{"id":100050,"date":"2026-02-15T20:09:23","date_gmt":"2026-02-15T20:09:23","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100050"},"modified":"2026-07-11T22:40:30","modified_gmt":"2026-07-11T22:40:30","slug":"cardan-shaft-unbalance","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/lv\/calculators\/cardan-shaft-unbalance\/","title":{"rendered":"Rigid-Rotor Residual-Unbalance Arithmetic | User-Supplied G"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Rigid-Rotor Balance-Quality Arithmetic\",\"description\":\"Convert a user-supplied balance quality grade, rotor mass and maximum service speed into specific and total permissible residual-unbalance arithmetic. No grade or correction-plane allocation is selected.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/cardan-shaft-unbalance\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"dateModified\":\"2026-07-11\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"Does this calculator choose a G grade for a driveshaft?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. G must come from the applicable product specification, contract or qualified engineering decision.\"}},{\"@type\":\"Question\",\"name\":\"Can total permissible unbalance be divided equally between two planes?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Not generally. ISO 21940-11 includes allocation to tolerance planes; use the exact rotor geometry, support and applicable licensed procedure.\"}},{\"@type\":\"Question\",\"name\":\"Does ISO 21940-11 apply to every driveshaft?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. It applies to rotors with rigid behaviour. Flexible-behaviour rotors are addressed by ISO 21940-12, and specialised product requirements may govern.\"}}]}<\/script>\r\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\":\"Rigid-Rotor Balance Arithmetic\",\"item\":\"https:\/\/vibromera.eu\/calculators\/cardan-shaft-unbalance\/\"}]}<\/script>\r\n<link rel=\"preconnect\" 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.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>\r\n<div class=\"vc-calculator\" id=\"vc-rigid-balance\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">User-supplied ISO input arithmetic<\/p><h1 class=\"vc-header-title\">Rigid-Rotor Balance-Quality Arithmetic<\/h1><p class=\"vc-header-subtitle\">Evaluate specific and total permissible residual unbalance from a user-supplied G grade, rotor mass and maximum service speed. The page does not choose a driveshaft grade or allocate tolerance planes.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">ISO 21940-11:2016\/Amd1:2022<\/span><span class=\"vc-badge\">Rigid behaviour only<\/span><span class=\"vc-badge\">No plane split<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-form-grid\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass\">Rotor assembly mass m <span class=\"vc-label-hint\">(kg)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-mass\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-speed\">Maximum service speed n <span class=\"vc-label-hint\">(rpm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-speed\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-grade\">Specified balance quality grade G <span class=\"vc-label-hint\">(mm\/s)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-grade\" inputmode=\"decimal\"><\/div><\/div><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Applicability gate:<\/strong> use this arithmetic only after confirming rigid rotor behaviour over the relevant speed range and obtaining G from the applicable specification. Include the complete as-balanced assembly and use the standard&#8217;s definitions of maximum service speed and tolerance planes.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Unallocated arithmetic result<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div><div class=\"vc-result-grid\"><div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Total permissible residual-unbalance magnitude Uper<\/div><div class=\"vc-rcard-value\" id=\"vc-r-total\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Specific permissible residual unbalance eper<\/div><div class=\"vc-rcard-value\" id=\"vc-r-specific\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Angular speed \u03c9<\/div><div class=\"vc-rcard-value\" id=\"vc-r-omega\">\u2014<\/div><\/div><\/div><p id=\"vc-r-note\" style=\"margin:0;color:var(--vc-ink-secondary)\"><\/p><\/div><\/div>\r\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\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Equation and ISO scope<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><h3>Dimensionally equivalent forms<\/h3><div class=\"vc-formula-box\">\u03c9 = 2\u03c0n\/60; &nbsp; eper [\u03bcm] = 1000G\/\u03c9; &nbsp; Uper [g\u00b7mm] = m [kg]\u00b7eper [\u03bcm]<\/div><p>The last numerical equality follows because kg\u00b7\u03bcm equals g\u00b7mm. This page performs only that conversion and does not reproduce the normative G-grade table or tolerance-plane allocation.<\/p><h3>ISO family boundary<\/h3><p><a href=\"https:\/\/www.iso.org\/standard\/54074.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-11:2016 with Amendment 1:2022<\/a> establishes procedures and tolerances for rotors with rigid behaviour, including the necessary number of correction planes, allocation to tolerance planes and balancing-process errors. Its current ISO status is published and under systematic review. It explicitly excludes flexible-behaviour rotors.<\/p><p><a href=\"https:\/\/www.iso.org\/standard\/50429.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-12:2016<\/a>, confirmed in 2025, addresses flexible-behaviour rotors and is not itself intended as a universal acceptance specification. <a href=\"https:\/\/www.iso.org\/standard\/56561.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-13:2012<\/a> addresses criteria and safeguards for in-situ balancing of medium and large rotors; a generic webpage cannot authorize balancing a driveshaft in a vehicle.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>No driveshaft prescription:<\/strong> verify assembly definition, universal\/CV joints, phasing, runout, support\/bearing conditions, flexible behaviour, balancing speed\/procedure, correction locations, measurement uncertainty, product\/OEM limits and guards. Do not divide Uper equally between planes unless the applicable allocation procedure justifies it.<\/p><\/div><\/div><\/div><\/div>\r\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\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Unallocated rigid-rotor arithmetic only; not a grade, plane or in-situ balancing prescription. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(i){return document.getElementById(i)}function p(raw){var s=String(raw).trim().replace(\/\\s+\/g,'');if(!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;var n=Number(s.replace(',','.'));return Number.isFinite(n)&&n>0?n:NaN}function f(n){return n.toFixed(6).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}function calc(){var m=p($('vc-mass').value),n=p($('vc-speed').value),G=p($('vc-grade').value);if(![m,n,G].every(Number.isFinite)){$('vc-results').classList.remove('vc-visible');return}var w=2*Math.PI*n\/60,e=1000*G\/w,U=m*e;$('vc-r-total').innerHTML=f(U)+' <span class=\"vc-rcard-unit\">g\u00b7mm<\/span>';$('vc-r-specific').innerHTML=f(e)+' <span class=\"vc-rcard-unit\">\u03bcm<\/span>';$('vc-r-omega').innerHTML=f(w)+' <span class=\"vc-rcard-unit\">rad\/s<\/span>';$('vc-r-note').textContent='Total magnitude is not allocated to correction\/tolerance planes and is not an acceptance verdict.';$('vc-results').classList.add('vc-visible');var u=new URL(location);u.searchParams.set('rotor_assembly_mass_kg',m);u.searchParams.set('maximum_service_speed_rpm',n);u.searchParams.set('specified_grade_mm_per_s',G);history.replaceState(null,'',u.toString())}$('vc-form').addEventListener('input',calc);$('vc-form').addEventListener('change',calc);$('vc-copy-btn').addEventListener('click',function(){if(navigator.clipboard)navigator.clipboard.writeText($('vc-results').innerText)});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});var q=[['Does this choose a driveshaft G grade?','No. Enter a grade established by the applicable product specification or qualified engineering decision.'],['Can I split Uper equally between two planes?','Not generally. Use the exact ISO tolerance-plane allocation for the rotor geometry.'],['Can I balance any shaft in the vehicle?','No. In-situ balancing requires applicability, instrumentation and safety safeguards; product\/OEM procedures govern.']];var l=$('vc-faq-list');q.forEach(function(v){l.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\">'+v[0]+'<\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\"><p>'+v[1]+'<\/p><\/div><\/div><\/div>'});l.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open')});var z=new URLSearchParams(location.search),map={rotor_assembly_mass_kg:'vc-mass',maximum_service_speed_rpm:'vc-speed',specified_grade_mm_per_s:'vc-grade'};Object.keys(map).forEach(function(k){if(z.has(k))$(map[k]).value=z.get(k)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Convert a user-supplied balance quality grade, rotor mass and maximum service speed into unallocated specific and total residual-unbalance arithmetic; rigid behaviour only.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100050","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/calculator\/100050","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/calculator\/100050\/revisions"}],"predecessor-version":[{"id":102341,"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/calculator\/100050\/revisions\/102341"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/media?parent=100050"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/categories?post=100050"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/lv\/wp-json\/wp\/v2\/tags?post=100050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}