Spring Force Calculator | Professional Spring Design Tool<\/title>\n <style>\n \/* \u6dfb\u52a0\u547d\u540d\u7a7a\u95f4\u524d\u7f00\uff0c\u907f\u514d\u6837\u5f0f\u51b2\u7a81 *\/\n .spring-calculator-wrapper {\n --primary-color: #2196F3;\n --text-color: #333;\n --border-color: #ddd;\n --result-bg: #f5f5f5;\n position: relative;\n z-index: 1; \/* \u786e\u4fdd\u4e0d\u4f1a\u8986\u76d6sticky header *\/\n max-width: 1200px;\n margin: 0 auto;\n padding: 20px;\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Oxygen-Sans, Ubuntu, Cantarell, \"Helvetica Neue\", sans-serif;\n line-height: 1.6;\n color: var(--text-color);\n }\n\n .spring-calculator-wrapper * {\n box-sizing: border-box;\n margin: 0;\n padding: 0;\n }\n\n .spring-calculator-wrapper .calculator-container {\n display: grid;\n grid-template-columns: 1fr;\n gap: 30px;\n margin-top: 20px;\n }\n\n .spring-calculator-wrapper .section {\n background: white;\n padding: 20px;\n border-radius: 8px;\n box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n }\n\n .spring-calculator-wrapper h2 {\n color: var(--text-color);\n margin-bottom: 15px;\n font-size: 1.5rem;\n }\n\n .spring-calculator-wrapper .calculator-inputs {\n display: grid;\n grid-template-columns: 1fr;\n gap: 15px;\n }\n\n @media (min-width: 600px) {\n .spring-calculator-wrapper .calculator-inputs {\n grid-template-columns: 1fr 1fr;\n }\n }\n\n .spring-calculator-wrapper .parameter-list {\n list-style: none;\n display: grid;\n grid-template-columns: 1fr;\n gap: 15px;\n }\n\n @media (min-width: 768px) {\n .spring-calculator-wrapper .parameter-list {\n grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n }\n }\n\n .spring-calculator-wrapper .parameter-list li {\n margin-bottom: 0;\n font-size: 0.9rem;\n }\n\n .spring-calculator-wrapper .input-group {\n margin-bottom: 15px;\n }\n\n .spring-calculator-wrapper label {\n display: block;\n margin-bottom: 5px;\n font-weight: 500;\n }\n\n .spring-calculator-wrapper input,\n .spring-calculator-wrapper select {\n width: 100%;\n padding: 8px;\n border: 1px solid var(--border-color);\n border-radius: 4px;\n font-size: 1rem;\n }\n\n .spring-calculator-wrapper .unit {\n color: #666;\n font-size: 0.9rem;\n margin-left: 5px;\n }\n\n .spring-calculator-wrapper button {\n background: var(--primary-color);\n color: white;\n border: none;\n padding: 12px 24px;\n border-radius: 4px;\n cursor: pointer;\n font-size: 1rem;\n width: 25%;\n transition: background 0.3s;\n margin: 0 auto;\n display: block;\n }\n\n .spring-calculator-wrapper button:hover {\n background: #1976D2;\n color: white;\n }\n\n .spring-calculator-wrapper .results {\n display: none;\n margin-top: 20px;\n padding: 20px;\n background: var(--result-bg);\n border-radius: 4px;\n }\n\n .spring-calculator-wrapper .result-item {\n margin-bottom: 10px;\n font-size: 1.1rem;\n }\n\n .spring-calculator-wrapper .result-value {\n font-weight: bold;\n color: var(--primary-color);\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"spring-calculator-wrapper\">\n <div class=\"calculator-container\">\n <div class=\"section\">\n <h2>Par\u00e2metros<\/h2>\n <ul class=\"parameter-list\">\n <li><strong>Minimum Working Load (P\u2081):<\/strong> The minimum force applied to the spring in Newtons.<\/li>\n <li><strong>Maximum Working Load (Pn):<\/strong> The maximum force applied to the spring in Newtons.<\/li>\n <li><strong>Working Stroke (h):<\/strong> The distance the spring travels between the minimum and maximum working load in millimeters.<\/li>\n <li><strong>Di\u00e2metro do fio (d):<\/strong> O di\u00e2metro do fio da mola em mil\u00edmetros.<\/li>\n <li><strong>Di\u00e2metro m\u00e9dio da bobina (D):<\/strong> Di\u00e2metro m\u00e9dio das espiras da mola em mil\u00edmetros.<\/li>\n <li><strong>Spring Type (Life):<\/strong> Classification of the spring based on its intended lifespan.<\/li>\n <li><strong>Spring Structure:<\/strong> The physical configuration or design of the spring.<\/li>\n <li><strong>Spring Material:<\/strong> The material used to manufacture the spring.<\/li>\n <li><strong>M\u00f3dulo de cisalhamento (G):<\/strong> The material\\’s resistance to shear deformation in MPa.<\/li>\n <li><strong>Elastic Modulus (E):<\/strong> The material\\’s resistance to elastic deformation in MPa.<\/li>\n <li><strong>Tensile Strength Limit (\u03c3b):<\/strong> The maximum stress a material can withstand before breaking in MPa.<\/li>\n <li><strong>\u00cdndice de Primavera (C):<\/strong> The ratio of the mean coil diameter to the wire diameter (D\/d).<\/li>\n <li><strong>Fator de Wahl (K):<\/strong> A correction factor used in spring stress calculations, dependent on the spring index.<\/li>\n <li><strong>Yield Limit (Ts):<\/strong> The maximum stress a material can withstand before permanent deformation occurs in MPa.<\/li>\n <\/ul>\n <\/div>\n\n <div class=\"section\">\n <h2>Calculadora<\/h2>\n <form id=\"springForm\" action=\"\">\n <div class=\"calculator-inputs\">\n <div class=\"input-group\">\n <label for=\"minLoad\">Minimum Working Load (P\u2081) <span class=\"unit\">N<\/span><\/label>\n <input type=\"number\" id=\"minLoad\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"maxLoad\">Maximum Working Load (Pn) <span class=\"unit\">N<\/span><\/label>\n <input type=\"number\" id=\"maxLoad\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"workingStroke\">Working Stroke (h) <span class=\"unit\">mil\u00edmetros<\/span><\/label>\n <input type=\"number\" id=\"workingStroke\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"wireDiameter\">Di\u00e2metro do fio (d) <span class=\"unit\">mil\u00edmetros<\/span><\/label>\n <input type=\"number\" id=\"wireDiameter\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"meanDiameter\">Di\u00e2metro m\u00e9dio da bobina (D) <span class=\"unit\">mil\u00edmetros<\/span><\/label>\n <input type=\"number\" id=\"meanDiameter\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springType\">Spring Type (Life)<\/label>\n <input type=\"text\" id=\"springType\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springStructure\">Spring Structure<\/label>\n <input type=\"text\" id=\"springStructure\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springMaterial\">Spring Material<\/label>\n <input type=\"text\" id=\"springMaterial\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"activeCoils\">N\u00famero de bobinas ativas (n)<\/label>\n <input type=\"number\" id=\"activeCoils\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"shearModulus\">M\u00f3dulo de cisalhamento (G) <span class=\"unit\">MPa<\/span><\/label>\n <input type=\"number\" id=\"shearModulus\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"elasticModulus\">Elastic Modulus (E) <span class=\"unit\">MPa<\/span><\/label>\n <input type=\"number\" id=\"elasticModulus\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"tensileStrength\">Tensile Strength Limit (\u03c3b) <span class=\"unit\">MPa<\/span><\/label>\n <input type=\"number\" id=\"tensileStrength\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"yieldLimit\">Yield Limit (Ts) <span class=\"unit\">MPa<\/span><\/label>\n <input type=\"number\" id=\"yieldLimit\" required>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"springIndex\">\u00cdndice de Primavera (C)<\/label>\n <input type=\"number\" id=\"springIndex\" step=\"0.1\">\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"wahlFactor\">Wahl Factor (K)<\/label>\n <input type=\"number\" id=\"wahlFactor\" step=\"0.001\">\n <\/div>\n <\/div>\n\n\n <button type=\"submit\">Calcular<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"pt\"\/><\/form>\n <\/div>\n\n <div class=\"section\">\n <div id=\"results\" class=\"results\">\n <h2>Resultados<\/h2>\n <div class=\"result-item\">\n Spring Rate (P\\’): <span id=\"springRate\" class=\"result-value\">0<\/span> N\/mm\n <\/div>\n <div class=\"result-item\">\n Allowable Stress (\u03c4p): <span id=\"allowableStress\" class=\"result-value\">0<\/span> MPa\n <\/div>\n <div class=\"result-item\">\n \u00cdndice de Primavera (C): <span id=\"springIndexResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Fator de Wahl (K): <span id=\"wahlFactorResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Deflection at Minimum Load (F\u2081): <span id=\"deflectionMin\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Deflection at Maximum Load (Fn): <span id=\"deflectionMax\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Deflection at Solid Height (Fb): <span id=\"deflectionSolid\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Load at Solid Height (Pb): <span id=\"loadSolid\" class=\"result-value\">0<\/span> N\n <\/div>\n <div class=\"result-item\">\n N\u00famero de bobinas ativas (n): <span id=\"activeCoilsResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Total Coils (n\u2081): <span id=\"totalCoils\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Solid Height (Hb): <span id=\"solidHeight\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Free Height (H\u2080): <span id=\"freeHeight\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Passo (t): <span id=\"pitch\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Helix Angle (\u03b1): <span id=\"helixAngle\" class=\"result-value\">0<\/span> graus\n <\/div>\n <div class=\"result-item\">\n Developed Length (L): <span id=\"developedLength\" class=\"result-value\">0<\/span> mil\u00edmetros\n <\/div>\n <div class=\"result-item\">\n Height-to-Diameter Ratio (b): <span id=\"heightDiameterRatio\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Maximum Shear Stress (\u03c4max): <span id=\"maxShearStress\" class=\"result-value\">0<\/span> MPa\n <\/div>\n <div class=\"result-item\">\n Fatigue Safety Factor (S): <span id=\"fatigueSafetyFactor\" class=\"result-value\">0<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <script>\n document.getElementById('springForm').addEventListener('submit', function(e) {\n e.preventDefault();\n\n \/\/ Get input values\n const P1 = parseFloat(document.getElementById('minLoad').value);\n const Pn = parseFloat(document.getElementById('maxLoad').value);\n const h = parseFloat(document.getElementById('workingStroke').value);\n const d = parseFloat(document.getElementById('wireDiameter').value);\n const D = parseFloat(document.getElementById('meanDiameter').value);\n const n_input = parseFloat(document.getElementById('activeCoils').value); \/\/ Renamed to avoid conflict with calculated 'n'\n const G = parseFloat(document.getElementById('shearModulus').value);\n const E = parseFloat(document.getElementById('elasticModulus').value);\n const sb = parseFloat(document.getElementById('tensileStrength').value);\n const Ts = parseFloat(document.getElementById('yieldLimit').value);\n const C_input = parseFloat(document.getElementById('springIndex').value); \/\/ Get input C\n const K_input = parseFloat(document.getElementById('wahlFactor').value); \/\/ Get input K\n\n \/\/ Calculations based on provided formulas\n\n \/\/ Spring Rate (P')\n const P_prime = (Pn - P1) \/ h;\n\n \/\/ Allowable Stress (\u03c4p)\n const tau_p = 0.5 * sb; \/\/ Using \u03c3b as tensileStrength\n\n \/\/ Spring Index (C) - Use input if provided, otherwise calculate\n const C = isNaN(C_input) ? (D \/ d) : C_input;\n\n \/\/ Wahl Factor (K) - Use input if provided, otherwise calculate\n const K = isNaN(K_input) ? ((4 * C - 1) \/ (4 * C - 4) + 0.615 \/ C) : K_input;\n\n \/\/ Deflection at Minimum Load (F\u2081)\n const F1 = P1 \/ P_prime;\n\n \/\/ Deflection at Maximum Load (Fn)\n const Fn = Pn \/ P_prime;\n\n \/\/ Deflection at Solid Height (Fb)\n const Fb = Fn \/ 0.65; \/\/ Formula from image\n\n \/\/ Load at Solid Height (Pb)\n const Pb = Pn \/ 0.65; \/\/ Formula from image\n\n \/\/ Number of Active Coils (n) - calculated from spring rate formula or use input\n \/\/ Using the calculated n based on standard formula unless n_input is provided\n const n_calculated_from_rate = (G * Math.pow(d, 4)) \/ (8 * Math.pow(D, 3) * P_prime);\n const n = isNaN(n_input) ? n_calculated_from_rate : n_input;\n\n\n \/\/ Total Coils (n\u2081) - assuming squared and ground ends (+2)\n const n1 = n + 2;\n\n \/\/ Solid Height (Hb) - assuming squared and ground ends (+1.5d)\n \/\/ The formula from image uses n1+1.5d - assuming this implies (n1)*d + 1.5d for total coils n1.\n \/\/ Standard solid height for squared and ground ends is n1 * d.\n \/\/ Let's use the formula provided in the image: Hb = (n1 + 1.5) * d; Assuming this means n1 * d + 1.5d? No, the image says n1+1.5d, looks like (n1+1.5)*d\n const Hb = (n1 + 1.5) * d; \/\/ Using the formula from image\n\n \/\/ Free Height (H\u2080)\n const H0 = Hb + Fb;\n\n \/\/ Pitch (t) - assuming squared and ground ends\n \/\/ The formula from the image is t = (H\u2080 - 1.5d) \/ n. This seems incorrect for squared and ground ends (where Solid Height = n1*d and Pitch = (Free Height - Solid Height) \/ n ).\n \/\/ Let's use the formula provided in the image: t = (H0 - 1.5 * d) \/ n\n let t = 0;\n if (n !== 0) {\n t = (H0 - 1.5 * d) \/ n; \/\/ Using the formula from image\n }\n\n\n \/\/ Helix Angle (\u03b1) in degrees\n \/\/ Ensure t and pi*D are not zero to avoid division by zero or invalid log\n let alpha_rad = 0;\n if ((Math.PI * D) !== 0) {\n alpha_rad = Math.atan(t \/ (Math.PI * D));\n }\n const alpha_deg = alpha_rad * (180 \/ Math.PI);\n\n \/\/ Developed Length (L)\n \/\/ Ensure cos(alpha_rad) is not zero\n let L = 0;\n if (Math.cos(alpha_rad) !== 0) {\n L = Math.PI * D * n1 \/ Math.cos(alpha_rad);\n }\n\n \/\/ Height-to-Diameter Ratio (b)\n \/\/ Ensure D is not zero\n let b = 0;\n if (D !== 0) {\n b = H0 \/ D;\n }\n\n \/\/ Maximum Shear Stress (\u03c4max)\n \/\/ Ensure d is not zero\n let tau_max = 0;\n if (d !== 0) {\n tau_max = (8 * K * D * Pn) \/ (Math.PI * Math.pow(d, 3));\n }\n\n \/\/ Fatigue Safety Factor (S)\n \/\/ Ensure tau_max is not zero\n let S = 0;\n if (tau_max !== 0) {\n S = tau_p \/ tau_max;\n }\n\n \/\/ Display results\n document.getElementById('springRate').textContent = isNaN(P_prime) ? 'N\/A' : P_prime.toFixed(2);\n document.getElementById('allowableStress').textContent = isNaN(tau_p) ? 'N\/A' : tau_p.toFixed(2);\n document.getElementById('springIndexResult').textContent = isNaN(C) ? 'N\/A' : C.toFixed(2);\n document.getElementById('wahlFactorResult').textContent = isNaN(K) ? 'N\/A' : K.toFixed(3);\n document.getElementById('deflectionMin').textContent = isNaN(F1) ? 'N\/A' : F1.toFixed(2);\n document.getElementById('deflectionMax').textContent = isNaN(Fn) ? 'N\/A' : Fn.toFixed(2);\n document.getElementById('deflectionSolid').textContent = isNaN(Fb) ? 'N\/A' : Fb.toFixed(2);\n document.getElementById('loadSolid').textContent = isNaN(Pb) ? 'N\/A' : Pb.toFixed(2);\n document.getElementById('activeCoilsResult').textContent = isNaN(n) ? 'N\/A' : n.toFixed(2);\n document.getElementById('totalCoils').textContent = isNaN(n1) ? 'N\/A' : n1.toFixed(2);\n document.getElementById('solidHeight').textContent = isNaN(Hb) ? 'N\/A' : Hb.toFixed(2);\n document.getElementById('freeHeight').textContent = isNaN(H0) ? 'N\/A' : H0.toFixed(2);\n document.getElementById('pitch').textContent = isNaN(t) ? 'N\/A' : t.toFixed(2);\n document.getElementById('helixAngle').textContent = isNaN(alpha_deg) ? 'N\/A' : alpha_deg.toFixed(2);\n document.getElementById('developedLength').textContent = isNaN(L) ? 'N\/A' : L.toFixed(2);\n document.getElementById('heightDiameterRatio').textContent = isNaN(b) ? 'N\/A' : b.toFixed(2);\n document.getElementById('maxShearStress').textContent = isNaN(tau_max) ? 'N\/A' : tau_max.toFixed(2);\n document.getElementById('fatigueSafetyFactor').textContent = isNaN(S) ? 'N\/A' : S.toFixed(2);\n\n \/\/ Show results section\n document.getElementById('results').style.display = 'block';\n });\n <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Discover the power and precision of our Spring Calculator, designed to help engineers and designers create optimal spring solutions. 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Discover the power and precision of our Spring Calculator, designed to help engineers and designers create optimal spring solutions. Whether you’re calculating compression, tension, or torsion springs, our intuitive tool provides accurate and reliable results. Enhance your design process with this user-friendly calculator that supports various industry applications. By simplifying complex calculations, it saves you time while ensuring optimal spring performance. Experience the efficiency and convenience of our Spring Calculator today and take your projects to the next level.<\/p>\n\n\n