How to Calculate Pipe Weight Formula

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How to Calculate Pipe Weight Formula – Expert Guide & Calculator

Pipe Weight Calculator

Use this calculator to quickly determine the weight of a pipe based on its dimensions and material properties. Enter the values below to see the results.

Enter the outside diameter of the pipe in millimeters (mm).
Enter the wall thickness of the pipe in millimeters (mm).
Enter the total length of the pipe in millimeters (mm).
Steel (7850 kg/m³) Aluminum (2700 kg/m³) Cast Iron (9200 kg/m³) Copper (10500 kg/m³) Lead (11340 kg/m³) Iron (7900 kg/m³) Titanium (21450 kg/m³) Custom Select the material or enter custom density. Density is typically in kg/m³ (or g/cm³ * 1000).

Calculation Results

— kg
Inner Diameter: — mm
Cross-Sectional Area: — mm²
Volume: — m³
Formula: Weight = Volume × Density

Assumptions: Material Density used: — kg/m³

Weight vs. Length Analysis

Weight (kg) vs. Pipe Length (m) for different Wall Thicknesses
Weight per Meter for Selected Lengths
Length (m) Calculated Weight (kg)
Enter values to see table.

What is Pipe Weight Calculation?

Pipe weight calculation is a fundamental process in engineering and construction that determines the mass of a given length of pipe. This calculation is crucial for various applications, including material estimation, structural load calculations, transportation logistics, and cost analysis. Understanding how to calculate pipe weight formula accurately ensures that projects are planned and executed efficiently and safely. The weight of a pipe is primarily influenced by its dimensions (outer diameter, wall thickness, length) and the density of the material it's made from.

This calculation is essential for engineersProfessionals who design and oversee the construction of infrastructure and systems., procurement specialistsIndividuals responsible for sourcing and purchasing materials for projects., project managersIndividuals overseeing project planning, execution, and completion., and fabricatorsWorkers or companies involved in shaping and assembling metal structures.. It helps in accurately budgeting for materials, planning for the handling and support structures required, and ensuring compliance with safety regulations.

A common misconception is that pipe weight is solely dependent on its diameter and length. However, the material's density plays an equally significant role. For example, a steel pipe and an aluminum pipe of the exact same dimensions will have vastly different weights. Another misconception is that wall thickness only affects the internal diameter, but it's a primary determinant of the volume of material used, and thus, the overall weight.

Pipe Weight Formula and Mathematical Explanation

The core of calculating pipe weight relies on determining the volume of the material used in the pipe and then multiplying that volume by the material's density. The formula can be broken down step-by-step:

  1. Calculate the Inner Diameter (ID): The inner diameter is found by subtracting twice the wall thickness from the outer diameter.
    ID = OD - 2 × Wall Thickness
  2. Calculate the Cross-Sectional Area of the Material: This is the area of the metal ring that forms the pipe's wall. It's the difference between the area of the circle defined by the outer diameter and the area of the circle defined by the inner diameter.
    Area = π × ( (OD/2)² - (ID/2)² )
    Or, more simply: Area = π × ( (OD² - ID²) / 4 )
  3. Calculate the Volume of the Pipe: Multiply the cross-sectional area by the pipe's length. Ensure all units are consistent (e.g., convert mm to meters if density is in kg/m³).
    Volume = Area × Length
  4. Calculate the Weight: Multiply the volume by the density of the material.
    Weight = Volume × Density

Combining these steps, the simplified formula often used is:

Weight = (π / 4) × (OD² – ID²) × Length × Density

Where:

Pipe Weight Calculation Variables
Variable Meaning Unit Typical Range/Notes
OD Outer Diameter mm e.g., 21.3 mm to 1000+ mm
ID Inner Diameter mm Calculated: OD – 2 × Wall Thickness
Wall Thickness Thickness of the pipe wall mm e.g., 1 mm to 50+ mm
Length Total length of the pipe section mm (often converted to m for calculation) e.g., 1000 mm to 12000 mm (6m, 12m standard lengths)
Density Mass per unit volume of the pipe material kg/m³ Steel: ~7850, Aluminum: ~2700, Copper: ~10500, Cast Iron: ~9200
Area Cross-sectional area of the pipe wall mm² (often converted to m² for calculation) Calculated
Volume Volume of material in the pipe m³ (after unit conversion) Calculated
Weight Total mass of the pipe section kg Calculated

Practical Examples (Real-World Use Cases)

Let's illustrate the pipe weight calculation with practical examples:

Example 1: Standard Steel Pipe for Plumbing

Consider a standard steel pipe used in industrial plumbing systems.

  • Outer Diameter (OD): 114.3 mm (4-inch nominal size)
  • Wall Thickness: 6.0 mm
  • Length: 6000 mm (6 meters)
  • Material: Steel (Density = 7850 kg/m³)

Calculation Steps:

  1. Inner Diameter (ID) = 114.3 mm – 2 × 6.0 mm = 114.3 mm – 12.0 mm = 102.3 mm
  2. Cross-Sectional Area = (π / 4) × (114.3² – 102.3²) mm² = (π / 4) × (13064.49 – 10465.29) mm² = (π / 4) × 2599.2 mm² ≈ 2041.7 mm²
  3. Convert Area to m²: 2041.7 mm² = 0.0020417 m²
  4. Convert Length to m: 6000 mm = 6 m
  5. Volume = 0.0020417 m² × 6 m = 0.01225 m³
  6. Weight = 0.01225 m³ × 7850 kg/m³ ≈ 96.19 kg

Result Interpretation: A 6-meter length of this specific steel pipe weighs approximately 96.19 kg. This information is vital for calculating the total steel requirement for a project, determining shipping weights, and planning crane or lifting equipment needed for installation. If you were using our calculator, you'd input these values and get the result instantly.

Example 2: Lightweight Aluminum Pipe for Aerospace

Imagine an aluminum pipe used in an aerospace application where weight is a critical factor.

  • Outer Diameter (OD): 50 mm
  • Wall Thickness: 2.0 mm
  • Length: 3000 mm (3 meters)
  • Material: Aluminum (Density = 2700 kg/m³)

Calculation Steps:

  1. Inner Diameter (ID) = 50 mm – 2 × 2.0 mm = 50 mm – 4.0 mm = 46 mm
  2. Cross-Sectional Area = (π / 4) × (50² – 46²) mm² = (π / 4) × (2500 – 2116) mm² = (π / 4) × 384 mm² ≈ 301.6 mm²
  3. Convert Area to m²: 301.6 mm² = 0.0003016 m²
  4. Convert Length to m: 3000 mm = 3 m
  5. Volume = 0.0003016 m² × 3 m = 0.0009048 m³
  6. Weight = 0.0009048 m³ × 2700 kg/m³ ≈ 2.44 kg

Result Interpretation: This lightweight aluminum pipe section weighs only about 2.44 kg. This significantly lower weight compared to the steel pipe (despite similar dimensions) highlights the importance of material selection in applications where weight is a constraint. This kind of calculation informs design choices and helps optimize overall system weight.

How to Use This Pipe Weight Calculator

Our pipe weight calculator is designed for simplicity and accuracy. Follow these steps to get your results:

  1. Enter Outer Diameter (OD): Input the measurement of the pipe's external circumference in millimeters (mm).
  2. Enter Wall Thickness: Provide the thickness of the pipe's wall in millimeters (mm).
  3. Enter Length: Specify the total length of the pipe section you are calculating for, also in millimeters (mm).
  4. Select Material Density: Choose your pipe material from the dropdown list (e.g., Steel, Aluminum). The calculator automatically uses the standard density for that material. If your material isn't listed, select 'Custom' and enter its density in kg/m³.
  5. Calculate: Click the "Calculate Weight" button.

Reading Your Results:

  • Primary Result (Highlighted): This shows the total calculated weight of the pipe section in kilograms (kg).
  • Intermediate Values: You'll see the calculated Inner Diameter (ID) in mm, the Cross-Sectional Area of the material in mm², and the total Volume of the material in cubic meters (m³).
  • Formula Explanation: A brief reminder of the formula used (Weight = Volume × Density).
  • Assumptions: Confirms the material density value used in the calculation.
  • Chart & Table: Visualizes how the pipe's weight changes with length and provides a quick reference table for weight per meter.

Decision-Making Guidance:

  • Use the results to estimate material quantities for purchasing.
  • Compare the weights of different material options to select the most suitable one based on structural needs and weight constraints.
  • Inform structural engineers about the load contributions of piping systems.
  • Plan for transportation and installation logistics based on the estimated weight.

Use the "Reset" button to clear all fields and start over. The "Copy Results" button allows you to easily transfer the calculated weight, intermediate values, and assumptions to another document.

Key Factors That Affect Pipe Weight Results

Several factors significantly influence the calculated weight of a pipe. Understanding these can help in refining your estimates and troubleshooting unexpected values:

  • Outer Diameter (OD):The external measurement of the pipe. Larger ODs, assuming constant wall thickness and length, lead to greater weight due to increased material volume. The OD is a primary determinant of the pipe's size and directly impacts the volume of material used. A larger outer diameter, even with the same wall thickness, means more material and therefore a heavier pipe.
  • Wall Thickness:The thickness of the material forming the pipe wall. Crucial for strength and directly affecting weight. This is arguably the most critical factor after OD for weight. A thicker wall means significantly more material is packed into the same outer diameter, drastically increasing the pipe's weight and its load-bearing capacity.
  • Pipe Length:The linear dimension of the pipe section. Directly proportional to weight. Weight is directly proportional to length. A longer pipe of the same diameter and wall thickness will weigh proportionally more. This is why weight is often quoted per unit length (e.g., kg/meter).
  • Material Density:The mass of the material per unit volume. Varies significantly between different materials. This is a critical material property. Denser materials like steel or lead will result in much heavier pipes compared to less dense materials like aluminum or certain plastics, assuming all dimensions are identical. Accuracy in density values is key.
  • Manufacturing Tolerances:Acceptable variations in dimensions during the manufacturing process. Real-world pipes have manufacturing tolerances. The actual OD and wall thickness might slightly deviate from the nominal values. These small variations can add up, especially for long runs or critical applications, potentially leading to slight discrepancies between calculated and actual weights.
  • Corrosion and Coatings:Additions or material loss that affect the pipe's mass. Pipes may have coatings (like galvanization or paint) or be subject to corrosion over time. Coatings add a small amount of weight, while corrosion removes material, reducing weight. These are typically not included in standard calculations but can be relevant for long-term assessments.
  • Hollow vs. Solid:The distinction between a pipe (hollow) and a solid bar. It's important to remember we are calculating the weight of a *hollow* cylinder. Solid bars or rods of the same outer diameter would be significantly heavier because they lack the inner void. This calculator assumes a standard hollow pipe structure.

Frequently Asked Questions (FAQ)

Q1: What is the difference between pipe weight and pipe load?

Pipe weight refers to the intrinsic mass of the pipe material itself. Pipe load, however, includes the weight of the pipe plus the weight of any fluid it contains, plus any external forces acting upon it (like pressure, wind, or seismic loads). Weight is a component of load.

Q2: Why do different standards (like ASTM, API) list different weights for similar pipes?

Different standards often specify slightly different nominal dimensions (OD, wall thickness) and tolerances for pipes of the same general size. These variations in dimensions, even if minor, lead to different calculated weights. Always refer to the specific standard applicable to your project.

Q3: Can I use this calculator for plastic pipes?

Yes, you can use this calculator for plastic pipes if you know their density. However, ensure you select the correct density value for the specific plastic material (e.g., PVC, HDPE), as plastic densities are significantly lower than metals. You'll likely need to use the 'Custom' density option.

Q4: What are typical standard lengths for pipes?

Standard pipe lengths vary by material and application. Common lengths for steel pipes include 6 meters (approx. 20 ft) and 12 meters (approx. 40 ft). Other materials or specialized pipes may come in different lengths.

Q5: How does the material density unit (kg/m³) relate to g/cm³?

1 kg/m³ is equal to 0.001 g/cm³. So, if you have a density in g/cm³, multiply it by 1000 to get the value in kg/m³ (e.g., Steel: 7.85 g/cm³ = 7850 kg/m³).

Q6: What is the difference between weight and mass?

In everyday language and most engineering contexts on Earth, 'weight' is used interchangeably with 'mass'. Technically, mass is the amount of matter in an object, measured in kilograms (kg). Weight is the force exerted on an object due to gravity, measured in Newtons (N). Since gravity is constant on Earth's surface for practical purposes, we calculate mass (often colloquially called weight) in kilograms using density (mass/volume).

Q7: Should I round the density values?

It's best to use the most accurate density value available for your specific material grade. Standard density values are generally sufficient for most common applications. If high precision is required, consult material datasheets for exact figures. Using standard values ensures consistency.

Q8: How do I calculate the weight of a pipe with fittings or flanges?

This calculator is for straight pipe sections only. To calculate the weight of a system with fittings (elbows, tees) and flanges, you would typically calculate the weight of each straight pipe section individually and then add the known weights of the fittings and flanges. Manufacturers often provide weight data for these components.

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var OD_INPUT = "pipeOuterDiameter"; var WALL_THICKNESS_INPUT = "pipeWallThickness"; var LENGTH_INPUT = "pipeLength"; var MATERIAL_DENSITY_SELECT = "materialDensity"; var CUSTOM_DENSITY_INPUT = "customDensity"; var mainResultElement = document.getElementById("mainResult"); var innerDiameterResultElement = document.getElementById("innerDiameterResult").querySelector("span"); var crossSectionalAreaResultElement = document.getElementById("crossSectionalAreaResult").querySelector("span"); var volumeResultElement = document.getElementById("volumeResult").querySelector("span"); var densityUsedElement = document.getElementById("densityUsed"); var chartCanvas = document.getElementById("weightLengthChart").getContext("2d"); var weightTableBody = document.getElementById("weightTableBody"); var pipeOuterDiameterError = document.getElementById("pipeOuterDiameterError"); var pipeWallThicknessError = document.getElementById("pipeWallThicknessError"); var pipeLengthError = document.getElementById("pipeLengthError"); var materialDensityError = document.getElementById("materialDensityError"); var chartInstance = null; // Default densities in kg/m³ var densities = { "7850": "Steel", "2700": "Aluminum", "9200": "Cast Iron", "10500": "Copper", "11340": "Lead", "7900": "Iron", "21450": "Titanium" }; // Initial setup for custom density input visibility var materialDensitySelect = document.getElementById(MATERIAL_DENSITY_SELECT); var customDensityInput = document.getElementById(CUSTOM_DENSITY_INPUT); function toggleCustomDensityInput() { if (materialDensitySelect.value === "custom") { customDensityInput.style.display = "block"; customDensityInput.focus(); } else { customDensityInput.style.display = "none"; customDensityInput.value = ""; // Clear custom value if not selected } } materialDensitySelect.addEventListener("change", toggleCustomDensityInput); toggleCustomDensityInput(); // Set initial state function validateInput(value, inputId, errorElement, min = null, max = null) { var errorMsg = ""; var numValue = parseFloat(value); if (value === "") { errorMsg = "This field cannot be empty."; } else if (isNaN(numValue)) { errorMsg = "Please enter a valid number."; } else if (numValue <= 0 && inputId !== CUSTOM_DENSITY_INPUT) { // Allow 0 density but not negative/zero for dimensions errorMsg = "Value must be positive."; } else if (min !== null && numValue max) { errorMsg = "Value must be no more than " + max + "."; } errorElement.textContent = errorMsg; return errorMsg === ""; } function getDensityValue() { var selectedValue = materialDensitySelect.value; if (selectedValue === "custom") { var customValue = customDensityInput.value; if (customValue === "") return null; // Indicate error var numCustomValue = parseFloat(customValue); if (isNaN(numCustomValue) || numCustomValue <= 0) { return null; // Indicate error for invalid custom density } return numCustomValue; } else { return parseFloat(selectedValue); } } function calculatePipeWeight() { var outerDiameter = document.getElementById(OD_INPUT).value; var wallThickness = document.getElementById(WALL_THICKNESS_INPUT).value; var length = document.getElementById(LENGTH_INPUT).value; var densityValue = getDensityValue(); var isValid = true; isValid = validateInput(outerDiameter, OD_INPUT, pipeOuterDiameterError, 1) && isValid; isValid = validateInput(wallThickness, WALL_THICKNESS_INPUT, pipeWallThicknessError, 0.1) && isValid; // Min thickness slightly above 0 isValid = validateInput(length, LENGTH_INPUT, pipeLengthError, 1) && isValid; if (materialDensitySelect.value === "custom") { isValid = validateInput(customDensityInput.value, CUSTOM_DENSITY_INPUT, materialDensityError, 1) && isValid; // Custom density must be positive } else if (materialDensitySelect.value === "") { materialDensityError.textContent = "Please select a material density."; isValid = false; } else { materialDensityError.textContent = ""; // Clear error if a standard material is selected } if (!isValid) { // Clear results if any input is invalid mainResultElement.textContent = "– kg"; innerDiameterResultElement.textContent = "– mm"; crossSectionalAreaResultElement.textContent = "– mm²"; volumeResultElement.textContent = "– m³"; densityUsedElement.textContent = "– kg/m³"; updateChart([], []); // Clear chart updateTable([]); // Clear table return; } var odMm = parseFloat(outerDiameter); var wtMm = parseFloat(wallThickness); var lenMm = parseFloat(length); var idMm = odMm – 2 * wtMm; if (idMm <= 0) { // Inner diameter cannot be zero or negative isValid = false; pipeWallThicknessError.textContent = "Wall thickness is too large for the given outer diameter."; } if (!isValid) { // Clear results if ID is invalid mainResultElement.textContent = "– kg"; innerDiameterResultElement.textContent = "– mm"; crossSectionalAreaResultElement.textContent = "– mm²"; volumeResultElement.textContent = "– m³"; densityUsedElement.textContent = "– kg/m³"; updateChart([], []); // Clear chart updateTable([]); // Clear table return; } var densityKgPerM3 = densityValue; var materialName = densities[densityValue] || "Custom"; // Convert dimensions to meters for volume calculation var odM = odMm / 1000; var idM = idMm / 1000; var lenM = lenMm / 1000; // Calculate area in m² var areaSqM = (Math.PI / 4) * (Math.pow(odM, 2) – Math.pow(idM, 2)); // Calculate volume in m³ var volumeCubicM = areaSqM * lenM; // Calculate weight in kg var weightKg = volumeCubicM * densityKgPerM3; // Update results display mainResultElement.textContent = weightKg.toFixed(2) + " kg"; innerDiameterResultElement.textContent = idMm.toFixed(2) + " mm"; crossSectionalAreaResultElement.textContent = (areaSqM * 1000000).toFixed(2) + " mm²"; // Convert back to mm² for display volumeResultElement.textContent = volumeCubicM.toFixed(6) + " m³"; // Display volume with more precision densityUsedElement.textContent = densityKgPerM3.toFixed(0) + " kg/m³ (" + materialName + ")"; // Update chart and table updateChartAndTable(odMm, wtMm, lenMm, densityKgPerM3); } function updateChartAndTable(odMm, wtMm, lenMm, densityKgPerM3) { var chartData = []; var tableData = []; var lengthsToAnalyze = [1, 3, 6, 12]; // Meters for analysis for (var i = 0; i < lengthsToAnalyze.length; i++) { var currentLengthM = lengthsToAnalyze[i]; var currentLengthMm = currentLengthM * 1000; var currentIdMm = odMm – 2 * wtMm; if (currentIdMm <= 0) continue; // Skip if wall thickness makes ID invalid var currentOdM = odMm / 1000; var currentIdM = currentIdMm / 1000; var currentLenM = currentLengthM; var currentAreaSqM = (Math.PI / 4) * (Math.pow(currentOdM, 2) – Math.pow(currentIdM, 2)); var currentVolumeCubicM = currentAreaSqM * currentLenM; var currentWeightKg = currentVolumeCubicM * densityKgPerM3; chartData.push({ length: currentLengthM, weight: currentWeightKg }); tableData.push({ length: currentLengthM, weight: currentWeightKg.toFixed(2) }); } updateChart(chartData, lengthsToAnalyze); updateTable(tableData); } function updateChart(chartData, chartLabelsX) { if (chartInstance) { chartInstance.destroy(); } if (chartData.length === 0) { // Clear canvas if no data chartCanvas.clearRect(0, 0, chartCanvas.canvas.width, chartCanvas.canvas.height); chartCanvas.canvas.style.display = 'none'; // Hide canvas if empty document.getElementById("chartSection").querySelector(".chart-label").style.display = 'none'; return; } chartCanvas.canvas.style.display = 'block'; // Show canvas document.getElementById("chartSection").querySelector(".chart-label").style.display = 'block'; var weights = chartData.map(function(item) { return item.weight; }); chartInstance = new Chart(chartCanvas, { type: 'bar', // Changed to bar chart for better visualization of discrete lengths data: { labels: chartLabelsX.map(function(l){ return l + " m"; }), // Format labels datasets: [{ label: 'Pipe Weight (kg)', data: weights, backgroundColor: 'rgba(0, 74, 153, 0.6)', // Primary color 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: 'Pipe Length (m)' } } }, plugins: { legend: { display: false // Only one dataset, legend is redundant }, title: { display: true, text: 'Estimated Pipe Weight for Different Lengths' } } } }); } function updateTable(tableData) { weightTableBody.innerHTML = ""; // Clear existing rows if (tableData.length === 0) { var row = weightTableBody.insertRow(); var cell = row.insertCell(0); cell.colSpan = 2; cell.textContent = "Enter values to see table."; return; } tableData.forEach(function(item) { var row = weightTableBody.insertRow(); var cellLength = row.insertCell(0); var cellWeight = row.insertCell(1); cellLength.textContent = item.length + " m"; cellWeight.textContent = item.weight + " kg"; }); } function resetCalculator() { document.getElementById(OD_INPUT).value = "114.3"; // Default: 4-inch pipe OD document.getElementById(WALL_THICKNESS_INPUT).value = "6.0"; // Default: Standard wall thickness document.getElementById(LENGTH_INPUT).value = "6000"; // Default: 6 meters document.getElementById(MATERIAL_DENSITY_SELECT).value = "7850"; // Default: Steel document.getElementById(CUSTOM_DENSITY_INPUT).value = ""; document.getElementById(CUSTOM_DENSITY_INPUT).style.display = "none"; // Clear errors pipeOuterDiameterError.textContent = ""; pipeWallThicknessError.textContent = ""; pipeLengthError.textContent = ""; materialDensityError.textContent = ""; calculatePipeWeight(); // Recalculate with default values } function copyResults() { var mainResult = mainResultElement.textContent; var innerDiameter = innerDiameterResultElement.textContent; var crossSectionalArea = crossSectionalAreaResultElement.textContent; var volume = volumeResultElement.textContent; var densityUsed = densityUsedElement.textContent; var resultText = "Pipe Weight Calculation Results:\n\n"; resultText += "Total Weight: " + mainResult + "\n"; resultText += "Inner Diameter: " + innerDiameter + "\n"; resultText += "Cross-Sectional Area: " + crossSectionalArea + "\n"; resultText += "Volume: " + volume + "\n"; resultText += "— Assumptions —\n"; resultText += "Material Density Used: " + densityUsed + "\n"; // Copy to clipboard var textArea = document.createElement("textarea"); textArea.value = resultText; textArea.style.position = "fixed"; // Avoid scrolling to bottom of page textArea.style.opacity = "0"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied!' : 'Copy failed!'; // Optionally show a temporary message to the user var copyButton = document.querySelector('.copy-btn'); var originalText = copyButton.textContent; copyButton.textContent = msg; setTimeout(function() { copyButton.textContent = originalText; }, 2000); } catch (err) { console.error('Fallback: Oops, unable to copy', err); // Fallback for browsers that don't support execCommand var copyButton = document.querySelector('.copy-btn'); var originalText = copyButton.textContent; copyButton.textContent = 'Copy failed!'; setTimeout(function() { copyButton.textContent = originalText; }, 2000); } document.body.removeChild(textArea); } function toggleFaq(element) { var parent = element.parentElement; parent.classList.toggle('open'); } // Initial calculation on page load with default values document.addEventListener("DOMContentLoaded", function() { resetCalculator(); // Load defaults and calculate }); // Add Chart.js library dynamically (or include in if preferred) var chartJsScript = document.createElement('script'); chartJsScript.src = 'https://cdn.jsdelivr.net/npm/chart.js@3.7.0/dist/chart.min.js'; chartJsScript.onload = function() { console.log("Chart.js loaded"); // Re-run calculation after chart.js is loaded to ensure chart is drawn resetCalculator(); }; document.head.appendChild(chartJsScript);

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