{"id":15869,"date":"2025-05-19T07:44:20","date_gmt":"2025-05-19T07:44:20","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=15869"},"modified":"2025-05-19T07:44:22","modified_gmt":"2025-05-19T07:44:22","slug":"90-crossed-helical-gear-pair-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/es\/90-crossed-helical-gear-pair-calculator\/","title":{"rendered":"Calculadora de pares de engranajes cil\u00edndricos cruzados a 90"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Descubra la eficiencia de nuestra calculadora de pares de engranajes helicoidales cruzados de 90\u00b0, dise\u00f1ada para simplificar sus tareas de dise\u00f1o y an\u00e1lisis de engranajes. Esta intuitiva herramienta permite a ingenieros y aficionados calcular con precisi\u00f3n los par\u00e1metros de los engranajes, garantizando un rendimiento y una precisi\u00f3n \u00f3ptimos. Con una interfaz intuitiva y resultados detallados, nuestra calculadora es perfecta tanto para comprobaciones r\u00e1pidas como para an\u00e1lisis exhaustivos. Mejore los resultados de sus proyectos integrando c\u00e1lculos precisos de engranajes desde el principio, ahorrando tiempo y eliminando errores. Explore las ventajas de la ingenier\u00eda precisa con nuestra calculadora de pares de engranajes helicoidales, desarrollada por expertos.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"717\" height=\"410\" src=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250519-153854-\u5df2\u7f16\u8f91.png\" loading=\"lazy\" alt=\"Calculadora de pares de engranajes cil\u00edndricos cruzados a 90\" class=\"wp-image-15870\" srcset=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250519-153854-\u5df2\u7f16\u8f91.png 717w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250519-153854-\u5df2\u7f16\u8f91-300x172.png 300w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250519-153854-\u5df2\u7f16\u8f91-100x57.png 100w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250519-153854-\u5df2\u7f16\u8f91-700x400.png 700w\" sizes=\"(max-width: 717px) 100vw, 717px\" \/><\/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 pares de engranajes helicoidales cruzados de 90\u00b0 | Herramienta profesional de dise\u00f1o de engranajes<\/title>\n    <style>\n        \/* Reset and base styles *\/\n        * {\n            margin: 0;\n            padding: 0;\n            box-sizing: border-box;\n        }\n\n        body {\n            font-family: inherit;\n            line-height: 1.6;\n            color: #333;\n        }\n\n        .calculator-container {\n            max-width: 1200px;\n            margin: 0 auto;\n            padding: 20px;\n        }\n\n        \/* Parameter explanation section *\/\n        .parameter-section {\n            margin-bottom: 30px;\n        }\n\n        .parameter-section h2 {\n            color: #000;\n            margin-bottom: 15px;\n            font-size: 1.5em;\n        }\n\n        .parameter-grid {\n            display: grid;\n            grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n            gap: 15px;\n        }\n\n        .parameter-item {\n            background: #f8f9fa;\n            padding: 10px;\n            border-radius: 5px;\n        }\n\n        .parameter-item strong {\n            color: #000;\n        }\n\n        \/* Diagram section *\/\n        .diagram-section {\n            margin: 30px 0;\n            text-align: center;\n        }\n\n        .diagram-container {\n            position: relative;\n            max-width: 600px;\n            margin: 0 auto;\n            \/* Optional: Add border for visibility during development *\/\n            \/* border: 1px solid #ccc; *\/\n        }\n\n        .diagram-container svg {\n             width: 100%;\n            height: auto;\n            display: block; \/* Prevent extra space below the SVG *\/\n        }\n\n        \/* Calculator section *\/\n        .gear-section {\n            margin-bottom: 40px;\n            background: #fff;\n            padding: 20px;\n            border-radius: 8px;\n            box-shadow: 0 2px 10px rgba(0,0,0,0.1);\n        }\n\n        .gear-section h2 {\n            color: #000;\n            margin-bottom: 20px;\n            font-size: 1.5em;\n            border-bottom: 2px solid #007bff;\n            padding-bottom: 10px;\n        }\n\n        .input-grid {\n            display: grid;\n            grid-template-columns: repeat(auto-fit, minmax(200px, 1fr));\n            gap: 15px;\n        }\n\n        .input-group {\n            margin-bottom: 15px;\n        }\n\n        .input-group label {\n            display: block;\n            margin-bottom: 5px;\n            font-weight: 500;\n        }\n\n        .input-group input,\n        .input-group select {\n            width: 100%;\n            padding: 8px;\n            border: 1px solid #ddd;\n            border-radius: 4px;\n        }\n\n        .input-group span.unit {\n            margin-left: 5px;\n            font-weight: normal;\n            color: #555;\n        }\n\n        .calculate-btn {\n            background: #007bff;\n            color: white;\n            padding: 12px 24px;\n            border: none;\n            border-radius: 4px;\n            cursor: pointer;\n            width: 25%;\n            max-width: none;\n            font-size: 1.1em;\n            transition: background 0.3s;\n            margin: 10px auto;\n            display: block;\n        }\n\n        .calculate-btn:hover {\n            background: #0056b3;\n            color: white;\n        }\n\n        \/* Results section *\/\n        .results-section {\n            margin-top: 30px;\n            display: none;\n            border-top: 2px solid #eee;\n            padding-top: 20px;\n        }\n\n        .results-section.active {\n            display: block;\n        }\n\n         .results-section h3 {\n            color: #000;\n            margin-bottom: 15px;\n            font-size: 1.2em;\n        }\n\n\n        .result-item {\n            background: #e9ecef;\n            padding: 15px;\n            margin-bottom: 10px;\n            border-radius: 4px;\n            font-weight: 500;\n             color: #000; \/* Highlight color for results *\/\n             font-size: 1.1em;\n        }\n\n        .result-item span:first-child {\n            margin-right: 10px;\n        }\n\n         .result-grid {\n            display: grid;\n            grid-template-columns: repeat(auto-fit, minmax(280px, 1fr));\n            gap: 10px;\n        }\n\n\n        \/* Responsive design *\/\n        @media (max-width: 768px) {\n            .calculator-container {\n                padding: 10px;\n            }\n\n            .parameter-grid, .input-grid, .result-grid {\n                grid-template-columns: 1fr;\n            }\n        }\n    <\/style>\n<\/head>\n<body>\n    <div class=\"calculator-container\">\n        <!-- Parameter Explanation Section -->\n        <section class=\"parameter-section\">\n            <h2>Descripci\u00f3n del par\u00e1metro<\/h2>\n            <div class=\"parameter-grid\">\n                <div class=\"parameter-item\">\n                    <strong>M\u00f3dulo normal (mn):<\/strong> La unidad de tama\u00f1o b\u00e1sica del engranaje en el plano normal (mm).\n                <\/div>\n                 <div class=\"parameter-item\">\n                    <strong>\u00c1ngulo de presi\u00f3n (\u03b1n):<\/strong> El \u00e1ngulo de presi\u00f3n en el plano normal (grados).\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>N\u00famero de dientes (z):<\/strong> El n\u00famero total de dientes del engranaje.\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>\u00c1ngulo de h\u00e9lice (\u03b2):<\/strong> El \u00e1ngulo entre el eje del engranaje y la l\u00ednea de h\u00e9lice (grados).\n                <\/div>\n                 <div class=\"parameter-item\">\n                    <strong>Direcci\u00f3n de la h\u00e9lice:<\/strong> La direcci\u00f3n de la h\u00e9lice (izquierda\/derecha).\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>Coeficiente de Adenda Normal (ha*):<\/strong> Coeficiente para el c\u00e1lculo de la adenda.\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>Coeficiente de despeje (c*):<\/strong> Coeficiente para calcular el espacio libre.\n                <\/div>\n                 <div class=\"parameter-item\">\n                    <strong>\u00c1ngulo del eje (\u03a3):<\/strong> El \u00e1ngulo entre los ejes de los dos engranajes (para el par).\n                <\/div>\n                 <div class=\"parameter-item\">\n                    <strong>Relaci\u00f3n de transmisi\u00f3n (i):<\/strong> La relaci\u00f3n del n\u00famero de dientes (para el par).\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>Distancia central est\u00e1ndar (a):<\/strong> La distancia entre los ejes de los dos engranajes (para el par).\n                <\/div>\n            <\/div>\n        <\/section>\n\n        <!-- Pinion (Small Gear) Calculator -->\n        <section class=\"gear-section\">\n            <h2>Calculadora de pi\u00f1\u00f3n (engranaje peque\u00f1o)<\/h2>\n            <form id=\"pinionCalculator\" action=\"\">\n                <div class=\"input-grid\">\n                    <div class=\"input-group\">\n                        <label for=\"pinionNormalModule\">M\u00f3dulo normal (mn):<\/label>\n                        <input type=\"number\" id=\"pinionNormalModule\" step=\"0.01\" required>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"pinionPressureAngle\">\u00c1ngulo de presi\u00f3n (\u03b1n):<\/label>\n                        <input type=\"number\" id=\"pinionPressureAngle\" step=\"0.1\" required>\n                        <span class=\"unit\">grados<\/span>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"pinionTeeth\">N\u00famero de dientes (z):<\/label>\n                        <input type=\"number\" id=\"pinionTeeth\" required>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"pinionHelixAngle\">\u00c1ngulo de h\u00e9lice (\u03b2):<\/label>\n                        <input type=\"number\" id=\"pinionHelixAngle\" step=\"0.1\" required>\n                         <span class=\"unit\">grados<\/span>\n                    <\/div>\n                     <div class=\"input-group\">\n                        <label for=\"pinionHelixDirection\">Direcci\u00f3n de la h\u00e9lice:<\/label>\n                        <select id=\"pinionHelixDirection\" required>\n                            <option value=\"Right\">Bien<\/option>\n                            <option value=\"Left\">Izquierda<\/option>\n                        <\/select>\n                    <\/div>\n                     <div class=\"input-group\">\n                        <label for=\"pinionAddendumCoefficient\">Coeficiente de Adenda Normal (ha*):<\/label>\n                        <input type=\"number\" id=\"pinionAddendumCoefficient\" step=\"0.01\" value=\"1.0\" required>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"pinionClearanceCoefficient\">Coeficiente de despeje (c*):<\/label>\n                        <input type=\"number\" id=\"pinionClearanceCoefficient\" step=\"0.01\" value=\"0.25\" required>\n                    <\/div>\n                <\/div>\n                <button type=\"submit\" class=\"calculate-btn\">Calcule<\/button>\n            <input type=\"hidden\" name=\"trp-form-language\" value=\"es\"\/><\/form>\n\n            <div class=\"results-section\" id=\"pinionResults\">\n                <h3>Resultados del c\u00e1lculo del pi\u00f1\u00f3n<\/h3>\n                <div class=\"result-grid\">\n                    <div class=\"result-item\">\n                        <span>cos \u03b2: <\/span>\n                        <span id=\"pinionCosBeta\">&#8211;<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>M\u00f3dulo transversal (mt): <\/span>\n                        <span id=\"pinionTransverseModule\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>N\u00famero equivalente de dientes (zv): <\/span>\n                        <span id=\"pinionEquivalentTeeth\">&#8211;<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>Di\u00e1metro de paso (d): <\/span>\n                        <span id=\"pinionPitchDiameter\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Coeficiente de Adenda Transversal (ha*_t): <\/span>\n                        <span id=\"pinionTransverseAddendumCoefficient\">&#8211;<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>Adenda (ha): <\/span>\n                        <span id=\"pinionAddendum\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>Dedendum (hf): <\/span>\n                        <span id=\"pinionDedendum\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Profundidad total (h): <\/span>\n                        <span id=\"pinionWholeDepth\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Di\u00e1metro de la punta (da): <\/span>\n                        <span id=\"pinionTipDiameter\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Di\u00e1metro de la ra\u00edz (gl): <\/span>\n                        <span id=\"pinionRootDiameter\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>\u00c1ngulo del eje (\u03a3): <\/span>\n                        <span id=\"pinionShaftAngle\">Requiere entrada de par de engranajes<\/span>\n                         <span class=\"unit\">grados<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Relaci\u00f3n de transmisi\u00f3n (i): <\/span>\n                        <span id=\"pinionGearRatio\">Requiere entrada de par de engranajes<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Distancia central est\u00e1ndar (a): <\/span>\n                        <span id=\"pinionCenterDistance\">Requiere entrada de par de engranajes<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                <\/div>\n            <\/div>\n        <\/section>\n\n        <!-- Gear (Large Gear) Calculator -->\n        <section class=\"gear-section\">\n            <h2>Calculadora de engranajes (engranajes grandes)<\/h2>\n            <form id=\"gearCalculator\" action=\"\">\n                <div class=\"input-grid\">\n                   <div class=\"input-group\">\n                        <label for=\"gearNormalModule\">M\u00f3dulo normal (mn):<\/label>\n                        <input type=\"number\" id=\"gearNormalModule\" step=\"0.01\" required>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"gearPressureAngle\">\u00c1ngulo de presi\u00f3n (\u03b1n):<\/label>\n                        <input type=\"number\" id=\"gearPressureAngle\" step=\"0.1\" required>\n                         <span class=\"unit\">grados<\/span>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"gearTeeth\">N\u00famero de dientes (z):<\/label>\n                        <input type=\"number\" id=\"gearTeeth\" required>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"gearHelixAngle\">\u00c1ngulo de h\u00e9lice (\u03b2):<\/label>\n                        <input type=\"number\" id=\"gearHelixAngle\" step=\"0.1\" required>\n                         <span class=\"unit\">grados<\/span>\n                    <\/div>\n                     <div class=\"input-group\">\n                        <label for=\"gearHelixDirection\">Direcci\u00f3n de la h\u00e9lice:<\/label>\n                        <select id=\"gearHelixDirection\" required>\n                            <option value=\"Right\">Bien<\/option>\n                            <option value=\"Left\">Izquierda<\/option>\n                        <\/select>\n                    <\/div>\n                     <div class=\"input-group\">\n                        <label for=\"gearAddendumCoefficient\">Coeficiente de Adenda Normal (ha*):<\/label>\n                        <input type=\"number\" id=\"gearAddendumCoefficient\" step=\"0.01\" value=\"1.0\" required>\n                    <\/div>\n                    <div class=\"input-group\">\n                        <label for=\"gearClearanceCoefficient\">Coeficiente de despeje (c*):<\/label>\n                        <input type=\"number\" id=\"gearClearanceCoefficient\" step=\"0.01\" value=\"0.25\" required>\n                    <\/div>\n                <\/div>\n                <button type=\"submit\" class=\"calculate-btn\">Calcule<\/button>\n            <input type=\"hidden\" name=\"trp-form-language\" value=\"es\"\/><\/form>\n\n            <div class=\"results-section\" id=\"gearResults\">\n                <h3>Resultados del c\u00e1lculo de engranajes<\/h3>\n                <div class=\"result-grid\">\n                     <div class=\"result-item\">\n                        <span>cos \u03b2: <\/span>\n                        <span id=\"gearCosBeta\">&#8211;<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>M\u00f3dulo transversal (mt): <\/span>\n                        <span id=\"gearTransverseModule\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>N\u00famero equivalente de dientes (zv): <\/span>\n                        <span id=\"gearEquivalentTeeth\">&#8211;<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>Di\u00e1metro de paso (d): <\/span>\n                        <span id=\"gearPitchDiameter\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Coeficiente de Adenda Transversal (ha*_t): <\/span>\n                        <span id=\"gearTransverseAddendumCoefficient\">&#8211;<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>Adenda (ha): <\/span>\n                        <span id=\"gearAddendum\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                    <div class=\"result-item\">\n                        <span>Dedendum (hf): <\/span>\n                        <span id=\"gearDedendum\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Profundidad total (h): <\/span>\n                        <span id=\"gearWholeDepth\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Di\u00e1metro de la punta (da): <\/span>\n                        <span id=\"gearTipDiameter\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Di\u00e1metro de la ra\u00edz (gl): <\/span>\n                        <span id=\"gearRootDiameter\">&#8211;<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>\u00c1ngulo del eje (\u03a3): <\/span>\n                        <span id=\"gearShaftAngle\">Requiere entrada de par de engranajes<\/span>\n                         <span class=\"unit\">grados<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Relaci\u00f3n de transmisi\u00f3n (i): <\/span>\n                        <span id=\"gearGearRatio\">Requiere entrada de par de engranajes<\/span>\n                    <\/div>\n                     <div class=\"result-item\">\n                        <span>Distancia central est\u00e1ndar (a): <\/span>\n                        <span id=\"gearCenterDistance\">Requiere entrada de par de engranajes<\/span>\n                         <span class=\"unit\">mm<\/span>\n                    <\/div>\n                <\/div>\n            <\/div>\n        <\/section>\n    <\/div>\n\n    <script>\n        \/\/ Use a constant for Pi as requested\n        const PI = 3.141592654;\n\n        \/\/ Pinion Calculator\n        document.getElementById('pinionCalculator').addEventListener('submit', function(e) {\n            e.preventDefault();\n            \n            \/\/ Get input values\n            const mn = parseFloat(document.getElementById('pinionNormalModule').value);\n            const alpha_n_deg = parseFloat(document.getElementById('pinionPressureAngle').value);\n            const z = parseInt(document.getElementById('pinionTeeth').value);\n            const beta_deg = parseFloat(document.getElementById('pinionHelixAngle').value);\n            const ha_star = parseFloat(document.getElementById('pinionAddendumCoefficient').value);\n            const c_star = parseFloat(document.getElementById('pinionClearanceCoefficient').value);\n            const helixDirection = document.getElementById('pinionHelixDirection').value;\n\n\n            \/\/ Convert angles to radians\n            const alpha_n_rad = alpha_n_deg * PI \/ 180;\n            const beta_rad = beta_deg * PI \/ 180;\n\n            \/\/ Calculate results based on international standards (common formulas)\n            const cos_beta = Math.cos(beta_rad);\n            const mt = mn \/ cos_beta;\n            const d = mt * z;\n\n             \/\/ Equivalent Number of Teeth (zv)\n            const zv = z \/ Math.pow(cos_beta, 3);\n\n             \/\/ Transverse Pressure Angle (alpha_t)\n            const alpha_t_rad = Math.atan(Math.tan(alpha_n_rad) \/ cos_beta);\n            const db = d * Math.cos(alpha_t_rad);\n\n            \/\/ Addendum (ha) - using normal addendum coefficient\n            const ha = ha_star * mn;\n\n            \/\/ Dedendum (hf) - using normal addendum coefficient and clearance coefficient\n            const hf = (ha_star + c_star) * mn;\n\n            \/\/ Whole Depth (h)\n            const h = ha + hf;\n\n             \/\/ Tip Diameter (da)\n            const da = d + 2 * ha;\n\n            \/\/ Root Diameter (df)\n            const df = d - 2 * hf;\n\n             \/\/ Transverse Addendum Coefficient (ha*_t)\n            const ha_star_t = ha_star * cos_beta;\n\n\n            \/\/ Display results\n            document.getElementById('pinionCosBeta').textContent = cos_beta.toFixed(4);\n            document.getElementById('pinionTransverseModule').textContent = mt.toFixed(2);\n            document.getElementById('pinionEquivalentTeeth').textContent = zv.toFixed(2);\n            document.getElementById('pinionPitchDiameter').textContent = d.toFixed(2);\n            document.getElementById('pinionTransverseAddendumCoefficient').textContent = ha_star_t.toFixed(2);\n            document.getElementById('pinionAddendum').textContent = ha.toFixed(2);\n            document.getElementById('pinionDedendum').textContent = hf.toFixed(2);\n            document.getElementById('pinionWholeDepth').textContent = h.toFixed(2);\n            document.getElementById('pinionTipDiameter').textContent = da.toFixed(2);\n            document.getElementById('pinionRootDiameter').textContent = df.toFixed(2);\n\n            \/\/ Show results section\n            document.getElementById('pinionResults').classList.add('active');\n        });\n\n        \/\/ Gear (Large Gear) Calculator\n        document.getElementById('gearCalculator').addEventListener('submit', function(e) {\n            e.preventDefault();\n            \n             \/\/ Get input values\n            const mn = parseFloat(document.getElementById('gearNormalModule').value);\n            const alpha_n_deg = parseFloat(document.getElementById('gearPressureAngle').value);\n            const z = parseInt(document.getElementById('gearTeeth').value);\n            const beta_deg = parseFloat(document.getElementById('gearHelixAngle').value);\n            const ha_star = parseFloat(document.getElementById('gearAddendumCoefficient').value);\n            const c_star = parseFloat(document.getElementById('gearClearanceCoefficient').value);\n            const helixDirection = document.getElementById('gearHelixDirection').value;\n\n            \/\/ Convert angles to radians\n            const alpha_n_rad = alpha_n_deg * PI \/ 180;\n            const beta_rad = beta_deg * PI \/ 180;\n\n            \/\/ Calculate results based on international standards (common formulas)\n            const cos_beta = Math.cos(beta_rad);\n            const mt = mn \/ cos_beta;\n            const d = mt * z;\n\n            \/\/ Equivalent Number of Teeth (zv)\n            const zv = z \/ Math.pow(cos_beta, 3);\n\n             \/\/ Transverse Pressure Angle (alpha_t)\n            const alpha_t_rad = Math.atan(Math.tan(alpha_n_rad) \/ cos_beta);\n            const db = d * Math.cos(alpha_t_rad);\n\n            \/\/ Addendum (ha) - using normal addendum coefficient\n            const ha = ha_star * mn;\n\n            \/\/ Dedendum (hf) - using normal addendum coefficient and clearance coefficient\n            const hf = (ha_star + c_star) * mn;\n\n             \/\/ Whole Depth (h)\n            const h = ha + hf;\n\n            \/\/ Tip Diameter (da)\n            const da = d + 2 * ha;\n\n            \/\/ Root Diameter (df)\n            const df = d - 2 * hf;\n\n             \/\/ Transverse Addendum Coefficient (ha*_t)\n            const ha_star_t = ha_star * cos_beta;\n\n\n            \/\/ Display results\n            document.getElementById('gearCosBeta').textContent = cos_beta.toFixed(4);\n            document.getElementById('gearTransverseModule').textContent = mt.toFixed(2);\n             document.getElementById('gearEquivalentTeeth').textContent = zv.toFixed(2);\n            document.getElementById('gearPitchDiameter').textContent = d.toFixed(2);\n             document.getElementById('gearTransverseAddendumCoefficient').textContent = ha_star_t.toFixed(2);\n            document.getElementById('gearAddendum').textContent = ha.toFixed(2);\n            document.getElementById('gearDedendum').textContent = hf.toFixed(2);\n            document.getElementById('gearWholeDepth').textContent = h.toFixed(2);\n            document.getElementById('gearTipDiameter').textContent = da.toFixed(2);\n            document.getElementById('gearRootDiameter').textContent = df.toFixed(2);\n\n\n            \/\/ Show results section\n            document.getElementById('gearResults').classList.add('active');\n        });\n    <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Discover the efficiency of our 90\u00b0 Crossed Helical Gear Pair Calculator, designed to simplify your gear design and analysis tasks. This intuitive tool allows engineers&#8230;<\/p>","protected":false},"author":2,"featured_media":15871,"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":[3436],"tags":[3398,3673,3674],"class_list":["post-15869","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gear-calculator","tag-engineering-tools","tag-gear-calculator","tag-helical-gears","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/90\u00b0-Crossed-Helical-Gear-Pair-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/posts\/15869","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/comments?post=15869"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/posts\/15869\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/media\/15871"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/media?parent=15869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/categories?post=15869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/es\/wp-json\/wp\/v2\/tags?post=15869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}