{"id":100030,"date":"2026-02-15T20:07:18","date_gmt":"2026-02-15T20:07:18","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100030"},"modified":"2026-02-15T20:07:18","modified_gmt":"2026-02-15T20:07:18","slug":"bearing-thermal-expansion","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/bn\/calculators\/bearing-thermal-expansion\/","title":{"rendered":"\u09ac\u09c7\u09af\u09bc\u09be\u09b0\u09bf\u0982 \u09a5\u09be\u09b0\u09cd\u09ae\u09be\u09b2 \u09b8\u09ae\u09cd\u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0 | \u03b4 = L\u00d7\u03b1\u00d7\u0394T | \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u09b8\u09b0\u099e\u09cd\u099c\u09be\u09ae"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Bearing Thermal Expansion Calculator\",\"description\":\"Calculate thermal expansion affecting bearing arrangements. \u03b4 = L\u00d7\u03b1\u00d7\u0394T.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/bearing-thermal-expansion\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2025-01-01\",\"dateModified\":\"2026-02-15\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"Why does thermal expansion matter for bearings?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"When a shaft heats up during operation, it expands axially. If both bearings are fixed axially (locating), the expansion creates internal preload, increasing friction and temperature. Proper locating\/non-locating arrangement allows thermal growth without damaging the bearings.\"}},\n{\"@type\":\"Question\",\"name\":\"What is a locating\/non-locating bearing arrangement?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"In a locating\/non-locating arrangement, one bearing is fixed axially (locating) to position the shaft, while the other bearing is free to slide axially (non-locating) to accommodate thermal expansion. This is the most common arrangement.\"}},\n{\"@type\":\"Question\",\"name\":\"What is the CTE of steel?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The coefficient of thermal expansion (CTE) for carbon steel is approximately 11-12 \u00d7 10\u207b\u2076 \/\u00b0C. Stainless steel is about 16-17, aluminum is 23, and cast iron is 10-11.\"}},\n{\"@type\":\"Question\",\"name\":\"How much expansion is typical?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"A 1-meter steel shaft with a 50\u00b0C temperature rise expands about 0.6 mm. This may seem small but can generate enormous forces if both bearing positions are axially fixed.\"}},\n{\"@type\":\"Question\",\"name\":\"What if shaft and housing are different materials?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"When shaft and housing have different CTEs (e.g., steel shaft in aluminum housing), the differential expansion must be calculated. The housing expands more than the shaft with aluminum, potentially reducing interference fit.\"}}\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\":\"Thermal Expansion\",\"item\":\"https:\/\/vibromera.eu\/calculators\/bearing-thermal-expansion\/\"}]}<\/script>\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=DM+Sans:ital,opsz,wght@0,9..40,300;0,9..40,400;0,9..40,500;0,9..40,600;0,9..40,700;1,9..40,400&#038;family=JetBrains+Mono:wght@400;500;600&#038;family=Fraunces:opsz,wght@9..144,700;9..144,800&#038;display=swap\" rel=\"stylesheet\">\n\n<link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.css\">\n\n<style>:root{--vc-bg:#f4f1ec;--vc-surface:#fff;--vc-surface-alt:#f8f6f2;--vc-ink:#1a1a1a;--vc-ink-secondary:#5a5650;--vc-ink-muted:#8a857e;--vc-accent:#c85a2a;--vc-accent-hover:#b04d22;--vc-accent-light:#fdf0ea;--vc-blue:#2a5c8c;--vc-blue-light:#eaf1f8;--vc-green:#2a7a4b;--vc-green-light:#eaf8ef;--vc-yellow:#a67c00;--vc-yellow-light:#fef9e8;--vc-red:#b91c1c;--vc-red-light:#fef2f2;--vc-border:#d9d4cc;--vc-border-light:#e8e4dd;--vc-shadow:0 1px 3px rgba(26,26,26,.06),0 4px 12px rgba(26,26,26,.04);--vc-radius:8px;--vc-radius-lg:12px;--vc-font:'DM Sans',-apple-system,BlinkMacSystemFont,'Segoe UI',sans-serif;--vc-mono:'JetBrains Mono','Consolas','Monaco',monospace;--vc-display:'Fraunces',Georgia,serif}.vc-calculator{font-family:var(--vc-font);font-size:15px;line-height:1.65;color:var(--vc-ink);max-width:960px;margin:0 auto;padding:20px 16px 40px;-webkit-font-smoothing:antialiased}.vc-calculator *,.vc-calculator *::before,.vc-calculator *::after{box-sizing:border-box}.vc-header{text-align:center;padding:48px 24px 40px;position:relative}.vc-header::after{content:'';position:absolute;bottom:0;left:50%;transform:translateX(-50%);width:80px;height:3px;background:var(--vc-accent);border-radius:2px}.vc-header-eyebrow{font-family:var(--vc-mono);font-size:11px;font-weight:500;letter-spacing:.15em;text-transform:uppercase;color:var(--vc-accent);margin:0 0 12px}.vc-header-title{font-family:var(--vc-display);font-size:clamp(24px,4vw,36px);font-weight:800;line-height:1.15;color:var(--vc-ink);margin:0 0 16px;letter-spacing:-.02em}.vc-header-subtitle{font-size:15px;color:var(--vc-ink-secondary);margin:0 auto 20px;max-width:600px}.vc-badges{display:inline-flex;gap:8px;flex-wrap:wrap;justify-content:center}.vc-badge{font-family:var(--vc-mono);font-size:11px;font-weight:500;padding:4px 10px;border-radius:4px;background:var(--vc-surface);border:1px solid var(--vc-border);color:var(--vc-ink-secondary)}.vc-card{background:var(--vc-surface);border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);box-shadow:var(--vc-shadow);overflow:hidden;margin-top:32px}.vc-form{padding:24px}.vc-form-grid{display:grid;grid-template-columns:1fr 1fr;gap:18px}@media(max-width:600px){.vc-form-grid{grid-template-columns:1fr}}.vc-field{display:flex;flex-direction:column}.vc-label{font-size:12px;font-weight:600;letter-spacing:.04em;text-transform:uppercase;color:var(--vc-ink-secondary);margin-bottom:6px}.vc-label-hint{font-weight:400;text-transform:none;letter-spacing:0;color:var(--vc-ink-muted);font-size:11px}.vc-select,.vc-input{width:100%;padding:10px 12px;border:1.5px solid var(--vc-border);border-radius:6px;font-family:var(--vc-font);font-size:14px;color:var(--vc-ink);background:var(--vc-surface);transition:border-color .15s,box-shadow .15s}.vc-select{padding-right:36px;appearance:none;-webkit-appearance:none;cursor:pointer;background-image:url(\"data:image\/svg+xml,%3Csvg xmlns='http:\/\/www.w3.org\/2000\/svg' width='16' height='16' fill='none' stroke='%235a5650' stroke-width='2'%3E%3Cpath d='M4 6l4 4 4-4'\/%3E%3C\/svg%3E\");background-repeat:no-repeat;background-position:right 10px center}.vc-select:focus,.vc-input:focus{outline:none;border-color:var(--vc-accent);box-shadow:0 0 0 3px rgba(200,90,42,.12)}.vc-presets{display:flex;flex-wrap:wrap;gap:8px;margin-top:18px;padding-top:18px;border-top:1px solid var(--vc-border-light)}.vc-presets-label{font-family:var(--vc-mono);font-size:11px;font-weight:500;letter-spacing:.1em;text-transform:uppercase;color:var(--vc-ink-muted);width:100%;margin-bottom:2px}.vc-preset-btn{padding:5px 12px;font-family:var(--vc-font);font-size:12px;font-weight:500;border:1px solid var(--vc-border);border-radius:6px;background:var(--vc-surface-alt);color:var(--vc-ink-secondary);cursor:pointer;transition:all .15s}.vc-preset-btn:hover{border-color:var(--vc-accent);color:var(--vc-accent);background:var(--vc-accent-light)}.vc-results{border-top:1px solid var(--vc-border-light);background:var(--vc-surface-alt);padding:0;max-height:0;overflow:hidden;transition:max-height .5s cubic-bezier(.4,0,.2,1),padding .3s}.vc-results.vc-visible{max-height:2000px;padding:24px}.vc-results-head{display:flex;align-items:center;justify-content:space-between;margin-bottom:18px}.vc-results-title{font-family:var(--vc-display);font-size:20px;font-weight:700;color:var(--vc-ink);margin:0}.vc-copy-btn{display:inline-flex;align-items:center;gap:5px;padding:6px 12px;border:1px solid var(--vc-border);border-radius:6px;background:var(--vc-surface);font-family:var(--vc-font);font-size:12px;font-weight:500;color:var(--vc-ink-secondary);cursor:pointer;transition:all .15s}.vc-copy-btn:hover{border-color:var(--vc-accent);color:var(--vc-accent)}.vc-copy-btn.vc-copied{background:var(--vc-green-light);border-color:var(--vc-green);color:var(--vc-green)}.vc-result-grid{display:grid;grid-template-columns:1fr 1fr;gap:12px;margin-bottom:20px}@media(max-width:500px){.vc-result-grid{grid-template-columns:1fr}}.vc-rcard{background:var(--vc-surface);border:1px solid var(--vc-border-light);border-radius:var(--vc-radius);padding:16px;transition:transform .2s}.vc-rcard:hover{transform:translateY(-1px)}.vc-rcard-primary{border-color:var(--vc-accent);border-width:2px;background:linear-gradient(135deg,#fdf6f2,var(--vc-surface));grid-column:1\/-1}.vc-rcard-label{font-family:var(--vc-mono);font-size:10px;font-weight:500;letter-spacing:.1em;text-transform:uppercase;color:var(--vc-ink-muted);margin-bottom:4px}.vc-rcard-value{font-family:var(--vc-mono);font-size:22px;font-weight:600;color:var(--vc-ink);line-height:1.2}.vc-rcard-primary .vc-rcard-value{font-size:30px;color:var(--vc-accent)}.vc-rcard-unit{font-size:14px;font-weight:400;color:var(--vc-ink-secondary)}.vc-section{margin-top:24px;border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);background:var(--vc-surface);box-shadow:var(--vc-shadow);overflow:hidden}.vc-section-toggle{width:100%;display:flex;align-items:center;justify-content:space-between;padding:18px 24px;border:none;background:transparent;cursor:pointer;font-family:var(--vc-font);text-align:left;transition:background .15s}.vc-section-toggle:hover{background:var(--vc-surface-alt)}.vc-section-toggle-text{display:flex;align-items:center;gap:10px}.vc-section-icon{font-size:20px;line-height:1}.vc-section-title{font-family:var(--vc-display);font-size:18px;font-weight:700;color:var(--vc-ink);margin:0}.vc-section-chevron{width:20px;height:20px;color:var(--vc-ink-muted);transition:transform .3s;flex-shrink:0}.vc-section.vc-open .vc-section-chevron{transform:rotate(180deg)}.vc-section-body{max-height:0;overflow:hidden;transition:max-height .4s cubic-bezier(.4,0,.2,1)}.vc-section.vc-open .vc-section-body{max-height:20000px}.vc-section-inner{padding:0 24px 24px;border-top:1px solid var(--vc-border-light)}.vc-theory h3{font-family:var(--vc-display);font-size:17px;font-weight:700;color:var(--vc-ink);margin:28px 0 10px}.vc-theory h3:first-child{margin-top:20px}.vc-theory p{font-size:14px;color:var(--vc-ink-secondary);margin:0 0 10px}.vc-theory ul{font-size:14px;color:var(--vc-ink-secondary);margin:0 0 12px 18px;padding:0}.vc-theory li{margin-bottom:5px}.vc-formula-box{background:var(--vc-surface-alt);border:2px solid var(--vc-border);border-radius:6px;padding:14px 20px;font-family:var(--vc-mono);font-size:16px;font-weight:500;text-align:center;margin:14px 0;color:var(--vc-ink);overflow-x:auto}.vc-info-box{background:var(--vc-blue-light);border-left:3px solid var(--vc-blue);padding:14px 16px;border-radius:0 6px 6px 0;margin:14px 0}.vc-info-box p{margin:0;font-size:14px;color:var(--vc-ink-secondary)}.vc-table{width:100%;border-collapse:collapse;margin:14px 0;font-size:13px}.vc-table th,.vc-table td{padding:10px 12px;border:1px solid var(--vc-border-light);text-align:left}.vc-table th{background:var(--vc-surface-alt);font-size:11px;font-weight:600;text-transform:uppercase;letter-spacing:.05em;color:var(--vc-ink-secondary)}.vc-table tr:nth-child(even){background:var(--vc-surface-alt)}.vc-faq-list{display:flex;flex-direction:column;gap:8px;margin-top:20px}.vc-faq-item{border:1px solid var(--vc-border-light);border-radius:6px;overflow:hidden}.vc-faq-q{width:100%;display:flex;align-items:center;justify-content:space-between;gap:12px;padding:14px 16px;border:none;background:var(--vc-surface-alt);cursor:pointer;font-family:var(--vc-font);font-size:15px;font-weight:600;color:var(--vc-ink);text-align:left;transition:background .15s}.vc-faq-q:hover{background:#ede9e3}.vc-faq-chevron{width:16px;height:16px;color:var(--vc-ink-muted);flex-shrink:0;transition:transform .25s}.vc-faq-item.vc-open .vc-faq-chevron{transform:rotate(180deg)}.vc-faq-a{max-height:0;overflow:hidden;transition:max-height .35s}.vc-faq-item.vc-open .vc-faq-a{max-height:1200px}.vc-faq-a-inner{padding:14px 16px;border-top:1px solid var(--vc-border-light);font-size:14px;color:var(--vc-ink-secondary)}.vc-faq-a-inner p{margin:0 0 8px}.vc-faq-a-inner p:last-child{margin-bottom:0}.vc-related{display:flex;flex-wrap:wrap;gap:10px;margin-top:16px}.vc-related-link{display:inline-block;padding:8px 16px;font-family:var(--vc-font);font-size:13px;font-weight:600;background:var(--vc-surface-alt);color:var(--vc-ink-secondary);border:1px solid var(--vc-border);border-radius:var(--vc-radius);text-decoration:none;transition:all .15s}.vc-related-link:hover{border-color:var(--vc-accent);color:var(--vc-accent);background:var(--vc-accent-light)}.vc-promo{margin-top:24px;padding:20px;background:linear-gradient(135deg,var(--vc-accent-light),var(--vc-surface));border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);display:flex;align-items:center;gap:16px}.vc-promo-text{flex:1;font-size:14px;color:var(--vc-ink-secondary)}.vc-promo-text strong{color:var(--vc-ink)}.vc-promo-link{padding:8px 20px;font-size:13px;font-weight:700;color:#fff;background:var(--vc-accent);border-radius:var(--vc-radius);text-decoration:none;white-space:nowrap;transition:background .15s}.vc-promo-link:hover{background:var(--vc-accent-hover)}.vc-footer{text-align:center;padding:32px 16px;font-size:13px;color:var(--vc-ink-muted)}.vc-footer a{color:var(--vc-accent);text-decoration:none}.vc-footer a:hover{text-decoration:underline}.vc-footer-links{margin-top:8px;font-size:12px}.vc-footer-links a{margin:0 8px}@media print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}<\/style>\n\n<div class=\"vc-calculator\">\n<header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Free Engineering Tool #054<\/p><h1 class=\"vc-header-title\">Bearing Thermal Expansion Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate axial thermal growth of shafts and housings affecting bearing arrangements. Includes locating\/non-locating arrangement guide.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">\u03b4 = L \u00d7 \u03b1 \u00d7 \u0394T<\/span><span class=\"vc-badge\">Multiple Materials<\/span><span class=\"vc-badge\">Arrangement Guide<\/span><\/div><\/header>\n<div class=\"vc-card\">\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-length\">Distance Between Bearings L <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-length\" inputmode=\"decimal\" step=\"any\" min=\"1\" value=\"500\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dt\">Temperature Rise \u0394T <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dt\" inputmode=\"decimal\" step=\"any\" min=\"0\" value=\"50\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mat\">Shaft Material<\/label>\n                <select class=\"vc-select\" id=\"vc-mat\"><option value=\"11.7\" selected>Carbon steel (\u03b1 \u2248 11.7)<\/option><option value=\"16.0\">Stainless steel 304 (\u03b1 \u2248 16.0)<\/option><option value=\"23.0\">Aluminum alloy (\u03b1 \u2248 23.0)<\/option><option value=\"10.5\">Cast iron (\u03b1 \u2248 10.5)<\/option><option value=\"17.3\">Copper \/ bronze (\u03b1 \u2248 17.3)<\/option><option value=\"8.6\">Titanium alloy (\u03b1 \u2248 8.6)<\/option><\/select>\n            <\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mat2\">Housing Material<\/label>\n                <select class=\"vc-select\" id=\"vc-mat2\"><option value=\"11.7\" selected>Carbon steel (\u03b1 \u2248 11.7)<\/option><option value=\"16.0\">Stainless steel 304 (\u03b1 \u2248 16.0)<\/option><option value=\"23.0\">Aluminum alloy (\u03b1 \u2248 23.0)<\/option><option value=\"10.5\">Cast iron (\u03b1 \u2248 10.5)<\/option><\/select>\n            <\/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-dt=\"50\" data-m1=\"11.7\" data-m2=\"11.7\">Steel\/Steel 500mm \u0394T=50\u00b0C<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-l=\"1000\" data-dt=\"30\" data-m1=\"11.7\" data-m2=\"23.0\">Steel\/Aluminum 1m \u0394T=30\u00b0C<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-l=\"2000\" data-dt=\"80\" data-m1=\"11.7\" data-m2=\"10.5\">Steel\/Cast iron 2m \u0394T=80\u00b0C<\/button>\n        <\/div>\n    <\/form>\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Results<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\"><svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy<\/button><\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Shaft Axial Expansion \u03b4_shaft<\/div><div class=\"vc-rcard-value\" id=\"vc-r-ds\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Housing Axial Expansion \u03b4_housing<\/div><div class=\"vc-rcard-value\" id=\"vc-r-dh\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Differential Expansion<\/div><div class=\"vc-rcard-value\" id=\"vc-r-diff\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Arrangement Recommendation<\/div><div class=\"vc-rcard-value\" id=\"vc-r-rec\" style=\"font-size:14px\">\u2014<\/div><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/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>Thermal Expansion Formula<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n        <ul><li><strong>L<\/strong> \u2014 length between bearings (mm)<\/li><li><strong>\u03b1<\/strong> \u2014 coefficient of thermal expansion (\u00d710\u207b\u2076 \/\u00b0C)<\/li><li><strong>\u0394T<\/strong> \u2014 temperature rise (\u00b0C)<\/li><\/ul>\n        <h3>CTE Values<\/h3>\n        <table class=\"vc-table\"><thead><tr><th>Material<\/th><th>\u03b1 (\u00d710\u207b\u2076 \/\u00b0C)<\/th><\/tr><\/thead><tbody><tr><td>Carbon steel<\/td><td>11.7<\/td><\/tr><tr><td>Stainless steel 304<\/td><td>16.0<\/td><\/tr><tr><td>Cast iron<\/td><td>10.5<\/td><\/tr><tr><td>Aluminum alloy<\/td><td>23.0<\/td><\/tr><tr><td>Copper \/ bronze<\/td><td>17.3<\/td><\/tr><tr><td>Titanium alloy<\/td><td>8.6<\/td><\/tr><\/tbody><\/table>\n        <h3>Locating \/ Non-Locating Arrangement<\/h3>\n        <div class=\"vc-info-box\"><p><strong>\u2139\ufe0f<\/strong> The most common bearing arrangement uses one locating bearing (fixed axially in both directions) and one non-locating bearing (free to slide axially). This accommodates thermal expansion without creating internal forces.<\/p><\/div>\n    <\/div><\/div>\n<\/div>\n<div class=\"vc-section\" id=\"vc-sec-related\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udd17<\/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\"><a class=\"vc-related-link\" href=\"\/calculators\/bearing-fit-tolerance\/\">Bearing Fit Tolerance<\/a><a class=\"vc-related-link\" href=\"\/calculators\/bearing-press-fit-force\/\">Press-Fit Force<\/a><a class=\"vc-related-link\" href=\"\/calculators\/bearing-removal-force\/\">Removal Force<\/a><\/div><\/div><\/div>\n<\/div>\n<div class=\"vc-section\" id=\"vc-sec-faq\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/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>\n<\/div>\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional vibration analyzers. Used in 50+ countries.<\/div><a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div>\n<footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p style=\"font-size:12px;margin-top:4px;\">Calculator #054. Last updated: February 2026<\/p><div class=\"vc-footer-links\"><a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a><a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a><\/div><\/footer>\n<\/div>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n    'use strict';var SLUG='bearing-thermal-expansion';\n    function $(id){return document.getElementById(id)}\n    function fmt(n,d){if(isNaN(n)||!isFinite(n))return'\u2014';return n.toFixed(d===undefined?3:d).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}\n\n    function calculate(){\n        var L=parseFloat($('vc-length').value),dT=parseFloat($('vc-dt').value);\n        var a1=parseFloat($('vc-mat').value),a2=parseFloat($('vc-mat2').value);\n        if(!L||L<=0||isNaN(dT)){$('vc-results').classList.remove('vc-visible');return;}\n        var ds=L*a1*1e-6*dT; \/\/ mm\n        var dh=L*a2*1e-6*dT;\n        var diff=ds-dh;\n        var rec;\n        if(Math.abs(diff)<0.01)rec='Same expansion \u2014 any arrangement works. Locating\/non-locating is standard practice.';\n        else if(diff>0)rec='Shaft expands MORE than housing (\u0394='+fmt(Math.abs(diff),3)+' mm). Non-locating bearing must allow outward axial slide. Use CRB or DGBB with loose housing fit.';\n        else rec='Housing expands MORE than shaft (\u0394='+fmt(Math.abs(diff),3)+' mm). Bearing internal clearance may increase. Consider C3 or C4 clearance class.';\n\n        $('vc-r-ds').innerHTML=fmt(ds,3)+' <span class=\"vc-rcard-unit\">mm<\/span>';\n        $('vc-r-dh').innerHTML=fmt(dh,3)+' <span class=\"vc-rcard-unit\">mm<\/span>';\n        $('vc-r-diff').innerHTML=fmt(diff,3)+' <span class=\"vc-rcard-unit\">mm (shaft \u2212 housing)<\/span>';\n        $('vc-r-rec').innerHTML=rec;\n        $('vc-results').classList.add('vc-visible');\n        var u=new URL(window.location);u.searchParams.set('L',L);u.searchParams.set('dT',dT);u.searchParams.set('a1',a1);u.searchParams.set('a2',a2);history.replaceState(null,'',u.toString());\n        saveHistory({L:L,dT:dT,a1:a1,a2:a2,_summary:'L='+L+'mm \u0394T='+dT+'\u00b0C \u2192 \u03b4='+fmt(ds,3)+'mm'});\n    }\n\n    document.querySelectorAll('.vc-preset-btn').forEach(function(btn){btn.addEventListener('click',function(e){e.preventDefault();$('vc-length').value=this.getAttribute('data-l');$('vc-dt').value=this.getAttribute('data-dt');$('vc-mat').value=this.getAttribute('data-m1');$('vc-mat2').value=this.getAttribute('data-m2');calculate();});});\n    $('vc-form').addEventListener('input',calculate);$('vc-form').addEventListener('change',calculate);\n    $('vc-copy-btn').addEventListener('click',function(){var text='Thermal Expansion\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nL='+$('vc-length').value+'mm, \u0394T='+$('vc-dt').value+'\u00b0C\\nShaft: '+$('vc-r-ds').textContent+'\\nHousing: '+$('vc-r-dh').textContent+'\\nDiff: '+$('vc-r-diff').textContent+'\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nvibromera.eu';if(navigator.clipboard){navigator.clipboard.writeText(text).then(function(){var b=$('vc-copy-btn');b.classList.add('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><polyline points=\"20 6 9 17 4 12\"\/><\/svg> Copied!';setTimeout(function(){b.classList.remove('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy';},2000);});}});\n    document.querySelectorAll('.vc-section-toggle').forEach(function(btn){btn.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'));});});\n    var faqData=[{q:'Why does thermal expansion matter for bearings?',a:'<p>Shaft expansion during operation creates axial forces if both bearings are fixed. Proper locating\/non-locating arrangement allows thermal growth without damage.<\/p>'},{q:'What is a locating\/non-locating arrangement?',a:'<p>One bearing is fixed axially (locating) while the other is free to slide axially (non-locating) to accommodate thermal expansion.<\/p>'},{q:'What is the CTE of steel?',a:'<p>Carbon steel: ~11.7 \u00d7 10\u207b\u2076 \/\u00b0C. Stainless steel: ~16. Aluminum: ~23. Cast iron: ~10.5.<\/p>'},{q:'How much expansion is typical?',a:'<p>A 1-meter steel shaft with \u0394T=50\u00b0C expands about 0.6 mm. This can generate enormous forces if both bearings are axially fixed.<\/p>'},{q:'What if shaft and housing are different materials?',a:'<p>Calculate differential expansion. Steel shaft in aluminum housing: housing expands more, potentially reducing interference fit. Compensate with tighter initial fit or C3 clearance bearings.<\/p>'}];\n    var fl=$('vc-faq-list');faqData.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>';});\n    fl.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open');});\n    function saveHistory(entry){var key='vc_history_'+SLUG;var arr=[];try{arr=JSON.parse(localStorage.getItem(key))||[];}catch(e){}entry._ts=new Date().toISOString();arr.unshift(entry);if(arr.length>10)arr=arr.slice(0,10);try{localStorage.setItem(key,JSON.stringify(arr));}catch(e){}}\n    function loadParams(){var p=new URLSearchParams(window.location.search);p.forEach(function(v,k){var el=$(k)||$('vc-'+k);if(el)el.value=v;});}\n    function renderFormulas(){try{katex.render('\\\\delta = L \\\\times \\\\alpha \\\\times \\\\Delta T \\\\quad [\\\\text{mm}]',$('vc-katex-1'),{displayMode:true,throwOnError:false});}catch(e){}}\n    function init(){loadParams();renderFormulas();calculate();}\n    if(document.readyState==='loading'){document.addEventListener('DOMContentLoaded',init);}else{init();}\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>\u09ac\u09bf\u09af\u09bc\u09be\u09b0\u09bf\u0982 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u0997\u09c1\u09b2\u09bf\u0995\u09c7 \u09aa\u09cd\u09b0\u09ad\u09be\u09ac\u09bf\u09a4 \u0995\u09b0\u09c7 \u098f\u09ae\u09a8 \u09b6\u09cd\u09af\u09be\u09ab\u09cd\u099f\/\u09b9\u09be\u0989\u099c\u09bf\u0982 \u09a4\u09be\u09aa\u09c0\u09af\u09bc \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0\u0964 \u09b6\u09cd\u09af\u09be\u09ab\u09cd\u099f \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af, \u0989\u09aa\u09be\u09a6\u09be\u09a8 CTE \u098f\u09ac\u0982 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09b0 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09c1\u09a8\u0964 \u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b6\u09c0\u09b2\/\u0985-\u09b8\u09cd\u09a5\u09be\u09a8\u09c0\u09af\u09bc\u0995\u09b0\u09a3 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6\u09bf\u0995\u09be \u09a6\u09c7\u0996\u09be\u09af\u09bc\u0964<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100030","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100030","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100030\/revisions"}],"predecessor-version":[{"id":100341,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100030\/revisions\/100341"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=100030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=100030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=100030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}