Shaft Stiffness Calculator<\/title>\n <style>\n \/* \u4f7f\u7528\u7279\u5b9a\u7684\u7c7b\u540d\u524d\u7f00\uff0c\u907f\u514d\u6837\u5f0f\u51b2\u7a81 *\/\n .shaft-calculator {\n max-width: 1200px;\n margin: 0 auto;\n padding: 20px;\n font-family: inherit;\n position: relative;\n z-index: 1;\n }\n\n .shaft-calculator .section {\n margin-bottom: 30px;\n position: relative;\n }\n\n .shaft-calculator .parameters-grid {\n display: grid;\n grid-template-columns: repeat(3, 1fr);\n gap: 20px;\n margin-bottom: 20px;\n }\n\n .shaft-calculator .parameter-explanation {\n background: #f8f9fa;\n padding: 15px;\n border-radius: 4px;\n margin-bottom: 15px;\n }\n\n .shaft-calculator .parameter-explanation h3 {\n color: #333;\n margin: 0 0 10px 0;\n font-size: 16px;\n }\n\n .shaft-calculator .parameter-explanation p {\n margin: 5px 0;\n color: #666;\n font-size: 14px;\n }\n\n .shaft-calculator .unit-info {\n color: #007bff !important;\n font-size: 13px !important;\n }\n\n .shaft-calculator .calculator-inputs {\n display: grid;\n grid-template-columns: repeat(3, 1fr);\n gap: 20px;\n margin-bottom: 20px;\n }\n\n .shaft-calculator .input-group {\n display: flex;\n flex-direction: column;\n gap: 5px;\n }\n\n .shaft-calculator .input-group label {\n font-weight: 500;\n color: #333;\n }\n\n .shaft-calculator .input-group input,\n .shaft-calculator .input-group select {\n padding: 8px;\n border: 1px solid #ddd;\n border-radius: 4px;\n font-size: 14px;\n width: 100%;\n box-sizing: border-box;\n }\n\n .shaft-calculator .input-group input:focus,\n .shaft-calculator .input-group select:focus {\n border-color: #007bff;\n outline: none;\n box-shadow: 0 0 0 2px rgba(0,123,255,0.25);\n }\n\n .shaft-calculator .section h2 {\n color: #333;\n margin-bottom: 20px;\n padding-bottom: 10px;\n font-size: 1.5em;\n font-weight: 600;\n }\n\n .shaft-calculator .calculate-btn {\n background-color: #007bff;\n color: white;\n padding: 12px 24px;\n border: none;\n border-radius: 4px;\n cursor: pointer;\n font-size: 16px;\n margin: 20px auto;\n display: block;\n min-width: 200px;\n transition: background-color 0.3s;\n }\n\n .shaft-calculator .calculate-btn:hover {\n background-color: #0056b3;\n color: #ffffff;\n }\n\n .shaft-calculator .results {\n display: none;\n margin-top: 20px;\n padding: 20px;\n background-color: #f8f9fa;\n border-radius: 4px;\n box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n }\n\n .shaft-calculator .result-item {\n margin: 10px 0;\n font-size: 16px;\n display: flex;\n justify-content: space-between;\n align-items: center;\n padding: 12px;\n border-bottom: 1px solid #eee;\n background-color: #fff;\n }\n\n .shaft-calculator .result-label {\n color: #333;\n font-weight: 500;\n }\n\n .shaft-calculator .result-value-container {\n display: flex;\n align-items: center;\n gap: 5px;\n }\n\n .shaft-calculator .result-value {\n font-weight: bold;\n color: #28a745;\n font-size: 1.1em;\n }\n\n @media (max-width: 768px) {\n .shaft-calculator .parameters-grid,\n .shaft-calculator .calculator-inputs {\n grid-template-columns: 1fr;\n }\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"shaft-calculator\">\n \n <div class=\"section\">\n <h2>\u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/h2>\n <div class=\"parameters-grid\">\n <div class=\"parameter-explanation\">\n <h3>Axial Force (Ft)<\/h3>\n <p>The force acting along the axis of the shaft<\/p>\n <p class=\"unit-info\">Unit: N (Newton)<\/p>\n <\/div>\n <div class=\"parameter-explanation\">\n <h3>Radial Force (Fr)<\/h3>\n <p>The force acting perpendicular to the shaft axis<\/p>\n <p class=\"unit-info\">Unit: N (Newton)<\/p>\n <\/div>\n <div class=\"parameter-explanation\">\n <h3>Shaft Diameter (d)<\/h3>\n <p>The diameter of the shaft<\/p>\n <p class=\"unit-info\">Unit: mm (millimeter)<\/p>\n <\/div>\n <div class=\"parameter-explanation\">\n <h3>Distance (a)<\/h3>\n <p>The distance from one end to the first point<\/p>\n <p class=\"unit-info\">Unit: mm (millimeter)<\/p>\n <\/div>\n <div class=\"parameter-explanation\">\n <h3>Distance (b)<\/h3>\n <p>The distance from one end to the second point<\/p>\n <p class=\"unit-info\">Unit: mm (millimeter)<\/p>\n <\/div>\n <div class=\"parameter-explanation\">\n <h3>Total Length (L)<\/h3>\n <p>The total length of the shaft<\/p>\n <p class=\"unit-info\">Unit: mm (millimeter)<\/p>\n <\/div>\n <div class=\"parameter-explanation\">\n <h3>Material<\/h3>\n <p>The material of the shaft<\/p>\n <p class=\"unit-info\">Affects the elastic modulus (E)<\/p>\n <\/div>\n <\/div>\n <\/div>\n\n \n <div class=\"section\">\n <h2>\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440<\/h2>\n <div class=\"calculator-inputs\">\n <div class=\"input-group\">\n <label for=\"ft\">Ft (N)<\/label>\n <input type=\"number\" id=\"ft\" step=\"0.1\" placeholder=\"Enter axial force\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"fr\">Fr (N)<\/label>\n <input type=\"number\" id=\"fr\" step=\"0.1\" placeholder=\"Enter radial force\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"diameter\">d (mm)<\/label>\n <input type=\"number\" id=\"diameter\" step=\"0.1\" placeholder=\"\u0412\u0432\u0435\u0434\u0438\u0442\u0435 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"a\">a (mm)<\/label>\n <input type=\"number\" id=\"a\" step=\"0.1\" placeholder=\"Enter distance a\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"b\">b (mm)<\/label>\n <input type=\"number\" id=\"b\" step=\"0.1\" placeholder=\"Enter distance b\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"length\">L (mm)<\/label>\n <input type=\"number\" id=\"length\" step=\"0.1\" placeholder=\"Enter total length\">\n <\/div>\n <div class=\"input-group\">\n <label for=\"material\">Material<\/label>\n <select id=\"material\">\n <option value=\"steel\">Steel (E = 210 GPa)<\/option>\n <option value=\"aluminum\">Aluminum (E = 70 GPa)<\/option>\n <option value=\"brass\">Brass (E = 100 GPa)<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div class=\"button-container\">\n <button class=\"calculate-btn\" onclick=\"calculateResults()\">\u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/button>\n <\/div>\n <\/div>\n\n \n <div class=\"section results\" id=\"results\">\n <h2>\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b<\/h2>\n <div class=\"result-item\">\n <div class=\"result-label\">Moment of Inertia (I):<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"momentOfInertia\">0<\/span>\n <span class=\"unit\">mm\u2074<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">Critical Speed (fc):<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"criticalSpeed\">0<\/span>\n <span class=\"unit\">\u0413\u0446<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">Natural Frequency (fg):<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"naturalFreq\">0<\/span>\n <span class=\"unit\">\u0413\u0446<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">Critical Speed Squared (fc\u00b2):<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"criticalSpeedSquared\">0<\/span>\n <span class=\"unit\">Hz\u00b2<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">Natural Frequency Squared (fg\u00b2):<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"naturalFreqSquared\">0<\/span>\n <span class=\"unit\">Hz\u00b2<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">Frequency Ratio (f):<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"freqRatio\">0<\/span>\n <\/div>\n <\/div>\n <div class=\"result-item\">\n <div class=\"result-label\">Coefficient:<\/div>\n <div class=\"result-value-container\">\n <span class=\"result-value\" id=\"coefficient\">0<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <script>\n function calculateResults() {\n \/\/ Get input values\n const ft = parseFloat(document.getElementById('ft').value) || 0;\n const fr = parseFloat(document.getElementById('fr').value) || 0;\n const diameter = parseFloat(document.getElementById('diameter').value) || 0;\n const a = parseFloat(document.getElementById('a').value) || 0;\n const b = parseFloat(document.getElementById('b').value) || 0;\n const length = parseFloat(document.getElementById('length').value) || 0;\n const material = document.getElementById('material').value;\n\n \/\/ Material properties (MPa)\n const E = material === 'steel' ? 210000 : (material === 'aluminum' ? 70000 : 100000);\n\n \/\/ Calculate moment of inertia (mm\u2074)\n const I = (Math.PI * Math.pow(diameter, 4)) \/ 64;\n\n \/\/ Calculate cross-sectional area (mm\u00b2)\n const A = (Math.PI * Math.pow(diameter, 2)) \/ 4;\n\n \/\/ Calculate critical speed (Hz)\n const criticalSpeed = Math.sqrt((E * I) \/ (A * length * length * length)) \/ (2 * Math.PI);\n\n \/\/ Calculate natural frequency (Hz)\n const naturalFreq = criticalSpeed * Math.sqrt(1 - (fr \/ (E * A)));\n\n \/\/ Calculate squares\n const criticalSpeedSquared = Math.pow(criticalSpeed, 2);\n const naturalFreqSquared = Math.pow(naturalFreq, 2);\n\n \/\/ Calculate frequency ratio\n const freqRatio = naturalFreq \/ criticalSpeed;\n\n \/\/ Calculate coefficient (assuming it's based on the ratio)\n const coefficient = 1 \/ (1 - Math.pow(freqRatio, 2));\n\n \/\/ Display results\n document.getElementById('momentOfInertia').textContent = I.toFixed(2);\n document.getElementById('criticalSpeed').textContent = criticalSpeed.toFixed(2);\n document.getElementById('naturalFreq').textContent = naturalFreq.toFixed(2);\n document.getElementById('criticalSpeedSquared').textContent = criticalSpeedSquared.toFixed(2);\n document.getElementById('naturalFreqSquared').textContent = naturalFreqSquared.toFixed(2);\n document.getElementById('freqRatio').textContent = freqRatio.toFixed(4);\n document.getElementById('coefficient').textContent = coefficient.toFixed(4);\n\n document.getElementById('results').style.display = 'block';\n }\n <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Discover precision engineering with our Shaft Stiffness and Force Calculator. Designed for mechanical professionals, this tool helps you determine shaft rigidity and required force for…<\/p>","protected":false},"author":2,"featured_media":15498,"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":[3424],"tags":[3546,3545,3544],"class_list":["post-15495","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-keyway-pin-shaft-calculator","tag-engineering-design-tool","tag-mechanical-force-calculation","tag-shaft-rigidity-analysis","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/Shaft-Stiffness-and-Force-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/posts\/15495","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/comments?post=15495"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/posts\/15495\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/media\/15498"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/media?parent=15495"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/categories?post=15495"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/tags?post=15495"}],"curies":[{"name":"WP","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

Discover precision engineering with our Shaft Stiffness and Force Calculator. Designed for mechanical professionals, this tool helps you determine shaft rigidity and required force for various applications. Enhance your design and analysis process, ensuring optimal performance and reducing potential mechanical failures. Easy to use and highly accurate, our calculator is an essential resource for engineers and designers seeking enhanced reliability and efficiency in their projects. Stay ahead in your field by integrating advanced computational tools in your workflow. Explore our calculator today!<\/p>\n\n\n

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