\u062d\u0627\u0633\u0628\u0629 \u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 | \u0627\u062d\u0633\u0628 \u0645\u0639\u062f\u0644 \u0648\u0642\u0648\u0629 \u0627\u0644\u0632\u0646\u0628\u0631\u0643<\/title>\n <meta name=\"description\" content=\"\u062d\u0627\u0633\u0628\u0629 \u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636 \u0645\u062c\u0627\u0646\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a. \u0627\u062d\u0633\u0628 \u0645\u0639\u062f\u0644 \u0627\u0644\u0646\u0627\u0628\u0636 \u0648\u0642\u0648\u062a\u0647 \u0648\u0627\u0646\u062d\u0631\u0627\u0641\u0647. \u062d\u0627\u0633\u0628\u0629 \u0633\u0647\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u060c \u0645\u062a\u0648\u0627\u0641\u0642\u0629 \u0645\u0639 \u0627\u0644\u0647\u0648\u0627\u062a\u0641 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0629\u060c \u0644\u0644\u0645\u0647\u0646\u062f\u0633\u064a\u0646 \u0648\u0627\u0644\u0645\u0635\u0645\u0645\u064a\u0646.\">\n <style>\n \/* Reset and base styles *\/\n * {\n margin: 0;\n padding: 0;\n box-sizing: border-box;\n }\n\n body {\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Oxygen-Sans, Ubuntu, Cantarell, \"Helvetica Neue\", sans-serif;\n line-height: 1.6;\n color: #333;\n \/* Removed max-width, margin, padding to avoid interfering with theme layout *\/\n }\n\n \/* Calculator container *\/\n .calculator-container {\n background: #fff;\n border-radius: 8px;\n box-shadow: 0 2px 10px rgba(0,0,0,0.1);\n padding: 20px;\n margin: 20px 0;\n width: 100%; \/* Ensure container takes full width *\/\n }\n\n \/* Section styles *\/\n .section {\n margin-bottom: 30px;\n }\n\n h2 {\n color: #000;\n margin-bottom: 15px;\n font-size: 1.5em;\n }\n\n \/* Parameter explanation *\/\n .parameters {\n display: grid;\n grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n gap: 15px;\n font-size: 0.9em;\n }\n\n .parameter-item {\n background: #f8f9fa;\n padding: 10px;\n border-radius: 4px;\n }\n\n \/* Diagram section *\/\n .diagram {\n text-align: center;\n margin: 20px 0;\n }\n\n .diagram img {\n max-width: 100%;\n height: auto;\n }\n\n \/* Calculator form *\/\n .calculator-form {\n display: grid;\n grid-template-columns: repeat(2, 1fr);\n gap: 15px;\n margin-bottom: 20px;\n }\n\n .input-group {\n display: flex;\n flex-direction: column;\n }\n\n .input-group label {\n margin-bottom: 5px;\n font-weight: 500;\n }\n\n .input-group input,\n .input-group select {\n padding: 8px;\n border: 1px solid #ddd;\n border-radius: 4px;\n font-size: 1em;\n }\n\n \/* Calculate button *\/\n .calculate-btn {\n background: #007bff;\n color: white;\n border: none;\n padding: 12px 24px;\n border-radius: 4px;\n cursor: pointer;\n font-size: 1.1em;\n transition: background 0.3s;\n grid-column: 1 \/ -1;\n margin-top: 10px;\n width: 25%;\n margin: 10px auto 0 auto;\n }\n\n .calculate-btn:hover {\n background: #0056b3;\n }\n\n \/* Results section *\/\n .results {\n display: none;\n background: #e9ecef;\n padding: 20px;\n border-radius: 4px;\n margin-top: 20px;\n }\n\n .results.show {\n display: block;\n }\n\n .result-item {\n margin: 10px 0;\n font-size: 1.1em;\n }\n\n .result-value {\n font-weight: bold;\n color: #007bff;\n }\n\n \/* Responsive adjustments *\/\n @media (max-width: 768px) {\n .calculator-form {\n grid-template-columns: 1fr;\n }\n\n .parameters {\n grid-template-columns: 1fr;\n }\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"calculator-container\">\n \n <div class=\"section\">\n <h2>\u062d\u062f\u0648\u062f<\/h2>\n <div class=\"parameters\">\n <div class=\"parameter-item\">\n <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.\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0641 (D2):<\/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.\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0639\u062f\u062f \u0627\u0644\u0645\u0644\u0641\u0627\u062a \u0627\u0644\u0646\u0634\u0637\u0629 (\u0646):<\/strong> \u0639\u062f\u062f \u0627\u0644\u0645\u0644\u0641\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0633\u0627\u0647\u0645 \u0641\u064a \u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0632\u0646\u0628\u0631\u0643.\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0642\u0635 (G):<\/strong> \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0642\u0635 \u0644\u0644\u0645\u0627\u062f\u0629 \u0628\u0648\u062d\u062f\u0629 \u0645\u064a\u062c\u0627 \u0628\u0627\u0633\u0643\u0627\u0644 (\u064a\u0633\u062a\u062e\u062f\u0645 \u0639\u0627\u062f\u0629 \u0644\u0645\u0648\u0627\u062f \u0627\u0644\u0632\u0646\u0628\u0631\u0643).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0627\u0644\u0645\u0648\u0627\u062f: 65Mn \u03c4 (\u0643\u062c\u0645 \/ \u0645\u0645\u00b2):<\/strong> \u064a\u0639\u0631\u0636 \u0647\u0630\u0627 \u0627\u0644\u062d\u0642\u0644 \u0646\u0648\u0639 \u0627\u0644\u0645\u0627\u062f\u0629 \u0648\u0648\u062d\u062f\u0629 \u0642\u0648\u0629 \u0627\u0644\u0642\u0635 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0627\u060c \u0648\u0644\u0643\u0646 \u0644\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0641\u064a \u062d\u0633\u0627\u0628 \u0627\u0644\u0635\u0644\u0627\u0628\u0629.\n <\/div>\n <\/div>\n <\/div>\n\n \n <div class=\"section\">\n <h2>\u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629<\/h2>\n <form id=\"calculatorForm\" class=\"calculator-form\" action=\"\">\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=\"0.01\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"meanDiameter\">\u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0641 (D2) <span class=\"unit\">\u0645\u0645<\/span><\/label>\n <input type=\"number\" id=\"meanDiameter\" step=\"0.01\" required>\n <\/div>\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) <span class=\"unit\">–<\/span><\/label>\n <input type=\"number\" id=\"activeCoils\" step=\"0.1\" required>\n <\/div>\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\" step=\"0.1\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"materialType\">\u0627\u0644\u0645\u0648\u0627\u062f: 65Mn \u03c4 <span class=\"unit\">\u0643\u062c\u0645\/\u0645\u00b2<\/span><\/label>\n <input type=\"text\" id=\"materialType\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"allowableShearStress\">\u0625\u062c\u0647\u0627\u062f \u0627\u0644\u0642\u0635 \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647 (\u03c4_allowable) <span class=\"unit\">\u0643\u062c\u0645\/\u0645\u00b2<\/span><\/label>\n <input type=\"number\" id=\"allowableShearStress\" step=\"0.1\" required>\n <\/div>\n <button type=\"submit\" class=\"calculate-btn\">\u0627\u062d\u0633\u0628<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n <\/div>\n\n \n <div id=\"results\" class=\"results\">\n <h2>\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062d\u0633\u0627\u0628<\/h2>\n <div class=\"result-item\">\n \u5f39\u7c27\u521a\u5ea6 (P'): <span id=\"springRate\" class=\"result-value\">0<\/span> \u0646\u064a\u0648\u062a\u0646\/\u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u7ed5\u6bd4 (C=D2\/d): <span id=\"springIndex\" class=\"result-value\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d (P3): <span id=\"allowableLimitLoad\" class=\"result-value\">\u063a\u064a\u0631 \u0645\u062a\u0648\u0641\u0631<\/span> \u0646\n <\/div>\n <div class=\"result-item\">\n \u0645\u062c\u0645\u0648\u0639\u0629 \u0623\u062f\u0648\u0627\u062a \u0627\u0644\u062a\u062d\u0643\u0645 \u0641\u064a \u0627\u0644\u0633\u0631\u0639\u0629 (f3): <span id=\"totalDeformation\" class=\"result-value\">\u063a\u064a\u0631 \u0645\u062a\u0648\u0641\u0631<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u62c9\u3001\u538b\u5f39\u7c27 (\u0643): <span id=\"springType\" class=\"result-value\">\u063a\u064a\u0631 \u0645\u062a\u0648\u0641\u0631<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <script>\n document.getElementById('calculatorForm').addEventListener('submit', function(e) {\n e.preventDefault();\n \n \/\/ Get input values\n const d = parseFloat(document.getElementById('wireDiameter').value);\n const D = parseFloat(document.getElementById('meanDiameter').value);\n const n = parseFloat(document.getElementById('activeCoils').value);\n const G = parseFloat(document.getElementById('shearModulus').value); \/\/ Use MPa directly\n const tau_allowable_kgf = parseFloat(document.getElementById('allowableShearStress').value); \/\/ Get allowable shear stress in kgf\/mm\u00b2\n \n \/\/ Convert allowable shear stress to MPa for consistency if needed in other calcs, though the P3 formula uses it in kgf\/mm\u00b2\n \/\/ const tau_allowable_mpa = tau_allowable_kgf * 9.80665; \/\/ 1 kgf = 9.80665 N, 1 mm\u00b2 = 1 mm\u00b2\n\n \/\/ Calculate spring index\n const C = D \/ d;\n\n \/\/ Check for invalid spring index\n if (C <= 1) {\n document.getElementById('springRate').textContent = \"Invalid Input\";\n document.getElementById('springIndex').textContent = \"Invalid Input\";\n document.getElementById('allowableLimitLoad').textContent = \"Invalid Input\";\n document.getElementById('totalDeformation').textContent = \"Invalid Input\";\n document.getElementById('springType').textContent = \"Invalid Input\";\n document.getElementById('results').classList.add('show');\n alert(\"Error: Spring Index (D\/d) must be greater than 1.\");\n return; \/\/ Stop further calculation\n }\n\n \/\/ Calculate K (\u62c9\u3001\u538b\u5f39\u7c27)\n const K = ((4 * C - 1) \/ (4 * C - 4)) + (0.615 \/ C);\n\n \/\/ Calculate Spring Rate (k) in N\/mm\n const k = (G * Math.pow(d, 4)) \/ (8 * Math.pow(D, 3) * n);\n\n \/\/ Calculate Allowable Limit Load (P3) in N\n \/\/ Formula: (PI * d^3 * Material) \/ (8 * K * D)\n \/\/ Assuming 'Material' is allowable shear stress in kgf\/mm\u00b2, and converting kgf to N (1 kgf = 9.80665 N)\n const p3 = (Math.PI * Math.pow(d, 3) * tau_allowable_kgf * 9.80665) \/ (8 * K * D);\n\n \/\/ Calculate Total Deformation at Limit Load (f3) in mm\n \/\/ Formula: (8 * D^3 * \u5141\u8bb8\u6781\u9650\u8d1f\u8377 * n) \/ (\u6750\u6599\u526a\u5207\u5f39\u6027\u7cfb\u6570 * d^4)\n \/\/ Using P3 in N and G in MPa\n const f3 = (8 * Math.pow(D, 3) * p3 * n) \/ (G * Math.pow(d, 4));\n\n \/\/ Display results\n document.getElementById('springRate').textContent = k.toFixed(2);\n document.getElementById('springIndex').textContent = C.toFixed(2);\n document.getElementById('allowableLimitLoad').textContent = p3.toFixed(2);\n document.getElementById('totalDeformation').textContent = f3.toFixed(2);\n document.getElementById('springType').textContent = K.toFixed(2);\n document.getElementById('results').classList.add('show');\n });\n <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>\u0627\u0643\u062a\u0634\u0641 \u062f\u0642\u0629 \u0648\u0643\u0641\u0627\u0621\u0629 \u062d\u0627\u0633\u0628\u0629 \u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636\u060c \u0627\u0644\u0645\u0635\u0645\u0645\u0629 \u0644\u062a\u062d\u0633\u064a\u0646 \u0645\u0634\u0627\u0631\u064a\u0639\u0643 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629. \u062a\u0648\u0641\u0631 \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u062d\u0633\u0627\u0628\u0627\u062a \u062f\u0642\u064a\u0642\u0629 \u0644\u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636\u060c \u0645\u0645\u0627 \u064a\u0639\u0632\u0632...<\/p>","protected":false},"author":2,"featured_media":15947,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3434],"tags":[3421,2234,3689],"class_list":["post-15943","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-spring-calculator","tag-engineering-tool","tag-mechanical-design","tag-spring-stiffness","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/Spring-Stiffness-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15943","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=15943"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15943\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media\/15947"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media?parent=15943"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/categories?post=15943"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/tags?post=15943"}],"curies":[{"name":"\u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

\u0627\u0643\u062a\u0634\u0641 \u062f\u0642\u0629 \u0648\u0643\u0641\u0627\u0621\u0629 \u062d\u0627\u0633\u0628\u0629 \u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636\u060c \u0627\u0644\u0645\u0635\u0645\u0645\u0629 \u0644\u062a\u062d\u0633\u064a\u0646 \u0645\u0634\u0627\u0631\u064a\u0639\u0643 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629. \u062a\u0648\u0641\u0631 \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u062d\u0633\u0627\u0628\u0627\u062a \u062f\u0642\u064a\u0642\u0629 \u0644\u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636\u060c \u0645\u0645\u0627 \u064a\u0639\u0632\u0632 \u0645\u0648\u062b\u0648\u0642\u064a\u0629 \u0627\u0644\u062a\u0635\u0645\u064a\u0645 \u0648\u0623\u062f\u0627\u0626\u0647. \u0645\u062b\u0627\u0644\u064a\u0629 \u0644\u0644\u0645\u0647\u0646\u062f\u0633\u064a\u0646 \u0648\u0627\u0644\u0645\u0635\u0645\u0645\u064a\u0646 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u064a\u0646\u060c \u0641\u0647\u064a \u062a\u064f\u0628\u0633\u0637 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629\u060c \u0648\u062a\u0648\u0641\u0631 \u0644\u0643 \u0627\u0644\u0648\u0642\u062a \u0648\u0627\u0644\u062c\u0647\u062f. \u0627\u0633\u062a\u062e\u062f\u0645 \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u0644\u0636\u0645\u0627\u0646 \u0645\u0637\u0627\u0628\u0642\u0629 \u0646\u0627\u0628\u0636\u0643 \u0644\u0644\u0645\u0648\u0627\u0635\u0641\u0627\u062a \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0648\u0623\u062f\u0627\u0626\u0647 \u0627\u0644\u0645\u062b\u0627\u0644\u064a \u0641\u064a \u0623\u064a \u062a\u0637\u0628\u064a\u0642. \u0633\u0648\u0627\u0621 \u0643\u0646\u062a \u062a\u0639\u0645\u0644 \u0641\u064a \u0645\u0634\u0627\u0631\u064a\u0639 \u0627\u0644\u0633\u064a\u0627\u0631\u0627\u062a \u0623\u0648 \u0627\u0644\u0641\u0636\u0627\u0621 \u0623\u0648 \u0627\u0644\u0635\u0646\u0627\u0639\u0629\u060c \u0641\u0625\u0646 \u062d\u0627\u0633\u0628\u062a\u0646\u0627 \u0645\u0648\u0631\u062f \u0623\u0633\u0627\u0633\u064a \u0644\u062a\u062d\u0642\u064a\u0642 \u0623\u0641\u0636\u0644 \u0627\u0644\u0646\u062a\u0627\u0626\u062c. \u062c\u0631\u0651\u0628 \u0641\u0648\u0627\u0626\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0644\u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636 \u0627\u0644\u064a\u0648\u0645.<\/p>\n\n\n