Extension Spring Rate Calculator

Extension Spring Rate Calculator

This calculator helps you determine the spring rate (stiffness) of an extension spring. The spring rate is a measure of how much force is required to stretch the spring by a certain distance.

(Common values: Steel ~200 GPa, Stainless Steel ~193 GPa, Aluminum ~70 GPa)

Results:

.spring-calculator-wrapper { font-family: sans-serif; border: 1px solid #ccc; padding: 20px; border-radius: 8px; max-width: 600px; margin: 20px auto; background-color: #f9f9f9; } .calculator-inputs h2, .calculator-results h3 { text-align: center; color: #333; margin-bottom: 20px; } .input-group { margin-bottom: 15px; } .input-group label { display: block; margin-bottom: 5px; font-weight: bold; color: #555; } .input-group input[type="number"] { width: calc(100% – 12px); padding: 10px; border: 1px solid #ccc; border-radius: 4px; font-size: 16px; } .input-group small { display: block; font-size: 0.8em; color: #777; margin-top: 5px; } .spring-calculator-wrapper button { background-color: #4CAF50; color: white; padding: 12px 20px; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; width: 100%; transition: background-color 0.3s ease; } .spring-calculator-wrapper button:hover { background-color: #45a049; } #result { margin-top: 20px; padding: 15px; background-color: #eef; border: 1px solid #ddd; border-radius: 4px; text-align: center; font-size: 1.1em; color: #333; min-height: 50px; display: flex; align-items: center; justify-content: center; } function calculateSpringRate() { var wireDiameter = parseFloat(document.getElementById("wireDiameter").value); var meanCoilDiameter = parseFloat(document.getElementById("meanCoilDiameter").value); var numberOfActiveCoils = parseFloat(document.getElementById("numberOfActiveCoils").value); var materialModulusGPa = parseFloat(document.getElementById("materialModulus").value); var resultDiv = document.getElementById("result"); resultDiv.innerHTML = ""; // Clear previous results if (isNaN(wireDiameter) || isNaN(meanCoilDiameter) || isNaN(numberOfActiveCoils) || isNaN(materialModulusGPa) || wireDiameter <= 0 || meanCoilDiameter <= 0 || numberOfActiveCoils <= 0 || materialModulusGPa <= 0) { resultDiv.innerHTML = "Please enter valid positive numbers for all fields."; return; } // Convert GPa to N/mm^2 (Pascal is N/m^2, so GPa = 10^9 N/m^2. 1 m^2 = 1000mm * 1000mm = 10^6 mm^2. So GPa = 10^9 / 10^6 N/mm^2 = 1000 N/mm^2) var materialModulusNPerMM2 = materialModulusGPa * 1000; // Spring Rate (k) formula: k = (G * d^4) / (8 * D^3 * N) // Where: // G is the Shear Modulus (often approximated with Young's Modulus for common spring materials, but technically different. For simplicity, we'll use G = E for this calculator as is common practice in introductory contexts) // d is the wire diameter // D is the mean coil diameter // N is the number of active coils var shearModulus = materialModulusNPerMM2; // Approximation: Shear Modulus ≈ Young's Modulus var numerator = shearModulus * Math.pow(wireDiameter, 4); var denominator = 8 * Math.pow(meanCoilDiameter, 3) * numberOfActiveCoils; if (denominator === 0) { resultDiv.innerHTML = "Calculation error: Denominator is zero. Please check input values."; return; } var springRateNPerMM = numerator / denominator; // Convert to N/cm for a more common unit if desired, or keep N/mm var springRateNPerCM = springRateNPerMM * 10; resultDiv.innerHTML = "Spring Rate: " + springRateNPerMM.toFixed(2) + " N/mmor approximately " + springRateNPerCM.toFixed(2) + " N/cm"; }

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