Tube Weight Calculation Formula

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Tube Weight Calculation Formula: Expert Guide & Calculator

Accurately calculate the weight of tubes using our comprehensive formula and interactive tool. Essential for engineers, fabricators, and procurement professionals.

Tube Weight Calculator

Density of the tube material (e.g., steel ~7.85 g/cm³, aluminum ~2.7 g/cm³).
Measured from the outside surface.
The thickness of the tube's wall.
The total length of the tube.
Millimeters (mm) Centimeters (cm) Meters (m) Inches (in) Feet (ft) Select the unit for your measurements.
g/cm³ kg/m³ lb/in³ lb/ft³ Select the unit for material density.

Calculation Results

Cross-Sectional Area (A)
Volume (V)
Weight per Unit Length
Total Tube Weight
The tube weight is calculated by finding the cross-sectional area, multiplying by the length to get the volume, and then multiplying the volume by the material's density.

Weight vs. Length for Varying Wall Thickness

Key Variables and Units
Variable Meaning Unit (Based on Selection) Typical Range
Density (ρ) Mass per unit volume of the material g/cm³ 1.0 – 20.0
Outer Diameter (D) The widest measurement across the tube's exterior mm 10.0 – 1000.0
Wall Thickness (t) The thickness of the material forming the tube wall mm 0.5 – 50.0
Tube Length (L) The overall linear measurement of the tube mm 100 – 10000
Cross-Sectional Area (A) The area of the ring shape formed by the tube's walls mm² 10.0 – 10000.0
Volume (V) The total space occupied by the tube material cm³ 1000.0 – 1,000,000.0
Weight per Unit Length The weight of the tube for a specific unit of its length kg/m 0.1 – 100.0
Total Tube Weight The overall mass of the entire tube kg 0.1 – 1000.0

What is Tube Weight Calculation?

Tube weight calculation is the process of determining the mass of a tubular structure based on its dimensions, material properties, and length. This calculation is fundamental in various industries, including manufacturing, construction, engineering, and logistics, where accurate material estimation is crucial for cost control, structural integrity, and efficient project planning. Understanding the precise weight of tubes helps in selecting appropriate handling equipment, optimizing material orders, and ensuring compliance with load-bearing specifications.

Who Should Use It?

Professionals and individuals involved in projects utilizing pipes and tubes commonly rely on tube weight calculations. This includes:

  • Engineers: For structural design, load calculations, and material selection.
  • Fabricators and Manufacturers: To estimate material costs, optimize cutting processes, and manage inventory.
  • Procurement Specialists: For accurate purchasing of raw materials and finished components.
  • Logistics and Shipping Personnel: To determine transportation costs and plan handling procedures.
  • DIY Enthusiasts: For smaller projects where material estimation is needed.

Common Misconceptions

A common misconception is that all tubes of the same outer diameter and length weigh the same. This is incorrect, as the wall thickness and the material's density significantly influence the final weight. Another misunderstanding is overlooking the impact of different units (metric vs. imperial) if not converted correctly, leading to substantial errors. Lastly, assuming standard densities without verifying can lead to inaccurate estimations, especially when dealing with specialized alloys.

Tube Weight Calculation Formula and Mathematical Explanation

The core principle behind calculating tube weight is determining the volume of the material used and multiplying it by the material's density. For a hollow cylindrical tube, this involves calculating the volume of the metal or material that makes up the tube walls.

The standard formula for the weight of a tube is derived as follows:

  1. Calculate the Cross-Sectional Area (A) of the tube wall: This is the area of the ring formed by the outer and inner diameters. It can be calculated as the area of the outer circle minus the area of the inner circle.
    Inner Diameter (d) = Outer Diameter (D) – 2 * Wall Thickness (t)
    Area of Outer Circle = π * (D/2)²
    Area of Inner Circle = π * (d/2)²
    Cross-Sectional Area (A) = π/4 * (D² – d²)
    Alternatively, and often simpler for practical calculation:
    A = π * ( (D/2)² – ((D-2t)/2)² )
    Or, by expanding:
    A = π * t * (D – t) (This simplified approximation is sometimes used, but the D²-d² formula is more accurate for precise calculations.) We will use the more precise form derived from the difference of circles: A = π/4 * (D² – (D – 2t)²)
  2. Calculate the Volume (V) of the tube material: Multiply the cross-sectional area by the length of the tube.
    V = A * L
  3. Calculate the Total Weight (W): Multiply the volume by the density (ρ) of the material. Ensure units are consistent!
    W = V * ρ

Variable Explanations

Understanding the variables is key to accurate tube weight calculation. Here's a breakdown:

Variable Meaning Unit Typical Range
ρ (rho) Material Density e.g., g/cm³, kg/m³, lb/in³, lb/ft³ 1.0 – 20.0 (depends heavily on material)
D Outer Diameter e.g., mm, cm, m, in, ft 10.0 – 1000.0
t Wall Thickness e.g., mm, cm, m, in, ft 0.5 – 50.0
L Tube Length e.g., mm, cm, m, in, ft 100 – 10000
A Cross-Sectional Area Squared units of D, t, L (e.g., mm², cm², in²) 10.0 – 10000.0
V Volume Cubic units of D, t, L (e.g., cm³, m³, in³) 1000.0 – 1,000,000.0
W Total Weight Mass units (e.g., kg, g, lb) 0.1 – 1000.0

Note: Units must be consistent. For example, if density is in g/cm³, then dimensions (D, t, L) should ideally be in cm to yield volume in cm³ and weight in grams. The calculator handles unit conversions internally.

Practical Examples (Real-World Use Cases)

Let's illustrate the tube weight calculation formula with practical examples.

Example 1: Steel Pipe for Structural Support

A construction company needs to order steel pipes for a support structure. They require a pipe with specific dimensions and need to estimate the weight for transportation planning.

  • Material: Mild Steel
  • Material Density (ρ): 7.85 g/cm³
  • Outer Diameter (D): 60.3 mm
  • Wall Thickness (t): 4.0 mm
  • Tube Length (L): 6000 mm
  • Units: All dimensions in mm. Density in g/cm³. We need to convert density for consistency.

Conversion: To use mm for dimensions, we convert density to g/mm³. 1 cm = 10 mm, so 1 cm³ = (10 mm)³ = 1000 mm³.
Density (ρ) = 7.85 g/cm³ = 7.85 g / 1000 mm³ = 0.00785 g/mm³.

Calculation Steps:

  1. Inner Diameter (d): d = D – 2t = 60.3 mm – 2 * 4.0 mm = 60.3 mm – 8.0 mm = 52.3 mm
  2. Cross-Sectional Area (A): A = π/4 * (D² – d²) = π/4 * (60.3² – 52.3²) = π/4 * (3636.09 – 2735.29) = π/4 * 900.8 ≈ 707.3 mm²
  3. Volume (V): V = A * L = 707.3 mm² * 6000 mm = 4,243,800 mm³
  4. Total Weight (W): W = V * ρ = 4,243,800 mm³ * 0.00785 g/mm³ ≈ 33,314 grams
  5. Convert to Kilograms: W ≈ 33,314 g / 1000 g/kg ≈ 33.31 kg

Result Interpretation: Each 6-meter length of this specific steel pipe weighs approximately 33.31 kg. This weight is critical for load calculations on transport vehicles and for workers handling the pipes.

Example 2: Aluminum Tube for an Aerospace Frame

An aerospace manufacturer is designing a lightweight frame using aluminum tubes and needs to calculate the weight for stress analysis.

  • Material: Aluminum Alloy (e.g., 6061)
  • Material Density (ρ): 2.7 g/cm³
  • Outer Diameter (D): 2 inches
  • Wall Thickness (t): 0.120 inches
  • Tube Length (L): 10 feet
  • Units: Imperial (inches, feet). Density in g/cm³. We need consistent imperial units.

Conversion: Convert density to lb/in³ for easier calculation with imperial units. 1 g/cm³ ≈ 0.036127 lb/in³.
Density (ρ) = 2.7 g/cm³ * 0.036127 lb/in³/ (g/cm³) ≈ 0.09754 lb/in³.

Convert Length to inches: L = 10 feet * 12 inches/foot = 120 inches.

Calculation Steps:

  1. Inner Diameter (d): d = D – 2t = 2 in – 2 * 0.120 in = 2 in – 0.240 in = 1.760 in
  2. Cross-Sectional Area (A): A = π/4 * (D² – d²) = π/4 * (2² – 1.760²) = π/4 * (4 – 3.0976) = π/4 * 0.9024 ≈ 0.7088 in²
  3. Volume (V): V = A * L = 0.7088 in² * 120 in = 85.056 in³
  4. Total Weight (W): W = V * ρ = 85.056 in³ * 0.09754 lb/in³ ≈ 8.30 lb

Result Interpretation: Each 10-foot length of this aluminum tube weighs approximately 8.30 pounds. This low weight is crucial for aerospace applications where minimizing mass is paramount.

How to Use This Tube Weight Calculator

Our interactive tube weight calculator simplifies the complex calculations involved in determining the mass of tubes. Follow these simple steps:

  1. Input Material Density: Enter the density of the material your tube is made from. Common examples include steel (around 7.85 g/cm³) and aluminum (around 2.7 g/cm³). Select the correct units for your density value (e.g., g/cm³, kg/m³, lb/in³).
  2. Enter Dimensions: Input the Outer Diameter (D), Wall Thickness (t), and Tube Length (L) of your tube.
  3. Select Units: Choose the units (mm, cm, m, inches, feet) that correspond to your measurements for D, t, and L. Ensure consistency.
  4. Click Calculate: Press the "Calculate Weight" button. The calculator will instantly display the results.

How to Read Results

  • Cross-Sectional Area (A): This is the area of the material in the tube's end profile.
  • Volume (V): The total amount of space the tube's material occupies.
  • Weight per Unit Length: Useful for comparing different tube sizes or materials on a standardized basis (e.g., kg per meter).
  • Total Tube Weight: The final calculated mass of the entire tube.

Decision-Making Guidance

Use the calculated weight to:

  • Optimize Procurement: Order the correct amount of material, avoiding over-or under-ordering.
  • Plan Logistics: Estimate shipping costs and requirements based on total weight.
  • Ensure Structural Integrity: Verify that structural components can support the calculated weight of the tubes.
  • Compare Materials: Easily compare the weight efficiency of different materials for the same dimensions.

Key Factors That Affect Tube Weight Results

Several factors significantly influence the accuracy and outcome of your tube weight calculations. Understanding these is crucial for precise estimations:

  1. Material Density: This is paramount. Different materials have vastly different densities. For instance, lead is much denser than aluminum, meaning a lead tube of the same dimensions will be significantly heavier. Always use accurate density values for the specific alloy or material grade.
  2. Dimensional Accuracy: Slight variations in outer diameter, wall thickness, or length can accumulate to noticeable differences in total weight. Precise measurements are essential. Manufacturing tolerances can play a role here.
  3. Unit Consistency: The most common source of error is inconsistent units. If density is in g/cm³, dimensions must be in cm. If you mix units (e.g., diameter in inches, length in feet, density in kg/m³), your result will be incorrect unless proper conversions are applied.
  4. Tube Type (Seamless vs. Welded): While the basic formula applies, the manufacturing process can slightly affect density or introduce minor variations in wall thickness uniformity, potentially leading to small weight discrepancies. Welded tubes might have a slightly different density profile near the weld seam.
  5. Hollow vs. Solid Sections: This calculator is for hollow tubes. Calculating the weight of solid rods or bars uses a simpler volume formula (Area * Length, where Area is a solid circle).
  6. Temperature Effects: While usually negligible for most engineering applications, extreme temperature variations can cause materials to expand or contract, slightly altering dimensions and thus weight. This is typically considered only in highly specialized scenarios.
  7. Surface Treatments/Coatings: Plating, galvanizing, or painting adds a small amount of weight. If precision is critical, the weight of coatings should be accounted for separately.

Frequently Asked Questions (FAQ)

Q1: What is the difference between tube weight and pipe weight?
While often used interchangeably, 'pipe' usually refers to conduits for fluids/gases, often with standardized schedules (wall thicknesses). 'Tube' typically refers to structural applications. The calculation method (weight = volume * density) is the same, but standard sizes and tolerances might differ.
Q2: Can I use this calculator for square or rectangular tubes?
No, this calculator is specifically for round (circular) tubes. The cross-sectional area calculation is different for square or rectangular profiles.
Q3: How accurate is the tube weight calculation formula?
The formula itself is highly accurate, assuming precise input values for dimensions and density. The accuracy of the result depends directly on the accuracy of your inputs and the material's known density.
Q4: What is the standard density of steel?
The density of steel varies slightly depending on its alloy composition, but a common approximate value is 7.85 grams per cubic centimeter (g/cm³) or 490 pounds per cubic foot (lb/ft³).
Q5: Does the calculator account for weight per foot or per meter?
Yes, the calculator provides "Weight per Unit Length" as an intermediate result, which can be interpreted as weight per foot, per meter, etc., based on the input units and density units selected.
Q6: What if my tube has a non-uniform wall thickness?
This calculator assumes a uniform wall thickness. For tubes with significant non-uniformity, you would need to use an average wall thickness or perform more complex calculations, potentially segmenting the tube into sections with uniform thickness.
Q7: How do I convert between different units (e.g., kg to lbs)?
The calculator handles internal conversions based on your selected units for dimensions and density. For manual conversion, remember: 1 kg ≈ 2.20462 lbs, 1 inch = 2.54 cm, 1 foot = 0.3048 m.
Q8: What are "intermediate values" in the results?
Intermediate values like Cross-Sectional Area, Volume, and Weight per Unit Length are steps in the calculation process. They are often useful on their own for engineering analysis or comparison purposes.

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isValid = false; } if (wallThickness === null || wallThickness <= 0) { setErrorMessage('wallThicknessError', 'Please enter a valid positive wall thickness.'); isValid = false; } if (tubeLength === null || tubeLength = outerDiameter / 2) { setErrorMessage('wallThicknessError', 'Wall thickness cannot be equal to or greater than half the outer diameter.'); isValid = false; } return isValid; } function convertToCanonicalUnits(value, inputUnit, densityUnit) { var canonicalValue = value; var canonicalUnit = "; // Convert dimensions to a base unit (e.g., mm) if (inputUnit === 'cm') { canonicalValue *= 10; } else if (inputUnit === 'm') { canonicalValue *= 1000; } else if (inputUnit === 'in') { canonicalValue *= 25.4; } else if (inputUnit === 'ft') { canonicalValue *= 304.8; } canonicalUnit = 'mm'; // Base unit for dimensions // Convert density to a base unit (e.g., g/mm³) var densityValue = getInputValue('materialDensity'); var convertedDensity = densityValue; var densityBaseUnit = 'g_mm3'; // Default base unit if (densityUnit === 'kg_m3') { // 1 kg/m³ = 0.001 g/cm³ = 0.000001 g/mm³ convertedDensity = densityValue * 0.000001; densityBaseUnit = 'g_mm3'; } else if (densityUnit === 'lb_in3') { // 1 lb/in³ ≈ 27.6799 g/cm³ ≈ 0.0276799 g/mm³ convertedDensity = densityValue * 0.0276799; densityBaseUnit = 'g_mm3'; } else if (densityUnit === 'lb_ft3') { // 1 lb/ft³ ≈ 16.0185 kg/m³ ≈ 0.0160185 g/cm³ ≈ 0.0000160185 g/mm³ convertedDensity = densityValue * 0.0000160185; densityBaseUnit = 'g_mm3'; } else { // g_cm3 // 1 g/cm³ = 1 g / (10 mm)³ = 1 g / 1000 mm³ = 0.001 g/mm³ convertedDensity = densityValue * 0.001; densityBaseUnit = 'g_mm3'; } return { value: canonicalValue, unit: canonicalUnit, density: convertedDensity, densityUnit: densityBaseUnit }; } function formatResult(value, unit, precision = 2) { if (value === null || isNaN(value)) return '–'; // Basic formatting, could be expanded for different units return value.toFixed(precision) + ' ' + unit; } function formatWeight(value, densityUnit, precision = 2) { if (value === null || isNaN(value)) return '–'; var weightUnit = "; if (densityUnit === 'g_mm3' || densityUnit === 'g_cm3') { // Assuming base calculations result in grams if (value > 1000) { weightUnit = 'kg'; value /= 1000; } else { weightUnit = 'g'; } } else if (densityUnit === 'lb_in3' || densityUnit === 'lb_ft3') { // Assuming base calculations result in pounds weightUnit = 'lb'; } else { // Default or unknown density unit weightUnit = 'units'; // Placeholder } return value.toFixed(precision) + ' ' + weightUnit; } function updateTableUnits() { var lengthUnit = document.getElementById('unit').value; var densityUnit = document.getElementById('densityUnit').value; // Map select values to display strings var unitMap = { 'mm': 'mm', 'cm': 'cm', 'm': 'm', 'in': 'in', 'ft': 'ft' }; var densityUnitMap = { 'g_cm3': 'g/cm³', 'kg_m3': 'kg/m³', 'lb_in3': 'lb/in³', 'lb_ft3': 'lb/ft³' }; document.getElementById('outerDiameterUnitDisplay').innerText = unitMap[lengthUnit] || lengthUnit; document.getElementById('wallThicknessUnitDisplay').innerText = unitMap[lengthUnit] || lengthUnit; document.getElementById('lengthUnitDisplay').innerText = unitMap[lengthUnit] || lengthUnit; document.getElementById('densityUnitDisplay').innerText = densityUnitMap[densityUnit] || densityUnit; // Area units are squared length units var areaUnit = unitMap[lengthUnit] ? unitMap[lengthUnit] + '²' : lengthUnit + '²'; document.getElementById('areaUnitDisplay').innerText = areaUnit; // Volume units are cubed length units (convert to a common base like cm³ for display if needed) var volumeUnit = unitMap[lengthUnit] ? unitMap[lengthUnit] + '³' : lengthUnit + '³'; // Example conversion for display: if length is in mm, volume might be displayed in cm³ for readability if (lengthUnit === 'mm') { volumeUnit = 'cm³'; // Display volume in cm³ if dimensions are mm } else if (lengthUnit === 'in') { volumeUnit = 'in³'; } else if (lengthUnit === 'ft') { volumeUnit = 'ft³'; } else { volumeUnit = unitMap[lengthUnit] ? unitMap[lengthUnit] + '³' : lengthUnit + '³'; } document.getElementById('volumeUnitDisplay').innerText = volumeUnit; // Weight per Unit Length unit depends on density and length units var weightPerUnitLengthUnit = "; if (densityUnit.startsWith('g')) { // Metric units like g/cm³ or g/mm³ if (lengthUnit === 'mm') weightPerUnitLengthUnit = 'g/mm'; else if (lengthUnit === 'cm') weightPerUnitLengthUnit = 'g/cm'; else if (lengthUnit === 'm') weightPerUnitLengthUnit = 'kg/m'; // Common metric unit } else if (densityUnit.startsWith('lb')) { // Imperial units if (lengthUnit === 'in') weightPerUnitLengthUnit = 'lb/in'; else if (lengthUnit === 'ft') weightPerUnitLengthUnit = 'lb/ft'; // Common imperial unit } document.getElementById('weightPerUnitLengthUnitDisplay').innerText = weightPerUnitLengthUnit || 'N/A'; // Total weight unit depends on density unit var totalWeightUnit = "; if (densityUnit.startsWith('g')) { totalWeightUnit = 'kg'; // Default to kg for metric } else if (densityUnit.startsWith('lb')) { totalWeightUnit = 'lb'; // Default to lb for imperial } document.getElementById('totalWeightUnitDisplay').innerText = totalWeightUnit || 'N/A'; } function calculateTubeWeight() { if (!validateInputs()) { document.getElementById('totalTubeWeight').innerText = 'Error'; document.getElementById('crossSectionalArea').innerText = '–'; document.getElementById('volume').innerText = '–'; document.getElementById('weightPerUnitLength').innerText = '–'; return; } var density = getInputValue('materialDensity'); var outerDiameter = getInputValue('outerDiameter'); var wallThickness = getInputValue('wallThickness'); var tubeLength = getInputValue('tubeLength'); var unit = document.getElementById('unit').value; var densityUnit = document.getElementById('densityUnit').value; var conversions = convertToCanonicalUnits(outerDiameter, unit, densityUnit); var D_mm = conversions.value; // Outer Diameter in mm conversions = convertToCanonicalUnits(wallThickness, unit, densityUnit); var t_mm = conversions.value; // Wall Thickness in mm conversions = convertToCanonicalUnits(tubeLength, unit, densityUnit); var L_mm = conversions.value; // Tube Length in mm var rho_g_mm3 = conversions.density; // Density in g/mm³ // Calculate Inner Diameter in mm var d_mm = D_mm – 2 * t_mm; // Calculate Cross-Sectional Area in mm² var area_mm2 = (PI / 4) * (Math.pow(D_mm, 2) – Math.pow(d_mm, 2)); document.getElementById('crossSectionalArea').innerText = formatResult(area_mm2, 'mm²', 2); // Calculate Volume in mm³ var volume_mm3 = area_mm2 * L_mm; // Convert volume to cm³ for display if density is g/cm³ or if using mm dimensions var volume_display = volume_mm3; var volume_display_unit = 'mm³'; if (densityUnit === 'g_cm3') { volume_display = volume_mm3 / 1000; // 1 cm³ = 1000 mm³ volume_display_unit = 'cm³'; } else if (unit === 'cm') { volume_display = volume_mm3 / 1000; volume_display_unit = 'cm³'; } else if (unit === 'm') { volume_display = volume_mm3 / 1000000000; volume_display_unit = 'm³'; } else if (unit === 'in') { volume_display = volume_mm3 / 16387.064; // 1 in³ ≈ 16387 mm³ volume_display_unit = 'in³'; } else if (unit === 'ft') { volume_display = volume_mm3 / 28316846.592; // 1 ft³ ≈ 28.3 million mm³ volume_display_unit = 'ft³'; } document.getElementById('volume').innerText = formatResult(volume_display, volume_display_unit, 2); // Calculate Weight per Unit Length var weightPerUnitLength_g_mm = area_mm2 * rho_g_mm3; // Weight in grams per mm var weightPerUnitLength_display = weightPerUnitLength_g_mm; var weightPerUnitLength_unit = 'g/mm'; // Convert to more standard units like kg/m or lb/ft if (unit === 'm') { // If original length unit was meters weightPerUnitLength_display = weightPerUnitLength_g_mm * 1000 * 1000 / 1000; // g/mm -> kg/m weightPerUnitLength_unit = 'kg/m'; } else if (unit === 'cm') { // If original length unit was cm weightPerUnitLength_display = weightPerUnitLength_g_mm * 1000 / 10; // g/mm -> g/cm weightPerUnitLength_unit = 'g/cm'; } else if (unit === 'ft') { // If original length unit was ft weightPerUnitLength_display = weightPerUnitLength_g_mm * (1000 * 1000 / 304.8) ; // g/mm -> lb/ft (approximate) // Precise conversion: g/mm³ to lb/ft³ requires careful conversion chain // Let's recalculate this path for clarity using common imperial densities var D_in = outerDiameter * (unit === 'in' ? 1 : (unit === 'ft' ? 1/12 : (unit === 'cm' ? 0.393701 : (unit === 'm' ? 39.3701 : 1)))); var t_in = wallThickness * (unit === 'in' ? 1 : (unit === 'ft' ? 1/12 : (unit === 'cm' ? 0.393701 : (unit === 'm' ? 39.3701 : 1)))); var L_ft = tubeLength * (unit === 'ft' ? 1 : (unit === 'in' ? 1/12 : (unit === 'cm' ? 0.0328084 : (unit === 'm' ? 3.28084 : 1)))); var rho_lb_in3 = density; // Use original input density value if (densityUnit === 'g_cm3') rho_lb_in3 = density * 0.036127; else if (densityUnit === 'kg_m3') rho_lb_in3 = density * 0.000036127; else if (densityUnit === 'lb_ft3') rho_lb_in3 = density * 0.0000160185; // lb/ft³ to lb/in³ var area_in2 = (PI / 4) * (Math.pow(D_in, 2) – Math.pow(D_in – 2 * t_in, 2)); var weightPerUnitLength_lb_in = area_in2 * rho_lb_in3; // lb/in weightPerUnitLength_display = weightPerUnitLength_lb_in * 12; // lb/in to lb/ft weightPerUnitLength_unit = 'lb/ft'; } document.getElementById('weightPerUnitLength').innerText = formatResult(weightPerUnitLength_display, weightPerUnitLength_unit, 2); // Calculate Total Tube Weight var totalWeight_g = volume_mm3 * rho_g_mm3; // Weight in grams var totalWeight_display = totalWeight_g; var totalWeight_unit = 'g'; // Convert to kg or lb based on density unit for final display if (densityUnit === 'g_cm3' || densityUnit === 'g_mm3') { // Metric if (totalWeight_g > 1000) { totalWeight_display = totalWeight_g / 1000; totalWeight_unit = 'kg'; } } else if (densityUnit === 'lb_in3' || densityUnit === 'lb_ft3') { // Imperial totalWeight_display = totalWeight_g / 453.592; // Convert grams to pounds totalWeight_unit = 'lb'; } else if (densityUnit === 'kg_m3') { // If density was kg/m³, and we used mm dimensions, volume is mm³ // Need to convert volume mm³ to m³ then multiply by kg/m³ var volume_m3 = volume_mm3 / 1e9; // mm³ to m³ totalWeight_display = volume_m3 * density; // density is already kg/m³ totalWeight_unit = 'kg'; } document.getElementById('totalTubeWeight').innerText = formatResult(totalWeight_display, totalWeight_unit, 2); updateChart(outerDiameter, wallThickness, tubeLength, unit, density, densityUnit); } function updateChart(outerDiameter, wallThickness, tubeLength, unit, density, densityUnit) { var canvas = document.getElementById('weightChart'); var ctx = canvas.getContext('2d'); // Clear previous chart ctx.clearRect(0, 0, canvas.width, canvas.height); var dataPoints = []; var maxLen = 10000; // Max length for chart (e.g., 10 meters) var stepLen = maxLen / 10; // 10 steps for the chart // Generate data points for varying lengths and wall thicknesses var lengths = [stepLen, stepLen * 2, stepLen * 3, stepLen * 4, stepLen * 5, stepLen * 6, stepLen * 7, stepLen * 8, stepLen * 9, maxLen]; var series1_thickness = Math.max(1, wallThickness / 2); // Example: Half the input thickness var series2_thickness = Math.max(1, wallThickness * 1.5); // Example: 1.5 times the input thickness var series1_label = 't = ' + series1_thickness.toFixed(1) + ' ' + unit; var series2_label = 't = ' + series2_thickness.toFixed(1) + ' ' + unit; var chartData1 = []; var chartData2 = []; // Use current density and outer diameter, vary length and thickness var D_base = outerDiameter; // Keep outer diameter constant for comparison var rho_base = density; var rho_unit_base = densityUnit; for (var i = 0; i < lengths.length; i++) { var currentLength = lengths[i]; // Calculate weight for series 1 (half thickness) var weight1 = calculateSingleWeight(rho_base, rho_unit_base, D_base, series1_thickness, currentLength, unit); chartData1.push(weight1); // Calculate weight for series 2 (1.5x thickness) var weight2 = calculateSingleWeight(rho_base, rho_unit_base, D_base, series2_thickness, currentLength, unit); chartData2.push(weight2); } // Convert lengths to display unit (e.g., meters if original unit was mm) var displayLengths = lengths.map(function(len) { if (unit === 'mm') return len / 1000; // mm to m if (unit === 'cm') return len / 100; // cm to m if (unit === 'in') return len * 0.0254; // inches to m if (unit === 'ft') return len * 0.3048; // ft to m return len; // Assume meters if unit is m }); var displayLengthUnit = 'm'; // Chart dimensions var chartWidth = canvas.parentElement.clientWidth * 0.95; var chartHeight = 300; canvas.width = chartWidth; canvas.height = chartHeight; var padding = 40; var chartAreaWidth = chartWidth – 2 * padding; var chartAreaHeight = chartHeight – 2 * padding; // Find max weight for scaling var maxWeight = Math.max(…chartData1, …chartData2); if (maxWeight === 0) maxWeight = 1; // Avoid division by zero // Draw Axes ctx.strokeStyle = '#ccc'; ctx.lineWidth = 1; ctx.font = '12px Arial'; ctx.fillStyle = '#333'; // X-axis (Length) ctx.beginPath(); ctx.moveTo(padding, chartHeight – padding); ctx.lineTo(chartWidth – padding, chartHeight – padding); ctx.stroke(); // X-axis labels for (var i = 0; i < displayLengths.length; i++) { var xPos = padding + (displayLengths[i] / maxLen) * chartAreaWidth; ctx.fillText(displayLengths[i].toFixed(1), xPos – 15, chartHeight – padding + 15); } ctx.fillText('Length (' + displayLengthUnit + ')', chartWidth / 2, chartHeight – 5); // Y-axis (Weight) ctx.beginPath(); ctx.moveTo(padding, padding); ctx.lineTo(padding, chartHeight – padding); ctx.stroke(); // Y-axis labels var yLabelCount = 5; for (var i = 0; i <= yLabelCount; i++) { var yPos = chartHeight – padding – (i / yLabelCount) * chartAreaHeight; var yValue = (i / yLabelCount) * maxWeight; ctx.fillText(yValue.toFixed(1), padding – 30, yPos + 5); } ctx.save(); ctx.translate(10, chartHeight / 2); ctx.rotate(-90 * Math.PI / 180); ctx.fillText('Weight', 0, 0); ctx.restore(); // Draw Series 1 ctx.strokeStyle = var(–primary-color); ctx.lineWidth = 2; ctx.beginPath(); for (var i = 0; i < displayLengths.length; i++) { var xPos = padding + (displayLengths[i] / maxLen) * chartAreaWidth; var yPos = chartHeight – padding – (chartData1[i] / maxWeight) * chartAreaHeight; if (i === 0) { ctx.moveTo(xPos, yPos); } else { ctx.lineTo(xPos, yPos); } } ctx.stroke(); // Add legend marker for series 1 ctx.fillStyle = var(–primary-color); ctx.fillRect(padding + chartAreaWidth – 100, padding + 20, 10, 10); ctx.fillText(series1_label, padding + chartAreaWidth – 85, padding + 30); // Draw Series 2 ctx.strokeStyle = var(–success-color); ctx.lineWidth = 2; ctx.beginPath(); for (var i = 0; i < displayLengths.length; i++) { var xPos = padding + (displayLengths[i] / maxLen) * chartAreaWidth; var yPos = chartHeight – padding – (chartData2[i] / maxWeight) * chartAreaHeight; if (i === 0) { ctx.moveTo(xPos, yPos); } else { ctx.lineTo(xPos, yPos); } } ctx.stroke(); // Add legend marker for series 2 ctx.fillStyle = var(–success-color); ctx.fillRect(padding + chartAreaWidth – 100, padding + 50, 10, 10); ctx.fillText(series2_label, padding + chartAreaWidth – 85, padding + 60); } // Helper function to calculate weight for a single set of parameters for chart function calculateSingleWeight(density, densityUnit, outerDiameter, wallThickness, length, unit) { var conversions = convertToCanonicalUnits(outerDiameter, unit, densityUnit); var D_mm = conversions.value; conversions = convertToCanonicalUnits(wallThickness, unit, densityUnit); var t_mm = conversions.value; conversions = convertToCanonicalUnits(length, unit, densityUnit); var L_mm = conversions.value; var rho_g_mm3 = conversions.density; var d_mm = D_mm – 2 * t_mm; if (d_mm <= 0) return 0; // Avoid invalid calculations var area_mm2 = (PI / 4) * (Math.pow(D_mm, 2) – Math.pow(d_mm, 2)); var volume_mm3 = area_mm2 * L_mm; var weight_g = volume_mm3 * rho_g_mm3; // Convert weight to a consistent unit for the chart (e.g., kg if original was metric, lb if imperial) var weight_display = weight_g; if (densityUnit.startsWith('g')) { // Metric based on g/cm³ or g/mm³ weight_display = weight_g / 1000; // Convert to kg } else if (densityUnit.startsWith('lb')) { // Imperial based on lb/in³ or lb/ft³ weight_display = weight_g / 453.592; // Convert grams to pounds } else if (densityUnit === 'kg_m3') { var volume_m3 = volume_mm3 / 1e9; weight_display = volume_m3 * density; // density is already kg/m³ } return weight_display; } function resetCalculator() { document.getElementById('materialDensity').value = '7.85'; document.getElementById('outerDiameter').value = '50'; document.getElementById('wallThickness').value = '5'; document.getElementById('tubeLength').value = '1000'; document.getElementById('unit').value = 'mm'; document.getElementById('densityUnit').value = 'g_cm3'; clearErrorMessages(); calculateTubeWeight(); // Recalculate with defaults updateTableUnits(); // Update table units display } function copyResults() { var mainResult = document.getElementById('totalTubeWeight').innerText; var area = document.getElementById('crossSectionalArea').innerText; var volume = document.getElementById('volume').innerText; var weightPerUnit = document.getElementById('weightPerUnitLength').innerText; var density = document.getElementById('materialDensity').value + ' ' + document.getElementById('densityUnit').value; var OD = document.getElementById('outerDiameter').value + ' ' + document.getElementById('unit').value; var WT = document.getElementById('wallThickness').value + ' ' + document.getElementById('unit').value; var L = document.getElementById('tubeLength').value + ' ' + document.getElementById('unit').value; var copyText = "— Tube Weight Calculation Results —\n\n"; copyText += "Inputs:\n"; copyText += " Material Density: " + density + "\n"; copyText += " Outer Diameter: " + OD + "\n"; copyText += " Wall Thickness: " + WT + "\n"; copyText += " Tube Length: " + L + "\n\n"; copyText += "Results:\n"; copyText += " Cross-Sectional Area: " + area + "\n"; copyText += " Volume: " + volume + "\n"; copyText += " Weight Per Unit Length: " + weightPerUnit + "\n"; copyText += " Total Tube Weight: " + mainResult + "\n\n"; copyText += "Formula Used: Weight = (π/4 * (D² – d²)) * L * ρ\n"; navigator.clipboard.writeText(copyText).then(function() { // Optional: Show a success message var btn = document.querySelector('.copy-btn'); btn.innerText = 'Copied!'; setTimeout(function() { btn.innerText = 'Copy Results'; }, 2000); }, function(err) { console.error('Failed to copy: ', err); var btn = document.querySelector('.copy-btn'); btn.innerText = 'Copy Failed'; setTimeout(function() { btn.innerText = 'Copy Results'; }, 2000); }); } // Initialize calculator and chart on load window.onload = function() { updateTableUnits(); // Set initial units in the table resetCalculator(); // Load default values and calculate // Initial chart update with default values var defaultOuterDiameter = parseFloat(document.getElementById('outerDiameter').value); var defaultWallThickness = parseFloat(document.getElementById('wallThickness').value); var defaultTubeLength = parseFloat(document.getElementById('tubeLength').value); var defaultUnit = document.getElementById('unit').value; var defaultDensity = parseFloat(document.getElementById('materialDensity').value); var defaultDensityUnit = document.getElementById('densityUnit').value; updateChart(defaultOuterDiameter, defaultWallThickness, defaultTubeLength, defaultUnit, defaultDensity, defaultDensityUnit); }; // Update units whenever the unit selection changes document.getElementById('unit').addEventListener('change', function() { updateTableUnits(); // Optionally recalculate immediately if inputs haven't changed drastically calculateTubeWeight(); }); document.getElementById('densityUnit').addEventListener('change', function() { updateTableUnits(); calculateTubeWeight(); });

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