{"id":100222,"date":"2026-02-15T20:28:09","date_gmt":"2026-02-15T20:28:09","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100222"},"modified":"2026-02-15T20:28:09","modified_gmt":"2026-02-15T20:28:09","slug":"shaft-deflection-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/nb\/calculators\/shaft-deflection-calculator\/","title":{"rendered":"Kalkulator for akselavb\u00f8yning | Gratisverkt\u00f8y #072"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Shaft Deflection Calculator\",\"description\":\"Calculate shaft deflection under various loads.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/shaft-deflection-calculator\/\",\"applicationCategory\":\"Engineering Calculator\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-02-14\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"Which load type should I choose?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Center point for symmetric loading, offset for asymmetric, distributed for self-weight, cantilever for overhung loads.\"}},\n{\"@type\":\"Question\",\"name\":\"What is acceptable shaft deflection?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"General L\/3000, gear shafts L\/5000, precision L\/10000.\"}},\n{\"@type\":\"Question\",\"name\":\"How does diameter affect deflection?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Deflection scales as 1\/d^4 via I. Doubling diameter reduces deflection 16x.\"}},\n{\"@type\":\"Question\",\"name\":\"What about stepped shafts?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Use Castigliano theorem, transfer matrix, or FEA for stepped shafts.\"}},\n{\"@type\":\"Question\",\"name\":\"How to find critical speed from deflection?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"First critical speed Ncr = 946\/sqrt(delta_mm) RPM (Rayleigh approximation).\"}}\n]}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Shaft Deflection\",\"item\":\"https:\/\/vibromera.eu\/calculators\/shaft-deflection-calculator\/\"}]}<\/script>\n\n<link rel=\"preconnect\" 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print{.vc-section-body{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-presets,.vc-promo{display:none!important}}<\/style>\n\n<div class=\"vc-calculator\">\n<header class=\"vc-header\">\n<p class=\"vc-header-eyebrow\">Free Engineering Tool #072<\/p>\n<h1 class=\"vc-header-title\">Shaft Deflection Calculator<\/h1>\n<p class=\"vc-header-subtitle\">Calculate shaft deflection under various loading conditions: center point, offset point, distributed, or cantilever.<\/p>\n<div class=\"vc-badges\"><span class=\"vc-badge\">Beam Formulas<\/span><span class=\"vc-badge\">4 Load Types<\/span><span class=\"vc-badge\">Auto-Calc<\/span><\/div>\n<\/header>\n<div class=\"vc-card\">\n<div class=\"vc-unit-bar\"><button type=\"button\" class=\"vc-unit-btn vc-active\" data-system=\"metric\">Metric (mm, N, GPa)<\/button><button type=\"button\" class=\"vc-unit-btn\" data-system=\"imperial\">Imperial (in, lbf, Mpsi)<\/button><\/div>\n<form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-form-grid\">\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-len\">Shaft Length L <span class=\"vc-label-hint\" id=\"vc-lu\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-len\" step=\"any\" min=\"1\" value=\"500\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dia\">Shaft Diameter d <span class=\"vc-label-hint\" id=\"vc-du\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dia\" step=\"any\" min=\"1\" value=\"40\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-E\">Young&#8217;s Modulus E <span class=\"vc-label-hint\" id=\"vc-eu\">(GPa)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-E\" step=\"any\" min=\"1\" value=\"210\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-load\">Load F or w <span class=\"vc-label-hint\" id=\"vc-flu\">(N or N\/mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-load\" step=\"any\" min=\"0\" value=\"5000\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-type\">Load Type<\/label><select class=\"vc-select\" id=\"vc-type\"><option value=\"center\" selected>Point at Center<\/option><option value=\"offset\">Point at Position a<\/option><option value=\"distributed\">Uniform Distributed<\/option><option value=\"cantilever\">Cantilever End Load<\/option><\/select><\/div>\n<div class=\"vc-field\" id=\"vc-f-a\" style=\"display:none\"><label class=\"vc-label\" for=\"vc-apos\">Position a <span class=\"vc-label-hint\" id=\"vc-au\">(mm from left)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-apos\" step=\"any\" min=\"0\" value=\"200\"><\/div>\n<\/div>\n<div class=\"vc-presets\"><div class=\"vc-presets-label\">Quick presets<\/div>\n<button type=\"button\" class=\"vc-preset-btn\" data-l=\"500\" data-d=\"40\" data-f=\"5000\" data-t=\"center\">Center 5kN L500 d40<\/button>\n<button type=\"button\" class=\"vc-preset-btn\" data-l=\"300\" data-d=\"30\" data-f=\"1000\" data-t=\"cantilever\">Cantilever 1kN L300 d30<\/button>\n<button type=\"button\" class=\"vc-preset-btn\" data-l=\"600\" data-d=\"50\" data-f=\"10\" data-t=\"distributed\">Distrib 10N\/mm L600 d50<\/button>\n<\/div><\/form>\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Results<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div>\n<div class=\"vc-result-grid\">\n<div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Maximum Deflection<\/div><div class=\"vc-rcard-value\" id=\"vc-r-def\">&mdash;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Max Slope<\/div><div class=\"vc-rcard-value\" id=\"vc-r-slope\">&mdash;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Moment of Inertia I<\/div><div class=\"vc-rcard-value\" id=\"vc-r-I\">&mdash;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Max Bending Moment<\/div><div class=\"vc-rcard-value\" id=\"vc-r-M\">&mdash;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Max Bending Stress<\/div><div class=\"vc-rcard-value\" id=\"vc-r-sig\">&mdash;<\/div><\/div>\n<\/div><\/div><\/div>\n\n<div class=\"vc-section vc-open\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">&#x1F4D8;<\/span><span class=\"vc-section-title\">Theory &amp; Formulas<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n<div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\">\n<h3>Simply Supported &#8211; Center Load<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n<h3>Simply Supported &#8211; Distributed<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div>\n<h3>Cantilever &#8211; End Load<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-3\"><\/div>\n<h3>Moment of Inertia<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-4\"><\/div>\n<div class=\"vc-warning-box\"><p style=\"margin:0;font-size:14px;color:var(--vc-ink-secondary)\">Critical speed: N<sub>cr<\/sub> = 946\/&radic;&delta;<sub>mm<\/sub> RPM. Assumes uniform shaft and simply supported.<\/p><\/div>\n<\/div><\/div><\/div>\n\n<div class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">&#x1F517;<\/span><span class=\"vc-section-title\">Related Calculators<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n<div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\">\n<a class=\"vc-related-link\" href=\"\/calculators\/shaft-diameter-torsion\/\">Shaft Diameter<\/a>\n<a class=\"vc-related-link\" href=\"\/calculators\/rotor-moment-of-inertia\/\">Moment of Inertia<\/a>\n<a class=\"vc-related-link\" href=\"\/calculators\/keyway-calculator\/\">Keyway Calculator<\/a>\n<a class=\"vc-related-link\" href=\"\/calculators\/ball-screw-calculator\/\">Ball Screw<\/a>\n<\/div><\/div><\/div><\/div>\n\n<div class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">&#x2753;<\/span><span class=\"vc-section-title\">FAQ<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n<div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div><\/div>\n\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera<\/strong> &mdash; Portable Balancing &amp; Vibration Analysis. 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Offset: asymmetric. Distributed: self-weight. Cantilever: overhung.<\/p>'},{q:'Acceptable deflection?',a:'<p>General: L\/3000. Gear shafts: L\/5000. Precision: L\/10000.<\/p>'},{q:'How does diameter affect deflection?',a:'<p>1\/d\\u2074 via I. Doubling d reduces deflection 16x.<\/p>'},{q:'Stepped shafts?',a:'<p>Use Castigliano, transfer matrix, or FEA.<\/p>'},{q:'Critical speed from deflection?',a:'<p>N<sub>cr<\/sub>=946\/\\u221A\\u03B4<sub>mm<\/sub> RPM.<\/p>'}];\nvar fL=$('vc-faq-list');fD.forEach(function(f){fL.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>'+f.q+'<\/span><svg class=\"vc-faq-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\">'+f.a+'<\/div><\/div><\/div>'});\nfL.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open')});\n\nfunction sH(e){var k='vc_history_'+SLUG,a=[];try{a=JSON.parse(localStorage.getItem(k))||[]}catch(x){}e._ts=new Date().toISOString();a.unshift(e);if(a.length>10)a=a.slice(0,10);try{localStorage.setItem(k,JSON.stringify(a))}catch(x){}}\n\nfunction rF(){try{\nkatex.render('\\\\delta_{max}=\\\\frac{FL^3}{48EI}',$('vc-katex-1'),{displayMode:true,throwOnError:false});\nkatex.render('\\\\delta_{max}=\\\\frac{5wL^4}{384EI}',$('vc-katex-2'),{displayMode:true,throwOnError:false});\nkatex.render('\\\\delta_{max}=\\\\frac{FL^3}{3EI}',$('vc-katex-3'),{displayMode:true,throwOnError:false});\nkatex.render('I=\\\\frac{\\\\pi d^4}{64}',$('vc-katex-4'),{displayMode:true,throwOnError:false});\n}catch(e){}}\nrF();calc();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Beregn akselnedb\u00f8yning under punktsenterlast, forskyvningslast, distribuert last eller utkraget last. 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