Mdf Weight Capacity Calculator

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MDF Weight Capacity Calculator

Accurately determine the load-bearing capabilities of your MDF panels and shelves.

The length of the MDF panel or shelf.
The width of the MDF panel or shelf.
The thickness of the MDF panel.
Two Supports (Ends) Three Supports (Ends + Middle) Four Supports (Corners) Cantilevered (No Supports on one edge) How the panel is supported.
Typical density for MDF is 600-800 kg/m³.
Typical flexural strength for MDF is 20-40 MPa.
A factor to ensure safety (e.g., 2.0 for general use, 3.0 for critical loads).

Calculation Results

Maximum Uniformly Distributed Load:
Panel Self-Weight:
Theoretical Load Limit (before safety factor):
Maximum Allowed Deflection (e.g., L/360):
Formula Used: The calculation combines principles of structural mechanics to estimate the maximum load. It considers the panel's dimensions, material properties (density, flexural strength), support configuration, and applies a safety factor to determine the uniformly distributed load (UDL) it can bear before excessive deflection or failure. The formula is complex, involving beam bending equations (like Euler-Bernoulli), material science constants, and geometric properties. This calculator provides an estimate based on typical material behaviors.

Load vs. Deflection

Visualizing estimated deflection under different load conditions.

MDF Properties and Assumptions

Parameter Value Unit Notes
Panel Length m Input
Panel Width m Input
Panel Thickness mm Input
Support Type Input (Number of supports)
MDF Density kg/m³ Input
Flexural Strength MPa Input
Safety Factor Input
Panel Self-Weight kg Calculated
Young's Modulus (Estimated) GPa Estimated based on density and strength.
Max Allowed Deflection mm Calculated (e.g., L/360)
Key parameters used in the MDF weight capacity calculation.

What is MDF Weight Capacity?

{primary_keyword} refers to the maximum load an MDF (Medium Density Fiberboard) panel or shelf can safely support without excessive bending, warping, or structural failure. Understanding this capacity is crucial for ensuring the safety and longevity of furniture, shelving units, cabinetry, and any application where MDF is used to bear weight. Unlike solid wood, MDF is an engineered wood product made from wood fibers, resin, and wax, pressed and dried into panels. Its consistent density and smoothness make it popular, but its structural performance under load needs careful consideration, especially concerning its susceptibility to moisture and its specific strength properties.

Who should use an MDF weight capacity calculator?

  • DIY enthusiasts building shelves, workbenches, or furniture.
  • Woodworkers and cabinet makers.
  • Homeowners planning to install shelving.
  • Anyone specifying MDF for structural or load-bearing applications.
  • Engineers or designers needing to quickly estimate MDF performance.

Common Misconceptions about MDF Weight Capacity:

  • "MDF is weaker than plywood": While plywood can have higher shear strength, MDF can offer superior stiffness and surface smoothness for certain applications. Their performance comparison depends heavily on the specific type of MDF and plywood, and the application.
  • "All MDF is the same": MDF comes in various densities and formulations (e.g., moisture-resistant, fire-retardant), each affecting its load-bearing capacity.
  • "Thickness alone determines strength": While thickness is critical, so are the panel's length, width, support structure, and the specific grade of MDF used.
  • "It can hold anything if it doesn't break immediately": MDF can gradually sag or deform under prolonged load, even if it doesn't fracture instantly. This long-term deflection is a key concern for shelf stability.

MDF Weight Capacity Formula and Mathematical Explanation

Calculating the exact weight capacity of an MDF panel is complex, involving principles from structural mechanics, specifically beam theory. The primary concern is usually deflection (sagging) under a load, which is often more critical than outright failure for typical shelving applications. A common design limit is based on allowable deflection, such as a span-to-deflection ratio (e.g., L/360, where L is the span length).

The calculation for a uniformly distributed load (UDL) on a simply supported or fixed beam is generally:

Maximum Load (UDL) = (Allowable Stress or Deflection Limit * Bending Constant) / (Span Factor)

In simpler terms for this calculator, we estimate the maximum safe UDL by considering:

  1. Panel Geometry: Length, width, and thickness define the cross-section and span.
  2. Material Properties: Flexural Strength (modulus of rupture) relates to the stress at which the material fails, while Young's Modulus (modulus of elasticity) relates to stiffness and deflection. Density often correlates with these properties.
  3. Support Conditions: How the panel is supported (e.g., at the ends, middle) significantly impacts its bending behavior. Cantilevered beams behave very differently from simply supported beams.
  4. Safety Factor: A multiplier applied to reduce the theoretical limit to ensure safety and account for variations in material and loading.

Key Variables and Their Meaning:

Variable Meaning Unit Typical Range
Panel Length (L) The longest dimension of the MDF panel, defining the span between supports. m (meters) 0.3 – 3.0
Panel Width (W) The shorter dimension of the MDF panel. Affects the moment of inertia. m (meters) 0.1 – 1.2
Panel Thickness (t) The vertical dimension of the MDF panel. Crucial for stiffness. mm (millimeters) 6 – 30
Support Type Number and placement of supports (e.g., 2 for simple supports at ends, 0 for cantilever). Count / Configuration 0, 2, 3, 4
MDF Density (ρ) Mass per unit volume of the MDF material. Higher density often means higher strength. kg/m³ 600 – 800
Flexural Strength (σf) The maximum stress the material can withstand before it breaks in bending. MPa (Megapascals) 20 – 40
Young's Modulus (E) A measure of the material's stiffness or resistance to elastic deformation under stress. Estimated from density. GPa (Gigapascals) 2 – 5
Safety Factor (SF) A ratio used to reduce the theoretical failure load to a safe working load. Unitless 1.5 – 3.0
Maximum Load (UDL) The maximum weight the panel can support, distributed evenly across its surface. kg Varies widely
Panel Self-Weight The weight of the MDF panel itself. kg Varies widely
Max Allowed Deflection The maximum sag considered acceptable for the application (e.g., L/360). mm Varies

Note: The calculator estimates Young's Modulus (E) based on MDF density using empirical relationships, as it's not a direct input. The actual flexural strength and Young's Modulus can vary significantly between manufacturers and specific MDF types.

Practical Examples (Real-World Use Cases)

Example 1: Standard Bookshelf Shelf

Sarah is building a simple bookshelf. She plans to use 18mm thick MDF for the shelves, which will be 1200mm (1.2m) long and 300mm (0.3m) wide. The shelves will be supported at both ends.

  • Inputs:
    • Panel Length: 1.2 m
    • Panel Width: 0.3 m
    • Panel Thickness: 18 mm
    • Support Type: 2 (Ends)
    • MDF Density: 750 kg/m³
    • Flexural Strength: 30 MPa
    • Safety Factor: 2.5
  • Calculation Output (estimated):
    • Panel Self-Weight: ~8.1 kg
    • Maximum Uniformly Distributed Load: ~17.5 kg
    • Maximum Allowed Deflection: ~3.3 mm (assuming L/360)
  • Interpretation: This shelf can safely support approximately 17.5 kg of weight distributed evenly across its surface, in addition to its own weight. This is suitable for most books, but heavy items might require stronger materials or additional central support.

Example 2: Workshop Workbench Top

John is constructing a heavy-duty workbench. He's using a thicker 25mm MDF panel, 1800mm (1.8m) long and 800mm (0.8m) wide. To support this large span, he's planning for three supports: one at each end and one in the middle.

  • Inputs:
    • Panel Length: 1.8 m
    • Panel Width: 0.8 m
    • Panel Thickness: 25 mm
    • Support Type: 3 (Ends + Middle)
    • MDF Density: 780 kg/m³
    • Flexural Strength: 35 MPa
    • Safety Factor: 2.0
  • Calculation Output (estimated):
    • Panel Self-Weight: ~86.4 kg
    • Maximum Uniformly Distributed Load: ~120 kg
    • Maximum Allowed Deflection: ~5 mm (assuming L/360)
  • Interpretation: With three supports and thicker MDF, the workbench top can handle a substantial load of around 120 kg evenly distributed. This should be more than adequate for typical workshop tools and materials. The increased self-weight of the thicker MDF is also accounted for.

How to Use This MDF Weight Capacity Calculator

Our MDF Weight Capacity Calculator is designed for ease of use. Follow these steps to get accurate results:

  1. Measure Your MDF Panel: Accurately determine the Length, Width, and Thickness of the MDF panel you intend to use. Ensure your units are correct (meters for length/width, millimeters for thickness).
  2. Identify Support Type: Determine how the panel will be supported.
    • Two Supports: Typically at each end of the longest span.
    • Three Supports: One at each end and one in the middle of the longest span.
    • Four Supports: At the corners (less common for shelves, more for larger panels).
    • Cantilevered: One edge is fixed, and the other edges are unsupported. This significantly reduces capacity.
  3. Input Material Properties: Enter the Density of your MDF (if known, otherwise use a typical value like 750 kg/m³). Enter the Flexural Strength (often found on the manufacturer's datasheet, typically 20-40 MPa for standard MDF).
  4. Set Safety Factor: Choose a safety factor. A value of 2.0 to 2.5 is common for general-purpose shelves. Increase it to 3.0 or higher for critical applications where failure could be dangerous or costly.
  5. Calculate: Click the "Calculate Capacity" button.
  6. Review Results:
    • Maximum Uniformly Distributed Load: This is the primary result – the maximum weight the panel can safely hold when spread evenly across its surface.
    • Panel Self-Weight: The weight of the MDF panel itself, which must be considered in addition to the load.
    • Theoretical Load Limit: The calculated load before applying the safety factor.
    • Maximum Allowed Deflection: Indicates how much the panel is expected to sag under load, based on common building standards (e.g., L/360). Excessive deflection can make items unstable or look unsightly.
  7. Use the Chart and Table: The generated chart and table provide visual and detailed breakdowns of the input parameters and estimated performance.
  8. Decision Making: Compare the calculated maximum load with the intended weight of the items you plan to place on the MDF. If the intended load exceeds the capacity, consider using thicker MDF, adding more supports, reducing the span, or opting for a stronger material like plywood.
  9. Reset: Use the "Reset Defaults" button to return all fields to their initial values.
  10. Copy: Use the "Copy Results" button to copy all calculated values and assumptions for documentation or sharing.

Key Factors That Affect MDF Weight Capacity Results

Several factors significantly influence the load-bearing capacity of MDF. Understanding these helps in accurately using the calculator and making informed decisions:

  1. Panel Thickness: This is arguably the most critical factor. Doubling the thickness can increase the load capacity by a factor of up to 8 (due to the moment of inertia being proportional to the cube of thickness in beam bending formulas). Even small increases in thickness yield significant improvements in stiffness and strength.
  2. Span Length (Distance Between Supports): Load capacity decreases dramatically as the span length increases. A longer span means the MDF is subjected to greater bending moments, leading to increased stress and deflection. Capacity is often inversely proportional to the square or cube of the span length, depending on the specific formula used.
  3. Support Configuration: The number and placement of supports drastically alter how the load is distributed and how the panel bends. A cantilevered panel (supported only at one end) has a fraction of the capacity of a panel supported at both ends over the same span. Adding a central support (from two to three supports) can more than double the capacity for a given span.
  4. MDF Density and Grade: Higher density MDF generally exhibits higher flexural strength and stiffness (Young's Modulus). Moisture-resistant grades might have slightly different properties, and specialized high-density MDF will perform better than standard grades. Always refer to manufacturer specifications if available.
  5. Material Properties (Flexural Strength & Young's Modulus): These are inherent to the specific type of MDF used. Flexural strength dictates the point of failure, while Young's Modulus determines stiffness and resistance to sagging. Our calculator estimates Young's Modulus based on density, but actual values can vary.
  6. Type of Load (Uniform vs. Point Load): This calculator estimates capacity for a Uniformly Distributed Load (UDL), meaning the weight is spread evenly. A point load (weight concentrated on a small area) will cause much higher stress and deflection and will have a significantly lower effective capacity. This calculator is conservative for UDLs.
  7. Environmental Conditions: MDF is susceptible to moisture. Exposure to high humidity or direct water contact can significantly weaken the material, reducing its structural integrity and load-bearing capacity over time. Always use appropriate MDF or finishes in humid environments.

Frequently Asked Questions (FAQ)

Q1: Can MDF be used for load-bearing shelves?

Yes, MDF can be used for load-bearing shelves, but its capacity is limited and depends heavily on thickness, span length, and support. For heavier loads or longer spans, thicker MDF, additional supports, or alternative materials like plywood might be necessary. Always calculate the capacity.

Q2: How much weight can a typical MDF shelf hold?

A "typical" shelf is hard to define, but for a standard 18mm MDF shelf spanning 900mm (0.9m) supported at the ends, the capacity might range from 10-25 kg distributed load, depending on the specific MDF properties and safety factor used. Always use a calculator for precise estimates.

Q3: What is the difference between flexural strength and Young's Modulus for MDF?

Flexural Strength (or Modulus of Rupture) is the maximum stress the material can withstand before it breaks or fractures in bending. Young's Modulus (or Modulus of Elasticity) measures the material's stiffness – how much it deforms (deflects) under a given stress. For shelving, stiffness (Young's Modulus) is often the limiting factor, as excessive sag can be undesirable even if the shelf doesn't break.

Q4: How does moisture affect MDF weight capacity?

Moisture absorption causes MDF to swell and significantly weakens its internal bond structure. This drastically reduces both its flexural strength and stiffness, thereby lowering its weight capacity. Moisture-resistant MDF grades offer better performance but are not waterproof.

Q5: Is plywood a better material for shelves than MDF?

It depends on the application. Plywood generally has higher tensile and shear strength and better moisture resistance than standard MDF. However, MDF can offer a smoother surface finish and greater stiffness per unit thickness in some cases, making it suitable for specific applications like painted shelves or where surface finish is paramount. For heavy-duty or potentially damp conditions, plywood is often preferred.

Q6: What does a Safety Factor of 2.5 mean?

A safety factor of 2.5 means the calculated maximum load the material could theoretically withstand before failure or excessive deflection is divided by 2.5 to determine the safe working load. This provides a buffer against variations in material, unexpected loads, and long-term material degradation.

Q7: Can I use this calculator for MDF panels used vertically (like cabinet sides)?

This calculator is primarily designed for horizontal load-bearing applications (like shelves) where bending is the primary failure mode. Vertical panels in cabinets primarily experience compressive forces and racking. While MDF has good compressive strength, the calculation for vertical stability is different and not covered by this specific calculator.

Q8: What is the difference between 'Max Load' and 'Panel Self-Weight'?

The 'Max Load' calculated is the additional weight the panel can support *on top of* its own weight. The 'Panel Self-Weight' is the intrinsic weight of the MDF panel itself. The total weight the structure must support is the sum of the Panel Self-Weight and the applied load.

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var chartInstance = null; // To hold the chart instance function validateInput(id, value, min, max, errorMessageId) { var errorElement = document.getElementById(errorMessageId); errorElement.classList.remove('visible'); var numberValue = parseFloat(value); if (isNaN(numberValue)) { errorElement.textContent = "Please enter a valid number."; errorElement.classList.add('visible'); return false; } if (numberValue max) { errorElement.textContent = "Value cannot be greater than " + max + "."; errorElement.classList.add('visible'); return false; } return true; } function getElementValue(id) { return document.getElementById(id).value; } function setElementText(id, text) { document.getElementById(id).textContent = text; } function showElement(id) { document.getElementById(id).style.display = 'block'; } function hideElement(id) { document.getElementById(id).style.display = 'none'; } function copyText(text) { var textArea = document.createElement("textarea"); textArea.value = text; textArea.style.position = "fixed"; textArea.style.opacity = "0"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'successful' : 'unsuccessful'; console.log('Copying text command was ' + msg); } catch (err) { console.error('Unable to copy text.', err); } document.body.removeChild(textArea); } function calculateWeightCapacity() { // — Input Validation — var isValid = true; isValid &= validateInput('panelLength', getElementValue('panelLength'), 0.1, null, 'panelLengthError'); isValid &= validateInput('panelWidth', getElementValue('panelWidth'), 0.1, null, 'panelWidthError'); isValid &= validateInput('panelThickness', getElementValue('panelThickness'), 3, 30, 'panelThicknessError'); // Min thickness for MDF is usually around 3mm isValid &= validateInput('mdfDensity', getElementValue('mdfDensity'), 500, 1000, 'mdfDensityError'); // Reasonable range for MDF isValid &= validateInput('flexuralStrength', getElementValue('flexuralStrength'), 10, 100, 'flexuralStrengthError'); // Wider range for strength isValid &= validateInput('safetyFactor', getElementValue('safetyFactor'), 1.1, 5.0, 'safetyFactorError'); // Practical safety factor range if (!isValid) { hideElement('results-container'); hideElement('chart-container'); hideElement('table-container'); return; } // — Get Input Values — var length = parseFloat(getElementValue('panelLength')); // m var width = parseFloat(getElementValue('panelWidth')); // m var thicknessMM = parseFloat(getElementValue('panelThickness')); // mm var thicknessM = thicknessMM / 1000.0; // Convert thickness to meters var supportType = parseInt(getElementValue('supportType')); var density = parseFloat(getElementValue('mdfDensity')); // kg/m³ var flexuralStrengthMPa = parseFloat(getElementValue('flexuralStrength')); // MPa var safetyFactor = parseFloat(getElementValue('safetyFactor')); // — Calculations — // Convert thickness to meters for moment of inertia calculation var thickness = thicknessMM / 1000.0; // m // Estimate Young's Modulus (E) from density (empirical relation for wood composites) // This is a rough estimate. Actual E varies greatly. var youngsModulusGPa = 0.0025 * density; // Example: E ≈ 2.5 GPa for 1000 kg/m³ var youngsModulus = youngsModulusGPa * 1e9; // Convert GPa to Pa // Calculate Panel Self-Weight (kg) var volume = length * width * thickness; // m³ var selfWeight = volume * density; // kg // Calculate Moment of Inertia (I) – for bending about the width axis // Assume bending across the length, so width is the dimension parallel to the neutral axis var momentOfInertia = (width * Math.pow(thickness, 3)) / 12.0; // m⁴ // Calculate Section Modulus (S) var sectionModulus = (width * Math.pow(thickness, 2)) / 6.0; // m³ // Determine Bending Constant (K) based on support type // These are simplified coefficients for maximum bending moment // For simply supported beam: Max Moment = wL²/8, K=1/8 for UDL w // For cantilever: Max Moment = wL², K=1 for UDL w // For 3 supports (simplified): Assume approximation between 2 and fixed supports // For 4 supports (corners): Complex, often treated similar to 2 supports with attention to edge effects var bendingMomentCoefficient; var spanLengthForDeflection = length; // Primary span for deflection calculation var maxDeflectionLimitMm = spanLengthForDeflection / 360.0 * 1000.0; // L/360 in mm // Approximate bending coefficients (W = UDL in kg, g = 9.81 m/s²) // Coefficients are for moment M = K * W * L, where W is total load // Actual formulas are more complex, involving w (load per unit length) // We'll use simplified approach focusing on deflection limit. // Max deflection for simply supported beam = 5 * w * L^4 / (384 * E * I) // Let's use deflection limit to find max load. // Calculate Max Load based on Deflection Limit (L/360) // For simply supported beam (2 supports): deflection_max = 5 * w * L^4 / (384 * E * I) // w = load per meter. Total load W = w * L. So w = W / L. // deflection_max = 5 * (W/L) * L^4 / (384 * E * I) = 5 * W * L^3 / (384 * E * I) // Rearranging for W: W = (deflection_max * 384 * E * I) / (5 * L^3) var maxLoadFromDeflection = 0; var k_deflection = 0; // Constant related to support type for deflection calculation switch (supportType) { case 2: // Two Supports (Simply Supported) k_deflection = 384.0 / 5.0; // Corresponds to 5/384 break; case 3: // Three Supports (Approximate – stiffer than simple) // Approximation: Assume slightly stiffer than simple support, maybe closer to fixed ends scenario. // A simplified approach might use a coefficient around 300-350. Let's use 320 for estimation. k_deflection = 320.0; break; case 4: // Four Supports (Corners) // Complex. Assume similar to simple supports for span capacity, edge effects matter more. k_deflection = 384.0 / 5.0; // Use simple support assumption break; case 0: // Cantilevered // Max deflection for cantilever = w * L^4 / (8 * E * I) // w = W / L => deflection_max = (W/L) * L^4 / (8 * E * I) = W * L^3 / (8 * E * I) // Rearranging for W: W = (deflection_max * 8 * E * I) / L^3 k_deflection = 8.0; break; default: k_deflection = 384.0 / 5.0; // Default to simple support } if (spanLengthForDeflection > 0 && youngsModulus > 0 && momentOfInertia > 0) { if (supportType === 0) { // Cantilever maxLoadFromDeflection = (maxDeflectionLimitMm / 1000.0 * k_deflection * youngsModulus * momentOfInertia) / Math.pow(spanLengthForDeflection, 3); } else { // Other support types maxLoadFromDeflection = (maxDeflectionLimitMm / 1000.0 * k_deflection * youngsModulus * momentOfInertia) / Math.pow(spanLengthForDeflection, 3); } } else { maxLoadFromDeflection = 0; // Avoid division by zero or invalid calculations } // Calculate Theoretical Load Limit based on Flexural Strength (Failure Load) // Max stress = M*y/I, where M is max moment, y is distance from neutral axis (t/2) // Max moment M = K * W * L, where K depends on support type. // For simply supported: M = W*L/8 // For cantilever: M = W*L var bendingStressCoefficient; switch (supportType) { case 2: // Simply Supported bendingStressCoefficient = 1.0/8.0; break; case 3: // Approximate 3 supports bendingStressCoefficient = 1.0/10.0; // Assume stiffer than simple break; case 4: // Corners bendingStressCoefficient = 1.0/8.0; // Assume simple span behavior for worst case break; case 0: // Cantilever bendingStressCoefficient = 1.0; break; default: bendingStressCoefficient = 1.0/8.0; // Default } // Max stress = (bendingStressCoefficient * W * L) * (thickness / 2.0) / momentOfInertia // W = (Max Stress * momentOfInertia) / (bendingStressCoefficient * L * (thickness / 2.0)) var theoreticalLoadFromStrength = 0; if (length > 0 && thickness > 0 && sectionModulus > 0) { theoreticalLoadFromStrength = (flexuralStrengthMPa * 1e6 * sectionModulus) / (bendingStressCoefficient * length * (thickness / 2.0)); // Convert MPa to Pa } // Determine the limiting factor (Deflection or Strength) // The *actual* theoretical load limit is the *minimum* of the two. var theoreticalLoadLimit = Math.min(maxLoadFromDeflection, theoreticalLoadFromStrength); if (isNaN(theoreticalLoadLimit) || theoreticalLoadLimit < 0) { theoreticalLoadLimit = 0; // Ensure non-negative } // Calculate Maximum Uniformly Distributed Load (UDL) var maxUDL = (theoreticalLoadLimit / safetyFactor); if (isNaN(maxUDL) || maxUDL < 0) { maxUDL = 0; // Ensure non-negative } // — Update Results Display — showElement('results-container'); setElementText('maxLoadResult', maxUDL.toFixed(2) + ' kg'); setElementText('panelSelfWeightResult', selfWeight.toFixed(2) + ' kg'); setElementText('theoreticalLoadResult', theoreticalLoadLimit.toFixed(2) + ' kg'); setElementText('maxDeflectionResult', maxDeflectionLimitMm.toFixed(2) + ' mm'); // — Update Table — showElement('table-container'); setElementText('tablePanelLength', length.toFixed(2)); setElementText('tablePanelWidth', width.toFixed(2)); setElementText('tablePanelThickness', thicknessMM.toFixed(1)); var supportTypes = ["Cantilevered (No Supports)", "Two Supports (Ends)", "Three Supports (Ends + Middle)", "Four Supports (Corners)"]; setElementText('tableSupportType', supportTypes[supportType] || supportType); setElementText('tableMdfDensity', density.toFixed(0)); setElementText('tableFlexuralStrength', flexuralStrengthMPa.toFixed(1)); setElementText('tableSafetyFactor', safetyFactor.toFixed(1)); setElementText('tablePanelSelfWeight', selfWeight.toFixed(2)); setElementText('tableYoungsModulus', youngsModulusGPa.toFixed(2)); setElementText('tableMaxDeflection', maxDeflectionLimitMm.toFixed(2)); // — Update Chart — showElement('chart-container'); updateChart(length, width, thicknessMM, supportType, density, flexuralStrengthMPa, safetyFactor, selfWeight, maxUDL, theoreticalLoadLimit); } function resetCalculator() { document.getElementById('panelLength').value = '1.2'; document.getElementById('panelWidth').value = '0.3'; document.getElementById('panelThickness').value = '18'; document.getElementById('supportType').value = '2'; document.getElementById('mdfDensity').value = '750'; document.getElementById('flexuralStrength').value = '30'; document.getElementById('safetyFactor').value = '2.5'; // Clear errors var errorElements = document.querySelectorAll('.error-message'); for (var i = 0; i < errorElements.length; i++) { errorElements[i].textContent = ''; errorElements[i].classList.remove('visible'); } hideElement('results-container'); hideElement('chart-container'); hideElement('table-container'); // Reset chart if it exists if (chartInstance) { chartInstance.destroy(); chartInstance = null; } } function copyResults() { var maxLoad = getElementValueById('maxLoadResult'); var selfWeight = getElementValueById('panelSelfWeightResult'); var theoreticalLoad = getElementValueById('theoreticalLoadResult'); var maxDeflection = getElementValueById('maxDeflectionResult'); var tableRows = document.querySelectorAll('#table-container tbody tr'); var assumptions = "Key Assumptions:\n"; for (var i = 0; i < tableRows.length; i++) { var cells = tableRows[i].cells; if (cells.length === 4) { assumptions += `- ${cells[0].textContent}: ${cells[1].textContent} ${cells[2].textContent}\n`; } } var resultsText = `MDF Weight Capacity Calculation Results:\n\n` + `Maximum Uniformly Distributed Load: ${maxLoad}\n` + `Panel Self-Weight: ${selfWeight}\n` + `Theoretical Load Limit: ${theoreticalLoad}\n` + `Maximum Allowed Deflection: ${maxDeflection}\n\n` + `Formula Used: The calculation combines principles of structural mechanics to estimate the maximum load. It considers the panel's dimensions, material properties (density, flexural strength), support configuration, and applies a safety factor to determine the uniformly distributed load (UDL) it can bear before excessive deflection or failure.\n\n` + `Assumptions:\n${assumptions}`; copyText(resultsText); alert('Results copied to clipboard!'); } // Helper to get text content safely function getElementValueById(id) { var element = document.getElementById(id); return element ? element.textContent : 'N/A'; } // — Charting Logic — function updateChart(length, width, thicknessMM, supportType, density, flexuralStrengthMPa, safetyFactor, selfWeight, maxUDL, theoreticalLoadLimit) { var canvas = document.getElementById('deflectionChart'); var ctx = canvas.getContext('2d'); // Destroy previous chart instance if it exists if (chartInstance) { chartInstance.destroy(); } var thickness = thicknessMM / 1000.0; // meters var youngsModulusGPa = 0.0025 * density; var youngsModulus = youngsModulusGPa * 1e9; // Pascals var momentOfInertia = (width * Math.pow(thickness, 3)) / 12.0; // m^4 var spanLengthForDeflection = length; // m var maxDeflectionLimit = spanLengthForDeflection / 360.0; // meters (for L/360) var loads = []; // Total load in kg (Self-weight + Applied Load) var deflections = []; // Expected deflection in meters // Define load steps (e.g., 0 kg to maxUDL + selfWeight, with some buffer) var numSteps = 10; var maxTotalLoad = maxUDL + selfWeight; // Max total load the structure experiences var loadStep = maxTotalLoad / numSteps; // Calculate deflection for each load step for (var i = 0; i <= numSteps; i++) { var currentAppliedLoad = (loadStep * i) – selfWeight; // Applied load on top of self-weight if (currentAppliedLoad 0 && youngsModulus > 0 && momentOfInertia > 0) { switch (supportType) { case 2: // Simply Supported: 5 * w * L^4 / (384 * E * I) deflection = (5.0 * w_per_meter_N * Math.pow(spanLengthForDeflection, 4)) / (384.0 * youngsModulus * momentOfInertia); break; case 3: // Approximate 3 supports (Use same as simple for illustration, real value is complex) deflection = (5.0 * w_per_meter_N * Math.pow(spanLengthForDeflection, 4)) / (320.0 * youngsModulus * momentOfInertia); // Adjusted coefficient break; case 4: // Corners (Use same as simple for illustration) deflection = (5.0 * w_per_meter_N * Math.pow(spanLengthForDeflection, 4)) / (384.0 * youngsModulus * momentOfInertia); break; case 0: // Cantilever: w * L^4 / (8 * E * I) deflection = (w_per_meter_N * Math.pow(spanLengthForDeflection, 4)) / (8.0 * youngsModulus * momentOfInertia); break; default: // Default to simple support deflection = (5.0 * w_per_meter_N * Math.pow(spanLengthForDeflection, 4)) / (384.0 * youngsModulus * momentOfInertia); } } deflections.push(deflection); // Store deflection in meters } // Convert deflections to mm for display var deflectionsMM = deflections.map(function(d) { return d * 1000; }); var maxDeflectionLimitMM = maxDeflectionLimit * 1000; // Chart data var chartData = { labels: loads.map(function(load) { return load.toFixed(1) + ' kg'; }), datasets: [ { label: 'Expected Deflection (mm)', data: deflectionsMM, borderColor: 'rgba(0, 74, 153, 1)', // Primary color backgroundColor: 'rgba(0, 74, 153, 0.2)', fill: false, tension: 0.1, yAxisID: 'y-axis-deflection' }, { label: `Max Deflection Limit (${maxDeflectionLimitMM.toFixed(2)} mm)`, data: Array(loads.length).fill(maxDeflectionLimitMM), borderColor: 'rgba(40, 167, 69, 1)', // Success color borderDash: [5, 5], fill: false, tension: 0, yAxisID: 'y-axis-deflection' } ] }; // Create the chart chartInstance = new Chart(ctx, { type: 'line', data: chartData, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, text: 'Total Load (kg)' } }, 'y-axis-deflection': { type: 'linear', position: 'left', title: { display: true, text: 'Deflection (mm)' }, ticks: { beginAtZero: true } } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y.toFixed(2) + ' mm'; } return label; } } }, legend: { position: 'top' } } } }); } // Include Chart.js library dynamically // This is a simplified way to include it; in a real app, manage dependencies properly. if (typeof Chart === 'undefined') { var script = document.createElement('script'); script.src = 'https://cdn.jsdelivr.net/npm/chart.js@3.7.0/dist/chart.min.js'; // Use a specific version script.onload = function() { console.log('Chart.js loaded.'); // Optionally call calculateWeightCapacity() here if you want the chart to draw on load }; document.head.appendChild(script); } // Initial calculation on page load if default values are set document.addEventListener('DOMContentLoaded', function() { calculateWeightCapacity(); });

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