{"id":15495,"date":"2025-04-17T00:24:58","date_gmt":"2025-04-17T00:24:58","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=15495"},"modified":"2025-04-17T00:25:01","modified_gmt":"2025-04-17T00:25:01","slug":"shaft-stiffness-and-force-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/pt\/shaft-stiffness-and-force-calculator\/","title":{"rendered":"Calculadora de rigidez e for\u00e7a do eixo"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Descubra a engenharia de precis\u00e3o com nossa Calculadora de Rigidez e For\u00e7a de Eixo. Projetada para profissionais da \u00e1rea mec\u00e2nica, esta ferramenta ajuda a determinar a rigidez do eixo e a for\u00e7a necess\u00e1ria para diversas aplica\u00e7\u00f5es. Aprimore seu processo de projeto e an\u00e1lise, garantindo desempenho ideal e reduzindo potenciais falhas mec\u00e2nicas. F\u00e1cil de usar e altamente precisa, nossa calculadora \u00e9 um recurso essencial para engenheiros e projetistas que buscam maior confiabilidade e efici\u00eancia em seus projetos. Mantenha-se \u00e0 frente em sua \u00e1rea integrando ferramentas computacionais avan\u00e7adas ao seu fluxo de trabalho. Explore nossa calculadora hoje mesmo!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"503\" src=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003-1024x503.png\" loading=\"lazy\" alt=\"Calculadora de rigidez e for\u00e7a do eixo\" class=\"wp-image-15497\" srcset=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003-1024x503.png 1024w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003-300x147.png 300w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003-768x377.png 768w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003-100x49.png 100w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003-700x344.png 700w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/8e7dd64d-89be-4809-abfb-84b75c92d003.png 1091w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n    <meta charset=\"UTF-8\">\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n    <title>Calculadora de rigidez do eixo<\/title>\n    <style>\n        \/* \u4f7f\u7528\u7279\u5b9a\u7684\u7c7b\u540d\u524d\u7f00\uff0c\u907f\u514d\u6837\u5f0f\u51b2\u7a81 *\/\n        .shaft-calculator {\n            max-width: 1200px;\n            margin: 0 auto;\n            padding: 20px;\n            font-family: inherit;\n            position: relative;\n            z-index: 1;\n        }\n\n        .shaft-calculator .section {\n            margin-bottom: 30px;\n            position: relative;\n        }\n\n        .shaft-calculator .parameters-grid {\n            display: grid;\n            grid-template-columns: repeat(3, 1fr);\n            gap: 20px;\n            margin-bottom: 20px;\n        }\n\n        .shaft-calculator .parameter-explanation {\n            background: #f8f9fa;\n            padding: 15px;\n            border-radius: 4px;\n            margin-bottom: 15px;\n        }\n\n        .shaft-calculator .parameter-explanation h3 {\n            color: #333;\n            margin: 0 0 10px 0;\n            font-size: 16px;\n        }\n\n        .shaft-calculator .parameter-explanation p {\n            margin: 5px 0;\n            color: #666;\n            font-size: 14px;\n        }\n\n        .shaft-calculator .unit-info {\n            color: #007bff !important;\n            font-size: 13px !important;\n        }\n\n        .shaft-calculator .calculator-inputs {\n            display: grid;\n            grid-template-columns: repeat(3, 1fr);\n            gap: 20px;\n            margin-bottom: 20px;\n        }\n\n        .shaft-calculator .input-group {\n            display: flex;\n            flex-direction: column;\n            gap: 5px;\n        }\n\n        .shaft-calculator .input-group label {\n            font-weight: 500;\n            color: #333;\n        }\n\n        .shaft-calculator .input-group input,\n        .shaft-calculator .input-group select {\n            padding: 8px;\n            border: 1px solid #ddd;\n            border-radius: 4px;\n            font-size: 14px;\n            width: 100%;\n            box-sizing: border-box;\n        }\n\n        .shaft-calculator .input-group input:focus,\n        .shaft-calculator .input-group select:focus {\n            border-color: #007bff;\n            outline: none;\n            box-shadow: 0 0 0 2px rgba(0,123,255,0.25);\n        }\n\n        .shaft-calculator .section h2 {\n            color: #333;\n            margin-bottom: 20px;\n            padding-bottom: 10px;\n            font-size: 1.5em;\n            font-weight: 600;\n        }\n\n        .shaft-calculator .calculate-btn {\n            background-color: #007bff;\n            color: white;\n            padding: 12px 24px;\n            border: none;\n            border-radius: 4px;\n            cursor: pointer;\n            font-size: 16px;\n            margin: 20px auto;\n            display: block;\n            min-width: 200px;\n            transition: background-color 0.3s;\n        }\n\n        .shaft-calculator .calculate-btn:hover {\n            background-color: #0056b3;\n            color: #ffffff;\n        }\n\n        .shaft-calculator .results {\n            display: none;\n            margin-top: 20px;\n            padding: 20px;\n            background-color: #f8f9fa;\n            border-radius: 4px;\n            box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n        }\n\n        .shaft-calculator .result-item {\n            margin: 10px 0;\n            font-size: 16px;\n            display: flex;\n            justify-content: space-between;\n            align-items: center;\n            padding: 12px;\n            border-bottom: 1px solid #eee;\n            background-color: #fff;\n        }\n\n        .shaft-calculator .result-label {\n            color: #333;\n            font-weight: 500;\n        }\n\n        .shaft-calculator .result-value-container {\n            display: flex;\n            align-items: center;\n            gap: 5px;\n        }\n\n        .shaft-calculator .result-value {\n            font-weight: bold;\n            color: #28a745;\n            font-size: 1.1em;\n        }\n\n        @media (max-width: 768px) {\n            .shaft-calculator .parameters-grid,\n            .shaft-calculator .calculator-inputs {\n                grid-template-columns: 1fr;\n            }\n        }\n    <\/style>\n<\/head>\n<body>\n    <div class=\"shaft-calculator\">\n        <!-- Parameters Explanation Section -->\n        <div class=\"section\">\n            <h2>Par\u00e2metros<\/h2>\n            <div class=\"parameters-grid\">\n                <div class=\"parameter-explanation\">\n                    <h3>For\u00e7a axial (Ft)<\/h3>\n                    <p>A for\u00e7a que atua ao longo do eixo do eixo<\/p>\n                    <p class=\"unit-info\">Unidade: N (Newton)<\/p>\n                <\/div>\n                <div class=\"parameter-explanation\">\n                    <h3>For\u00e7a Radial (Fr)<\/h3>\n                    <p>A for\u00e7a que atua perpendicularmente ao eixo do eixo<\/p>\n                    <p class=\"unit-info\">Unidade: N (Newton)<\/p>\n                <\/div>\n                <div class=\"parameter-explanation\">\n                    <h3>Di\u00e2metro do eixo (d)<\/h3>\n                    <p>O di\u00e2metro do eixo<\/p>\n                    <p class=\"unit-info\">Unidade: mm (mil\u00edmetro)<\/p>\n                <\/div>\n                <div class=\"parameter-explanation\">\n                    <h3>Dist\u00e2ncia (a)<\/h3>\n                    <p>A dist\u00e2ncia de uma extremidade ao primeiro ponto<\/p>\n                    <p class=\"unit-info\">Unidade: mm (mil\u00edmetro)<\/p>\n                <\/div>\n                <div class=\"parameter-explanation\">\n                    <h3>Dist\u00e2ncia (b)<\/h3>\n                    <p>A dist\u00e2ncia de uma extremidade ao segundo ponto<\/p>\n                    <p class=\"unit-info\">Unidade: mm (mil\u00edmetro)<\/p>\n                <\/div>\n                <div class=\"parameter-explanation\">\n                    <h3>Comprimento total (L)<\/h3>\n                    <p>O comprimento total do eixo<\/p>\n                    <p class=\"unit-info\">Unidade: mm (mil\u00edmetro)<\/p>\n                <\/div>\n                <div class=\"parameter-explanation\">\n                    <h3>Material<\/h3>\n                    <p>O material do eixo<\/p>\n                    <p class=\"unit-info\">Afeta o m\u00f3dulo de elasticidade (E)<\/p>\n                <\/div>\n            <\/div>\n        <\/div>\n\n        <!-- Calculator Section -->\n        <div class=\"section\">\n            <h2>Calculadora<\/h2>\n            <div class=\"calculator-inputs\">\n                <div class=\"input-group\">\n                    <label for=\"ft\">P\u00e9s (N)<\/label>\n                    <input type=\"number\" id=\"ft\" step=\"0.1\" placeholder=\"Insira a for\u00e7a axial\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"fr\">Fr (N)<\/label>\n                    <input type=\"number\" id=\"fr\" step=\"0.1\" placeholder=\"Insira a for\u00e7a radial\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"diameter\">d (mm)<\/label>\n                    <input type=\"number\" id=\"diameter\" step=\"0.1\" placeholder=\"Digite o di\u00e2metro\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"a\">um (mm)<\/label>\n                    <input type=\"number\" id=\"a\" step=\"0.1\" placeholder=\"Insira a dist\u00e2ncia a\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"b\">b (mm)<\/label>\n                    <input type=\"number\" id=\"b\" step=\"0.1\" placeholder=\"Insira a dist\u00e2ncia b\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"length\">C (mm)<\/label>\n                    <input type=\"number\" id=\"length\" step=\"0.1\" placeholder=\"Insira o comprimento total\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"material\">Material<\/label>\n                    <select id=\"material\">\n                        <option value=\"steel\">A\u00e7o (E = 210 GPa)<\/option>\n                        <option value=\"aluminum\">Alum\u00ednio (E = 70 GPa)<\/option>\n                        <option value=\"brass\">Lat\u00e3o (E = 100 GPa)<\/option>\n                    <\/select>\n                <\/div>\n            <\/div>\n            <div class=\"button-container\">\n                <button class=\"calculate-btn\" onclick=\"calculateResults()\">Calcular<\/button>\n            <\/div>\n        <\/div>\n\n        <!-- Results Section -->\n        <div class=\"section results\" id=\"results\">\n            <h2>Resultados<\/h2>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Momento de In\u00e9rcia (I):<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"momentOfInertia\">0<\/span>\n                    <span class=\"unit\">mm\u2074<\/span>\n                <\/div>\n            <\/div>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Velocidade Cr\u00edtica (fc):<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"criticalSpeed\">0<\/span>\n                    <span class=\"unit\">Hz<\/span>\n                <\/div>\n            <\/div>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Frequ\u00eancia Natural (fg):<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"naturalFreq\">0<\/span>\n                    <span class=\"unit\">Hz<\/span>\n                <\/div>\n            <\/div>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Velocidade cr\u00edtica ao quadrado (fc\u00b2):<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"criticalSpeedSquared\">0<\/span>\n                    <span class=\"unit\">Hz\u00b2<\/span>\n                <\/div>\n            <\/div>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Frequ\u00eancia Natural Quadrada (fg\u00b2):<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"naturalFreqSquared\">0<\/span>\n                    <span class=\"unit\">Hz\u00b2<\/span>\n                <\/div>\n            <\/div>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Raz\u00e3o de frequ\u00eancia (f):<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"freqRatio\">0<\/span>\n                <\/div>\n            <\/div>\n            <div class=\"result-item\">\n                <div class=\"result-label\">Coeficiente:<\/div>\n                <div class=\"result-value-container\">\n                    <span class=\"result-value\" id=\"coefficient\">0<\/span>\n                <\/div>\n            <\/div>\n        <\/div>\n    <\/div>\n\n    <script>\n        function calculateResults() {\n            \/\/ Get input values\n            const ft = parseFloat(document.getElementById('ft').value) || 0;\n            const fr = parseFloat(document.getElementById('fr').value) || 0;\n            const diameter = parseFloat(document.getElementById('diameter').value) || 0;\n            const a = parseFloat(document.getElementById('a').value) || 0;\n            const b = parseFloat(document.getElementById('b').value) || 0;\n            const length = parseFloat(document.getElementById('length').value) || 0;\n            const material = document.getElementById('material').value;\n\n            \/\/ Material properties (MPa)\n            const E = material === 'steel' ? 210000 : (material === 'aluminum' ? 70000 : 100000);\n\n            \/\/ Calculate moment of inertia (mm\u2074)\n            const I = (Math.PI * Math.pow(diameter, 4)) \/ 64;\n\n            \/\/ Calculate cross-sectional area (mm\u00b2)\n            const A = (Math.PI * Math.pow(diameter, 2)) \/ 4;\n\n            \/\/ Calculate critical speed (Hz)\n            const criticalSpeed = Math.sqrt((E * I) \/ (A * length * length * length)) \/ (2 * Math.PI);\n\n            \/\/ Calculate natural frequency (Hz)\n            const naturalFreq = criticalSpeed * Math.sqrt(1 - (fr \/ (E * A)));\n\n            \/\/ Calculate squares\n            const criticalSpeedSquared = Math.pow(criticalSpeed, 2);\n            const naturalFreqSquared = Math.pow(naturalFreq, 2);\n\n            \/\/ Calculate frequency ratio\n            const freqRatio = naturalFreq \/ criticalSpeed;\n\n            \/\/ Calculate coefficient (assuming it's based on the ratio)\n            const coefficient = 1 \/ (1 - Math.pow(freqRatio, 2));\n\n            \/\/ Display results\n            document.getElementById('momentOfInertia').textContent = I.toFixed(2);\n            document.getElementById('criticalSpeed').textContent = criticalSpeed.toFixed(2);\n            document.getElementById('naturalFreq').textContent = naturalFreq.toFixed(2);\n            document.getElementById('criticalSpeedSquared').textContent = criticalSpeedSquared.toFixed(2);\n            document.getElementById('naturalFreqSquared').textContent = naturalFreqSquared.toFixed(2);\n            document.getElementById('freqRatio').textContent = freqRatio.toFixed(4);\n            document.getElementById('coefficient').textContent = coefficient.toFixed(4);\n\n            document.getElementById('results').style.display = 'block';\n        }\n    <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Discover precision engineering with our Shaft Stiffness and Force Calculator. Designed for mechanical professionals, this tool helps you determine shaft rigidity and required force for&#8230;<\/p>","protected":false},"author":2,"featured_media":15498,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[3424],"tags":[3546,3545,3544],"class_list":["post-15495","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-keyway-pin-shaft-calculator","tag-engineering-design-tool","tag-mechanical-force-calculation","tag-shaft-rigidity-analysis","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/04\/Shaft-Stiffness-and-Force-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/posts\/15495","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/comments?post=15495"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/posts\/15495\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/media\/15498"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/media?parent=15495"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/categories?post=15495"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/tags?post=15495"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}