Calculadora de fuerza de resorte | Herramienta profesional de dise\u00f1o de resortes<\/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\u00e1metros<\/h2>\n <ul class=\"parameter-list\">\n <li><strong>Carga m\u00ednima de trabajo (P\u2081):<\/strong> La fuerza m\u00ednima aplicada al resorte en Newtons.<\/li>\n <li><strong>Carga m\u00e1xima de trabajo (Pn):<\/strong> La fuerza m\u00e1xima aplicada al resorte en Newtons.<\/li>\n <li><strong>Carrera de trabajo (h):<\/strong> La distancia que recorre el resorte entre la carga de trabajo m\u00ednima y m\u00e1xima en mil\u00edmetros.<\/li>\n <li><strong>Di\u00e1metro del alambre (d):<\/strong> El di\u00e1metro del alambre de resorte en mil\u00edmetros.<\/li>\n <li><strong>Di\u00e1metro medio de la bobina (D):<\/strong> El di\u00e1metro medio de las espiras del resorte en mil\u00edmetros.<\/li>\n <li><strong>Tipo de resorte (vida):<\/strong> Clasificaci\u00f3n del resorte en funci\u00f3n de su vida \u00fatil prevista.<\/li>\n <li><strong>Estructura del resorte:<\/strong> La configuraci\u00f3n f\u00edsica o dise\u00f1o del resorte.<\/li>\n <li><strong>Material del resorte:<\/strong> El material utilizado para fabricar el resorte.<\/li>\n <li><strong>M\u00f3dulo de corte (G):<\/strong> Resistencia del material a la deformaci\u00f3n por cizallamiento en MPa.<\/li>\n <li><strong>M\u00f3dulo el\u00e1stico (E):<\/strong> Resistencia del material a la deformaci\u00f3n el\u00e1stica en MPa.<\/li>\n <li><strong>L\u00edmite de resistencia a la tracci\u00f3n (\u03c3b):<\/strong> La tensi\u00f3n m\u00e1xima que puede soportar un material antes de romperse en MPa.<\/li>\n <li><strong>\u00cdndice de primavera (C):<\/strong> La relaci\u00f3n entre el di\u00e1metro medio de la bobina y el di\u00e1metro del alambre (D\/d).<\/li>\n <li><strong>Factor Wahl (K):<\/strong> Un factor de correcci\u00f3n utilizado en los c\u00e1lculos de tensi\u00f3n del resorte, que depende del \u00edndice del resorte.<\/li>\n <li><strong>L\u00edmite de rendimiento (Ts):<\/strong> La tensi\u00f3n m\u00e1xima que puede soportar un material antes de que se produzca una deformaci\u00f3n permanente en 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\">Carga m\u00ednima de trabajo (P\u2081) <span class=\"unit\">norte<\/span><\/label>\n <input type=\"number\" id=\"minLoad\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"maxLoad\">Carga m\u00e1xima de trabajo (Pn) <span class=\"unit\">norte<\/span><\/label>\n <input type=\"number\" id=\"maxLoad\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"workingStroke\">Carrera de trabajo (h) <span class=\"unit\">mm<\/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\u00e1metro del alambre (d) <span class=\"unit\">mm<\/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\u00e1metro medio de la bobina (D) <span class=\"unit\">mm<\/span><\/label>\n <input type=\"number\" id=\"meanDiameter\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springType\">Tipo de resorte (vida)<\/label>\n <input type=\"text\" id=\"springType\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springStructure\">Estructura de resorte<\/label>\n <input type=\"text\" id=\"springStructure\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springMaterial\">Material de resorte<\/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 activas (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 corte (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\">M\u00f3dulo el\u00e1stico (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\">L\u00edmite de resistencia a la tracci\u00f3n (\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\">L\u00edmite de rendimiento (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\">Factor Wahl (K)<\/label>\n <input type=\"number\" id=\"wahlFactor\" step=\"0.001\">\n <\/div>\n <\/div>\n\n\n <button type=\"submit\">Calcule<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"es\"\/><\/form>\n <\/div>\n\n <div class=\"section\">\n <div id=\"results\" class=\"results\">\n <h2>Resultados<\/h2>\n <div class=\"result-item\">\n Tasa de resorte (P\\'): <span id=\"springRate\" class=\"result-value\">0<\/span> N\/mm\n <\/div>\n <div class=\"result-item\">\n Esfuerzo admisible (\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 Factor Wahl (K): <span id=\"wahlFactorResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Deflexi\u00f3n con carga m\u00ednima (F\u2081): <span id=\"deflectionMin\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n Deflexi\u00f3n bajo carga m\u00e1xima (Fn): <span id=\"deflectionMax\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n Deflexi\u00f3n a la altura del s\u00f3lido (Fb): <span id=\"deflectionSolid\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n Carga a la altura del s\u00f3lido (Pb): <span id=\"loadSolid\" class=\"result-value\">0<\/span> norte\n <\/div>\n <div class=\"result-item\">\n N\u00famero de bobinas activas (n): <span id=\"activeCoilsResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Bobinas totales (n\u2081): <span id=\"totalCoils\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Altura del s\u00f3lido (Hb): <span id=\"solidHeight\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n Altura libre (H\u2080): <span id=\"freeHeight\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n Paso (t): <span id=\"pitch\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n \u00c1ngulo de h\u00e9lice (\u03b1): <span id=\"helixAngle\" class=\"result-value\">0<\/span> grados\n <\/div>\n <div class=\"result-item\">\n Longitud desarrollada (L): <span id=\"developedLength\" class=\"result-value\">0<\/span> mm\n <\/div>\n <div class=\"result-item\">\n Relaci\u00f3n altura-di\u00e1metro (b): <span id=\"heightDiameterRatio\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n Esfuerzo cortante m\u00e1ximo (\u03c4max): <span id=\"maxShearStress\" class=\"result-value\">0<\/span> MPa\n <\/div>\n <div class=\"result-item\">\n Factor de seguridad por fatiga (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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Descubra la potencia y precisi\u00f3n de nuestra Calculadora de Resortes, dise\u00f1ada para ayudar a ingenieros y dise\u00f1adores a crear soluciones \u00f3ptimas. Ya sea que calcule resortes de compresi\u00f3n, tensi\u00f3n o torsi\u00f3n, nuestra intuitiva herramienta le proporciona resultados precisos y confiables. Optimice su proceso de dise\u00f1o con esta calculadora intuitiva, compatible con diversas aplicaciones industriales. Al simplificar c\u00e1lculos complejos, le ahorra tiempo y garantiza un rendimiento \u00f3ptimo de sus resortes. Experimente hoy mismo la eficiencia y la comodidad de nuestra Calculadora de Resortes y lleve sus proyectos al siguiente nivel.<\/p>\n\n\n