – Wall Thickness (m)) * Wall Thickness (m) * Length (m) * Density (kg/m³)";
var assumptions = "Assumptions: Standard Aluminium Density = 2700 kg/m³";
var textToCopy = "Aluminium RHS Weight Calculation Results:\n\n" +
"Total Weight: " + mainResult + "\n" +
"Cross-Sectional Area: " + intermediate1 + "\n" +
"Internal Volume: " + intermediate2 + "\n" +
"Material Volume: " + intermediate3 + "\n\n" +
formula + "\n" + assumptions;
// Use a temporary textarea to copy text
var textArea = document.createElement("textarea");
textArea.value = textToCopy;
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 ? 'Results copied successfully!' : 'Failed to copy results.';
// Optionally display a temporary message to the user
console.log(msg);
} catch (err) {
console.error('Unable to copy', err);
}
document.body.removeChild(textArea);
}
function updateChartData() {
var ow = parseFloat(outerWidthInput.value);
var oh = parseFloat(outerHeightInput.value);
var wt = parseFloat(wallThicknessInput.value);
var dens = parseFloat(densityInput.value);
var chartLabels = [];
var chartData = [];
if (ow > 0 && oh > 0 && wt > 0 && dens > 0) {
for (var i = 0; i 0 && innerHeight > 0) {
var crossSectionalAreaAluminium = (ow_m * oh_m) – (innerWidth * innerHeight);
var materialVolume = crossSectionalAreaAluminium * len_m;
var totalWeight = materialVolume * dens;
chartLabels.push(dataPoint.width + "x" + dataPoint.height + "x" + dataPoint.thickness + "mm (" + len_m + "m)");
chartData.push(totalWeight);
}
}
}
updateChart(chartData, chartLabels);
}
function updateChart(data, labels) {
if (!chartContext) {
var canvas = document.getElementById('weightLengthChart');
chartContext = canvas.getContext('2d');
}
if (weightChart) {
weightChart.destroy();
}
weightChart = new Chart(chartContext, {
type: 'bar', // Changed to bar for better comparison of discrete items
data: {
labels: labels || ["50x25x2", "75x50x3", "100x50x4", "100x100x5", "150x100x6", "200x100x8″], // Default labels
datasets: [{
label: 'Weight (kg) per 6m Length',
data: data || [7.56, 19.14, 25.92, 48.6, 70.2, 102.96], // Example default data
backgroundColor: 'rgba(0, 74, 153, 0.6)',
borderColor: 'rgba(0, 74, 153, 1)',
borderWidth: 1
}]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
y: {
beginAtZero: true,
title: {
display: true,
text: 'Weight (kg)'
}
},
x: {
title: {
display: true,
text: 'Aluminium RHS Dimensions (mm) & Length (m)'
}
}
},
plugins: {
legend: {
display: true,
position: 'top',
},
title: {
display: true,
text: 'Weight Comparison for Standard RHS Sections'
}
}
}
});
}
function populateTable() {
var tableBody = document.getElementById('weightTableBody');
tableBody.innerHTML = "; // Clear existing rows
var ow = parseFloat(outerWidthInput.value);
var oh = parseFloat(outerHeightInput.value);
var wt = parseFloat(wallThicknessInput.value);
var len = parseFloat(lengthInput.value);
var dens = parseFloat(densityInput.value);
if (ow > 0 && oh > 0 && wt > 0 && dens > 0) {
for (var i = 0; i 0 && innerHeight > 0) {
var crossSectionalAreaAluminium = (ow_m * oh_m) – (innerWidth * innerHeight);
var materialVolume = crossSectionalAreaAluminium * len_m;
var weightPerMeter = (materialVolume / len_m) * dens;
var totalWeight = weightPerMeter * len_m;
var row = tableBody.insertRow();
row.insertCell(0).textContent = dataPoint.width + " x " + dataPoint.height + " mm";
row.insertCell(1).textContent = dataPoint.thickness + " mm";
row.insertCell(2).textContent = weightPerMeter.toFixed(3) + " kg/m";
row.insertCell(3).textContent = totalWeight.toFixed(2) + " kg";
}
}
} else {
// Add a row indicating no data if inputs are invalid
var row = tableBody.insertRow();
var cell = row.insertCell(0);
cell.colSpan = 4;
cell.textContent = "Please enter valid dimensions to populate the table.";
cell.style.textAlign = "center";
}
}
// Initialize chart and table on load
window.onload = function() {
// Ensure Chart.js is loaded before trying to use it
if (typeof Chart !== 'undefined') {
chartContext = document.getElementById('weightLengthChart').getContext('2d');
updateChart(); // Initialize with default data
populateTable(); // Initialize table with default data
} else {
console.error("Chart.js library not found. Please ensure it's included.");
}
calculateWeight(); // Calculate with default values on load
};
// Add event listeners for real-time updates
outerWidthInput.addEventListener('input', calculateWeight);
outerHeightInput.addEventListener('input', calculateWeight);
wallThicknessInput.addEventListener('input', calculateWeight);
lengthInput.addEventListener('input', calculateWeight);
densityInput.addEventListener('input', calculateWeight);