How to Calculate Weight of Steel Tube

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How to Calculate Weight of Steel Tube

Accurate Calculations for Construction and Engineering

This page provides a definitive guide and an interactive calculator to help you accurately determine the weight of steel tubes. Whether you're in construction, manufacturing, or engineering, understanding the weight of steel tubing is crucial for material estimation, logistics, and structural integrity. Use our tool to get instant results by inputting the tube's dimensions and steel's density.

Steel Tube Weight Calculator

Enter the outer diameter of the tube in millimeters (mm).
Enter the wall thickness of the tube in millimeters (mm).
Enter the total length of the tube in millimeters (mm).
Mild Steel (7.85 g/cm³) Stainless Steel (7.80 g/cm³) Tool Steel (7.90 g/cm³) High-Carbon Steel (8.00 g/cm³) Select the type of steel or enter a custom density.

Calculation Results

–.– kg
Volume (cm³) –.– cm³
Cross-Sectional Area (cm²) –.– cm²
Weight per Meter (kg/m) –.– kg/m
The weight is calculated by finding the volume of the steel used and multiplying it by the density of steel. Formula: Weight = (Outer Area – Inner Area) * Length * Density. Units are converted for accuracy.

Weight vs. Length for Different Wall Thicknesses

What is Steel Tube Weight Calculation?

The process of calculating the weight of steel tube is a fundamental engineering task used to estimate the material required for a project, manage logistics, and ensure structural integrity. It involves determining the volume of steel present in a tube of specific dimensions (outer diameter, wall thickness, and length) and then multiplying that volume by the density of the steel alloy being used. Accurate weight calculation for steel tubes is essential across various industries, including construction, manufacturing, automotive, and infrastructure development. Understanding how to calculate steel tube weight helps in accurate material procurement, cost estimation, transportation planning, and structural load analysis.

Anyone involved in projects utilizing steel tubes benefits from this calculation. This includes:

  • Engineers: For structural design and load calculations.
  • Procurement Managers: To order the correct quantity of steel, optimizing costs and avoiding shortages.
  • Fabricators and Manufacturers: To plan production processes, manage inventory, and ensure product specifications are met.
  • Logistics and Shipping Personnel: To determine transport needs, costs, and handling requirements.
  • Contractors: For accurate project bidding and material management on construction sites.

A common misconception is that all steel weighs the same. In reality, different steel alloys have slightly varying densities, and minor variations in manufacturing can affect the precise dimensions, all of which can impact the final weight. Furthermore, assuming a simple cylindrical volume calculation without accounting for the hollow core (using only outer diameter) leads to significant overestimation of the weight. This calculator addresses these nuances for a precise result.

Steel Tube Weight Formula and Mathematical Explanation

The calculation of steel tube weight relies on fundamental geometric principles and material properties. The core idea is to find the volume of the steel material itself, not the volume enclosed by the tube. This is achieved by calculating the difference between the volume of a solid cylinder with the outer diameter and the volume of a solid cylinder with the inner diameter (representing the hollow space).

Here's the step-by-step derivation:

  1. Calculate Radii:
    • Outer Radius (R) = Outer Diameter (OD) / 2
    • Inner Radius (r) = Outer Radius (R) – Wall Thickness (t)
  2. Calculate Cross-Sectional Area of Steel (A):
    • Area of outer circle = π * R²
    • Area of inner circle = π * r²
    • Cross-sectional Area of Steel (A) = (Area of outer circle) – (Area of inner circle) = π * (R² – r²)
  3. Convert Units for Consistency:
    • It's crucial to use consistent units. We will convert all dimensions to centimeters (cm) to match the typical density unit (g/cm³).
    • Length (L) in cm = Tube Length (mm) / 10
    • Outer Radius (R) in cm = OD (mm) / 2 / 10
    • Inner Radius (r) in cm = (OD (mm) / 2 – Wall Thickness (mm)) / 10
  4. Calculate Volume of Steel (V):
    • Volume (V) = Cross-sectional Area of Steel (A) * Length (L)
    • V (cm³) = π * (R_cm² – r_cm²) * L_cm
  5. Calculate Weight (W):
    • Weight (W) = Volume (V) * Density (ρ)
    • W (grams) = V (cm³) * ρ (g/cm³)
    • To get the weight in kilograms (kg), divide by 1000:
    • W (kg) = (V (cm³) * ρ (g/cm³)) / 1000

Variables Table

Variables Used in Steel Tube Weight Calculation
Variable Meaning Unit Typical Range
OD Outer Diameter of the tube mm 10 mm – 1000 mm
t Wall Thickness of the tube mm 0.5 mm – 25 mm
L Total Length of the tube mm 100 mm – 12000 mm (12m)
ρ (Density) Density of the steel alloy g/cm³ 7.80 – 8.05 g/cm³
R_cm Outer Radius in centimeters cm 0.5 cm – 50 cm
r_cm Inner Radius in centimeters cm 0.45 cm – 49.5 cm
A Cross-sectional Area of Steel cm² 0.1 cm² – 2000 cm²
V Volume of Steel Material cm³ 10 cm³ – 500,000 cm³
W Total Weight of the Steel Tube kg 0.01 kg – 4000 kg

Practical Examples (Real-World Use Cases)

Let's illustrate the calculation with practical examples to solidify understanding.

Example 1: Structural Steel Beam

A construction company needs to estimate the weight of several steel tubes (e.g., RHS – Rectangular Hollow Section, though calculation here is for circular tubes) to be used as support columns.

  • Tube Type: Circular Steel Tube
  • Outer Diameter (OD): 114.3 mm
  • Wall Thickness (t): 6.0 mm
  • Tube Length (L): 6000 mm (6 meters)
  • Steel Type: Mild Steel (Density ≈ 7.85 g/cm³)

Calculation:

  • R_cm = (114.3 / 2) / 10 = 5.715 cm
  • r_cm = (5.715 – 6.0) / 10 = -0.0285 cm — Wait! This implies the wall thickness is larger than the radius. Let's adjust to a realistic thickness for this OD. Let's use 6mm thickness.
  • Corrected r_cm = (5.715 – 6.0) This is mathematically impossible if wall thickness is greater than radius. Let's assume the user inputs are valid. The calculator handles this. Let's assume an OD of 100mm and thickness of 5mm for a clearer example.

Revised Example 1: Standard Steel Pipe

  • Tube Type: Circular Steel Tube
  • Outer Diameter (OD): 100 mm
  • Wall Thickness (t): 5.0 mm
  • Tube Length (L): 6000 mm (6 meters)
  • Steel Type: Mild Steel (Density ≈ 7.85 g/cm³)

Calculation:

  • R_cm = (100 / 2) / 10 = 5.0 cm
  • r_cm = (5.0 – 5.0) / 10 = 0.0 cm. This calculation implies an inner diameter of 0. Let's adjust the example for clarity again.

Revised Example 1: More Realistic Steel Pipe

  • Tube Type: Circular Steel Tube
  • Outer Diameter (OD): 100 mm
  • Wall Thickness (t): 8.0 mm
  • Tube Length (L): 6000 mm (6 meters)
  • Steel Type: Mild Steel (Density ≈ 7.85 g/cm³)

Calculation:

  • R_cm = (100 / 2) / 10 = 5.0 cm
  • r_cm = (5.0 – 8.0) / 10 = -0.3 cm. This is still problematic. The wall thickness cannot be larger than the outer radius. Let's correct the example to be physically possible.

Final Revised Example 1: Standard Structural Pipe

  • Tube Type: Circular Steel Tube
  • Outer Diameter (OD): 114.3 mm
  • Wall Thickness (t): 8.0 mm
  • Tube Length (L): 6000 mm (6 meters)
  • Steel Type: Mild Steel (Density ≈ 7.85 g/cm³)

Calculation Steps using the Calculator's Logic:

  1. Convert OD to cm: 114.3 mm / 10 = 11.43 cm
  2. Convert Thickness to cm: 8.0 mm / 10 = 0.8 cm
  3. Convert Length to cm: 6000 mm / 10 = 600 cm
  4. Outer Radius (R_cm) = 11.43 cm / 2 = 5.715 cm
  5. Inner Radius (r_cm) = R_cm – Thickness_cm = 5.715 cm – 0.8 cm = 4.915 cm
  6. Cross-sectional Area (A) = π * (R_cm² – r_cm²) = 3.14159 * (5.715² – 4.915²) = 3.14159 * (32.661225 – 24.157225) = 3.14159 * 8.504 = 26.718 cm²
  7. Volume (V) = A * L_cm = 26.718 cm² * 600 cm = 16030.8 cm³
  8. Weight (kg) = (V * Density) / 1000 = (16030.8 cm³ * 7.85 g/cm³) / 1000 = 125841.78 g / 1000 = 125.84 kg

Interpretation: Each 6-meter section of this steel tube weighs approximately 125.84 kg. This is crucial for estimating the total weight of steel needed for the columns and for planning crane capacity and transportation.

Example 2: Custom Fabrication Project

A workshop is fabricating a custom frame using smaller diameter stainless steel tubes.

  • Tube Type: Circular Steel Tube
  • Outer Diameter (OD): 42.4 mm
  • Wall Thickness (t): 2.0 mm
  • Tube Length (L): 3000 mm (3 meters)
  • Steel Type: Stainless Steel (Density ≈ 7.80 g/cm³)

Calculation Steps using the Calculator's Logic:

  1. Convert OD to cm: 42.4 mm / 10 = 4.24 cm
  2. Convert Thickness to cm: 2.0 mm / 10 = 0.2 cm
  3. Convert Length to cm: 3000 mm / 10 = 300 cm
  4. Outer Radius (R_cm) = 4.24 cm / 2 = 2.12 cm
  5. Inner Radius (r_cm) = R_cm – Thickness_cm = 2.12 cm – 0.2 cm = 1.92 cm
  6. Cross-sectional Area (A) = π * (R_cm² – r_cm²) = 3.14159 * (2.12² – 1.92²) = 3.14159 * (4.4944 – 3.6864) = 3.14159 * 0.808 = 2.538 cm²
  7. Volume (V) = A * L_cm = 2.538 cm² * 300 cm = 761.4 cm³
  8. Weight (kg) = (V * Density) / 1000 = (761.4 cm³ * 7.80 g/cm³) / 1000 = 5938.92 g / 1000 = 5.94 kg

Interpretation: Each 3-meter piece of this stainless steel tube weighs approximately 5.94 kg. This information helps in ordering the exact amount of material for the fabrication, ensuring efficient use of expensive stainless steel and accurate costing for the custom frame.

How to Use This Steel Tube Weight Calculator

Our interactive calculator is designed for ease of use, providing instant weight estimations for steel tubes. Follow these simple steps:

  1. Enter Outer Diameter (OD): Input the exact outer diameter of the steel tube in millimeters (mm).
  2. Enter Wall Thickness: Provide the wall thickness of the tube in millimeters (mm). Ensure this value is less than half of the outer diameter.
  3. Enter Tube Length: Specify the total length of the steel tube in millimeters (mm).
  4. Select Steel Density: Choose the type of steel from the dropdown menu (Mild Steel, Stainless Steel, etc.) or input a custom density if known. The default is Mild Steel (7.85 g/cm³).
  5. Click 'Calculate': The calculator will instantly display the results.

Reading the Results:

  • Primary Result (Total Weight): This is the highlighted, main output showing the total calculated weight of the steel tube in kilograms (kg).
  • Volume (cm³): Displays the total volume of the steel material in cubic centimeters.
  • Cross-Sectional Area (cm²): Shows the area of the steel material in the tube's cross-section, in square centimeters.
  • Weight per Meter (kg/m): Indicates the approximate weight of the tube for every meter of its length.

Decision-Making Guidance:

  • Use the 'Weight per Meter' to quickly estimate weights for different lengths without re-entering all data.
  • Compare the calculated weights against supplier specifications or structural load requirements.
  • Ensure the wall thickness is physically possible (less than the outer radius). The calculator will indicate errors for invalid inputs.
  • The 'Copy Results' button allows you to easily transfer the calculated values and key assumptions to reports or other documents.
  • Use the 'Reset' button to clear all fields and start fresh.

Key Factors That Affect Steel Tube Weight Results

While the calculator uses standard formulas, several real-world factors can influence the actual weight of a steel tube:

  1. Steel Alloy Composition: Different steel alloys (e.g., carbon steel, stainless steel, alloy steel) have slightly different densities. While we provide common values, specific grades can vary. For critical applications, use the precise density for the exact alloy.
  2. Manufacturing Tolerances: Steel tubes are manufactured within specific tolerance ranges for dimensions (OD, wall thickness). Minor deviations from the nominal values can lead to slight variations in weight. Our calculator uses nominal values.
  3. Tube Shape (Round vs. Other): This calculator is specifically for circular tubes. Hollow Structural Sections (HSS) like square or rectangular tubes have different formulas for calculating their cross-sectional area and volume.
  4. Internal Coatings or Linings: If tubes are lined with materials like plastic or concrete, or coated with significant layers of paint or galvanization, these will add to the overall weight, which is not accounted for here.
  5. Temperature Effects: Steel expands when heated and contracts when cooled. While this effect is minimal for typical ambient temperature calculations, it can be relevant in extreme high-temperature applications. Density also slightly changes with temperature.
  6. Wall Thickness Consistency: While ideally uniform, some manufacturing processes might result in slight variations in wall thickness along the length of the tube, particularly in seamless tubes.
  7. Accuracy of Measurement: The precision of the input measurements (OD, thickness, length) directly impacts the accuracy of the calculated weight. Ensure your measurements are taken carefully.

Frequently Asked Questions (FAQ)

  • Q1: What is the standard density of steel?

    The density of steel typically ranges from 7.75 to 8.05 grams per cubic centimeter (g/cm³). Mild steel is commonly around 7.85 g/cm³, while stainless steel is often slightly lower, around 7.80 g/cm³. The exact value depends on the specific alloy composition.

  • Q2: Can I use this calculator for square or rectangular steel tubes?

    No, this calculator is specifically designed for circular steel tubes. The formula for calculating the volume and weight of square or rectangular hollow sections is different, requiring calculations based on outer width, outer height, and wall thickness.

  • Q3: What units should I use for the input dimensions?

    The calculator requires all dimensions (Outer Diameter, Wall Thickness, Tube Length) to be entered in millimeters (mm). The output weight is provided in kilograms (kg).

  • Q4: What happens if the wall thickness is too large for the outer diameter?

    If the wall thickness entered is greater than or equal to the outer radius (i.e., OD/2), the calculation is physically impossible. The calculator will display an error message for the affected input field.

  • Q5: How accurate is the calculated weight?

    The accuracy depends on the precision of your input measurements and the selected steel density. The formula itself is geometrically sound. For critical applications, always verify with supplier specifications and consider manufacturing tolerances.

  • Q6: Does the calculator account for different steel grades like galvanised or coated steel?

    No, this calculator determines the weight of the steel material itself. It does not include the weight added by galvanization, paint, or other coatings. If these are significant, you would need to add their estimated weight separately.

  • Q7: What does "Weight per Meter" mean?

    This value indicates the weight of the steel tube for each meter of its length. It's useful for quick estimations or when dealing with lengths not specified in the input (e.g., calculating the weight of 10 meters of pipe if you entered 1 meter initially).

  • Q8: Can I input custom density values?

    Yes, while the calculator provides common steel densities, you can use the formula provided or adjust the density input if you have a specific value for a particular steel alloy, ensuring it's in g/cm³.

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function validateInput(id, errorId, minValue, maxValue) { var input = document.getElementById(id); var errorSpan = document.getElementById(errorId); var value = parseFloat(input.value); var isValid = true; errorSpan.style.display = 'none'; // Hide error by default if (isNaN(value) || input.value.trim() === "") { errorSpan.textContent = "This field is required."; errorSpan.style.display = 'block'; isValid = false; } else if (value <= 0) { errorSpan.textContent = "Value must be positive."; errorSpan.style.display = 'block'; isValid = false; } else if (minValue !== null && value maxValue) { errorSpan.textContent = "Value is too high."; errorSpan.style.display = 'block'; isValid = false; } // Specific check for wall thickness vs OD if (id === 'wallThickness') { var odInput = document.getElementById('outerDiameter'); var odValue = parseFloat(odInput.value); if (!isNaN(odValue) && value >= odValue / 2) { errorSpan.textContent = "Wall thickness must be less than half the outer diameter."; errorSpan.style.display = 'block'; isValid = false; } } return isValid; } function calculateWeight() { var od = parseFloat(document.getElementById("outerDiameter").value); var thickness = parseFloat(document.getElementById("wallThickness").value); var length = parseFloat(document.getElementById("tubeLength").value); var density = parseFloat(document.getElementById("steelDensity").value); var isValid = true; isValid = validateInput('outerDiameter', 'outerDiameterError', 0.1, null) && isValid; isValid = validateInput('wallThickness', 'wallThicknessError', 0.1, null) && isValid; isValid = validateInput('tubeLength', 'tubeLengthError', 1, null) && isValid; // Additional check for wall thickness relationship var odInput = document.getElementById('outerDiameter'); var thicknessInput = document.getElementById('wallThickness'); var odValue = parseFloat(odInput.value); var thicknessValue = parseFloat(thicknessInput.value); if (!isNaN(odValue) && !isNaN(thicknessValue) && thicknessValue >= odValue / 2) { document.getElementById('wallThicknessError').textContent = "Wall thickness must be less than half the outer diameter."; document.getElementById('wallThicknessError').style.display = 'block'; isValid = false; } if (!isValid) { document.getElementById("primaryResult").textContent = "–.– kg"; document.getElementById("volumeResult").textContent = "–.– cm³"; document.getElementById("areaResult").textContent = "–.– cm²"; document.getElementById("weightPerMeterResult").textContent = "–.– kg/m"; updateChart([], []); // Clear chart return; } // Convert mm to cm for calculations var od_cm = od / 10; var thickness_cm = thickness / 10; var length_cm = length / 10; var outerRadius_cm = od_cm / 2; var innerRadius_cm = outerRadius_cm – thickness_cm; // Ensure inner radius is not negative (e.g., if thickness is very close to OD/2) if (innerRadius_cm < 0) innerRadius_cm = 0; var crossSectionalArea_cm2 = Math.PI * (Math.pow(outerRadius_cm, 2) – Math.pow(innerRadius_cm, 2)); var volume_cm3 = crossSectionalArea_cm2 * length_cm; var weight_grams = volume_cm3 * density; var weight_kg = weight_grams / 1000; var weight_per_meter_kg = (volume_cm3 / length_cm) * density / 1000 * 100; // (Area * Density) * 100 cm/m document.getElementById("primaryResult").textContent = weight_kg.toFixed(2) + " kg"; document.getElementById("volumeResult").textContent = volume_cm3.toFixed(2) + " cm³"; document.getElementById("areaResult").textContent = crossSectionalArea_cm2.toFixed(2) + " cm²"; document.getElementById("weightPerMeterResult").textContent = weight_per_meter_kg.toFixed(2) + " kg/m"; updateChart(); } function resetCalculator() { document.getElementById("outerDiameter").value = "114.3"; document.getElementById("wallThickness").value = "8.0"; document.getElementById("tubeLength").value = "6000"; document.getElementById("steelDensity").value = "7.85"; // Default to Mild Steel // Clear error messages document.getElementById('outerDiameterError').style.display = 'none'; document.getElementById('wallThicknessError').style.display = 'none'; document.getElementById('tubeLengthError').style.display = 'none'; calculateWeight(); } function copyResults() { var od = document.getElementById("outerDiameter").value; var thickness = document.getElementById("wallThickness").value; var length = document.getElementById("tubeLength").value; var densityValue = document.getElementById("steelDensity").value; var densityText = document.getElementById("steelDensity").options[document.getElementById("steelDensity").selectedIndex].text; var primaryResult = document.getElementById("primaryResult").textContent; var volumeResult = document.getElementById("volumeResult").textContent; var areaResult = document.getElementById("areaResult").textContent; var weightPerMeterResult = document.getElementById("weightPerMeterResult").textContent; var resultsText = "Steel Tube Weight Calculation Results:\n\n"; resultsText += "Inputs:\n"; resultsText += "- Outer Diameter (OD): " + od + " mm\n"; resultsText += "- Wall Thickness: " + thickness + " mm\n"; resultsText += "- Tube Length: " + length + " mm\n"; resultsText += "- Steel Density: " + densityText + " (" + densityValue + " g/cm³)\n\n"; resultsText += "Outputs:\n"; resultsText += "- Total Weight: " + primaryResult + "\n"; resultsText += "- Volume: " + volumeResult + "\n"; resultsText += "- Cross-Sectional Area: " + areaResult + "\n"; resultsText += "- Weight per Meter: " + weightPerMeterResult + "\n"; // Copy to clipboard var textArea = document.createElement("textarea"); textArea.value = resultsText; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied!' : 'Copying failed!'; // Optionally show a temporary message to the user alert(msg); } catch (err) { console.error('Unable to copy results', err); alert('Copying failed.'); } document.body.removeChild(textArea); } // Charting Logic function updateChart() { var canvas = document.getElementById('weightChart'); if (!canvas) return; // Canvas not found var ctx = canvas.getContext('2d'); var chartExists = Chart.getChart(canvas); // Check if chart instance exists if (chartExists) { chartExists.destroy(); // Destroy previous chart instance } var od = parseFloat(document.getElementById("outerDiameter").value); var baseThickness = parseFloat(document.getElementById("wallThickness").value); var length = parseFloat(document.getElementById("tubeLength").value); var density = parseFloat(document.getElementById("steelDensity").value); var dataPoints = 5; var lengths = []; var weights = []; var weightsHigherThickness = []; var weightsLowerThickness = []; // Simulate different thicknesses around the base thickness var thicknessesToCompare = [ Math.max(0.5, baseThickness * 0.8), // 20% less, min 0.5mm baseThickness, // Base thickness baseThickness * 1.2 // 20% more ]; // Generate sample lengths for the x-axis var maxChartLength = length * 1.5; // Show up to 150% of input length for (var i = 0; i < dataPoints; i++) { lengths.push((maxChartLength / (dataPoints – 1)) * i); } // Calculate weights for each thickness at each sample length lengths.forEach(function(currentLength) { var weightsForLength = []; thicknessesToCompare.forEach(function(currentThickness) { if (!isNaN(od) && !isNaN(currentThickness) && !isNaN(currentLength) && !isNaN(density)) { var od_cm = od / 10; var thickness_cm = currentThickness / 10; var length_cm = currentLength / 10; if (thickness_cm < od_cm / 2) { var outerRadius_cm = od_cm / 2; var innerRadius_cm = outerRadius_cm – thickness_cm; if (innerRadius_cm < 0) innerRadius_cm = 0; var crossSectionalArea_cm2 = Math.PI * (Math.pow(outerRadius_cm, 2) – Math.pow(innerRadius_cm, 2)); var volume_cm3 = crossSectionalArea_cm2 * length_cm; var weight_kg = (volume_cm3 * density) / 1000; weightsForLength.push(weight_kg); } else { weightsForLength.push(0); // Invalid thickness for this OD } } else { weightsForLength.push(0); // Invalid input } }); weights.push(weightsForLength); }); // Transpose the weights array for chart datasets var transposedWeights = [[], [], []]; for (var i = 0; i < thicknessesToCompare.length; i++) { for (var j = 0; j < lengths.length; j++) { transposedWeights[i].push(weights[j][i]); } } var chartData = { labels: lengths.map(function(l) { return l.toFixed(0) + " mm"; }), datasets: [ { label: 'Thickness: ' + thicknessesToCompare[0].toFixed(1) + ' mm', data: transposedWeights[0], borderColor: '#007bff', backgroundColor: 'rgba(0, 123, 255, 0.1)', fill: false, tension: 0.1 }, { label: 'Thickness: ' + thicknessesToCompare[1].toFixed(1) + ' mm', data: transposedWeights[1], borderColor: '#28a745', backgroundColor: 'rgba(40, 167, 69, 0.1)', fill: false, tension: 0.1 }, { label: 'Thickness: ' + thicknessesToCompare[2].toFixed(1) + ' mm', data: transposedWeights[2], borderColor: '#ffc107', backgroundColor: 'rgba(255, 193, 7, 0.1)', fill: false, tension: 0.1 } ] }; new Chart(ctx, { type: 'line', data: chartData, options: { responsive: true, maintainAspectRatio: true, scales: { x: { title: { display: true, text: 'Tube Length (mm)' } }, y: { title: { display: true, text: 'Weight (kg)' }, beginAtZero: true } }, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Steel Tube Weight vs. Length' } } } }); } // Initialize calculator and chart on load window.onload = function() { resetCalculator(); // Set default values updateChart(); // Draw initial chart };

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