{"id":16010,"date":"2025-06-03T08:53:50","date_gmt":"2025-06-03T08:53:50","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=16010"},"modified":"2025-06-03T08:58:44","modified_gmt":"2025-06-03T08:58:44","slug":"gear-rack-transmission-geometric-size-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/pt\/gear-rack-transmission-geometric-size-calculator\/","title":{"rendered":"Calculadora de tamanho geom\u00e9trico de transmiss\u00e3o de cremalheira"},"content":{"rendered":"<p>Descubra a Calculadora de Dimens\u00f5es Geom\u00e9tricas de Transmiss\u00e3o de Cremalheiras definitiva, projetada para otimizar seus projetos de engenharia. Esta poderosa ferramenta online fornece c\u00e1lculos precisos para dimens\u00f5es de cremalheiras, otimizando o desempenho e a efici\u00eancia. Seja trabalhando com m\u00e1quinas industriais ou aplica\u00e7\u00f5es automotivas, nossa calculadora oferece uma interface amig\u00e1vel e resultados precisos, economizando tempo e minimizando erros. Aprimore seu planejamento de projetos com precis\u00e3o e confiabilidade especializadas. Visite nossa p\u00e1gina para experimentar uma integra\u00e7\u00e3o perfeita entre tecnologia e excel\u00eancia em engenharia.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"443\" height=\"254\" src=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/06\/\u56fe\u72471-\u5df2\u7f16\u8f91.png\" loading=\"lazy\" alt=\"Calculadora de tamanho geom\u00e9trico de transmiss\u00e3o de cremalheira\" class=\"wp-image-16011\" srcset=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/06\/\u56fe\u72471-\u5df2\u7f16\u8f91.png 443w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/06\/\u56fe\u72471-\u5df2\u7f16\u8f91-300x172.png 300w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/06\/\u56fe\u72471-\u5df2\u7f16\u8f91-100x57.png 100w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/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 Tamanho Geom\u00e9trico de Transmiss\u00e3o de Cremalheira | Ferramenta de Engenharia Profissional<\/title>\n    <meta name=\"description\" content=\"Calcule as dimens\u00f5es geom\u00e9tricas da transmiss\u00e3o por cremalheira com nossa calculadora profissional de engenharia. Obtenha resultados precisos para m\u00f3dulo, \u00e2ngulo de press\u00e3o e outros par\u00e2metros.\">\n    <style>\n        :root {\n            --primary-color: #2c3e50;\n            --secondary-color: #3498db;\n            --accent-color: #e74c3c;\n            --text-color: #333;\n            --background-color: #f8f9fa;\n            --border-radius: 8px;\n            --box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n        }\n\n        * {\n            box-sizing: border-box;\n            margin: 0;\n            padding: 0;\n        }\n\n        body {\n            font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, \"Helvetica Neue\", Arial, sans-serif;\n            line-height: 1.6;\n            color: var(--text-color);\n            background-color: var(--background-color);\n            padding: 0; \/* Ensure no padding on body when embedded *\/\n        }\n\n        #gear-rack-calculator-widget-wrapper {\n            \/* Optional: add some padding if needed, or rely on .calculator-container's padding *\/\n            padding: 0;\n        }\n\n        #gear-rack-calculator-widget-wrapper .calculator-container {\n            max-width: 1200px;\n            margin: 0 auto;\n            padding: 20px; \/* Keep inner padding *\/\n            background: white;\n            border-radius: var(--border-radius);\n            box-shadow: var(--box-shadow);\n        }\n\n        #gear-rack-calculator-widget-wrapper h1,\n        #gear-rack-calculator-widget-wrapper h2,\n        #gear-rack-calculator-widget-wrapper h3 {\n            color: #000;\n            margin-bottom: 1rem;\n        }\n\n        #gear-rack-calculator-widget-wrapper .section {\n            margin-bottom: 2rem;\n            padding: 1rem;\n            background: white;\n            border-radius: var(--border-radius);\n        }\n\n        #gear-rack-calculator-widget-wrapper .parameters-grid {\n            display: grid;\n            grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n            gap: 1rem;\n            margin-bottom: 1rem;\n        }\n\n        #gear-rack-calculator-widget-wrapper .parameter-item {\n            padding: 0.5rem;\n            background: #f8f9fa;\n            border-radius: var(--border-radius);\n        }\n\n        #gear-rack-calculator-widget-wrapper .diagram-container {\n            text-align: center;\n            margin: 2rem 0;\n        }\n\n        #gear-rack-calculator-widget-wrapper .calculator-form {\n            display: grid;\n            grid-template-columns: repeat(2, 1fr);\n            gap: 1rem;\n            margin-bottom: 1rem;\n        }\n\n        #gear-rack-calculator-widget-wrapper .form-group {\n            margin-bottom: 1rem;\n        }\n\n        #gear-rack-calculator-widget-wrapper label {\n            display: block;\n            margin-bottom: 0.5rem;\n            font-weight: 500;\n        }\n\n        #gear-rack-calculator-widget-wrapper input,\n        #gear-rack-calculator-widget-wrapper select {\n            width: 100%;\n            padding: 0.5rem;\n            border: 1px solid #ddd;\n            border-radius: var(--border-radius);\n            font-size: 1rem;\n        }\n\n        #gear-rack-calculator-widget-wrapper .calculate-btn {\n            background-color: var(--secondary-color);\n            color: white;\n            padding: 1rem 2rem;\n            border: none;\n            border-radius: var(--border-radius);\n            cursor: pointer;\n            font-size: 1.1rem;\n            transition: background-color 0.3s;\n            grid-column: 1 \/ -1;\n            width: 25%;\n            margin: 0 auto;\n        }\n\n        #gear-rack-calculator-widget-wrapper .calculate-btn:hover {\n            background-color: #2980b9;\n            color: white;\n        }\n\n        #gear-rack-calculator-widget-wrapper .results {\n            display: none;\n            margin-top: 2rem;\n            padding: 1rem;\n            background: #e8f4f8;\n            border-radius: var(--border-radius);\n        }\n\n        #gear-rack-calculator-widget-wrapper .result-item {\n            margin-bottom: 0.5rem;\n            font-weight: 500;\n        }\n\n        @media (max-width: 768px) {\n            #gear-rack-calculator-widget-wrapper .calculator-container {\n                padding: 10px;\n            }\n\n            #gear-rack-calculator-widget-wrapper .calculator-form {\n                grid-template-columns: 1fr;\n            }\n        }\n\n        \/* SVG Diagram Styles *\/\n        #gear-rack-calculator-widget-wrapper .gear-rack-diagram {\n            max-width: 100%;\n            height: auto;\n        }\n\n        #gear-rack-calculator-widget-wrapper .diagram-label {\n            font-size: 0.8rem;\n            fill: var(--text-color);\n        }\n    <\/style>\n<\/head>\n<body>\n    <!-- Wrapper for isolation -->\n    <div id=\"gear-rack-calculator-widget-wrapper\">\n        <div class=\"calculator-container\">\n            <!-- Parameters Explanation Section -->\n            <section class=\"section\">\n                <h2>Explica\u00e7\u00e3o dos par\u00e2metros<\/h2>\n                <div class=\"parameters-grid\">\n                    <div class=\"parameter-item\">\n                        <h3>M\u00f3dulo (m)<\/h3>\n                        <p>O m\u00f3dulo \u00e9 a raz\u00e3o entre o di\u00e2metro primitivo e o n\u00famero de dentes. Ele determina o tamanho dos dentes da engrenagem.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>\u00c2ngulo de press\u00e3o (\u03b1)<\/h3>\n                        <p>\u00c2ngulo entre a linha de a\u00e7\u00e3o e a tangente ao c\u00edrculo primitivo. Os valores padr\u00e3o s\u00e3o 20\u00b0 ou 25\u00b0.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>N\u00famero de dentes (z)<\/h3>\n                        <p>N\u00famero total de dentes da engrenagem. Isso afeta a rela\u00e7\u00e3o de transmiss\u00e3o e o tamanho geral.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>Adendo (ha)<\/h3>\n                        <p>A dist\u00e2ncia radial do c\u00edrculo primitivo at\u00e9 o topo do dente.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>Coeficiente de Adendo (ha*)<\/h3>\n                        <p>Um valor padr\u00e3o (normalmente 1,0) usado no c\u00e1lculo do adendo.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>Coeficiente de folga (c*)<\/h3>\n                        <p>Um valor padr\u00e3o (normalmente 0,25) usado no c\u00e1lculo do dedendo.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>Coeficiente de modifica\u00e7\u00e3o (x)<\/h3>\n                        <p>Usado para engrenagens modificadas; afeta a espessura dos dentes e a mudan\u00e7a de perfil.<\/p>\n                    <\/div>\n                    <div class=\"parameter-item\">\n                        <h3>Velocidade da engrenagem (RPM)<\/h3>\n                        <p>Velocidade de rota\u00e7\u00e3o da engrenagem em revolu\u00e7\u00f5es por minuto.<\/p>\n                    <\/div>\n                <\/div>\n            <\/section>\n\n            <!-- Calculator Section -->\n            <section class=\"section\">\n                <h2>Calculadora<\/h2>\n                <form id=\"calculatorForm\" class=\"calculator-form\" action=\"\">\n                    <div class=\"form-group\">\n                        <label for=\"module\">M\u00f3dulo (m):<\/label>\n                        <input type=\"number\" id=\"module\" step=\"0.1\" min=\"0.1\" required>\n                    <\/div>\n                    <div class=\"form-group\">\n                        <label for=\"pressureAngle\">\u00c2ngulo de press\u00e3o (\u03b1):<\/label>\n                        <input type=\"number\" id=\"pressureAngle\" step=\"0.1\" min=\"0\" required>\n                    <\/div>\n                    <div class=\"form-group\">\n                        <label for=\"teeth\">N\u00famero de dentes (z):<\/label>\n                        <input type=\"number\" id=\"teeth\" min=\"1\" required>\n                    <\/div>\n                    <div class=\"form-group\">\n                        <label for=\"addendumCoefficient\">Coeficiente de Adendo (ha*):<\/label>\n                        <input type=\"number\" id=\"addendumCoefficient\" step=\"0.01\" required>\n                    <\/div>\n                    <div class=\"form-group\">\n                        <label for=\"clearanceCoefficient\">Coeficiente de folga (c*):<\/label>\n                        <input type=\"number\" id=\"clearanceCoefficient\" step=\"0.01\" required>\n                    <\/div>\n                    <div class=\"form-group\">\n                        <label for=\"modificationCoefficient\">Coeficiente de modifica\u00e7\u00e3o (x):<\/label>\n                        <input type=\"number\" id=\"modificationCoefficient\" step=\"0.01\" required>\n                    <\/div>\n                    <div class=\"form-group\">\n                        <label for=\"gearSpeed\">Velocidade da engrenagem (RPM):<\/label>\n                        <input type=\"number\" id=\"gearSpeed\" min=\"0\" required>\n                    <\/div>\n                    <button type=\"submit\" class=\"calculate-btn\">Calcular<\/button>\n                <input type=\"hidden\" name=\"trp-form-language\" value=\"pt\"\/><\/form>\n            <\/section>\n\n            <!-- Results Section -->\n            <section id=\"results\" class=\"results\">\n                <h2>Resultados do c\u00e1lculo<\/h2>\n                <div class=\"result-item\">Di\u00e2metro do passo: <span id=\"pitchDiameter\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Adenda: <span id=\"addendum\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Dedendo: <span id=\"dedendum\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Altura do dente: <span id=\"toothHeight\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Di\u00e2metro do c\u00edrculo base: <span id=\"baseCircle\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Di\u00e2metro externo: <span id=\"outsideDiameter\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Di\u00e2metro da raiz: <span id=\"rootDiameter\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Passo circular: <span id=\"circularPitch\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">Dist\u00e2ncia central (linha de base da engrenagem at\u00e9 a cremalheira): <span id=\"centerDistance\"><\/span> mil\u00edmetros<\/div>\n                <div class=\"result-item\">\u00c2ngulo de press\u00e3o no c\u00edrculo da ponta: <span id=\"tipPressureAngle\"><\/span> \u00b0<\/div>\n            <\/section>\n        <\/div>\n    <\/div> <!-- End of #gear-rack-calculator-widget-wrapper -->\n\n    <script>\n        document.getElementById('calculatorForm').addEventListener('submit', function(e) {\n            e.preventDefault();\n            \n            \/\/ Get input values\n            const module = parseFloat(document.getElementById('module').value);\n            const pressureAngle = parseFloat(document.getElementById('pressureAngle').value);\n            const teeth = parseInt(document.getElementById('teeth').value);\n            const addendumCoefficient = parseFloat(document.getElementById('addendumCoefficient').value);\n            const clearanceCoefficient = parseFloat(document.getElementById('clearanceCoefficient').value);\n            const modificationCoefficient = parseFloat(document.getElementById('modificationCoefficient').value);\n            const gearSpeed = parseFloat(document.getElementById('gearSpeed').value);\n\n            \/\/ Calculate results\n            const pitchDiameter = module * teeth;\n            const addendum = module * addendumCoefficient;\n            const dedendum = module * (addendumCoefficient + clearanceCoefficient);\n            const toothHeight = addendum + dedendum;\n            const baseCircle = pitchDiameter * Math.cos(pressureAngle * Math.PI \/ 180);\n            const outsideDiameter = pitchDiameter + 2 * addendum;\n\n            \/\/ New calculations\n            const rootDiameter = pitchDiameter - 2 * dedendum;\n            const circularPitch = Math.PI * module;\n            const centerDistance = pitchDiameter \/ 2; \/\/ Distance from gear center to rack base line is pitch radius\n\n            \/\/ Calculate pressure angle at tip circle using involute function (approximate)\n            \/\/ inv(alpha_tip) = inv(alpha) + 2 * tan(alpha) * (Da - D) \/ (D * cos(alpha))\n            \/\/ inv(alpha) = tan(alpha_rad) - alpha_rad\n            const alphaRad = pressureAngle * Math.PI \/ 180;\n            const invAlpha = Math.tan(alphaRad) - alphaRad;\n            const invAlphaTip = invAlpha + 2 * Math.tan(alphaRad) * (outsideDiameter - pitchDiameter) \/ (pitchDiameter * Math.cos(alphaRad));\n\n            \/\/ To find alpha_tip from invAlphaTip, we need to solve the inverse involute function.\n            \/\/ This is complex and typically requires iteration or lookup.\n            \/\/ For simplicity and common practical cases, the pressure angle at the tip is often close to the standard pressure angle for racks.\n            \/\/ However, to be more accurate to the request, I will implement an iterative approach to find alpha_tip.\n            let alphaTipRad = alphaRad; \/\/ Start iteration from standard pressure angle\n            for (let i = 0; i < 10; i++) { \/\/ Iterate a few times for approximation\n                alphaTipRad = alphaTipRad - (Math.tan(alphaTipRad) - alphaTipRad - invAlphaTip) \/ (Math.tan(alphaTipRad)**2);\n            }\n            const tipPressureAngle = alphaTipRad * 180 \/ Math.PI;\n\n            \/\/ Display results\n            document.getElementById('pitchDiameter').textContent = pitchDiameter.toFixed(2);\n            document.getElementById('addendum').textContent = addendum.toFixed(2);\n            document.getElementById('dedendum').textContent = dedendum.toFixed(2);\n            document.getElementById('toothHeight').textContent = toothHeight.toFixed(2);\n            document.getElementById('baseCircle').textContent = baseCircle.toFixed(2);\n            document.getElementById('outsideDiameter').textContent = outsideDiameter.toFixed(2);\n\n            \/\/ Display new results\n            document.getElementById('rootDiameter').textContent = rootDiameter.toFixed(2);\n            document.getElementById('circularPitch').textContent = circularPitch.toFixed(2);\n            document.getElementById('centerDistance').textContent = centerDistance.toFixed(2);\n            document.getElementById('tipPressureAngle').textContent = tipPressureAngle.toFixed(2);\n\n            \/\/ Show results section\n            document.getElementById('results').style.display = 'block';\n        });\n    <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Discover the ultimate Gear Rack Transmission Geometric Size Calculator designed to streamline your engineering projects. This powerful online tool provides precise calculations for gear rack&#8230;<\/p>","protected":false},"author":2,"featured_media":16012,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3436],"tags":[3421,3709,3708],"class_list":["post-16010","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gear-calculator","tag-engineering-tool","tag-gear-racks","tag-size-calculator","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/06\/Gear-Rack-Transmission-Geometric-Size-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/posts\/16010","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=16010"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/posts\/16010\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/media\/16012"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/media?parent=16010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/categories?post=16010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/pt\/wp-json\/wp\/v2\/tags?post=16010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}