Arrow Spine Weight Calculator

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Arrow Spine Weight Calculator

Find the perfect spine for your archery setup.

Arrow Spine Weight Calculator

Enter your archery setup details below to calculate the recommended arrow spine weight.

Measured in pounds (lbs).
Measured in inches (in). }
Measured from nock groove to shaft end (in).
Measured in grains (gr).
Center Shot Slight Offset (e.g., 0.05 in) Moderate Offset (e.g., 0.1 in) Adjusts for arrow clearance. 0 is standard.

Your Recommended Arrow Spine

Estimated Dynamic Spine: lbs/in
Arrow Stiffness Factor:
Arrow Spine Range: lbs/in
Formula Used: This calculator uses a simplified model. The primary calculation estimates dynamic spine based on static spine principles, adjusted by factors like point weight and arrow length. A more precise calculation involves complex physics and often requires empirical testing. The "Arrow Stiffness Factor" is a derived metric to help understand the arrow's behavior relative to the bow.

Spine Weight Data Table

Typical Spine Weight Ranges
Arrow Spine (lbs/in) Typical Use Case
250 – 340 Light bows, shorter draw lengths, lighter points
350 – 440 Medium bows, standard draw lengths, moderate points
450 – 550 Heavy bows, longer draw lengths, heavier points
550+ Very heavy bows, specialized setups

Spine vs. Arrow Length Chart

What is Arrow Spine Weight?

Arrow spine weight, often simply called "spine," is a critical measurement in archery that quantifies an arrow's stiffness. It's not a measure of the arrow's physical weight, but rather its resistance to bending. A higher spine number indicates a stiffer arrow, while a lower spine number indicates a more flexible arrow. Choosing the correct arrow spine weight is paramount for achieving accurate and consistent arrow flight. An arrow that is too stiff or too flexible for your bow setup will fly erratically, leading to poor accuracy and potentially damaging your equipment.

Who should use it: Any archer, from beginner to professional, who shoots a recurve, longbow, or compound bow, needs to understand and select the appropriate arrow spine weight. This includes target archers, bowhunters, and recreational shooters. Proper spine selection is fundamental to tuning your archery equipment for optimal performance.

Common misconceptions:

  • Spine is the same as arrow weight: This is incorrect. Spine measures stiffness, while arrow weight measures mass (typically in grains). While heavier points can influence dynamic spine, they don't directly equate to stiffness.
  • Stiffer is always better: This is false. The goal is to match the arrow's spine to the bow's characteristics. An arrow that is too stiff or too flexible will fly poorly.
  • All arrows of the same spine rating are identical: While spine is a primary indicator, factors like shaft material, wall thickness, and manufacturing tolerances can cause slight variations between different brands and models of arrows with the same spine rating.

Arrow Spine Weight Formula and Mathematical Explanation

Calculating the precise dynamic spine of an arrow is a complex process involving physics and material science. However, we can approximate it using established principles and empirical data. The core idea is that an arrow needs to be stiff enough to resist excessive flexing when shot from the bow, but flexible enough to correct its trajectory after the initial launch.

A common starting point is the concept of **static spine**, which is measured by supporting an arrow at two points 28 inches apart and measuring the deflection caused by a 1.94-pound weight. This is typically expressed in pounds per inch (lbs/in).

The **dynamic spine** is what the arrow experiences in flight. It's influenced by several factors:

  • Static Spine: The inherent stiffness of the arrow shaft.
  • Bow Weight: Higher draw weight bows impart more force, requiring stiffer arrows.
  • Draw Length: Longer draw lengths increase the force applied to the arrow.
  • Arrow Length: Shorter arrows are generally stiffer.
  • Point Weight: Heavier points increase the leverage on the front of the arrow, making it appear more flexible (lower dynamic spine).
  • Arrow Offset/Fletching: These can influence how the arrow tunes.

A simplified formula to estimate the **effective dynamic spine** can be derived from static spine and point weight, though it's a rough approximation:

Effective Dynamic Spine ≈ Static Spine + (Point Weight / 100) * OffsetFactor

Where:

  • Static Spine: The manufacturer's rated spine (e.g., 400 lbs/in).
  • Point Weight: The weight of the arrow tip in grains.
  • OffsetFactor: A multiplier that accounts for how point weight affects spine. A common rule of thumb is that every 25 grains of point weight changes the dynamic spine by approximately 5 lbs/in. For simplicity in this calculator, we use a generalized factor.

Our calculator uses a proprietary algorithm that considers these factors to provide an estimated dynamic spine and a recommended spine range. The "Arrow Stiffness Factor" is a derived metric to help visualize the arrow's behavior relative to the bow's energy.

Variables Table

Arrow Spine Calculation Variables
Variable Meaning Unit Typical Range
Bow Draw Weight The peak force required to draw the bow. lbs 30 – 80+
Draw Length The distance from the grip to the string at full draw. inches 25 – 32+
Arrow Length Length of the arrow shaft from nock groove to end. inches 24 – 32+
Arrow Point Weight The weight of the arrow tip. grains (gr) 75 – 200+
Arrow Offset Adjustment for arrow clearance and tuning. (unitless factor) 0 – 0.1
Static Spine Manufacturer's rated stiffness of the arrow shaft. lbs/in 250 – 700+
Dynamic Spine The arrow's effective stiffness in flight. lbs/in (Calculated)
Arrow Stiffness Factor A derived metric for relative stiffness. (unitless) (Calculated)

Practical Examples (Real-World Use Cases)

Understanding arrow spine weight is crucial for optimizing your archery performance. Here are a couple of examples:

Example 1: The Traditional Archer

Scenario: Sarah shoots a traditional recurve bow with a draw weight of 45 lbs at her 28-inch draw length. She uses arrows that are 29 inches long and plans to use 125-grain field points. She wants to ensure her arrows fly true for target practice.

Inputs:

  • Bow Draw Weight: 45 lbs
  • Draw Length: 28 in
  • Arrow Length: 29 in
  • Arrow Point Weight: 125 gr
  • Arrow Offset: 0 (Center Shot)

Calculator Output (Illustrative):

  • Recommended Spine: 400 lbs/in
  • Estimated Dynamic Spine: 415 lbs/in
  • Arrow Stiffness Factor: 1.15
  • Arrow Spine Range: 375 – 425 lbs/in

Interpretation: The calculator suggests that a 400-spine arrow is a good starting point. The estimated dynamic spine is slightly higher, indicating it might be on the stiffer side, but well within the acceptable range. Sarah should look for arrows rated around 400 spine and consider testing 375 and 425 spine arrows if tuning issues arise. This spine weight is appropriate for her bow's power and her setup.

Example 2: The Compound Bowhunter

Scenario: Mark is setting up a new compound bow for hunting. His bow is set to 70 lbs draw weight, and his draw length is 30 inches. He plans to use arrows cut to 28 inches and equipped with heavy 150-grain broadheads.

Inputs:

  • Bow Draw Weight: 70 lbs
  • Draw Length: 30 in
  • Arrow Length: 28 in
  • Arrow Point Weight: 150 gr
  • Arrow Offset: 0.05 (Slight Offset)

Calculator Output (Illustrative):

  • Recommended Spine: 340 lbs/in
  • Estimated Dynamic Spine: 330 lbs/in
  • Arrow Stiffness Factor: 0.92
  • Arrow Spine Range: 320 – 360 lbs/in

Interpretation: For Mark's powerful compound bow and heavy broadheads, a 340-spine arrow is recommended. The estimated dynamic spine is slightly lower than the static spine, which is typical with heavier points and longer draw lengths. This suggests the arrow will flex appropriately to stabilize after release. The slight offset also plays a role. Mark should aim for 340 spine arrows and potentially test 320 or 360 spine if needed for fine-tuning.

How to Use This Arrow Spine Weight Calculator

Using our arrow spine weight calculator is straightforward. Follow these steps to determine the optimal spine for your archery needs:

  1. Gather Your Setup Information: You'll need accurate measurements for your bow and arrow configuration.
  2. Enter Bow Draw Weight: Input the peak draw weight of your bow in pounds (lbs).
  3. Enter Draw Length: Provide your personal draw length in inches (in). This is crucial as it dictates how much energy is transferred to the arrow.
  4. Enter Arrow Length: Measure your arrows from the bottom of the nock groove to the end of the shaft (where the point inserts) in inches (in).
  5. Enter Arrow Point Weight: Specify the weight of the arrow tip you intend to use, measured in grains (gr). This includes field points, broadheads, or other inserts.
  6. Select Arrow Offset: Choose the arrow offset setting that best matches your bow's tuning. 'Center Shot' (0) is standard. A slight or moderate offset might be used for specific tuning adjustments.
  7. Click 'Calculate Spine': Once all values are entered, click the button.

How to Read Results:

  • Recommended Spine: This is the primary spine rating (e.g., 400 lbs/in) that is generally considered the best match for your setup.
  • Estimated Dynamic Spine: This value reflects how the arrow will behave in flight, considering factors like point weight. A dynamic spine close to the static spine is often ideal.
  • Arrow Stiffness Factor: A relative measure. A factor around 1.0 suggests a good match. Values significantly above 1.0 might indicate a slightly stiff arrow, while values below 1.0 might suggest a slightly flexible arrow.
  • Arrow Spine Range: This provides a window of acceptable spine ratings. If your primary recommendation doesn't tune perfectly, arrows within this range are good candidates for testing.

Decision-Making Guidance: Use the recommended spine as your starting point. If you experience tuning issues (e.g., consistent left or right tears on paper, erratic flight), consider testing arrows at the higher or lower end of the suggested range. For example, if the recommended spine is 400 and you have tuning problems, try a 375 or 425 spine arrow.

Key Factors That Affect Arrow Spine Weight Results

Several variables significantly influence the required arrow spine weight and the resulting performance. Understanding these factors is key to effective archery tuning:

  1. Bow Draw Weight: This is the most direct factor. A heavier draw weight imparts more force, requiring a stiffer arrow (higher spine) to prevent excessive flexing and "fishtailing."
  2. Draw Length: A longer draw length means the string travels further and accelerates the arrow more, increasing the force applied. This generally necessitates a stiffer arrow (higher spine) compared to a shorter draw length with the same bow weight.
  3. Arrow Length: Shorter arrows are inherently stiffer than longer arrows made from the same shaft material. When cutting arrows, you effectively increase their spine. Therefore, longer arrows require lower spine ratings, and shorter arrows require higher spine ratings.
  4. Arrow Point Weight: Heavier points increase the leverage on the front of the arrow, causing it to flex more. This effectively lowers the dynamic spine. Archers using heavy broadheads often need to select a stiffer arrow (higher spine) than they would with lighter field points.
  5. Arrow Material and Construction: While spine rating is standardized, the actual stiffness can vary slightly between carbon, aluminum, wood, or composite arrows. Wall thickness and manufacturing processes also play a role. Some arrows might feel stiffer or more flexible than their rating suggests.
  6. Arrow Offset and Fletching: The way the arrow rests on the rest and the type/size of fletching can influence tuning. An offset rest or specific fletching can sometimes compensate for minor spine mismatches, but it's not a substitute for correct spine selection.
  7. Shooting Style and Release: A clean, consistent release is vital. Inconsistent releases can introduce torque or paradox issues that mimic spine problems. While not directly affecting the calculated spine, it impacts how well a chosen spine performs.
  8. Arrow Spine Tolerance: Manufacturers have tolerances. A batch of "400" spine arrows might vary slightly from another batch or brand. It's why testing within a range is often recommended.

Frequently Asked Questions (FAQ)

What is the difference between static spine and dynamic spine?

Static spine is the inherent stiffness of the arrow shaft as measured by a standard test (e.g., deflection under load). Dynamic spine is how the arrow behaves in flight after being launched from a specific bow, influenced by factors like draw weight, draw length, and point weight.

Can I use a stiffer arrow than recommended?

Yes, but it's generally not ideal. A significantly stiffer arrow (higher spine) might fly true but could result in a harsher launch, less forgiveness on release errors, and potentially less efficient energy transfer. It's best to stay within the recommended range.

Can I use a more flexible arrow than recommended?

Using a more flexible arrow (lower spine) is usually problematic. It will likely flex excessively, leading to erratic flight, "fishtailing," and poor accuracy. It can also put undue stress on the arrow and bow.

How does point weight affect spine?

Heavier points increase the leverage on the front of the arrow, causing it to bend more upon release. This effectively reduces the dynamic spine. Archers often need to select a stiffer arrow (higher spine rating) when using heavier points.

Does arrow length affect spine?

Yes. A longer arrow is more flexible (lower spine) than a shorter arrow made from the same shaft. When you cut an arrow shorter, you increase its stiffness (higher spine).

What spine should I use for hunting vs. target shooting?

For hunting, heavier points (broadheads) are common, often requiring a stiffer arrow (higher spine) to compensate. For target shooting, lighter field points might allow for a slightly more flexible arrow (lower spine) for potentially better forgiveness. However, the core principles of matching the arrow to the bow remain the same.

My arrows are fletched with vanes, does that matter?

Vanes generally provide more steering and stabilization than feathers. While they don't directly change the arrow's spine, they can sometimes help stabilize an arrow that is slightly off-spine, potentially masking minor tuning issues. However, proper spine selection is still paramount.

What if my calculated spine is exactly between two common spine sizes (e.g., 375)?

If your calculation falls exactly between two standard spine sizes (like 350 and 400), it's often best to test both. Many archers find that the stiffer option (400 in this case) offers better forgiveness and tuning potential, especially with heavier points or longer draw lengths. However, empirical testing is always the best approach.

How do I perform a paper tear test for tuning?

A paper tear test involves shooting an arrow through a sheet of paper stretched tautly. Observing the tear pattern (left, right, up, or down) indicates whether the arrow is too flexible or too stiff for the bow. A clean, straight tear is the goal. Consult archery resources for detailed instructions on interpreting tear patterns and making adjustments.

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var bowWeightInput = document.getElementById('bowWeight'); var drawLengthInput = document.getElementById('drawLength'); var arrowLengthInput = document.getElementById('arrowLength'); var arrowPointWeightInput = document.getElementById('arrowPointWeight'); var arrowOffsetInput = document.getElementById('arrowOffset'); var bowWeightError = document.getElementById('bowWeightError'); var drawLengthError = document.getElementById('drawLengthError'); var arrowLengthError = document.getElementById('arrowLengthError'); var arrowPointWeightError = document.getElementById('arrowPointWeightError'); var primaryResultDiv = document.getElementById('primaryResult'); var dynamicSpineSpan = document.getElementById('dynamicSpine'); var stiffnessFactorSpan = document.getElementById('stiffnessFactor'); var spineRangeSpan = document.getElementById('spineRange'); var chart = null; var chartContext = null; function validateInput(value, min, max, errorElement, inputName) { if (value === ") { errorElement.textContent = inputName + ' cannot be empty.'; return false; } var numValue = parseFloat(value); if (isNaN(numValue)) { errorElement.textContent = inputName + ' must be a number.'; return false; } if (numValue max) { errorElement.textContent = inputName + ' cannot be greater than ' + max + '.'; return false; } errorElement.textContent = "; return true; } function calculateSpine() { var bowWeight = parseFloat(bowWeightInput.value); var drawLength = parseFloat(drawLengthInput.value); var arrowLength = parseFloat(arrowLengthInput.value); var arrowPointWeight = parseFloat(arrowPointWeightInput.value); var arrowOffset = parseFloat(arrowOffsetInput.value); var isValid = true; isValid = validateInput(bowWeightInput.value, 10, 100, bowWeightError, 'Bow Draw Weight') && isValid; isValid = validateInput(drawLengthInput.value, 15, 40, drawLengthError, 'Draw Length') && isValid; isValid = validateInput(arrowLengthInput.value, 20, 36, arrowLengthError, 'Arrow Length') && isValid; isValid = validateInput(arrowPointWeightInput.value, 50, 250, arrowPointWeightError, 'Arrow Point Weight') && isValid; if (!isValid) { primaryResultDiv.textContent = 'ERR'; dynamicSpineSpan.textContent = '–'; stiffnessFactorSpan.textContent = '–'; spineRangeSpan.textContent = '–'; updateChart([]); return; } // Simplified Spine Calculation Logic (Illustrative) // This is a complex calculation in reality. This is a simplified model. // Factors: Bow Weight, Draw Length, Arrow Length, Point Weight, Offset // Base spine estimation (higher bow weight, longer draw -> higher spine needed) var baseSpineEstimate = (bowWeight * 1.2) + (drawLength * 5); // Adjust for arrow length (shorter arrow = stiffer = higher spine) var lengthAdjustment = (28 – arrowLength) * 10; // Example adjustment // Adjust for point weight (heavier point = more flex = lower dynamic spine) // Rule of thumb: ~5 lbs/in change for every 25 grains var pointWeightAdjustment = ((arrowPointWeight – 125) / 25) * -5; // Combine adjustments to estimate static spine var estimatedStaticSpine = baseSpineEstimate + lengthAdjustment + pointWeightAdjustment; // Further adjustment for dynamic spine (simplified) // Dynamic spine is often slightly lower than static spine due to paradox var dynamicSpine = estimatedStaticSpine * 0.95; // Example reduction // Ensure dynamic spine is within a reasonable range dynamicSpine = Math.max(250, Math.min(700, dynamicSpine)); // Calculate Stiffness Factor (relative to a baseline, e.g., 400 spine) var stiffnessFactor = dynamicSpine / 400; // Determine recommended spine and range var recommendedSpine; var spineRangeMin; var spineRangeMax; if (dynamicSpine < 300) { recommendedSpine = 300; spineRangeMin = 250; spineRangeMax = 340; } else if (dynamicSpine < 375) { recommendedSpine = 350; spineRangeMin = 300; spineRangeMax = 400; } else if (dynamicSpine < 425) { recommendedSpine = 400; spineRangeMin = 350; spineRangeMax = 450; } else if (dynamicSpine 0.02) { recommendedSpine = Math.max(250, recommendedSpine – 25); } primaryResultDiv.textContent = recommendedSpine + ' lbs/in'; dynamicSpineSpan.textContent = dynamicSpine.toFixed(1); stiffnessFactorSpan.textContent = stiffnessFactor.toFixed(2); spineRangeSpan.textContent = spineRangeMin + ' – ' + spineRangeMax + ' lbs/in'; // Update Chart Data var chartData = generateChartData(bowWeight, drawLength, arrowLength, arrowPointWeight, dynamicSpine); updateChart(chartData); } function generateChartData(bowWeight, drawLength, arrowLength, arrowPointWeight, dynamicSpine) { var dataPoints = []; var baseSpine = 250; var step = 50; var maxSpine = 700; for (var spine = baseSpine; spine shorter arrow possible estimatedArrowLength = 28 – lengthFactor; estimatedArrowLength = Math.max(24, Math.min(32, estimatedArrowLength)); // Clamp range // Simplified model for chart: How point weight might change for a given spine var estimatedPointWeight = 125; // Baseline var pointFactor = (spine – 400) / -5 * 25; // Higher spine -> heavier point possible estimatedPointWeight = 125 + pointFactor; estimatedPointWeight = Math.max(75, Math.min(200, estimatedPointWeight)); // Clamp range dataPoints.push({ spine: spine, arrowLength: estimatedArrowLength.toFixed(1), pointWeight: estimatedPointWeight.toFixed(0) }); } return dataPoints; } function updateChart(chartData) { if (!chartContext) { var canvas = document.getElementById('spineChart'); chartContext = canvas.getContext('2d'); } if (chart) { chart.destroy(); } if (!chartData || chartData.length === 0) return; var labels = chartData.map(function(d) { return d.spine + ' lbs/in'; }); var arrowLengths = chartData.map(function(d) { return d.arrowLength; }); var pointWeights = chartData.map(function(d) { return d.pointWeight; }); chart = new Chart(chartContext, { type: 'line', data: { labels: labels, datasets: [{ label: 'Max Arrow Length (in)', data: arrowLengths, borderColor: 'rgba(0, 74, 153, 1)', backgroundColor: 'rgba(0, 74, 153, 0.2)', fill: false, tension: 0.1 }, { label: 'Max Point Weight (gr)', data: pointWeights, borderColor: 'rgba(40, 167, 69, 1)', backgroundColor: 'rgba(40, 167, 69, 0.2)', fill: false, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: false, title: { display: true, text: 'Value' } }, x: { title: { display: true, text: 'Arrow Spine (lbs/in)' } } }, plugins: { title: { display: true, text: 'Arrow Spine vs. Length & Point Weight' }, tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y; } return label; } } } } } }); } function resetCalculator() { bowWeightInput.value = 50; drawLengthInput.value = 28; arrowLengthInput.value = 28; arrowPointWeightInput.value = 125; arrowOffsetInput.value = 0; bowWeightError.textContent = "; drawLengthError.textContent = "; arrowLengthError.textContent = "; arrowPointWeightError.textContent = "; primaryResultDiv.textContent = '–'; dynamicSpineSpan.textContent = '–'; stiffnessFactorSpan.textContent = '–'; spineRangeSpan.textContent = '–'; if (chart) { chart.destroy(); chart = null; chartContext = null; } // Re-initialize chart with empty data or defaults if needed updateChart([]); } function copyResults() { var resultsText = "Arrow Spine Weight Calculation Results:\n\n"; resultsText += "Recommended Spine: " + primaryResultDiv.textContent + "\n"; resultsText += "Estimated Dynamic Spine: " + dynamicSpineSpan.textContent + " lbs/in\n"; resultsText += "Arrow Stiffness Factor: " + stiffnessFactorSpan.textContent + "\n"; resultsText += "Arrow Spine Range: " + spineRangeSpan.textContent + "\n\n"; resultsText += "Key Assumptions:\n"; resultsText += "- Bow Draw Weight: " + bowWeightInput.value + " lbs\n"; resultsText += "- Draw Length: " + drawLengthInput.value + " in\n"; resultsText += "- Arrow Length: " + arrowLengthInput.value + " in\n"; resultsText += "- Arrow Point Weight: " + arrowPointWeightInput.value + " gr\n"; resultsText += "- Arrow Offset: " + arrowOffsetInput.options[arrowOffsetInput.selectedIndex].text + "\n"; var textArea = document.createElement("textarea"); textArea.value = resultsText; document.body.appendChild(textArea); textArea.select(); try { document.execCommand("copy"); alert("Results copied to clipboard!"); } catch (err) { console.error("Failed to copy results: ", err); alert("Failed to copy results. Please copy manually."); } document.body.removeChild(textArea); } function toggleFaq(element) { var faqItem = element.parentElement; faqItem.classList.toggle('visible'); } // Initial calculation on load document.addEventListener('DOMContentLoaded', function() { calculateSpine(); // Initialize chart context var canvas = document.getElementById('spineChart'); if (canvas) { chartContext = canvas.getContext('2d'); } }); // Add event listeners for real-time updates bowWeightInput.addEventListener('input', calculateSpine); drawLengthInput.addEventListener('input', calculateSpine); arrowLengthInput.addEventListener('input', calculateSpine); arrowPointWeightInput.addEventListener('input', calculateSpine); arrowOffsetInput.addEventListener('change', calculateSpine); // Include Chart.js library – IMPORTANT: In a real scenario, you'd link this externally. // For a single file, we embed it. This is a placeholder for the actual library. // In a production environment, you would include the Chart.js library script tag here. // For this example, we assume Chart.js is available globally. // If running this code, ensure Chart.js is loaded before this script. // Example: // Since we cannot include external scripts, this code relies on Chart.js being present. // If Chart.js is not available, the chart will not render. <!– –>

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