{"id":100214,"date":"2026-02-15T20:27:46","date_gmt":"2026-02-15T20:27:46","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100214"},"modified":"2026-04-05T15:34:56","modified_gmt":"2026-04-05T15:34:56","slug":"rubber-mount-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/sw\/calculators\/rubber-mount-calculator\/","title":{"rendered":"Kikokotoo cha Kizuia Mpira \u2014 Ugumu wa Shore A hadi Ugumu wa Mwili"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Rubber Mount Calculator\",\"alternateName\":[\"Rubber Isolator Calculator\",\"Elastomer Mount Calculator\",\"Shore Hardness Stiffness Calculator\"],\"description\":\"Free online calculator for rubber vibration isolator properties. Convert Shore A hardness and dimensions to stiffness, natural frequency, and static deflection.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/rubber-mount-calculator\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any (Web Browser)\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-02-14\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true,\"featureList\":[\"Shore A hardness 30-90\",\"Young's modulus estimation\",\"Compression stiffness\",\"Natural frequency\",\"Static deflection\",\"Auto-calculation\"],\"keywords\":\"rubber mount, shore hardness, stiffness, natural frequency, elastomer, vibration isolator\"}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"How is Young's modulus estimated from Shore A hardness?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Several empirical formulas exist. A common approximation: E \u2248 0.0981\u00d7(56+7.62336\u00d7S)\/(0.137505\u00d7(254\u22122.54\u00d7S)) MPa, where S is Shore A hardness. This gives E from ~1 MPa at Shore 30A to ~15+ MPa at Shore 90A.\"}},\n{\"@type\":\"Question\",\"name\":\"What Shore A hardness should I choose?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Shore 40-50A: Soft mounts for sensitive equipment, good isolation. Shore 55-65A: General purpose, most common. Shore 70-80A: Stiff mounts for heavy loads, less isolation. Shore 85-90A: Very stiff, minimal deflection.\"}},\n{\"@type\":\"Question\",\"name\":\"What is the shape factor and why does it matter?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Shape factor S = loaded area \/ force-free area. For a cylinder: S = D\/(4h). Higher shape factors increase effective stiffness because rubber is nearly incompressible. The compression modulus Ec = E\u00d7(1 + 2\u03baS\u00b2), where \u03ba depends on the rubber compound.\"}},\n{\"@type\":\"Question\",\"name\":\"Can I use this for shear mounts?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"This calculator assumes compression loading. For shear-loaded mounts, the shear stiffness is approximately k_shear = GA\/h where G \u2248 E\/3 for rubber (Poisson's ratio ~0.5). Shear stiffness is typically 3-5\u00d7 lower than compression stiffness.\"}},\n{\"@type\":\"Question\",\"name\":\"How does temperature affect rubber mount properties?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Rubber stiffens significantly at low temperatures. Natural rubber (NR) works well from -40\u00b0C to +70\u00b0C. Neoprene (CR): -30\u00b0C to +100\u00b0C. Silicone: -60\u00b0C to +200\u00b0C. Stiffness can increase 2-5\u00d7 below -20\u00b0C.\"}}\n]}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[\n{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},\n{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},\n{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Rubber Mount Calculator\",\"item\":\"https:\/\/vibromera.eu\/calculators\/rubber-mount-calculator\/\"}\n]}\n<\/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 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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}}\n<\/style>\n\n<div class=\"vc-calculator\" id=\"vc-rubber-mount\">\n\n<header class=\"vc-header\">\n    <p class=\"vc-header-eyebrow\">Free Engineering Tool #065<\/p>\n    <h1 class=\"vc-header-title\">Rubber Mount Calculator<\/h1>\n    <p class=\"vc-header-subtitle\">Calculate rubber vibration isolator stiffness from Shore A hardness (30\u201390A), mount dimensions, and static load. Determine natural frequency and static deflection.<\/p>\n    <div class=\"vc-badges\"><span class=\"vc-badge\">Shore 30A\u201390A<\/span><span class=\"vc-badge\">Compression Stiffness<\/span><span class=\"vc-badge\">Auto-Calc<\/span><\/div>\n<\/header>\n\n<div class=\"vc-card\">\n    <div class=\"vc-unit-bar\">\n        <button type=\"button\" class=\"vc-unit-btn vc-active\" data-system=\"metric\">Metric (mm, kg, N\/mm)<\/button>\n        <button type=\"button\" class=\"vc-unit-btn\" data-system=\"imperial\">Imperial (in, lb, lbf\/in)<\/button>\n    <\/div>\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-shore\">Shore A Hardness <span class=\"vc-label-hint\">(30\u201390)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-shore\" inputmode=\"decimal\" step=\"1\" min=\"30\" max=\"90\" placeholder=\"e.g. 55\" value=\"55\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-dia\">Mount Diameter <span class=\"vc-label-hint\" id=\"vc-dia-unit\">(mm)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-dia\" inputmode=\"decimal\" step=\"any\" min=\"1\" placeholder=\"e.g. 75\" value=\"75\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-height\">Mount Height <span class=\"vc-label-hint\" id=\"vc-h-unit\">(mm)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-height\" inputmode=\"decimal\" step=\"any\" min=\"1\" placeholder=\"e.g. 40\" value=\"40\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-load\">Static Load <span class=\"vc-label-hint\" id=\"vc-load-unit\">(kg)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-load\" inputmode=\"decimal\" step=\"any\" min=\"0.1\" placeholder=\"e.g. 100\" value=\"100\">\n            <\/div>\n        <\/div>\n        <div class=\"vc-presets\">\n            <div class=\"vc-presets-label\">Quick presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-sh=\"40\" data-d=\"50\" data-h=\"30\" data-l=\"50\">Soft \u00d850\u00d730 Shore 40A<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-sh=\"55\" data-d=\"75\" data-h=\"40\" data-l=\"100\">Medium \u00d875\u00d740 Shore 55A<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-sh=\"70\" data-d=\"100\" data-h=\"50\" data-l=\"250\">Stiff \u00d8100\u00d750 Shore 70A<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-sh=\"60\" data-d=\"150\" data-h=\"75\" data-l=\"500\">Heavy \u00d8150\u00d775 Shore 60A<\/button>\n        <\/div>\n    <\/form>\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\">\n            <h2 class=\"vc-results-title\">Results<\/h2>\n            <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>\n        <\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\">\n                <div class=\"vc-rcard-label\">Axial Compression Stiffness<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-k\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Young&#8217;s Modulus E (estimated)<\/div><div class=\"vc-rcard-value\" id=\"vc-r-E\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Natural Frequency<\/div><div class=\"vc-rcard-value\" id=\"vc-r-fn\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Static Deflection<\/div><div class=\"vc-rcard-value\" id=\"vc-r-defl\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Shape Factor<\/div><div class=\"vc-rcard-value\" id=\"vc-r-sf\">\u2014<\/div><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\">\n    <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>Shore A to Young&#8217;s Modulus<\/h3>\n        <p>Empirical relation (Gent, 1958):<\/p>\n        <div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n        <h3>Shape Factor<\/h3>\n        <div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div>\n        <h3>Compression Stiffness<\/h3>\n        <p>Accounting for shape factor (rubber is nearly incompressible, \u03ba \u2248 0.93):<\/p>\n        <div class=\"vc-formula-box\" id=\"vc-katex-3\"><\/div>\n        <h3>Natural Frequency<\/h3>\n        <div class=\"vc-formula-box\" id=\"vc-katex-4\"><\/div>\n        <table class=\"vc-table\">\n            <thead><tr><th>Shore A<\/th><th>E (approx. MPa)<\/th><th>Typical Use<\/th><\/tr><\/thead>\n            <tbody>\n                <tr><td>30A<\/td><td>~0.9<\/td><td>Very soft pads<\/td><\/tr>\n                <tr><td>40A<\/td><td>~1.5<\/td><td>Soft isolation<\/td><\/tr>\n                <tr><td>55A<\/td><td>~3.0<\/td><td>General purpose<\/td><\/tr>\n                <tr><td>70A<\/td><td>~6.2<\/td><td>Stiff mounts<\/td><\/tr>\n                <tr><td>90A<\/td><td>~18<\/td><td>Very stiff<\/td><\/tr>\n            <\/tbody>\n        <\/table>\n        <div class=\"vc-warning-box\"><p style=\"margin:0;font-size:14px;color:var(--vc-ink-secondary);\"><strong>\u26a0\ufe0f Note:<\/strong> Shore-to-modulus conversion is approximate. Actual stiffness depends on rubber compound, temperature, and loading conditions. Always verify with manufacturer data.<\/p><\/div>\n    <\/div><\/div>\n<\/div>\n\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><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\">\n    <a class=\"vc-related-link\" href=\"\/calculators\/vibration-mount-selection\/\">Vibration Mount Selection<\/a>\n    <a class=\"vc-related-link\" href=\"\/calculators\/machine-vibration-isolation\/\">Machine Vibration Isolation<\/a>\n    <a class=\"vc-related-link\" href=\"\/calculators\/damping-ratio-calculator\/\">Damping Ratio Calculator<\/a>\n    <a class=\"vc-related-link\" href=\"\/calculators\/compression-spring-design\/\">Compression Spring Design<\/a>\n<\/div><\/div><\/div><\/div>\n\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><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 \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional field balancing instruments and software. Used in 50+ countries.<\/div><a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div>\n\n<footer class=\"vc-footer\"><p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p><p style=\"font-size:12px;margin-top:4px;\">Rubber mount properties. Last updated: February 2025<\/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\n<\/div>\n\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n    'use strict';\n    var SLUG='rubber-mount-calculator', unitSystem='metric';\n    function $(id){return document.getElementById(id)}\n    function fmt(n,d){if(isNaN(n)||!isFinite(n))return'\u2014';var f=n.toFixed(d===undefined?2:d);return f.replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}\n\n    \/\/ Shore A -> Young's modulus (MPa) using Gent's approximation\n    function shoreToE(s) {\n        return 0.0981 * (56 + 7.62336 * s) \/ (0.137505 * (254 - 2.54 * s));\n    }\n\n    function calculate(){\n        var shore=parseFloat($('vc-shore').value);\n        var dia=parseFloat($('vc-dia').value);\n        var h=parseFloat($('vc-height').value);\n        var load=parseFloat($('vc-load').value);\n        if(!shore||shore<30||shore>90||!dia||dia<=0||!h||h<=0||!load||load<=0){$('vc-results').classList.remove('vc-visible');return}\n\n        var diaMm=unitSystem==='imperial'?dia*25.4:dia;\n        var hMm=unitSystem==='imperial'?h*25.4:h;\n        var loadKg=unitSystem==='imperial'?load*0.453592:load;\n\n        var E=shoreToE(shore); 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This gives approximately 1 MPa at Shore 30A up to 18 MPa at Shore 90A.<\/p>'},\n        {q:'What Shore A hardness should I choose?',a:'<p>Shore 40\u201350A: soft, good isolation. Shore 55\u201365A: general purpose. Shore 70\u201380A: stiff, heavy loads. Shore 85\u201390A: very stiff, minimal deflection.<\/p>'},\n        {q:'What is the shape factor and why does it matter?',a:'<p>Shape factor S = D\/(4h) for cylindrical mounts. Higher S increases effective stiffness because rubber is nearly incompressible. The compression modulus E<sub>c<\/sub> = E(1 + 2\u03baS\u00b2).<\/p>'},\n        {q:'Can I use this for shear mounts?',a:'<p>This calculator assumes compression. For shear mounts, k<sub>shear<\/sub> \u2248 GA\/h where G \u2248 E\/3. Shear stiffness is typically 3\u20135\u00d7 lower than compression.<\/p>'},\n        {q:'How does temperature affect rubber mount properties?',a:'<p>Rubber stiffens at low temperatures. NR: \u221240 to +70\u00b0C. Neoprene: \u221230 to +100\u00b0C. Silicone: \u221260 to +200\u00b0C. Stiffness can increase 2\u20135\u00d7 below \u221220\u00b0C.<\/p>'}\n    ];\n    var faqList=$('vc-faq-list');faqData.forEach(function(faq){faqList.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>'+faq.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\">'+faq.a+'<\/div><\/div><\/div>'});\n    faqList.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open')});\n\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\n    function renderFormulas(){try{\n        katex.render('E \\\\approx \\\\frac{0.0981(56 + 7.62336 \\\\cdot S)}{0.137505(254 - 2.54 \\\\cdot S)} \\\\quad [\\\\text{MPa}]',$('vc-katex-1'),{displayMode:true,throwOnError:false});\n        katex.render('S_f = \\\\frac{D}{4h}',$('vc-katex-2'),{displayMode:true,throwOnError:false});\n        katex.render('k = \\\\frac{E_c \\\\cdot A}{h}, \\\\quad E_c = E(1 + 2\\\\kappa S_f^2)',$('vc-katex-3'),{displayMode:true,throwOnError:false});\n        katex.render('f_n = \\\\frac{1}{2\\\\pi}\\\\sqrt{\\\\frac{k}{m}} \\\\quad [\\\\text{Hz}]',$('vc-katex-4'),{displayMode:true,throwOnError:false});\n    }catch(e){}}\n\n    function init(){try{var saved=localStorage.getItem('vc_units');if(saved==='imperial'){unitSystem='imperial';unitBtns.forEach(function(b){b.classList.toggle('vc-active',b.getAttribute('data-system')==='imperial')})}}catch(e){}loadParams();renderFormulas();calculate()}\n    if(document.readyState==='loading')document.addEventListener('DOMContentLoaded',init);else init();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Kikokotoo cha bure mtandaoni cha kizuia mtetemo cha mpira. Ingiza ugumu wa Shore A, vipimo vya kizuia, na mzigo tuli ili kukokotoa ugumu, mzunguko wa asili, na mchepuko tuli wa vifaa vya kutengwa na mtetemo vya mpira.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100214","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/calculator\/100214","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":3,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/calculator\/100214\/revisions"}],"predecessor-version":[{"id":100912,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/calculator\/100214\/revisions\/100912"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/media?parent=100214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/categories?post=100214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/tags?post=100214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}