\u062d\u0627\u0633\u0628\u0629 \u0642\u0648\u0629 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 | \u0623\u062f\u0627\u0629 \u062a\u0635\u0645\u064a\u0645 \u0632\u0646\u0628\u0631\u0643 \u0627\u062d\u062a\u0631\u0627\u0641\u064a\u0629<\/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>\u062d\u062f\u0648\u062f<\/h2>\n <ul class=\"parameter-list\">\n <li><strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062d\u0645\u0644 \u0627\u0644\u0639\u0627\u0645\u0644 (P\u2081):<\/strong> \u0623\u0642\u0644 \u0642\u0648\u0629 \u0645\u0637\u0628\u0642\u0629 \u0639\u0644\u0649 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 \u0628\u0648\u062d\u062f\u0629 \u0646\u064a\u0648\u062a\u0646.<\/li>\n <li><strong>\u0623\u0642\u0635\u0649 \u062d\u0645\u0644 \u0639\u0645\u0644 (Pn):<\/strong> \u0623\u0642\u0635\u0649 \u0642\u0648\u0629 \u0645\u0637\u0628\u0642\u0629 \u0639\u0644\u0649 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 \u0628\u0627\u0644\u0646\u064a\u0648\u062a\u0646.<\/li>\n <li><strong>\u0636\u0631\u0628\u0629 \u0627\u0644\u0639\u0645\u0644 (\u0633\u0627\u0639\u0629):<\/strong> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u062a\u064a \u064a\u0642\u0637\u0639\u0647\u0627 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 \u0628\u064a\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u062d\u0645\u0644 \u0627\u0644\u0639\u0627\u0645\u0644 \u0628\u0627\u0644\u0645\u0644\u0644\u064a\u0645\u062a\u0631.<\/li>\n <li><strong>\u0642\u0637\u0631 \u0627\u0644\u0633\u0644\u0643 (\u062f):<\/strong> \u0642\u0637\u0631 \u0627\u0644\u0633\u0644\u0643 \u0627\u0644\u0632\u0646\u0628\u0631\u0643\u064a \u0628\u0627\u0644\u0645\u0644\u0644\u064a\u0645\u062a\u0631.<\/li>\n <li><strong>\u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0641 (\u062f):<\/strong> \u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0645\u0644\u0641\u0627\u062a \u0627\u0644\u0632\u0646\u0628\u0631\u0643 \u0628\u0627\u0644\u0645\u0644\u0644\u064a\u0645\u062a\u0631.<\/li>\n <li><strong>\u0646\u0648\u0639 \u0627\u0644\u0631\u0628\u064a\u0639 (\u0627\u0644\u062d\u064a\u0627\u0629):<\/strong> \u062a\u0635\u0646\u064a\u0641 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0639\u0645\u0631\u0647 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a.<\/li>\n <li><strong>\u0647\u064a\u0643\u0644 \u0627\u0644\u0631\u0628\u064a\u0639:<\/strong> \u0627\u0644\u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u0645\u0627\u062f\u064a \u0623\u0648 \u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u0631\u0628\u064a\u0639.<\/li>\n <li><strong>\u0645\u0627\u062f\u0629 \u0627\u0644\u0631\u0628\u064a\u0639:<\/strong> \u0627\u0644\u0645\u0627\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0641\u064a \u062a\u0635\u0646\u064a\u0639 \u0627\u0644\u0632\u0646\u0628\u0631\u0643.<\/li>\n <li><strong>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0642\u0635 (G):<\/strong> \u0645\u0642\u0627\u0648\u0645\u0629 \u0627\u0644\u0645\u0627\u062f\u0629 \u0644\u0644\u062a\u0634\u0648\u0647 \u0627\u0644\u0642\u0635\u064a \u0628\u0627\u0644\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644.<\/li>\n <li><strong>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 (E):<\/strong> \u0645\u0642\u0627\u0648\u0645\u0629 \u0627\u0644\u0645\u0627\u062f\u0629 \u0644\u0644\u062a\u0634\u0648\u0647 \u0627\u0644\u0645\u0631\u0646 \u0628\u0648\u062d\u062f\u0629 \u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644.<\/li>\n <li><strong>\u062d\u062f \u0642\u0648\u0629 \u0627\u0644\u0634\u062f (\u03c3b):<\/strong> \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u0625\u062c\u0647\u0627\u062f \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u062d\u0645\u0644\u0647 \u0627\u0644\u0645\u0627\u062f\u0629 \u0642\u0628\u0644 \u0627\u0644\u0627\u0646\u0643\u0633\u0627\u0631 \u0628\u0648\u062d\u062f\u0629 \u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644.<\/li>\n <li><strong>\u0645\u0624\u0634\u0631 \u0627\u0644\u0631\u0628\u064a\u0639 (\u062c):<\/strong> \u0646\u0633\u0628\u0629 \u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0641 \u0625\u0644\u0649 \u0642\u0637\u0631 \u0627\u0644\u0633\u0644\u0643 (D\/d).<\/li>\n <li><strong>\u0639\u0627\u0645\u0644 \u0648\u0627\u0644 (\u0643):<\/strong> \u0639\u0627\u0645\u0644 \u062a\u0635\u062d\u064a\u062d \u064a\u0633\u062a\u062e\u062f\u0645 \u0641\u064a \u062d\u0633\u0627\u0628\u0627\u062a \u0625\u062c\u0647\u0627\u062f \u0627\u0644\u0632\u0646\u0628\u0631\u0643\u060c \u0648\u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u0624\u0634\u0631 \u0627\u0644\u0632\u0646\u0628\u0631\u0643.<\/li>\n <li><strong>\u062d\u062f \u0627\u0644\u0639\u0627\u0626\u062f (Ts):<\/strong> \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u0625\u062c\u0647\u0627\u062f \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u062d\u0645\u0644\u0647 \u0627\u0644\u0645\u0627\u062f\u0629 \u0642\u0628\u0644 \u062d\u062f\u0648\u062b \u0627\u0644\u062a\u0634\u0648\u0647 \u0627\u0644\u062f\u0627\u0626\u0645 \u0628\u0648\u062d\u062f\u0629 \u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644.<\/li>\n <\/ul>\n <\/div>\n\n <div class=\"section\">\n <h2>\u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629<\/h2>\n <form id=\"springForm\" action=\"\">\n <div class=\"calculator-inputs\">\n <div class=\"input-group\">\n <label for=\"minLoad\">\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062d\u0645\u0644 \u0627\u0644\u0639\u0627\u0645\u0644 (P\u2081) <span class=\"unit\">\u0646<\/span><\/label>\n <input type=\"number\" id=\"minLoad\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"maxLoad\">\u0623\u0642\u0635\u0649 \u062d\u0645\u0644 \u0639\u0645\u0644 (Pn) <span class=\"unit\">\u0646<\/span><\/label>\n <input type=\"number\" id=\"maxLoad\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"workingStroke\">\u0636\u0631\u0628\u0629 \u0627\u0644\u0639\u0645\u0644 (\u0633\u0627\u0639\u0629) <span class=\"unit\">\u0645\u0645<\/span><\/label>\n <input type=\"number\" id=\"workingStroke\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"wireDiameter\">\u0642\u0637\u0631 \u0627\u0644\u0633\u0644\u0643 (\u062f) <span class=\"unit\">\u0645\u0645<\/span><\/label>\n <input type=\"number\" id=\"wireDiameter\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"meanDiameter\">\u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0641 (\u062f) <span class=\"unit\">\u0645\u0645<\/span><\/label>\n <input type=\"number\" id=\"meanDiameter\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springType\">\u0646\u0648\u0639 \u0627\u0644\u0631\u0628\u064a\u0639 (\u0627\u0644\u062d\u064a\u0627\u0629)<\/label>\n <input type=\"text\" id=\"springType\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springStructure\">\u0647\u064a\u0643\u0644 \u0627\u0644\u0631\u0628\u064a\u0639<\/label>\n <input type=\"text\" id=\"springStructure\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"springMaterial\">\u0645\u0627\u062f\u0629 \u0627\u0644\u0631\u0628\u064a\u0639<\/label>\n <input type=\"text\" id=\"springMaterial\">\n \n \n <\/div>\n\n <div class=\"input-group\">\n <label for=\"activeCoils\">\u0639\u062f\u062f \u0627\u0644\u0645\u0644\u0641\u0627\u062a \u0627\u0644\u0646\u0634\u0637\u0629 (\u0646)<\/label>\n <input type=\"number\" id=\"activeCoils\" step=\"0.1\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"shearModulus\">\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0642\u0635 (G) <span class=\"unit\">\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644<\/span><\/label>\n <input type=\"number\" id=\"shearModulus\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"elasticModulus\">\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 (E) <span class=\"unit\">\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644<\/span><\/label>\n <input type=\"number\" id=\"elasticModulus\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"tensileStrength\">\u062d\u062f \u0642\u0648\u0629 \u0627\u0644\u0634\u062f (\u03c3b) <span class=\"unit\">\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644<\/span><\/label>\n <input type=\"number\" id=\"tensileStrength\" required>\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"yieldLimit\">\u062d\u062f \u0627\u0644\u0639\u0627\u0626\u062f (Ts) <span class=\"unit\">\u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644<\/span><\/label>\n <input type=\"number\" id=\"yieldLimit\" required>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"springIndex\">\u0645\u0624\u0634\u0631 \u0627\u0644\u0631\u0628\u064a\u0639 (\u062c)<\/label>\n <input type=\"number\" id=\"springIndex\" step=\"0.1\">\n <\/div>\n\n <div class=\"input-group\">\n <label for=\"wahlFactor\">\u0639\u0627\u0645\u0644 \u0648\u0627\u0644 (\u0643)<\/label>\n <input type=\"number\" id=\"wahlFactor\" step=\"0.001\">\n <\/div>\n <\/div>\n\n\n <button type=\"submit\">\u0627\u062d\u0633\u0628<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n <\/div>\n\n <div class=\"section\">\n <div id=\"results\" class=\"results\">\n <h2>\u0627\u0644\u0646\u062a\u0627\u0626\u062c<\/h2>\n <div class=\"result-item\">\n \u0645\u0639\u062f\u0644 \u0627\u0644\u0631\u0628\u064a\u0639 (P\\'): <span id=\"springRate\" class=\"result-value\">0<\/span> \u0646\u064a\u0648\u062a\u0646\/\u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u0625\u062c\u0647\u0627\u062f \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647 (\u03c4p): <span id=\"allowableStress\" class=\"result-value\">0<\/span> \u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644\n <\/div>\n <div class=\"result-item\">\n \u0645\u0624\u0634\u0631 \u0627\u0644\u0631\u0628\u064a\u0639 (\u062c): <span id=\"springIndexResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u0639\u0627\u0645\u0644 \u0648\u0627\u0644 (\u0643): <span id=\"wahlFactorResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0639\u0646\u062f \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062d\u0645\u0644 (F\u2081): <span id=\"deflectionMin\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0639\u0646\u062f \u0623\u0642\u0635\u0649 \u062d\u0645\u0644 (Fn): <span id=\"deflectionMax\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0639\u0646\u062f \u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0635\u0644\u0628 (Fb): <span id=\"deflectionSolid\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u062d\u0645\u0644 \u0639\u0646\u062f \u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0635\u0644\u0628 (Pb): <span id=\"loadSolid\" class=\"result-value\">0<\/span> \u0646\n <\/div>\n <div class=\"result-item\">\n \u0639\u062f\u062f \u0627\u0644\u0645\u0644\u0641\u0627\u062a \u0627\u0644\u0646\u0634\u0637\u0629 (\u0646): <span id=\"activeCoilsResult\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u0625\u062c\u0645\u0627\u0644\u064a \u0627\u0644\u0645\u0644\u0641\u0627\u062a (n\u2081): <span id=\"totalCoils\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0635\u0644\u0628\u0629 (Hb): <span id=\"solidHeight\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u062d\u0631 (H\u2080): <span id=\"freeHeight\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u062f\u0631\u062c\u0629 \u0627\u0644\u0635\u0648\u062a (t): <span id=\"pitch\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062d\u0644\u0632\u0648\u0646 (\u03b1): <span id=\"helixAngle\" class=\"result-value\">0<\/span> \u062f\u0631\u062c\u0627\u062a\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0645\u062a\u0637\u0648\u0631 (L): <span id=\"developedLength\" class=\"result-value\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0646\u0633\u0628\u0629 \u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639 \u0625\u0644\u0649 \u0627\u0644\u0642\u0637\u0631 (\u0628): <span id=\"heightDiameterRatio\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u0623\u0642\u0635\u0649 \u0625\u062c\u0647\u0627\u062f \u0642\u0635 (\u03c4max): <span id=\"maxShearStress\" class=\"result-value\">0<\/span> \u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644\n <\/div>\n <div class=\"result-item\">\n \u0639\u0627\u0645\u0644 \u0623\u0645\u0627\u0646 \u0627\u0644\u062a\u0639\u0628 (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. Whether you’re calculating compression, tension, or…<\/p>","protected":false},"author":2,"featured_media":15874,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[3434],"tags":[3676,3675],"class_list":["post-15873","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-spring-calculator","tag-calculations","tag-spring-design","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/Spring-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15873","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/comments?post=15873"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15873\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media\/15874"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media?parent=15873"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/categories?post=15873"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/tags?post=15873"}],"curies":[{"name":"\u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

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