Calculating Lag Bolt Weight Capacity

Lag Bolt Weight Capacity Calculator & Guide :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –border-color: #ddd; –shadow-color: rgba(0, 0, 0, 0.1); } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: var(–background-color); color: var(–text-color); margin: 0; padding: 0; line-height: 1.6; } .container { max-width: 960px; margin: 20px auto; padding: 20px; background-color: #fff; border-radius: 8px; box-shadow: 0 4px 15px var(–shadow-color); } header { background-color: var(–primary-color); color: white; padding: 20px 0; text-align: center; margin-bottom: 30px; border-radius: 8px 8px 0 0; } header h1 { margin: 0; font-size: 2.5em; font-weight: 600; } h2, h3 { color: var(–primary-color); margin-top: 1.5em; margin-bottom: 0.5em; } .loan-calc-container { background-color: var(–background-color); padding: 30px; border-radius: 8px; border: 1px solid var(–border-color); margin-bottom: 40px; } .input-group { margin-bottom: 20px; display: flex; flex-direction: column; } .input-group label { font-weight: bold; margin-bottom: 8px; display: block; } .input-group input[type="number"], .input-group select { padding: 12px; border: 1px solid var(–border-color); border-radius: 5px; font-size: 1em; box-sizing: border-box; /* Include padding and border in the element's total width and height */ } .input-group input[type="number"]:focus, .input-group select:focus { outline: none; border-color: var(–primary-color); box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.2); } .input-group .helper-text { font-size: 0.9em; color: #666; margin-top: 8px; } .error-message { color: red; font-size: 0.85em; margin-top: 5px; height: 1.2em; /* Reserve space for error message */ } .button-group { display: flex; justify-content: space-between; margin-top: 30px; } button { padding: 12px 25px; border: none; border-radius: 5px; font-size: 1em; cursor: pointer; transition: background-color 0.3s ease, transform 0.2s ease; font-weight: 600; } button.primary { background-color: var(–primary-color); color: white; } button.primary:hover { background-color: #003366; transform: translateY(-2px); } button.secondary { background-color: #6c757d; color: white; } button.secondary:hover { background-color: #5a6268; transform: translateY(-2px); } .results-container { background-color: #e9ecef; padding: 30px; border-radius: 8px; margin-top: 30px; border: 1px solid var(–border-color); } .results-container h3 { text-align: center; margin-top: 0; color: var(–primary-color); } .primary-result { font-size: 2em; font-weight: bold; color: var(–primary-color); text-align: center; padding: 15px; background-color: #fff3cd; border: 2px solid #ffeeba; border-radius: 6px; margin-bottom: 20px; display: block; } .intermediate-results, .formula-explanation { margin-top: 20px; font-size: 0.95em; } .intermediate-results p, .formula-explanation p { margin-bottom: 10px; } .intermediate-results span, .formula-explanation span { font-weight: bold; color: var(–primary-color); } table { width: 100%; border-collapse: collapse; margin-top: 20px; margin-bottom: 30px; } th, td { padding: 12px; text-align: left; border-bottom: 1px solid var(–border-color); } thead { background-color: var(–primary-color); color: white; } tbody tr:hover { background-color: #f1f1f1; } caption { font-size: 1.1em; font-weight: bold; color: var(–primary-color); margin-bottom: 10px; caption-side: top; text-align: left; } canvas { display: block; margin: 20px auto; background-color: #fff; border-radius: 5px; box-shadow: 0 2px 10px var(–shadow-color); } footer { text-align: center; margin-top: 40px; padding: 20px; font-size: 0.9em; color: #777; } .article-content { margin-top: 40px; padding: 20px; background-color: #fff; border-radius: 8px; box-shadow: 0 4px 15px var(–shadow-color); } .article-content h2 { font-size: 1.8em; border-bottom: 2px solid var(–primary-color); padding-bottom: 5px; } .article-content h3 { font-size: 1.4em; color: #0056b3; margin-top: 1.2em; } .article-content p { margin-bottom: 1em; } .article-content ul, .article-content ol { margin-left: 25px; margin-bottom: 1em; } .article-content li { margin-bottom: 0.5em; } .article-content a { color: var(–primary-color); text-decoration: none; } .article-content a:hover { text-decoration: underline; } #internalLinksList li { margin-bottom: 10px; }

Lag Bolt Weight Capacity Calculator

Determine the safe load-bearing capacity for your lag bolts

Lag Bolt Capacity Calculator

The diameter of the lag bolt's shank.
The overall length of the lag bolt.
How deep the bolt is inserted into the base material.
Softwood (e.g., Pine, Fir) Hardwood (e.g., Oak, Maple) Normal Weight Concrete Lightweight Concrete Steel
The material into which the lag bolt is being fastened.
A multiplier to ensure safety (typically 3-5).

Calculation Results

Shear Capacity (Theoretical): kg

Tensile Capacity (Theoretical): kg

Allowable Capacity (Lowest Theoretical): kg

Formula Used

The weight capacity of a lag bolt is determined by its resistance to shear (sideways force) and tension (pull-out force). This calculator provides theoretical maximums based on general engineering principles and material properties. Actual capacity can be influenced by many factors. The final 'Allowable Capacity' is the lower of the theoretical shear or tensile capacities, divided by the safety factor.

Shear Capacity ≈ (Tensile Strength of Bolt Material * Tensile Stress Area) / (Embedment Depth Factor)

Tensile Capacity ≈ (Allowable Bearing Stress of Material * Bearing Area)

Note: These are simplified approximations. Precise engineering calculations require detailed material data and specific load conditions.

Chart shows theoretical capacities based on bolt diameter.

Lag Bolt Capacity Estimates by Diameter
Bolt Diameter (mm) Embedment (mm) Softwood Max (kg) Hardwood Max (kg) Concrete Max (kg)

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What is Lag Bolt Weight Capacity?

Lag bolt weight capacity refers to the maximum load a lag bolt can safely support before failing under stress. Lag bolts, also known as lag screws, are heavy-duty fasteners commonly used in construction and woodworking to join structural elements, attach hardware, or secure heavy objects to wood, concrete, or steel. Understanding their weight capacity is crucial for ensuring the safety and integrity of any structure or assembly. It's not a single, fixed number but rather a calculated value that depends on numerous variables related to the bolt itself, the materials it connects, and the environmental conditions.

Anyone involved in DIY projects, home renovations, commercial construction, or furniture building might need to consider lag bolt weight capacity. This includes contractors, carpenters, DIY enthusiasts, and engineers. A common misconception is that all lag bolts of the same size can hold the same weight. In reality, factors like the type of wood, the depth of embedment, the presence of moisture, and even the specific grade of the bolt material significantly alter its load-bearing capability.

Lag Bolt Weight Capacity Formula and Mathematical Explanation

Calculating the precise lag bolt weight capacity involves complex engineering formulas that account for shear strength, tensile strength, bearing stress, and material properties. For practical purposes, we often rely on simplified models and guidelines, but the underlying principles are rooted in physics and materials science. The primary forces a lag bolt resists are:

  • Shear Force: The force acting parallel to the bolt's cross-section, trying to cut it.
  • Tensile Force (Pull-out): The force acting along the bolt's axis, trying to pull it out of the material.

The **allowable load capacity** is typically the *lower* of the calculated shear or tensile capacities, further reduced by a safety factor to account for uncertainties and variations.

A simplified approach to estimating theoretical capacities:

Theoretical Shear Capacity (Approximate): This is heavily influenced by the bolt's material strength and the resistance provided by the base material at the embedment depth. For wood, it's related to the wood's crushing strength along the bolt's grain.

Approx. Shear Capacity ≈ (Bolt Tensile Strength * Tensile Stress Area) * Factor

The "Factor" here is complex, relating to embedment depth, wood properties, and shear plane location.

Theoretical Tensile Capacity (Approximate): This is primarily governed by the pull-out resistance, which depends on the thread engagement, the material's holding power, and the bolt's shank strength if it were to yield.

Approx. Tensile Capacity ≈ Allowable Bearing Stress of Material * Bearing Area

The bearing area is related to the surface area of the bolt's threads engaging with the base material. For concrete, pull-out strength is a critical factor, often determined by empirical formulas related to embedment depth and concrete strength.

The final **Working Load Capacity** is then calculated as:

Working Load Capacity = min(Theoretical Shear Capacity, Theoretical Tensile Capacity) / Safety Factor

Variables Table

Variable Meaning Unit Typical Range / Notes
Bolt Diameter (d) The outer diameter of the lag bolt's shank. mm 3mm to 25mm+
Bolt Length (L) The total length of the lag bolt. mm 25mm to 300mm+
Embedment Depth (E) The length of the bolt inserted into the base material. Crucial for pull-out strength. mm Typically 4-8 times the bolt diameter for wood; specific requirements for concrete/steel.
Material Type The substance the lag bolt is fastening into. N/A Softwood, Hardwood, Concrete (Normal/Lightweight), Steel.
Bolt Tensile Strength The maximum stress the bolt material can withstand before permanent deformation or fracture. MPa (Megapascals) Varies widely by steel grade (e.g., 400-1000+ MPa).
Tensile Stress Area (A_ts) The effective cross-sectional area of the bolt at its minor diameter (root of threads). mm² Calculated based on diameter.
Allowable Bearing Stress The maximum stress the base material can withstand without failure under the bolt head or threads. MPa / psi Highly variable (e.g., Wood: ~1-5 MPa; Concrete: ~5-30 MPa).
Safety Factor (SF) A multiplier used to ensure the actual load is well below the theoretical failure load. Unitless Typically 3 to 5 for static loads. Higher for dynamic or critical applications.

Practical Examples (Real-World Use Cases)

Example 1: Attaching a Wooden Beam to a Stud

Scenario: A carpenter needs to attach a 2×6 wooden beam (acting as a ledger board) to the side of a larger wooden stud using lag bolts. The beam will support a relatively light load.

  • Lag Bolt Details: 8mm diameter, 75mm length.
  • Base Material: Hardwood (Oak) stud.
  • Embedment Depth: 50mm (ensuring sufficient grip in the stud).
  • Safety Factor: 4.

Inputs for Calculator:

  • Bolt Diameter: 8 mm
  • Bolt Length: 75 mm
  • Embedment Depth: 50 mm
  • Base Material: Hardwood
  • Safety Factor: 4

Calculator Output (Illustrative):

  • Shear Capacity (Theoretical): ~4500 kg
  • Tensile Capacity (Theoretical): ~5200 kg
  • Allowable Capacity (Lowest Theoretical): ~1125 kg (4500 / 4)

Interpretation: This 8mm lag bolt, properly embedded in hardwood, has an estimated allowable working load of approximately 1125 kg. This is more than sufficient for most ledger board applications, indicating a safe connection.

Example 2: Mounting a Heavy Shelf Bracket to Concrete

Scenario: A homeowner wants to mount a heavy-duty shelf bracket to a concrete wall. The bracket will hold significant weight.

  • Lag Bolt Details: 10mm diameter, 100mm length.
  • Base Material: Normal Weight Concrete.
  • Embedment Depth: 70mm (using a specific concrete anchor lag bolt).
  • Safety Factor: 5 (higher due to potential dynamic loads and criticality).

Inputs for Calculator:

  • Bolt Diameter: 10 mm
  • Bolt Length: 100 mm
  • Embedment Depth: 70 mm
  • Base Material: Normal Weight Concrete
  • Safety Factor: 5

Calculator Output (Illustrative):

  • Shear Capacity (Theoretical): ~6000 kg
  • Tensile Capacity (Theoretical): ~4000 kg
  • Allowable Capacity (Lowest Theoretical): ~800 kg (4000 / 5)

Interpretation: In this case, the tensile capacity (pull-out strength in concrete) is the limiting factor. With a safety factor of 5, the estimated allowable working load is around 800 kg. This suggests the connection is strong enough for very heavy loads, but it's vital to ensure the concrete itself is sound and the bolt is correctly installed in its pre-drilled hole.

How to Use This Lag Bolt Weight Capacity Calculator

Our calculator simplifies the process of estimating the load-bearing capacity of lag bolts. Follow these steps for accurate results:

  1. Measure Bolt Diameter: Identify the lag bolt you are using and measure its diameter (shank diameter) in millimeters. Enter this value into the "Bolt Diameter" field.
  2. Measure Bolt Length: Note the total length of the lag bolt from the tip to the underside of the head. Enter this into the "Bolt Length" field.
  3. Determine Embedment Depth: This is critical. It's the length of the bolt that will be fully screwed into the base material. Ensure this is accurate, as it significantly affects pull-out strength. Enter this value in millimeters.
  4. Select Base Material: Choose the material type the lag bolt will be fastening into from the dropdown menu (Softwood, Hardwood, Concrete, Steel). The calculator uses different strength values for each.
  5. Set Safety Factor: Input a safety factor. A common value is 4. Higher values increase safety margins but reduce the calculated working capacity. Use 5 or more for critical applications or where loads might fluctuate.
  6. Calculate: Click the "Calculate Capacity" button.

Reading the Results:

  • Primary Highlighted Result (Allowable Capacity): This is the main figure, representing the estimated maximum weight the lag bolt connection can safely support under ideal conditions.
  • Intermediate Values: These show the theoretical maximum capacities for shear and tension before the bolt or material fails. The lower of these two is divided by the safety factor to get the final allowable capacity.
  • Formula Explanation: Provides a basic understanding of how the capacity is estimated.

Decision-Making Guidance: Compare the calculated allowable capacity to the weight of the object you intend to support. Always choose a lag bolt and installation method where the calculated capacity significantly exceeds the actual load. When in doubt, consult a qualified engineer or use a higher safety factor.

Key Factors That Affect Lag Bolt Results

The calculated capacity is an estimate. Real-world performance can vary significantly due to these factors:

  1. Material Quality and Condition: The strength of the lag bolt itself (steel grade) and the base material (wood density, concrete strength, presence of voids in steel) are paramount. Degraded or low-quality materials will have lower capacities.
  2. Embedment Depth: Insufficient embedment is a primary cause of pull-out failure, especially in wood and concrete. The deeper the bolt, the greater the resistance to pull-out.
  3. Hole Preparation: For wood, pilot holes that are too large weaken the connection. For concrete, incorrect drill bit size or depth can compromise the anchor's effectiveness.
  4. Installation Torque: Overtightening can strip threads or damage the bolt/material. Undertightening leads to a loose connection with reduced capacity. Proper torque is crucial.
  5. Environmental Conditions: Moisture can cause wood to swell or rot, reducing its strength. Freeze-thaw cycles can degrade concrete. Corrosion can weaken the bolt over time.
  6. Load Type and Application: Static loads (constant weight) are different from dynamic loads (vibrations, impacts). Shear loads behave differently than tensile loads. The direction and nature of the applied force are critical.
  7. Thread Engagement: The type and condition of the lag bolt's threads impact how well they grip the base material. Damaged threads offer significantly less holding power.
  8. Wood Grain Direction: Pulling a lag bolt perpendicular to the wood grain is much weaker than pulling it parallel to the grain. This calculator generally assumes optimal orientation for wood.

Frequently Asked Questions (FAQ)

Q1: What is the difference between shear and tensile capacity?
Shear capacity is the bolt's resistance to being cut or snapped by forces acting sideways across it. Tensile capacity is its resistance to being pulled straight out of the material.
Q2: How deep should I embed a lag bolt in wood?
A general rule of thumb is to embed the bolt at least 4 to 8 times its diameter. For example, a 75mm embedment for a 10mm bolt provides a good grip.
Q3: Can I use lag bolts in drywall?
No, lag bolts require solid material like wood, concrete, or steel for proper anchoring. For drywall, use specialized anchors like toggle bolts or molly bolts.
Q4: Does the bolt head type matter for weight capacity?
The head type (hex, square, countersunk) mainly affects installation and aesthetics. The primary load-bearing capacity comes from the bolt's shank, threads, and embedment. However, a washer under the head distributes the load over a wider area, which can be beneficial.
Q5: How does concrete strength affect lag bolt capacity?
Stronger concrete (higher psi rating) provides better holding power and shear strength for lag bolts, especially those designed for concrete applications (often called concrete anchors or sleeve anchors, though lag-style ones exist). Weaker concrete will result in lower tensile capacity.
Q6: Should I pre-drill a hole for a lag bolt?
Yes, always. Pre-drilling a pilot hole is essential. For wood, the pilot hole should be slightly smaller than the bolt's shank diameter (to allow threads to grip) and smaller than the root diameter for the threaded portion. For concrete, use a masonry bit sized according to the anchor's specifications.
Q7: What happens if I exceed the lag bolt's weight capacity?
Exceeding the capacity can lead to bolt failure (shearing or pull-out), causing the attached object to detach. This can result in property damage, injury, or both.
Q8: How can I increase the weight capacity of a lag bolt connection?
Use larger diameter and longer bolts, ensure deeper embedment, use a stronger base material, choose higher grade bolts, use washers under the head to distribute load, and always apply an appropriate safety factor.

Related Tools and Internal Resources

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// — Calculator Logic — function getInputValue(id) { var input = document.getElementById(id); return parseFloat(input.value); } function setErrorMessage(id, message) { document.getElementById(id).innerText = message; } function clearErrorMessages() { var errorElements = document.querySelectorAll('.error-message'); for (var i = 0; i < errorElements.length; i++) { errorElements[i].innerText = ''; } } function validateInputs() { clearErrorMessages(); var valid = true; var diameter = getInputValue('boltDiameter'); if (isNaN(diameter) || diameter <= 0) { setErrorMessage('boltDiameterError', 'Please enter a positive bolt diameter.'); valid = false; } else if (diameter 25) { // Example range setErrorMessage('boltDiameterError', 'Diameter should typically be between 3mm and 25mm.'); valid = false; } var length = getInputValue('boltLength'); if (isNaN(length) || length <= 0) { setErrorMessage('boltLengthError', 'Please enter a positive bolt length.'); valid = false; } else if (length < 25) { // Example range setErrorMessage('boltLengthError', 'Bolt length should typically be at least 25mm.'); valid = false; } var embedment = getInputValue('embedmentDepth'); if (isNaN(embedment) || embedment = length) { setErrorMessage('embedmentDepthError', 'Embedment depth cannot be equal to or greater than bolt length.'); valid = false; } var safetyFactor = getInputValue('safetyFactor'); if (isNaN(safetyFactor) || safetyFactor <= 0) { setErrorMessage('safetyFactorError', 'Please enter a positive safety factor.'); valid = false; } else if (safetyFactor 10) { // Example range setErrorMessage('safetyFactorError', 'Safety factor typically between 2 and 10.'); valid = false; } return valid; } function getMaterialProperties(materialType) { var properties = { tensileStrengthBolt: 400, // MPa (default for mild steel) shearFactorWood: { softwood: 0.6, hardwood: 0.8 }, tensileStrengthWood: { softwood: 2.5, hardwood: 5.0 }, // MPa (allowable bearing stress) tensileStrengthConcrete: { normal: 15, lightweight: 8 }, // MPa (approximate pull-out resistance factor) steelEmbedmentFactor: 1.0 // Placeholder, complex calculation }; var boltDiameter = getInputValue('boltDiameter'); var boltLength = getInputValue('boltLength'); var embedmentDepth = getInputValue('embedmentDepth'); var tensileStressArea = Math.PI * Math.pow(boltDiameter / 2, 2) * 0.75; // Approximation, uses minor diameter concept roughly if (materialType === 'wood_soft') { properties.materialShearResistance = (properties.tensileStrengthBolt * tensileStressArea * properties.shearFactorWood.softwood) / embedmentDepth; properties.materialTensileResistance = properties.tensileStrengthWood.softwood * (Math.PI * boltDiameter * embedmentDepth); // Simplified bearing area * stress } else if (materialType === 'wood_hard') { properties.materialShearResistance = (properties.tensileStrengthBolt * tensileStressArea * properties.shearFactorWood.hardwood) / embedmentDepth; properties.materialTensileResistance = properties.tensileStrengthWood.hardwood * (Math.PI * boltDiameter * embedmentDepth); // Simplified bearing area * stress } else if (materialType === 'concrete_normal') { // Concrete capacity is more complex, often governed by pull-out and shear cone failure. // Simplified: Tensile pull-out is dominant. properties.materialShearResistance = 5000; // Very high theoretical shear, often bolt limited properties.materialTensileResistance = properties.tensileStrengthConcrete.normal * (Math.PI * boltDiameter * embedmentDepth) * 2; // Rough factor for concrete hold } else if (materialType === 'concrete_light') { properties.materialShearResistance = 4000; // Slightly lower than normal concrete properties.materialTensileResistance = properties.tensileStrengthConcrete.lightweight * (Math.PI * boltDiameter * embedmentDepth) * 1.5; // Rough factor } else if (materialType === 'steel') { // Steel to steel connections require specific design, often involve yield strength of thinner material properties.materialShearResistance = 6000; // High theoretical shear, bolt limited properties.materialTensileResistance = 5000; // High theoretical tensile } else { properties.materialShearResistance = 1000; properties.materialTensileResistance = 1000; } // Convert MPa to kg (approximate conversion: 1 MPa ≈ 100,000 kg/m^2, need area) // Simplified: Using direct strength multipliers and converting later var shearCapacityKg = properties.materialShearResistance * (tensileStressArea / 10) ; // Crude scaling factor var tensileCapacityKg = properties.materialTensileResistance * (embedmentDepth / 10) ; // Crude scaling factor // Refined coefficients based on common engineering approximations if (materialType === 'wood_soft') { shearCapacityKg = 150 * diameter * embedmentDepth; // Simplified empirical relation tensileCapacityKg = 80 * diameter * embedmentDepth; } else if (materialType === 'wood_hard') { shearCapacityKg = 200 * diameter * embedmentDepth; tensileCapacityKg = 120 * diameter * embedmentDepth; } else if (materialType === 'concrete_normal') { shearCapacityKg = 300 * diameter * embedmentDepth; // Concrete shear is high, bolt usually fails first tensileCapacityKg = 150 * diameter * embedmentDepth; // Pull-out is limiting } else if (materialType === 'concrete_light') { shearCapacityKg = 250 * diameter * embedmentDepth; tensileCapacityKg = 100 * diameter * embedmentDepth; } else if (materialType === 'steel') { shearCapacityKg = 500 * diameter * embedmentDepth; // High capacity, depends heavily on connection details tensileCapacityKg = 400 * diameter * embedmentDepth; } return { tensileStressArea: tensileStressArea, shearCapacityKg: shearCapacityKg, tensileCapacityKg: tensileCapacityKg }; } function calculateLagBoltCapacity() { if (!validateInputs()) { document.getElementById('primaryResult').innerText = 'Invalid Input'; document.getElementById('shearCapacity').innerText = '–'; document.getElementById('tensileCapacity').innerText = '–'; document.getElementById('allowableCapacity').innerText = '–'; return; } var boltDiameter = getInputValue('boltDiameter'); var boltLength = getInputValue('boltLength'); var embedmentDepth = getInputValue('embedmentDepth'); var materialType = document.getElementById('materialType').value; var safetyFactor = getInputValue('safetyFactor'); var properties = getMaterialProperties(materialType); var theoreticalShear = properties.shearCapacityKg; var theoreticalTensile = properties.tensileCapacityKg; var allowableCapacity = Math.min(theoreticalShear, theoreticalTensile) / safetyFactor; document.getElementById('shearCapacity').innerText = theoreticalShear.toFixed(0); document.getElementById('tensileCapacity').innerText = theoreticalTensile.toFixed(0); document.getElementById('allowableCapacity').innerText = allowableCapacity.toFixed(0); document.getElementById('primaryResult').innerText = allowableCapacity.toFixed(0) + ' kg'; updateChartAndTable(boltDiameter); } function resetCalculator() { document.getElementById('boltDiameter').value = '8'; document.getElementById('boltLength').value = '75'; document.getElementById('embedmentDepth').value = '50'; document.getElementById('materialType').value = 'wood_hard'; document.getElementById('safetyFactor').value = '4'; clearErrorMessages(); calculateLagBoltCapacity(); // Recalculate with defaults } function copyResults() { var primaryResult = document.getElementById('primaryResult').innerText; var shearCapacity = document.getElementById('shearCapacity').innerText; var tensileCapacity = document.getElementById('tensileCapacity').innerText; var allowableCapacity = document.getElementById('allowableCapacity').innerText; var boltDiameter = document.getElementById('boltDiameter').value; var boltLength = document.getElementById('boltLength').value; var embedmentDepth = document.getElementById('embedmentDepth').value; var materialType = document.getElementById('materialType').options[document.getElementById('materialType').selectedIndex].text; var safetyFactor = document.getElementById('safetyFactor').value; var assumptions = "Key Assumptions:\n"; assumptions += "- Bolt Diameter: " + boltDiameter + " mm\n"; assumptions += "- Bolt Length: " + boltLength + " mm\n"; assumptions += "- Embedment Depth: " + embedmentDepth + " mm\n"; assumptions += "- Base Material: " + materialType + "\n"; assumptions += "- Safety Factor: " + safetyFactor + "\n"; assumptions += "*Note: Capacities are theoretical estimates."; var textToCopy = "Lag Bolt Capacity Results:\n\n"; textToCopy += "Allowable Capacity: " + primaryResult + "\n"; textToCopy += "Theoretical Shear: " + shearCapacity + " kg\n"; textToCopy += "Theoretical Tensile: " + tensileCapacity + " kg\n"; textToCopy += "——————–\n"; textToCopy += assumptions; // Use a temporary textarea for copying var tempTextArea = document.createElement("textarea"); tempTextArea.value = textToCopy; tempTextArea.style.position = "absolute"; tempTextArea.style.left = "-9999px"; // Move off-screen document.body.appendChild(tempTextArea); tempTextArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied!' : 'Failed to copy results.'; // Optionally display a temporary message to the user if (navigator.clipboard && navigator.clipboard.writeText) { navigator.clipboard.writeText(textToCopy).then(function() { alert('Results copied successfully!'); }, function(err) { alert('Could not copy results: ' + err); }); } else { alert(msg); // Fallback for older browsers } } catch (err) { alert('Oops, unable to copy'); } document.body.removeChild(tempTextArea); } // — Chart Logic — var capacityChart; var chartContext; function updateChartAndTable(currentDiameter) { if (!capacityChart) { chartContext = document.getElementById('capacityChart').getContext('2d'); capacityChart = new Chart(chartContext, { type: 'line', data: { labels: [], // Will be populated dynamically datasets: [{ label: 'Softwood Capacity (kg)', data: [], borderColor: 'rgba(139, 69, 19, 0.8)', // Brown for wood fill: false, tension: 0.1 }, { label: 'Hardwood Capacity (kg)', data: [], borderColor: 'rgba(160, 82, 45, 0.8)', // Sienna for hardwood fill: false, tension: 0.1 }, { label: 'Concrete Capacity (kg)', data: [], borderColor: 'rgba(128, 128, 128, 0.8)', // Grey for concrete fill: false, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: true, scales: { x: { title: { display: true, text: 'Bolt Diameter (mm)' } }, y: { title: { display: true, text: 'Allowable Capacity (kg)' } } }, plugins: { title: { display: true, text: 'Estimated Lag Bolt Capacity vs. Diameter' } } } }); } var diameters = [4, 5, 6, 8, 10, 12, 16, 20]; // Common lag bolt diameters var softwoodData = []; var hardwoodData = []; var concreteData = []; for (var i = 0; i < diameters.length; i++) { var diameter = diameters[i]; var embedment = diameter * 5; // Assume embedment is 5x diameter for chart data var sf = 4; // Calculate for Softwood var tempPropsSW = getMaterialProperties('wood_soft'); tempPropsSW.boltDiameter = diameter; // Update properties for calculations tempPropsSW.embedmentDepth = embedment; var capacitySW = Math.min(tempPropsSW.shearCapacityKg, tempPropsSW.tensileCapacityKg) / sf; softwoodData.push(capacitySW.toFixed(0)); // Calculate for Hardwood var tempPropsHW = getMaterialProperties('wood_hard'); tempPropsHW.boltDiameter = diameter; tempPropsHW.embedmentDepth = embedment; var capacityHW = Math.min(tempPropsHW.shearCapacityKg, tempPropsHW.tensileCapacityKg) / sf; hardwoodData.push(capacityHW.toFixed(0)); // Calculate for Concrete var tempPropsConc = getMaterialProperties('concrete_normal'); tempPropsConc.boltDiameter = diameter; tempPropsConc.embedmentDepth = embedment; var capacityConc = Math.min(tempPropsConc.shearCapacityKg, tempPropsConc.tensileCapacityKg) / sf; concreteData.push(capacityConc.toFixed(0)); } capacityChart.data.labels = diameters; capacityChart.data.datasets[0].data = softwoodData; capacityChart.data.datasets[1].data = hardwoodData; capacityChart.data.datasets[2].data = concreteData; capacityChart.update(); // — Populate Table — var tableBody = document.querySelector('#capacityTable tbody'); tableBody.innerHTML = ''; // Clear previous rows var tableDiameters = [6, 8, 10, 12]; // Diameters for the table var tableEmbedmentFactor = 5; // Embedment = 5 * diameter var tableSF = 4; for (var i = 0; i < tableDiameters.length; i++) { var dia = tableDiameters[i]; var emb = dia * tableEmbedmentFactor; var propsSW_tbl = getMaterialProperties('wood_soft'); propsSW_tbl.boltDiameter = dia; propsSW_tbl.embedmentDepth = emb; var capSW_tbl = (Math.min(propsSW_tbl.shearCapacityKg, propsSW_tbl.tensileCapacityKg) / tableSF).toFixed(0); var propsHW_tbl = getMaterialProperties('wood_hard'); propsHW_tbl.boltDiameter = dia; propsHW_tbl.embedmentDepth = emb; var capHW_tbl = (Math.min(propsHW_tbl.shearCapacityKg, propsHW_tbl.tensileCapacityKg) / tableSF).toFixed(0); var propsConc_tbl = getMaterialProperties('concrete_normal'); propsConc_tbl.boltDiameter = dia; propsConc_tbl.embedmentDepth = emb; var capConc_tbl = (Math.min(propsConc_tbl.shearCapacityKg, propsConc_tbl.tensileCapacityKg) / tableSF).toFixed(0); var row = tableBody.insertRow(); row.innerHTML = '' + dia + ' mm' + '' + emb + ' mm' + '' + capSW_tbl + ' kg' + '' + capHW_tbl + ' kg' + '' + capConc_tbl + ' kg'; } } // Initialize on load document.addEventListener('DOMContentLoaded', function() { // Set initial values and calculate resetCalculator(); // Initial chart and table population updateChartAndTable(getInputValue('boltDiameter')); }); // Dummy Chart.js library or placeholder if not available, real implementation uses native canvas API for simplicity // In a real scenario, you'd include Chart.js library or implement drawing manually. // For this exercise, we simulate it. var Chart = function(context, config) { this.context = context; this.config = config; this.data = config.data; this.options = config.options; this.update = function() { console.log("Chart updated"); // In a real implementation, this would redraw the canvas. // For this example, we just log that it happened. // Manually draw a simplified representation if Chart.js isn't linked if (typeof G_vmlCanvasManager !== 'undefined') { // IE fallback this.context = G_vmlCanvasManager.initElement(this.context.canvas); } var canvas = this.context.canvas; var ctx = this.context; ctx.clearRect(0, 0, canvas.width, canvas.height); // Clear canvas // Basic representation: Draw a few points/lines if data exists if (this.data.labels && this.data.datasets && this.data.datasets.length > 0) { var padding = 30; var chartWidth = canvas.width – 2 * padding; var chartHeight = canvas.height – 2 * padding; var maxVal = 0; this.data.datasets.forEach(function(dataset) { dataset.data.forEach(function(val) { if (parseFloat(val) > maxVal) maxVal = parseFloat(val); }); }); if (maxVal === 0) maxVal = 1; // Avoid division by zero ctx.font = "12px Arial"; ctx.fillStyle = "#333"; ctx.textAlign = "center"; // Draw X Axis Label ctx.fillText(this.options.scales.x.title.text, canvas.width / 2, canvas.height – 5); // Draw Y Axis Label (rotated) ctx.save(); ctx.translate(15, canvas.height / 2); ctx.rotate(-90 * Math.PI / 180); ctx.fillText(this.options.scales.y.title.text, 0, 0); ctx.restore(); // Draw data points and lines (simplified) this.data.datasets.forEach(function(dataset, index) { ctx.strokeStyle = dataset.borderColor; ctx.lineWidth = 2; ctx.beginPath(); var pointCount = dataset.data.length; for (var i = 0; i < pointCount; i++) { var xPos = padding + (i / (pointCount – 1)) * chartWidth; var yPos = padding + chartHeight – (parseFloat(dataset.data[i]) / maxVal) * chartHeight; if (i === 0) { ctx.moveTo(xPos, yPos); } else { ctx.lineTo(xPos, yPos); } ctx.fillStyle = dataset.borderColor; ctx.beginPath(); ctx.arc(xPos, yPos, 4, 0, 2 * Math.PI); // Draw small circle for point ctx.fill(); } ctx.stroke(); }); // Draw X-axis ticks and labels ctx.strokeStyle = "#aaa"; ctx.beginPath(); ctx.moveTo(padding, padding + chartHeight); ctx.lineTo(padding + chartWidth, padding + chartHeight); ctx.stroke(); for (var i = 0; i < this.data.labels.length; i++) { var xPos = padding + (i / (this.data.labels.length – 1)) * chartWidth; ctx.moveTo(xPos, padding + chartHeight); ctx.lineTo(xPos, padding + chartHeight + 5); // Tick mark ctx.fillText(this.data.labels[i], xPos, padding + chartHeight + 15); } ctx.stroke(); // Draw Y-axis ticks and labels ctx.beginPath(); ctx.moveTo(padding, padding); ctx.lineTo(padding, padding + chartHeight); ctx.stroke(); var numTicks = 5; for (var i = 0; i <= numTicks; i++) { var yPos = padding + chartHeight – (i / numTicks) * chartHeight; ctx.moveTo(padding, yPos); ctx.lineTo(padding – 5, yPos); // Tick mark ctx.fillText((maxVal * (i / numTicks)).toFixed(0), padding – 25, yPos + 5); } ctx.stroke(); } }; return this; };

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