Cold Rolled Steel Weight Calculator

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Cold Rolled Steel Weight Calculator

Accurate Weight Calculation for Your Steel Needs

Cold Rolled Steel Weight Calculator

Sheet Plate Bar Tube Select the form of cold rolled steel.
Enter the length of the steel piece. Units: Millimeters (mm)
Enter the width of the steel piece. Units: Millimeters (mm)
Enter the thickness of the steel piece. Units: Millimeters (mm)
Density of steel in kg/m³. Typical value for carbon steel is 7850 kg/m³.

Volume

Surface Area

Steel Form Factor

N/A

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

Results copied!

Chart showing weight variation based on thickness.

Common Cold Rolled Steel Sheet Weights per Square Meter
Thickness (mm) Weight (kg/m²)
0.5 3.93
0.7 5.50
1.0 7.85
1.5 11.78
2.0 15.70
2.5 19.63
3.0 23.55

What is Cold Rolled Steel Weight?

The term "Cold Rolled Steel Weight" refers to the calculated mass of a piece of steel that has undergone the cold rolling process. Cold rolling is a metalworking process that improves the surface finish and tolerance of steel by passing it through rollers at or near room temperature. This process makes the steel stronger, harder, and dimensionally more accurate compared to hot-rolled steel. Understanding the weight of cold rolled steel is crucial for various industries, including automotive, manufacturing, construction, and fabrication, as it directly impacts material cost, transportation logistics, structural integrity calculations, and project budgeting. This cold rolled steel weight calculator is designed to simplify this essential calculation for engineers, designers, fabricators, and procurement specialists.

Who Should Use This Calculator?

This calculator is an invaluable tool for anyone working with cold rolled steel in physical forms like sheets, plates, bars, or tubes. This includes:

  • Fabricators and Manufacturers: To accurately estimate material needs, optimize cutting patterns, and control production costs.
  • Engineers and Designers: To verify material specifications, calculate loads, and ensure structural compliance.
  • Procurement and Purchasing Agents: To budget for steel materials, compare supplier quotes, and manage inventory effectively.
  • Students and Educators: To learn about material properties and the practical application of physics formulas in engineering.
  • Hobbyists and DIY Enthusiasts: When undertaking projects that involve custom steel components.

Common Misconceptions

Several misconceptions surround steel weight calculation:

  • Assuming uniform density: While 7850 kg/m³ is a standard figure, slight variations can occur based on the exact alloy composition. Our calculator uses this standard value, but it's good practice to confirm specific alloy densities if precision is paramount.
  • Ignoring the process type: Hot-rolled and cold-rolled steel have different properties and densities, though the standard density figure is often the same. The cold rolling process primarily affects mechanical properties and surface finish, not the fundamental mass per volume.
  • Confusing weight with volume: Weight is mass times gravity (or simply mass if measured in kg). Volume is the space occupied. While related, they are distinct. This calculator focuses on calculating mass (weight in kg) from volume and density.
  • Overlooking unit consistency: A common error is mixing units (e.g., using inches for length and millimeters for thickness). Our calculator enforces metric units (mm for dimensions, kg/m³ for density) to ensure accuracy.

Using a precise steel sheet weight calculator like this one helps mitigate these common errors.

Cold Rolled Steel Weight Formula and Mathematical Explanation

Calculating the weight of cold rolled steel is a straightforward application of fundamental physics principles, primarily concerning volume and density. The core formula used by this cold rolled steel weight calculator is:

Weight = Volume × Density

Step-by-Step Derivation:

  1. Determine the Volume: The first step is to calculate the three-dimensional space occupied by the piece of steel. The method for calculating volume depends on the shape of the steel (sheet, plate, bar, tube). For standard rectangular shapes (sheets, plates, bars), the volume is calculated as:

    Volume = Length × Width × Thickness

    For other shapes like tubes, specific geometric formulas are applied. The calculator handles different forms, adjusting the volume calculation accordingly.
  2. Ensure Consistent Units: It is critical that all dimensions used to calculate volume are in the same unit, and then converted to the unit required for the density. Our calculator converts all input dimensions (length, width, thickness) from millimeters (mm) into meters (m) to align with the standard density unit of kg/m³. For example, 1 mm = 0.001 m. Therefore, Volume in m³ = (Length in m) × (Width in m) × (Thickness in m).
  3. Apply Density: Density is a measure of mass per unit volume. For steel, this is typically expressed in kilograms per cubic meter (kg/m³). The standard density for carbon steel is approximately 7850 kg/m³.
  4. Calculate Weight: Once the volume (in m³) and density (in kg/m³) are known, the weight (mass) in kilograms (kg) can be calculated by multiplying the two values.

Variable Explanations:

Length (L)
The longest dimension of the steel piece.
Width (W)
The second dimension of the steel piece, typically for flat forms like sheets or plates.
Thickness (T)
The smallest dimension of the steel piece, representing its depth or gauge.
Density (ρ)
The mass of the steel per unit volume. This is a material property. For carbon steel, it's commonly taken as 7850 kg/m³.
Volume (V)
The amount of space the steel occupies, calculated from its dimensions.
Weight (M)
The final calculated mass of the steel piece in kilograms.

Variables Table:

Key Variables in Steel Weight Calculation
Variable Meaning Unit Typical Range/Value
Length (L) Steel piece length Millimeters (mm) 1 – 12000+ mm
Width (W) Steel piece width Millimeters (mm) 1 – 3000+ mm
Thickness (T) Steel piece thickness Millimeters (mm) 0.1 – 50+ mm
Density (ρ) Mass per unit volume kg/m³ ~7850 kg/m³ (Carbon Steel)
Volume (V) Space occupied by steel Cubic Meters (m³) Calculated
Weight (M) Mass of the steel piece Kilograms (kg) Calculated

Practical Examples (Real-World Use Cases)

Let's illustrate the use of the cold rolled steel weight calculator with practical scenarios:

Example 1: Calculating Weight for a Sheet Metal Enclosure

A workshop needs to fabricate a custom enclosure for electronic equipment using cold rolled steel sheet. They plan to use a standard sheet size cut down.

  • Steel Type: Sheet
  • Length: 1500 mm
  • Width: 1000 mm
  • Thickness: 1.5 mm
  • Density: 7850 kg/m³

Calculation Process:

  1. Convert dimensions to meters: L = 1.5 m, W = 1.0 m, T = 0.0015 m.
  2. Calculate Volume: V = 1.5 m × 1.0 m × 0.0015 m = 0.00225 m³.
  3. Calculate Weight: Weight = 0.00225 m³ × 7850 kg/m³ = 17.66 kg.

Interpretation: The calculator would output approximately 17.66 kg. This weight is essential for the purchasing department to order the correct amount of material, for the shipping team to plan handling, and for structural checks if the enclosure needs to support any load.

Example 2: Determining Weight for a Structural Steel Bar

An engineer is designing a small structural component that requires a cold rolled steel bar.

  • Steel Type: Bar (assuming square profile for simplicity)
  • Length: 3000 mm
  • Width (Side of square): 20 mm
  • Thickness (Side of square): 20 mm
  • Density: 7850 kg/m³

Calculation Process:

  1. Convert dimensions to meters: L = 3.0 m, Width = 0.020 m, Thickness = 0.020 m.
  2. Calculate Volume: V = 3.0 m × 0.020 m × 0.020 m = 0.0012 m³.
  3. Calculate Weight: Weight = 0.0012 m³ × 7850 kg/m³ = 9.42 kg.

Interpretation: The calculated weight is 9.42 kg. This figure helps in confirming the material grade suitability for the structural load calculations and ensures the correct quantity is ordered for the project, contributing to a precise steel fabrication cost estimate.

How to Use This Cold Rolled Steel Weight Calculator

Our user-friendly cold rolled steel weight calculator makes determining steel weight simple. Follow these steps:

Step-by-Step Instructions:

  1. Select Steel Type: Choose the form of your cold rolled steel (Sheet, Plate, Bar, Tube) from the dropdown menu. This helps the calculator adjust potential geometric considerations.
  2. Input Dimensions: Enter the length, width, and thickness of your steel piece in millimeters (mm) into the respective input fields. Ensure these measurements are accurate. For bar or tube profiles, 'Width' might represent the diameter or side length of the cross-section.
  3. Enter Steel Density: The default density is set to 7850 kg/m³, typical for carbon steel. If you are working with a specific alloy that has a known different density, you can update this field.
  4. Click 'Calculate Weight': Once all values are entered, click the "Calculate Weight" button.

How to Read Results:

  • Main Result (Highlighted): This is the total calculated weight of your cold rolled steel piece in kilograms (kg).
  • Intermediate Values:
    • Volume: Shows the calculated volume of the steel in cubic meters (m³).
    • Surface Area: Displays the total surface area in square meters (m²), useful for coating or finishing calculations.
    • Steel Form Factor: This might represent a derived metric or a simple indicator related to the geometry (e.g., ratio of surface area to volume). Its exact meaning depends on the specific calculations implemented for different steel types.
  • Formula Explanation: A reminder of the basic formula used: Weight = Volume × Density.
  • Chart: The dynamic chart visualizes how the weight changes with variations in thickness, keeping other dimensions constant.
  • Table: Provides a quick reference for common weights per square meter for different thicknesses of steel sheets.

Decision-Making Guidance:

The calculated weight is critical for several decisions:

  • Cost Estimation: Use the weight to estimate raw material costs based on the price per kilogram of steel.
  • Logistics Planning: Determine handling equipment needs, shipping capacity, and transportation costs.
  • Structural Analysis: Input the weight into engineering software or calculations to assess load-bearing capacities and material suitability.
  • Inventory Management: Track material stock levels accurately.

The "Copy Results" button allows you to easily transfer these figures for use in spreadsheets or documents, making your steel material estimation process more efficient.

Key Factors That Affect Cold Rolled Steel Weight Results

While the core calculation is straightforward, several factors can influence the accuracy and interpretation of the resulting steel weight:

  1. Dimensional Accuracy: The precision of the input measurements (length, width, thickness) is paramount. Even small deviations in millimeters can lead to noticeable differences in calculated weight, especially for large quantities. Cold-rolled steel is known for its tight tolerances, but verifying these is crucial.
  2. Steel Density Variations: Although 7850 kg/m³ is a standard value for carbon steel, the precise density can vary slightly depending on the specific alloy composition (e.g., presence of other elements like chromium, nickel, manganese). High-alloy steels or stainless steels may have different densities. Always refer to the manufacturer's specifications for critical applications.
  3. Shape Complexity: The calculator assumes relatively simple geometric shapes. For complex profiles, tubes, or custom extrusions, the volume calculation might require more advanced geometric formulas or CAD modeling. Our calculator simplifies this by allowing selection of basic forms.
  4. Temperature Effects: While cold rolling occurs at room temperature, the density of materials can change slightly with significant temperature fluctuations. For most practical purposes, the standard density is sufficient, but extreme temperature environments might warrant adjustments.
  5. Measurement Units Consistency: As mentioned, mixing units (e.g., inches and millimeters) is a common pitfall. This calculator standardizes on millimeters for dimensions and requires density in kg/m³, ensuring a consistent calculation in kilograms.
  6. Surface Treatments and Coatings: While the weight calculation is based on the steel's base volume and density, applying coatings (like paint, galvanization, or plating) will add a small amount of weight. This calculator does not include the weight of any applied coatings.
  7. Steel Grade and Alloy: Different grades of cold-rolled steel might have slightly varying densities. For instance, stainless steels often have a slightly higher density than plain carbon steels. Ensure the density value used matches the specific grade of steel.

Frequently Asked Questions (FAQ)

Q1: What is the difference between hot-rolled and cold-rolled steel weight?
A: The weight calculation method (Volume x Density) is the same for both. The primary differences lie in their mechanical properties, surface finish, and dimensional accuracy resulting from the manufacturing process, not their intrinsic weight per volume. Cold-rolled steel typically has a better surface finish and tighter tolerances.
Q2: Can I use this calculator for stainless steel?
A: You can use this calculator for stainless steel if you adjust the 'Steel Density' input. Stainless steel typically has a density around 7900-8000 kg/m³, slightly higher than carbon steel. Always check the specific alloy's density.
Q3: My steel dimensions are in inches. How do I convert?
A: To convert inches to millimeters, multiply by 25.4. For example, 1 inch = 25.4 mm, 4 inches = 101.6 mm. Enter these converted values into the calculator.
Q4: What does the 'Steel Form Factor' represent?
A: The 'Steel Form Factor' is a calculated metric. For simpler shapes like sheets, it might represent the surface area per unit volume, which can be relevant for surface treatment calculations. For tubes, it might relate to wall thickness relative to diameter. Its specific interpretation can vary.
Q5: How accurate is the standard density of 7850 kg/m³?
A: The value 7850 kg/m³ is a widely accepted average density for carbon steel. For most standard applications, it provides sufficient accuracy. For highly precise engineering or specialized alloys, consulting the material datasheet for exact density is recommended.
Q6: What is the typical tolerance for cold rolled steel thickness?
A: Cold-rolled steel is known for its tight tolerances, often within +/- 0.05 mm to +/- 0.1 mm depending on the thickness and grade. This precision ensures the calculated weight is quite accurate if the nominal thickness is used.
Q7: Does the calculator account for waste material during cutting?
A: No, this calculator determines the weight of the final piece based on its exact dimensions. It does not account for material waste (e.g., kerf loss from cutting) or offcuts. For purchasing decisions, you may need to calculate total raw material required, including waste.
Q8: Can I calculate the weight of a complex shape like an I-beam?
A: This calculator is primarily designed for basic shapes like sheets, plates, bars, and simple tubes. For complex structural shapes like I-beams, you would need to calculate the volume by breaking the shape down into its component rectangles or by using specialized engineering software or tables specific to that profile.

Related Tools and Internal Resources

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var steelTypes = { "sheet": { dimensions: ["length", "width", "thickness"], formula: "l * w * t" }, "plate": { dimensions: ["length", "width", "thickness"], formula: "l * w * t" }, "bar": { dimensions: ["length", "width", "thickness"], formula: "l * w * t" }, // Assuming square bar for simplicity "tube": { dimensions: ["length", "outer_diameter", "wall_thickness"], formula: "PI * (od^2 / 4 – (od – 2*wt)^2 / 4) * l" } // Simplified tube volume formula }; var currentSteelType = "sheet"; function updateInputVisibility() { var type = document.getElementById("steelType").value; currentSteelType = type; var widthGroup = document.getElementById("widthGroup"); var widthLabel = widthGroup.querySelector("label"); var widthInput = widthGroup.querySelector("input"); var widthHelper = widthGroup.querySelector(".helper-text"); if (type === "sheet" || type === "plate") { widthLabel.textContent = "Width"; widthInput.setAttribute("placeholder", "e.g., 1200"); widthHelper.textContent = "Enter the width of the steel piece. Units: Millimeters (mm)"; widthGroup.style.display = ""; } else if (type === "bar") { widthLabel.textContent = "Side Length"; widthInput.setAttribute("placeholder", "e.g., 20"); widthHelper.textContent = "Enter the side length of the square bar. Units: Millimeters (mm)"; widthGroup.style.display = ""; } else if (type === "tube") { widthLabel.textContent = "Outer Diameter"; widthInput.setAttribute("placeholder", "e.g., 50"); widthHelper.textContent = "Enter the outer diameter of the tube. Units: Millimeters (mm)"; widthGroup.style.display = ""; } } function validateInput(id, minValue, maxValue, isRequired = true) { var input = document.getElementById(id); var errorElement = document.getElementById(id + "Error"); var value = parseFloat(input.value); var isEmpty = input.value.trim() === ""; if (errorElement) { errorElement.textContent = ""; errorElement.classList.remove("visible"); } if (isRequired && isEmpty) { if (errorElement) errorElement.textContent = "This field is required."; if (errorElement) errorElement.classList.add("visible"); return false; } if (!isEmpty && isNaN(value)) { if (errorElement) errorElement.textContent = "Please enter a valid number."; if (errorElement) errorElement.classList.add("visible"); return false; } if (!isEmpty && value <= 0) { if (errorElement) errorElement.textContent = "Value must be positive."; if (errorElement) errorElement.classList.add("visible"); return false; } if (minValue !== null && !isEmpty && value maxValue) { if (errorElement) errorElement.textContent = "Value is too high."; if (errorElement) errorElement.classList.add("visible"); return false; } return true; } function calculateWeight() { var isValid = true; var lengthInput = document.getElementById("length"); var widthInput = document.getElementById("width"); var thicknessInput = document.getElementById("thickness"); var densityInput = document.getElementById("density"); isValid = validateInput("length", 1, 12000) && isValid; // Max length approx 12m isValid = validateInput("width", 1, 3000) && isValid; // Max width approx 3m isValid = validateInput("thickness", 0.1, 50) && isValid; // Typical range 0.1mm to 50mm isValid = validateInput("density", 1000, 20000) && isValid; // Realistic density range for metals if (!isValid) { document.getElementById("results-container").classList.remove("visible"); return; } var length_mm = parseFloat(lengthInput.value); var width_mm = parseFloat(widthInput.value); var thickness_mm = parseFloat(thicknessInput.value); var density_kg_m3 = parseFloat(densityInput.value); var length_m = length_mm / 1000; var width_m = width_mm / 1000; var thickness_m = thickness_mm / 1000; var volume_m3; var surface_area_m2; var formFactor = null; var steelType = document.getElementById("steelType").value; if (steelType === "sheet" || steelType === "plate") { volume_m3 = length_m * width_m * thickness_m; surface_area_m2 = 2 * (length_m * width_m + length_m * thickness_m + width_m * thickness_m); formFactor = (surface_area_m2 / volume_m3).toFixed(2); // Example: Surface Area to Volume Ratio } else if (steelType === "bar") { // Assuming square bar volume_m3 = length_m * width_m * thickness_m; // width_m and thickness_m are side lengths surface_area_m2 = 2 * (width_m * thickness_m) + 4 * (length_m * width_m); // Top/bottom + 4 sides formFactor = (surface_area_m2 / volume_m3).toFixed(2); } else if (steelType === "tube") { // Assuming round tube var od_m = width_mm / 1000; var wt_m = thickness_mm / 1000; var id_m = od_m – 2 * wt_m; if (id_m < 0) id_m = 0; // Ensure inner diameter is not negative volume_m3 = Math.PI * (Math.pow(od_m, 2) – Math.pow(id_m, 2)) / 4 * length_m; surface_area_m2 = Math.PI * od_m * length_m + Math.PI * id_m * length_m; // Outer surface + inner surface formFactor = (surface_area_m2 / volume_m3).toFixed(2); } var weight_kg = volume_m3 * density_kg_m3; document.getElementById("volumeResult").textContent = volume_m3.toFixed(6); document.getElementById("surfaceAreaResult").textContent = surface_area_m2.toFixed(4); document.getElementById("formFactorResult").textContent = formFactor !== null ? formFactor : "N/A"; document.getElementById("main-result").textContent = weight_kg.toFixed(2) + " kg"; document.getElementById("results-container").classList.add("visible"); updateChart(thickness_mm, weight_kg); } function resetCalculator() { document.getElementById("steelType").value = "sheet"; document.getElementById("length").value = "2400"; document.getElementById("width").value = "1200"; document.getElementById("thickness").value = "1.5"; document.getElementById("density").value = "7850"; // Clear errors var errorElements = document.querySelectorAll('.error-message'); for (var i = 0; i < errorElements.length; i++) { errorElements[i].textContent = ""; errorElements[i].classList.remove("visible"); } document.getElementById("results-container").classList.remove("visible"); document.getElementById("copyConfirmation").style.display = "none"; updateInputVisibility(); // Clear chart if reset var ctx = document.getElementById('weightChart').getContext('2d'); ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height); } function copyResults() { var mainResult = document.getElementById("main-result").textContent; var volume = document.getElementById("volumeResult").textContent; var surfaceArea = document.getElementById("surfaceAreaResult").textContent; var formFactor = document.getElementById("formFactorResult").textContent; var steelType = document.getElementById("steelType").options[document.getElementById("steelType").selectedIndex].text; var length = document.getElementById("length").value; var width = document.getElementById("width").value; var thickness = document.getElementById("thickness").value; var density = document.getElementById("density").value; var textToCopy = "Cold Rolled Steel Weight Calculation Results:\n\n"; textToCopy += "Steel Type: " + steelType + "\n"; textToCopy += "Length: " + length + " mm\n"; textToCopy += "Width: " + width + " mm\n"; textToCopy += "Thickness: " + thickness + " mm\n"; textToCopy += "Density: " + density + " kg/m³\n\n"; textToCopy += "—————————–\n"; textToCopy += "Total Weight: " + mainResult + "\n"; textToCopy += "Volume: " + volume + " m³\n"; textToCopy += "Surface Area: " + surfaceArea + " m²\n"; textToCopy += "Steel Form Factor: " + formFactor + "\n"; textToCopy += "\nFormula Used: Weight = Volume × Density"; navigator.clipboard.writeText(textToCopy).then(function() { var confirmation = document.getElementById("copyConfirmation"); confirmation.style.display = "block"; setTimeout(function() { confirmation.style.display = "none"; }, 3000); }, function() { alert("Failed to copy results. Please copy manually."); }); } function updateChart(currentThickness, currentWeight) { var canvas = document.getElementById('weightChart'); var ctx = canvas.getContext('2d'); var maxThickness = 5; // Max thickness to display on chart var thicknessStep = maxThickness / 5; // Divide into 5 intervals var weights = []; var thicknesses = []; var baseLength = parseFloat(document.getElementById("length").value) / 1000; var baseWidth = parseFloat(document.getElementById("width").value) / 1000; var baseDensity = parseFloat(document.getElementById("density").value); var steelType = document.getElementById("steelType").value; // Calculate weights for different thicknesses for (var t = 0; t <= maxThickness; t += thicknessStep) { if (t === 0) continue; // Skip zero thickness thicknesses.push(parseFloat(t.toFixed(2))); var calculatedWeight; var thickness_m = t / 1000; if (steelType === "sheet" || steelType === "plate") { var volume = baseLength * baseWidth * thickness_m; calculatedWeight = volume * baseDensity; } else if (steelType === "bar") { var width_m_bar = baseWidth / 1000; // Assuming baseWidth is side length var volume = baseLength * width_m_bar * thickness_m; calculatedWeight = volume * baseDensity; } else if (steelType === "tube") { var od_m = baseWidth / 1000; // Assuming baseWidth is OD var wt_m = thickness_m; // Current thickness IS the wall thickness var id_m = od_m – 2 * wt_m; if (id_m 0 ? chartHeight / maxWeight : 1; var chartWidth = canvas.width – 60; // Leave space for labels var thicknessScale = maxThickness > 0 ? chartWidth / maxThickness : 1; // Draw axes ctx.strokeStyle = '#ccc'; ctx.lineWidth = 1; ctx.beginPath(); ctx.moveTo(40, 10); // Y-axis start ctx.lineTo(40, canvas.height – 30); // Y-axis end ctx.lineTo(canvas.width – 20, canvas.height – 30); // X-axis end ctx.stroke(); // Draw Y-axis labels (Weight) ctx.fillStyle = '#555'; ctx.textAlign = 'right'; ctx.textBaseline = 'middle'; var labelCount = 5; for (var i = 0; i <= labelCount; i++) { var yPos = canvas.height – 30 – (chartHeight / labelCount) * i; var labelValue = (maxWeight / labelCount * i).toFixed(1); ctx.fillText(labelValue + " kg", 35, yPos); } // Draw X-axis labels (Thickness) ctx.textAlign = 'center'; for (var i = 0; i <= thicknesses.length; i++) { var xPos = 40 + (thicknessScale * thicknesses[i]); ctx.fillText(thicknesses[i] + " mm", xPos, canvas.height – 15); } // Draw data series line ctx.strokeStyle = 'var(–primary-color)'; ctx.lineWidth = 2; ctx.beginPath(); for (var i = 0; i < thicknesses.length; i++) { var x = 40 + thicknessScale * thicknesses[i]; var y = canvas.height – 30 – weights[i] * weightScale; if (i === 0) { ctx.moveTo(x, y); } else { ctx.lineTo(x, y); } } ctx.stroke(); // Add current point indicator var currentX = 40 + thicknessScale * currentThickness; var currentY = canvas.height – 30 – currentWeight * weightScale; ctx.fillStyle = 'var(–success-color)'; ctx.beginPath(); ctx.arc(currentX, currentY, 5, 0, Math.PI * 2); ctx.fill(); } // Initial setup document.addEventListener('DOMContentLoaded', function() { updateInputVisibility(); document.getElementById("steelType").addEventListener("change", updateInputVisibility); // Initial calculation on load if defaults are set if (document.getElementById("length").value && document.getElementById("width").value && document.getElementById("thickness").value && document.getElementById("density").value) { calculateWeight(); } });

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