Aluminum Sheet Weight Per Square Foot Calculator
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Aluminum Sheet Weight Per Square Foot Calculator
Aluminum Sheet Weight Calculator
Your Results
—
Formula Used:
Weight = (Density / 1728) * (Thickness_in * Width_in * Length_in)
Where 1728 is the conversion factor from cubic inches to cubic feet.
Weight per Square Foot = Total Weight / Sheet Area.
Weight Distribution by Dimension
This chart visualizes how the total weight scales with changes in thickness, width, and length, assuming other dimensions are fixed at the calculated values.
Material Properties Table
| Property |
Value |
Unit |
| Aluminum Alloy Density |
— |
lb/ft³ |
| Sheet Thickness |
— |
in |
| Sheet Width |
— |
in |
| Sheet Length |
— |
in |
| Sheet Area |
— |
ft² |
| Sheet Volume |
— |
ft³ |
| Total Weight |
— |
lbs |
| Weight per Sq Ft |
— |
lbs/ft² |
This table summarizes the input parameters and calculated outputs for your aluminum sheet.
What is Aluminum Sheet Weight Per Square Foot?
The aluminum sheet weight per square foot is a critical metric used in manufacturing, fabrication, and engineering to quantify the mass of aluminum sheet material over a specific surface area. This calculation is essential for cost estimation, material handling, structural design, and inventory management. Understanding the weight of aluminum per square foot allows professionals to accurately budget for projects, determine the necessary lifting equipment, and ensure that structural components can support the imposed loads. It's a practical measure that bridges the gap between material specifications and real-world application needs. Many professionals involved in aerospace, automotive, construction, and custom fabrication rely heavily on precise weight calculations. Common misconceptions include assuming all aluminum alloys have the same density or that weight is solely dependent on thickness without considering other dimensions.
Aluminum Sheet Weight Per Square Foot Formula and Mathematical Explanation
Calculating the aluminum sheet weight per square foot involves a series of straightforward steps based on the material's physical properties and dimensions. The core idea is to first determine the total volume of the aluminum sheet, then use its density to find the total weight, and finally divide by the total area to get the weight per square foot.
Step-by-Step Derivation:
- Convert Dimensions to Consistent Units: All dimensions (thickness, width, length) are typically given in inches. To calculate volume in cubic feet (which is compatible with density in lb/ft³), we'll work with feet or convert appropriately.
- Calculate Sheet Volume: The volume of a rectangular sheet is Thickness × Width × Length. We need to convert these inch measurements to feet by dividing by 12, or calculate in cubic inches and then convert to cubic feet. A more direct approach for the weight calculation is to keep dimensions in inches for volume calculation in cubic inches, then convert to cubic feet.
Volume (in³) = Thickness (in) × Width (in) × Length (in)
- Convert Volume to Cubic Feet: Since there are 12 inches in a foot, there are 12 × 12 × 12 = 1728 cubic inches in one cubic foot.
Volume (ft³) = Volume (in³) / 1728
- Calculate Total Weight: Multiply the volume in cubic feet by the density of the aluminum alloy (in lb/ft³).
Total Weight (lbs) = Volume (ft³) × Density (lb/ft³)
- Calculate Sheet Area: The surface area of the sheet is Width × Length. We'll calculate this in square inches and convert to square feet.
Area (in²) = Width (in) × Length (in)
Area (ft²) = Area (in²) / 144 (since 12in * 12in = 144 in²)
- Calculate Weight Per Square Foot: Divide the total weight by the total area in square feet.
Weight per Square Foot (lbs/ft²) = Total Weight (lbs) / Area (ft²)
Variable Explanations:
Here's a breakdown of the variables involved in the calculation:
| Variable |
Meaning |
Unit |
Typical Range |
| Density (ρ) |
Mass per unit volume of the aluminum alloy. This is the most critical factor differentiating alloys. |
lb/ft³ (pounds per cubic foot) |
160 – 170 lb/ft³ (e.g., pure aluminum is ~168.5 lb/ft³, common alloys like 6061 are slightly denser) |
| Thickness (T) |
The smallest dimension of the aluminum sheet. |
inches (in) |
0.01 to 0.25 in (common sheet metal gauges) |
| Width (W) |
One of the larger dimensions of the sheet. Standard widths vary. |
inches (in) |
12 to 96 in (common industrial sizes) |
| Length (L) |
The longest dimension of the sheet. Standard lengths vary. |
inches (in) |
24 to 240 in (common industrial sizes) |
| Volume (V) |
The total three-dimensional space occupied by the sheet. |
cubic feet (ft³) or cubic inches (in³) |
Varies widely based on dimensions. |
| Area (A) |
The two-dimensional surface area of one side of the sheet. |
square feet (ft²) or square inches (in²) |
Varies widely based on width and length. |
| Total Weight (Wt) |
The total mass of the aluminum sheet. |
pounds (lbs) |
Varies widely based on dimensions and density. |
| Weight per Sq Ft |
The mass of aluminum over one square foot of surface area. |
lbs/ft² (pounds per square foot) |
Typically 1.0 – 5.0 lbs/ft² for common sheet thicknesses. |
Practical Examples (Real-World Use Cases)
Example 1: Calculating Weight for a Large Fabrication Project
A fabrication shop is quoting a project that requires several sheets of 5052 aluminum alloy. They need to determine the total weight of material required. They have specified sheets that are 0.125 inches thick, 48 inches wide, and 96 inches long.
- Inputs:
- Aluminum Alloy Density: 168.5 lb/ft³ (typical for many aluminum alloys)
- Sheet Thickness: 0.125 in
- Sheet Width: 48 in
- Sheet Length: 96 in
- Calculations:
- Sheet Area (in²) = 48 in * 96 in = 4608 in²
- Sheet Area (ft²) = 4608 in² / 144 in²/ft² = 32 ft²
- Sheet Volume (in³) = 0.125 in * 48 in * 96 in = 576 in³
- Sheet Volume (ft³) = 576 in³ / 1728 in³/ft³ = 0.333 ft³
- Total Weight (lbs) = 0.333 ft³ * 168.5 lb/ft³ ≈ 56.1 lbs
- Weight per Square Foot (lbs/ft²) = 56.1 lbs / 32 ft² ≈ 1.75 lbs/ft²
- Outputs:
- Total Weight: Approximately 56.1 lbs per sheet
- Weight per Square Foot: Approximately 1.75 lbs/ft²
Financial Interpretation: Knowing that each sheet weighs about 56.1 lbs helps the shop estimate shipping costs, plan forklift usage, and order the correct quantity of raw material. The weight per square foot (1.75 lbs/ft²) is crucial for material cost calculations based on area coverage.
Example 2: Estimating Material for a Custom Enclosure
An engineer is designing a custom electronic enclosure using 6061 aluminum. The design calls for a sheet that is 0.0625 inches thick (16 gauge), 24 inches wide, and 36 inches long. They need to verify the weight for structural assessment.
- Inputs:
- Aluminum Alloy Density: 168.5 lb/ft³ (adjust if specific 6061 density is known, but this is a good average)
- Sheet Thickness: 0.0625 in
- Sheet Width: 24 in
- Sheet Length: 36 in
- Calculations:
- Sheet Area (in²) = 24 in * 36 in = 864 in²
- Sheet Area (ft²) = 864 in² / 144 in²/ft² = 6 ft²
- Sheet Volume (in³) = 0.0625 in * 24 in * 36 in = 54 in³
- Sheet Volume (ft³) = 54 in³ / 1728 in³/ft³ = 0.03125 ft³
- Total Weight (lbs) = 0.03125 ft³ * 168.5 lb/ft³ ≈ 5.27 lbs
- Weight per Square Foot (lbs/ft²) = 5.27 lbs / 6 ft² ≈ 0.88 lbs/ft²
- Outputs:
- Total Weight: Approximately 5.27 lbs per sheet
- Weight per Square Foot: Approximately 0.88 lbs/ft²
Financial Interpretation: The relatively light weight per square foot (0.88 lbs/ft²) indicates this is a thin gauge aluminum, suitable for enclosures where weight is a concern. This helps in selecting appropriate fasteners and mounting hardware, and also informs the overall cost if purchasing by weight.
How to Use This Aluminum Sheet Weight Per Square Foot Calculator
Our calculator is designed for simplicity and accuracy. Follow these steps to get your weight calculation:
- Input Alloy Density: Enter the density of your specific aluminum alloy. A common value for many alloys is 168.5 lb/ft³, but refer to your material specifications for the most accurate figure.
- Input Sheet Dimensions: Enter the thickness, width, and length of your aluminum sheet in inches. Ensure you are using consistent units.
- Click "Calculate Weight": The calculator will process your inputs and display the results in real-time.
How to Read Results:
- Total Weight: This is the estimated total weight of the single aluminum sheet in pounds (lbs).
- Weight per Sq Ft: This is the crucial metric showing how much one square foot of your aluminum sheet weighs in pounds (lbs/ft²). This is often used for material cost and handling estimations.
- Sheet Volume & Sheet Area: These are intermediate values showing the calculated volume in cubic feet and the surface area in square feet for your sheet.
Decision-Making Guidance:
Use the 'Weight per Sq Ft' figure to compare different aluminum materials or gauges for cost-effectiveness. The 'Total Weight' is vital for logistics: determining if a sheet can be manually handled, what lifting equipment is needed, and estimating shipping weights. Always double-check your material's specific density for the most precise calculations. If you need to calculate the weight for multiple sheets, simply multiply the 'Total Weight' by the number of sheets.
Key Factors That Affect Aluminum Sheet Weight Results
Several factors influence the calculated weight of an aluminum sheet per square foot. Understanding these nuances is key to achieving accurate estimates:
- Aluminum Alloy Density: This is the most significant factor. Different aluminum alloys (e.g., 3003, 5052, 6061, 7075) have slightly different compositions, affecting their density. Pure aluminum has a density of about 168.5 lb/ft³, but common alloying elements can increase this slightly. Always use the specific alloy's density for precision.
- Sheet Thickness (Gauge): Directly proportional to weight. A thicker sheet will always weigh more than a thinner sheet of the same dimensions and alloy. Gauges are standardized but can have manufacturing tolerances.
- Sheet Dimensions (Width & Length): A larger surface area (wider or longer sheet) means more material, thus a higher total weight. The weight per square foot, however, remains constant for a given thickness and alloy.
- Manufacturing Tolerances: Metal sheets are not perfect. There are acceptable variations in thickness (gauge tolerances) and flatness. These minor deviations can slightly alter the actual weight compared to theoretical calculations.
- Surface Treatments and Coatings: While typically negligible for weight calculations, some specialized coatings or claddings could add a small amount of mass. However, for standard aluminum sheets, this is usually not a primary concern.
- Temperature Effects: Materials expand and contract with temperature. While the density change of aluminum with typical operating temperatures is very small, it's a consideration in highly precise scientific applications, though not for standard fabrication weight calculations.
Frequently Asked Questions (FAQ)
Q1: What is the standard density of aluminum?
A: The density of pure aluminum is approximately 168.5 pounds per cubic foot (lb/ft³). However, common aluminum alloys can range slightly higher, typically between 160 to 170 lb/ft³. For critical calculations, always check the specific alloy's datasheet.
Q2: How does aluminum gauge relate to thickness?
A: Aluminum gauge is a system used to denote thickness, commonly in the US. Lower gauge numbers indicate thicker material. For example, 16 gauge is typically 0.0625 inches, and 10 gauge is 0.100 inches. Our calculator uses direct thickness in inches for accuracy.
Q3: Can I use this calculator for aluminum plates?
A: Yes, provided you input the correct dimensions (thickness, width, length) and the density of the aluminum alloy used. The principles remain the same whether it's called a sheet or a plate.
Q4: Does the type of aluminum alloy matter for weight?
A: Yes, slightly. While pure aluminum density is a good baseline, different alloys (like 6061 vs. 7075) have different compositions and thus slightly different densities, which will affect the calculated weight. Using the specific alloy density is recommended for precision.
Q5: What is a practical range for aluminum sheet weight per square foot?
A: For common sheet thicknesses (e.g., 0.0625″ to 0.25″), the weight per square foot typically ranges from about 0.5 lbs/ft² to 3 lbs/ft². Thicker sheets or denser alloys will fall at the higher end of this spectrum.
Q6: How do I convert kilograms to pounds, or meters to feet?
A: 1 kilogram ≈ 2.20462 pounds. 1 meter ≈ 3.28084 feet. If your dimensions are in metric, convert them to inches first (1 meter = 39.37 inches) before using this calculator, or adjust the formulas accordingly.
Q7: What if I need to calculate the weight for multiple identical sheets?
A: Simply multiply the 'Total Weight' result by the number of identical sheets you have. The 'Weight per Sq Ft' remains the same for each sheet.
Q8: Are there any tools that help determine aluminum gauge?
A: Yes, there are online aluminum gauge calculators and charts available that can help you find the equivalent thickness in inches for a given gauge number. This is useful if your material specifications are listed by gauge.
Related Tools and Internal Resources
var densityInput = document.getElementById('density');
var thicknessInput = document.getElementById('thickness');
var widthInput = document.getElementById('width');
var lengthInput = document.getElementById('length');
var densityError = document.getElementById('density-error');
var thicknessError = document.getElementById('thickness-error');
var widthError = document.getElementById('width-error');
var lengthError = document.getElementById('length-error');
var totalWeightOutput = document.getElementById('totalWeight');
var weightPerSqFtOutput = document.getElementById('weightPerSqFt');
var sheetVolumeOutput = document.getElementById('sheetVolume');
var sheetAreaOutput = document.getElementById('sheetArea');
var tableDensity = document.getElementById('tableDensity');
var tableThickness = document.getElementById('tableThickness');
var tableWidth = document.getElementById('tableWidth');
var tableLength = document.getElementById('tableLength');
var tableArea = document.getElementById('tableArea');
var tableVolume = document.getElementById('tableVolume');
var tableTotalWeight = document.getElementById('tableTotalWeight');
var tableWeightPerSqFt = document.getElementById('tableWeightPerSqFt');
var chart;
var weightChartCanvas = document.getElementById('weightChart').getContext('2d');
function isValidNumber(value) {
return !isNaN(parseFloat(value)) && isFinite(value);
}
function validateInputs() {
var valid = true;
var density = parseFloat(densityInput.value);
var thickness = parseFloat(thicknessInput.value);
var width = parseFloat(widthInput.value);
var length = parseFloat(lengthInput.value);
if (!isValidNumber(density) || density <= 0) {
densityError.textContent = "Please enter a valid positive number for density.";
densityError.style.display = 'block';
valid = false;
} else {
densityError.textContent = '';
densityError.style.display = 'none';
}
if (!isValidNumber(thickness) || thickness <= 0) {
thicknessError.textContent = "Please enter a valid positive number for thickness.";
thicknessError.style.display = 'block';
valid = false;
} else {
thicknessError.textContent = '';
thicknessError.style.display = 'none';
}
if (!isValidNumber(width) || width <= 0) {
widthError.textContent = "Please enter a valid positive number for width.";
widthError.style.display = 'block';
valid = false;
} else {
widthError.textContent = '';
widthError.style.display = 'none';
}
if (!isValidNumber(length) || length <= 0) {
lengthError.textContent = "Please enter a valid positive number for length.";
lengthError.style.display = 'block';
valid = false;
} else {
lengthError.textContent = '';
lengthError.style.display = 'none';
}
return valid;
}
function calculateWeight() {
if (!validateInputs()) {
clearResults();
return;
}
var density = parseFloat(densityInput.value);
var thickness = parseFloat(thicknessInput.value);
var width = parseFloat(widthInput.value);
var length = parseFloat(lengthInput.value);
// Calculations
var volumeInches = thickness * width * length;
var volumeCubicFeet = volumeInches / 1728;
var totalWeight = volumeCubicFeet * density;
var areaInches = width * length;
var areaSquareFeet = areaInches / 144;
var weightPerSqFt = totalWeight / areaSquareFeet;
// Update results
totalWeightOutput.textContent = totalWeight.toFixed(2) + ' lbs';
weightPerSqFtOutput.textContent = 'Weight per Sq Ft: ' + weightPerSqFt.toFixed(2) + ' lbs/ft²';
sheetVolumeOutput.textContent = 'Sheet Volume: ' + volumeCubicFeet.toFixed(4) + ' ft³';
sheetAreaOutput.textContent = 'Sheet Area: ' + areaSquareFeet.toFixed(2) + ' ft²';
// Update table
tableDensity.textContent = density.toFixed(2);
tableThickness.textContent = thickness.toFixed(3);
tableWidth.textContent = width.toFixed(2);
tableLength.textContent = length.toFixed(2);
tableArea.textContent = areaSquareFeet.toFixed(2);
tableVolume.textContent = volumeCubicFeet.toFixed(4);
tableTotalWeight.textContent = totalWeight.toFixed(2);
tableWeightPerSqFt.textContent = weightPerSqFt.toFixed(2);
updateChart(density, thickness, width, length);
}
function clearResults() {
totalWeightOutput.textContent = '–';
weightPerSqFtOutput.textContent = 'Weight per Sq Ft: –';
sheetVolumeOutput.textContent = 'Sheet Volume: –';
sheetAreaOutput.textContent = 'Sheet Area: –';
tableDensity.textContent = '–';
tableThickness.textContent = '–';
tableWidth.textContent = '–';
tableLength.textContent = '–';
tableArea.textContent = '–';
tableVolume.textContent = '–';
tableTotalWeight.textContent = '–';
tableWeightPerSqFt.textContent = '–';
if (chart) {
chart.destroy();
}
}
function resetCalculator() {
densityInput.value = 168.5;
thicknessInput.value = 0.125;
widthInput.value = 48;
lengthInput.value = 120;
validateInputs(); // Clear any existing errors
calculateWeight();
}
function copyResults() {
var resultsText = "Aluminum Sheet Weight Calculation:\n\n";
resultsText += "Input Values:\n";
resultsText += "- Density: " + densityInput.value + " lb/ft³\n";
resultsText += "- Thickness: " + thicknessInput.value + " in\n";
resultsText += "- Width: " + widthInput.value + " in\n";
resultsText += "- Length: " + lengthInput.value + " in\n\n";
resultsText += "Calculated Results:\n";
resultsText += "- Total Weight: " + totalWeightOutput.textContent + "\n";
resultsText += "- Weight per Sq Ft: " + weightPerSqFtOutput.textContent.replace('Weight per Sq Ft: ', '') + "\n";
resultsText += "- Sheet Volume: " + sheetVolumeOutput.textContent.replace('Sheet Volume: ', '') + "\n";
resultsText += "- Sheet Area: " + sheetAreaOutput.textContent.replace('Sheet Area: ', '') + "\n\n";
resultsText += "Key Assumptions:\n";
resultsText += "- Standard density used if not specified otherwise.\n";
resultsText += "- Calculations assume a perfect rectangular sheet.\n";
var textarea = document.createElement('textarea');
textarea.value = resultsText;
textarea.style.position = 'fixed';
textarea.style.left = '-9999px';
document.body.appendChild(textarea);
textarea.select();
try {
document.execCommand('copy');
alert('Results copied to clipboard!');
} catch (err) {
alert('Failed to copy results. Please copy manually.');
}
document.body.removeChild(textarea);
}
function updateChart(density, currentThickness, currentWidth, currentLength) {
if (chart) {
chart.destroy();
}
var baseArea = currentWidth * currentLength;
var baseVolume = (currentThickness * currentWidth * currentLength) / 1728;
var baseWeight = baseVolume * density;
var baseWeightPerSqFt = baseWeight / (baseArea / 144);
var thicknessData = [];
var widthData = [];
var lengthData = [];
var weightData = [];
var steps = 5; // Number of points to plot for each variable
for (var i = 0; i <= steps; i++) {
var factor = i / steps;
// Thickness variation
var t = currentThickness * factor;
var volFt_t = (t * currentWidth * currentLength) / 1728;
var totalWt_t = volFt_t * density;
thicknessData.push({ x: t, y: totalWt_t });
// Width variation
var w = currentWidth * factor;
var volFt_w = (currentThickness * w * currentLength) / 1728;
var totalWt_w = volFt_w * density;
widthData.push({ x: w, y: totalWt_w });
// Length variation
var l = currentLength * factor;
var volFt_l = (currentThickness * currentWidth * l) / 1728;
var totalWt_l = volFt_l * density;
lengthData.push({ x: l, y: totalWt_l });
// For weight per sq ft chart, we'd need to plot this differently.
// Let's keep the chart focused on Total Weight for now based on dimension variations.
}
var chartLabels = [];
var thicknessLabels = [];
var widthLabels = [];
var lengthLabels = [];
for (var i = 0; i <= steps; i++) {
var factor = i / steps;
thicknessLabels.push((currentThickness * factor).toFixed(3));
widthLabels.push((currentWidth * factor).toFixed(2));
lengthLabels.push((currentLength * factor).toFixed(2));
}
chart = new Chart(weightChartCanvas, {
type: 'line',
data: {
datasets: [
{
label: 'Total Weight vs. Thickness',
data: thicknessData,
borderColor: 'rgba(0, 74, 153, 1)',
backgroundColor: 'rgba(0, 74, 153, 0.2)',
fill: false,
tension: 0.1
},
{
label: 'Total Weight vs. Width',
data: widthData,
borderColor: 'rgba(40, 167, 69, 1)',
backgroundColor: 'rgba(40, 167, 69, 0.2)',
fill: false,
tension: 0.1
},
{
label: 'Total Weight vs. Length',
data: lengthData,
borderColor: 'rgba(255, 193, 7, 1)',
backgroundColor: 'rgba(255, 193, 7, 0.2)',
fill: false,
tension: 0.1
}
]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
x: {
title: {
display: true,
labelString: 'Dimension Value'
},
ticks: {
callback: function(value, index, ticks) {
// This attempts to show labels based on which dataset is active, might need refinement
if (this.chart.data.datasets[0].data[index]) return this.chart.data.datasets[0].data[index].x.toFixed(3);
return value;
}
}
},
y: {
title: {
display: true,
labelString: 'Total Weight (lbs)'
}
}
},
plugins: {
tooltip: {
callbacks: {
label: function(context) {
var label = context.dataset.label || '';
if (label) {
label += ': ';
}
label += context.parsed.y.toFixed(2) + ' lbs';
// Add x-axis value for clarity
label += ' (Dimension: ' + context.parsed.x.toFixed(3) + ')';
return label;
}
}
}
}
}
});
}
// Load Chart.js library dynamically
function loadChartJS() {
var script = document.createElement('script');
script.src = 'https://cdn.jsdelivr.net/npm/chart.js';
script.onload = function() {
console.log('Chart.js loaded successfully.');
calculateWeight(); // Perform initial calculation after Chart.js is loaded
};
script.onerror = function() {
console.error('Failed to load Chart.js library.');
// Optionally display a message to the user
};
document.head.appendChild(script);
}
// Initial setup
window.onload = function() {
// Ensure inputs are tied to validation and calculation on change
densityInput.addEventListener('input', validateInputs);
thicknessInput.addEventListener('input', validateInputs);
widthInput.addEventListener('input', validateInputs);
lengthInput.addEventListener('input', validateInputs);
densityInput.addEventListener('input', calculateWeight);
thicknessInput.addEventListener('input', calculateWeight);
widthInput.addEventListener('input', calculateWeight);
lengthInput.addEventListener('input', calculateWeight);
loadChartJS(); // Load Chart.js and then calculate initial weight
};