{"id":100070,"date":"2026-02-15T20:14:53","date_gmt":"2026-02-15T20:14:53","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100070"},"modified":"2026-07-12T00:33:52","modified_gmt":"2026-07-12T00:33:52","slug":"crusher-rotor-balance","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/fr\/calculators\/crusher-rotor-balance\/","title":{"rendered":"Crusher-Rotor Residual Unbalance | Allocated Limit"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Crusher-Rotor Allocated Residual-Unbalance Arithmetic\",\"description\":\"Convert an externally verified and already allocated crusher-rotor residual-unbalance limit into specific unbalance, correction mass, force and a bounded single-pair mass-difference check.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/crusher-rotor-balance\/\",\"applicationCategory\":\"Engineering 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16px;border:none;background:transparent;cursor:pointer;font-family:var(--vc-font);font-size:14px;font-weight:600;text-align:left;color:var(--vc-ink);transition:background 0.15s}\r\n.vc-faq-q:hover{background:var(--vc-surface-alt)}\r\n.vc-faq-chevron{width:16px;height:16px;color:var(--vc-ink-muted);transition:transform 0.3s;flex-shrink:0}\r\n.vc-faq-item.vc-open .vc-faq-chevron{transform:rotate(180deg)}\r\n.vc-faq-a{max-height:0;overflow:hidden;transition:max-height 0.3s ease}\r\n.vc-faq-item.vc-open .vc-faq-a{max-height:2000px}\r\n.vc-faq-a-inner{padding:0 16px 14px;font-size:14px;color:var(--vc-ink-secondary);line-height:1.65}\r\n.vc-faq-a-inner p{margin:0 0 8px}\r\n@media print{.vc-section-body{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-promo{display:none!important}}\r\n<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-crusher-u\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Allocated-limit arithmetic<\/p><h1 class=\"vc-header-title\">Crusher-Rotor Residual Unbalance<\/h1><p class=\"vc-header-subtitle\">Use a traceable residual-unbalance limit that has already been selected for the actual rotor behaviour and allocated to the stated tolerance\/correction plane. Optional inputs convert that limit without inventing a crusher balance grade.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">No automatic G grade<\/span><span class=\"vc-badge\">Allocation required<\/span><span class=\"vc-badge\">No bearing-life guess<\/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-U\">Allocated permissible residual unbalance U <span class=\"vc-label-hint\">(g\u00b7mm; \u22650)<\/span><\/label><input class=\"vc-input\" id=\"vc-U\" type=\"text\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass\">Actual balanced rotor mass m <span class=\"vc-label-hint\">(kg; optional, &gt;0)<\/span><\/label><input class=\"vc-input\" id=\"vc-mass\" type=\"text\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-speed\">Check speed n <span class=\"vc-label-hint\">(r\/min; optional, &gt;0)<\/span><\/label><input class=\"vc-input\" id=\"vc-speed\" type=\"text\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-corr-r\">Correction radius r<sub>c<\/sub> <span class=\"vc-label-hint\">(mm; optional, &gt;0)<\/span><\/label><input class=\"vc-input\" id=\"vc-corr-r\" type=\"text\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-element-r\">Opposed-element CG radius r<sub>e<\/sub> <span class=\"vc-label-hint\">(mm; optional, &gt;0)<\/span><\/label><input class=\"vc-input\" id=\"vc-element-r\" type=\"text\" inputmode=\"decimal\"><\/div><div class=\"vc-field vc-field-full\"><label class=\"vc-label\" for=\"vc-source\">Limit source, edition, rotor behaviour, plane and allocation basis<\/label><input class=\"vc-input\" id=\"vc-source\" type=\"text\" maxlength=\"300\"><\/div><\/div><p id=\"vc-error\" role=\"alert\" style=\"margin:.75rem 0 0;color:#b42318\"><\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Source gate:<\/strong> U must be the limit applicable to the stated measurement\/tolerance plane, not an unallocated total copied from a grade table. Confirm rigid versus flexible behaviour, operating\/balancing state, wear-element state, tooling and process errors.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Allocated-limit conversions<\/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\">Allocated permissible residual unbalance<\/div><div class=\"vc-rcard-value\" id=\"vc-r-U\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Specific residual unbalance<\/div><div class=\"vc-rcard-value\" id=\"vc-r-e\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Equivalent correction mass<\/div><div class=\"vc-rcard-value\" id=\"vc-r-cmass\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Rotating-force amplitude<\/div><div class=\"vc-rcard-value\" id=\"vc-r-force\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Angular velocity<\/div><div class=\"vc-rcard-value\" id=\"vc-r-omega\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Single opposed-pair mass-difference ceiling<\/div><div class=\"vc-rcard-value\" id=\"vc-r-pair\">Not calculated<\/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\">Equations and standards boundary<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><div class=\"vc-formula-box\">e [\u03bcm] = U [g\u00b7mm] \/ m [kg]<\/div><div class=\"vc-formula-box\">m<sub>c<\/sub> [g] = U\/r<sub>c<\/sub>; &nbsp; \u03c9=2\u03c0n\/60; &nbsp; F=U\u00b710<sup>\u22126<\/sup>\u03c9\u00b2<\/div><div class=\"vc-formula-box\">|\u0394m<sub>pair<\/sub>| [g] = U\/r<sub>e<\/sub> &nbsp; (one opposed pair only)<\/div><p>For two elements at the same radius and opposite angular positions, their net unbalance magnitude is |m<sub>1<\/sub>\u2212m<sub>2<\/sub>|r<sub>e<\/sub>. The displayed pair value is therefore a conservative ceiling only when the entire stated U budget is assigned to that one pair and other unbalance vectors are zero. It is not a general per-element tolerance and is never divided by the number of hammers or blow bars.<\/p><p><a href=\"https:\/\/www.iso.org\/standard\/54074.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-11:2016<\/a> with <a href=\"https:\/\/www.iso.org\/standard\/78116.html\" target=\"_blank\" rel=\"noopener\">Amd 1:2022<\/a> covers procedures and tolerances for rotors with rigid behaviour, including required correction planes, allocation to tolerance planes and balancing-process errors. <a href=\"https:\/\/www.iso.org\/standard\/50429.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-12:2016<\/a> addresses flexible behaviour and explicitly is not an acceptance specification for every rotor.<\/p><p>The old crusher-specific G6.3\/G16\/G40 table was not supported by an identified current standard clause or manufacturer specification and has been removed. Select and allocate U using the licensed applicable document and the actual rotor design; this page performs only transparent conversions.<\/p><p><a href=\"https:\/\/www.iso.org\/standard\/78311.html\" target=\"_blank\" rel=\"noopener\">ISO 20816-3:2022<\/a> provides in-situ vibration-evaluation guidance for listed industrial machine types and warns that machine-specific features may make numerical guidelines inappropriate. This page does not apply generic crusher bands such as 10, 18 or 28 mm\/s. The current ISO page also shows ISO 20816-3 is being revised.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>No bearing-life or safety claim:<\/strong> adding unbalance force directly to bearing dynamic rating C is not an ISO 281 life calculation. Bearing life requires the actual equivalent dynamic load, load direction\/distribution, bearing data, duty cycle and other factors. Field correction, welding and trial runs require an OEM-approved method, guarding, risk assessment and qualified personnel.<\/p><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Conversions from an externally verified allocated limit only; no automatic crusher grade or vibration alarm. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(i){return document.getElementById(i)}function raw(v){var s=String(v).trim().replace(\/\\s+\/g,'');if(!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;return Number(s.replace(',','.'))}function pos(v){var x=raw(v);return Number.isFinite(x)&&x>0?x:NaN}function nn(v){var x=raw(v);return Number.isFinite(x)&&x>=0?x:NaN}function f(x){return x.toFixed(9).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}function opt(id){var s=$(id).value.trim();return {raw:s,val:s===''?null:pos(s)}}function calc(){var U=nn($('vc-U').value),m=opt('vc-mass'),n=opt('vc-speed'),rc=opt('vc-corr-r'),re=opt('vc-element-r'),source=$('vc-source').value.trim(),any=Array.from(document.querySelectorAll('#vc-form input')).some(function(x){return x.value.trim()});if(!Number.isFinite(U)||(m.raw!==''&&!Number.isFinite(m.val))||(n.raw!==''&&!Number.isFinite(n.val))||(rc.raw!==''&&!Number.isFinite(rc.val))||(re.raw!==''&&!Number.isFinite(re.val))||!source){$('vc-error').textContent=any?'Enter U\u22650,optional values>0,and a traceable allocated-limit source\/scope.':'';$('vc-results').classList.remove('vc-visible');return}$('vc-error').textContent='';$('vc-r-U').textContent=f(U)+' g\u00b7mm';$('vc-r-e').textContent=m.val===null?'Not calculated':f(U\/m.val)+' \u03bcm';$('vc-r-cmass').textContent=rc.val===null?'Not calculated':f(U\/rc.val)+' g';$('vc-r-pair').textContent=re.val===null?'Not calculated':f(U\/re.val)+' g';if(n.val===null){$('vc-r-force').textContent='Not calculated';$('vc-r-omega').textContent='Not calculated'}else{var w=2*Math.PI*n.val\/60;$('vc-r-omega').textContent=f(w)+' rad\/s';$('vc-r-force').textContent=f(U*1e-6*w*w)+' N'}$('vc-r-note').textContent='Allocated-limit basis: '+source+' | No balance grade, vibration alarm or bearing-life criterion applied.';$('vc-results').classList.add('vc-visible');var u=new URL(location),v={allocated_unbalance_gmm:U,limit_source_scope:source},map=[[m,'rotor_mass_kg'],[n,'check_speed_rpm'],[rc,'correction_radius_mm'],[re,'element_cg_radius_mm']];map.forEach(function(q){if(q[0].val===null)u.searchParams.delete(q[1]);else v[q[1]]=q[0].val});Object.keys(v).forEach(function(q){u.searchParams.set(q,v[q])});history.replaceState(null,'',u.toString())}$('vc-form').addEventListener('input',calc);$('vc-copy-btn').addEventListener('click',function(){if(navigator.clipboard)navigator.clipboard.writeText($('vc-results').innerText)});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});var p=new URLSearchParams(location.search),map={allocated_unbalance_gmm:'vc-U',rotor_mass_kg:'vc-mass',check_speed_rpm:'vc-speed',correction_radius_mm:'vc-corr-r',element_cg_radius_mm:'vc-element-r',limit_source_scope:'vc-source'};Object.keys(map).forEach(function(q){if(p.has(q))$(map[q]).value=p.get(q)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Convert an externally verified and already allocated crusher-rotor residual-unbalance limit into specific unbalance, correction mass, force and a bounded opposed-pair check.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100070","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/calculator\/100070","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":3,"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/calculator\/100070\/revisions"}],"predecessor-version":[{"id":102360,"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/calculator\/100070\/revisions\/102360"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/media?parent=100070"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/categories?post=100070"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/fr\/wp-json\/wp\/v2\/tags?post=100070"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}