{"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\/ar\/90-crossed-helical-gear-pair-calculator\/","title":{"rendered":"\u062d\u0627\u0633\u0628\u0629 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633 \u0627\u0644\u062d\u0644\u0632\u0648\u0646\u064a\u0629 \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0628\u0632\u0627\u0648\u064a\u0629 90 \u062f\u0631\u062c\u0629"},"content":{"rendered":"

\u0627\u0643\u062a\u0634\u0641 \u0643\u0641\u0627\u0621\u0629 \u062d\u0627\u0633\u0628\u0629 \u0623\u0632\u0648\u0627\u062c \u0627\u0644\u062a\u0631\u0648\u0633 \u0627\u0644\u062d\u0644\u0632\u0648\u0646\u064a\u0629 \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0628\u0632\u0627\u0648\u064a\u0629 90 \u062f\u0631\u062c\u0629\u060c \u0627\u0644\u0645\u0635\u0645\u0645\u0629 \u0644\u062a\u0628\u0633\u064a\u0637 \u0645\u0647\u0627\u0645 \u062a\u0635\u0645\u064a\u0645 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0631\u0648\u0633. \u062a\u062a\u064a\u062d \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u0633\u0647\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0644\u0644\u0645\u0647\u0646\u062f\u0633\u064a\u0646 \u0648\u0627\u0644\u0647\u0648\u0627\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u062a\u0631\u0648\u0633 \u0628\u062f\u0642\u0629\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0627\u0644\u0623\u062f\u0627\u0621 \u0648\u0627\u0644\u062f\u0642\u0629 \u0627\u0644\u0623\u0645\u062b\u0644. \u0628\u0641\u0636\u0644 \u0648\u0627\u062c\u0647\u0629 \u0633\u0647\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u0646\u062a\u0627\u0626\u062c \u0645\u0641\u0635\u0644\u0629\u060c \u062a\u064f\u0639\u062f \u062d\u0627\u0633\u0628\u062a\u0646\u0627 \u0645\u062b\u0627\u0644\u064a\u0629 \u0644\u0644\u0641\u062d\u0648\u0635\u0627\u062a \u0627\u0644\u0633\u0631\u064a\u0639\u0629 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644\u0627\u062a \u0627\u0644\u0645\u062a\u0639\u0645\u0642\u0629. \u062d\u0633\u0651\u0646 \u0646\u062a\u0627\u0626\u062c \u0645\u0634\u0631\u0648\u0639\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062f\u0645\u062c \u062d\u0633\u0627\u0628\u0627\u062a \u0627\u0644\u062a\u0631\u0648\u0633 \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0645\u0633\u0628\u0642\u064b\u0627\u060c \u0645\u0645\u0627 \u064a\u0648\u0641\u0631 \u0627\u0644\u0648\u0642\u062a \u0648\u064a\u062c\u0646\u0628\u0643 \u0627\u0644\u0623\u062e\u0637\u0627\u0621. \u0627\u0633\u062a\u0643\u0634\u0641 \u0645\u0632\u0627\u064a\u0627 \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0645\u0639 \u062d\u0627\u0633\u0628\u0629 \u0623\u0632\u0648\u0627\u062c \u0627\u0644\u062a\u0631\u0648\u0633 \u0627\u0644\u062d\u0644\u0632\u0648\u0646\u064a\u0629 \u0627\u0644\u062a\u064a \u0637\u0648\u0631\u0647\u0627 \u062e\u0628\u0631\u0627\u0624\u0646\u0627.<\/p>\n\n\n

\n
\"\u062d\u0627\u0633\u0628\u0629<\/figure>\n<\/div>\n\n\n\n\n\n \n \n \u062d\u0627\u0633\u0628\u0629 \u0623\u0632\u0648\u0627\u062c \u0627\u0644\u062a\u0631\u0648\u0633 \u0627\u0644\u062d\u0644\u0632\u0648\u0646\u064a\u0629 \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0628\u0632\u0627\u0648\u064a\u0629 90 \u062f\u0631\u062c\u0629 | \u0623\u062f\u0627\u0629 \u062a\u0635\u0645\u064a\u0645 \u062a\u0631\u0648\u0633 \u0627\u062d\u062a\u0631\u0627\u0641\u064a\u0629<\/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>\u0648\u0635\u0641 \u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/h2>\n <div class=\"parameter-grid\">\n <div class=\"parameter-item\">\n <strong>\u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0639\u0627\u062f\u064a\u0629 (mn):<\/strong> \u0648\u062d\u062f\u0629 \u0627\u0644\u062d\u062c\u0645 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0631\u0633 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0639\u0627\u062f\u064a (\u0645\u0645).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0636\u063a\u0637 (\u03b1n):<\/strong> \u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0636\u063a\u0637 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0639\u0645\u0648\u062f\u064a (\u062f\u0631\u062c\u0627\u062a).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0639\u062f\u062f \u0627\u0644\u0623\u0633\u0646\u0627\u0646 (\u0632):<\/strong> \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a \u0644\u0644\u0623\u0633\u0646\u0627\u0646 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062a\u0631\u0633.\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062d\u0644\u0632\u0648\u0646 (\u03b2):<\/strong> \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0631\u0633 \u0648\u062e\u0637 \u0627\u0644\u062d\u0644\u0632\u0648\u0646 (\u062f\u0631\u062c\u0627\u062a).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062d\u0644\u0632\u0648\u0646:<\/strong> \u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062d\u0644\u0632\u0648\u0646 (\u064a\u0633\u0627\u0631\/\u064a\u0645\u064a\u0646).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0639\u0627\u062f\u064a (\u0647\u0643\u062a\u0627\u0631*):<\/strong> \u0645\u0639\u0627\u0645\u0644 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0644\u062d\u0642.\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u062e\u0644\u064a\u0635 (c*):<\/strong> \u0645\u0639\u0627\u0645\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0644\u0648\u0635.\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0639\u0645\u0648\u062f (\u03a3):<\/strong> \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0628\u064a\u0646 \u0645\u062d\u0648\u0631\u064a \u0627\u0644\u062a\u0631\u0633\u064a\u0646 (\u0644\u0644\u0632\u0648\u062c).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0646\u0633\u0628\u0629 \u0627\u0644\u062a\u0631\u0648\u0633 (i):<\/strong> \u0646\u0633\u0628\u0629 \u0639\u062f\u062f \u0627\u0644\u0623\u0633\u0646\u0627\u0646 (\u0644\u0644\u0632\u0648\u062c).\n <\/div>\n <div class=\"parameter-item\">\n <strong>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 (\u0623):<\/strong> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u062d\u0648\u0631\u064a \u0627\u0644\u062a\u0631\u0633\u064a\u0646 (\u0644\u0644\u0632\u0648\u062c).\n <\/div>\n <\/div>\n <\/section>\n\n <!-- Pinion (Small Gear) Calculator -->\n <section class=\"gear-section\">\n <h2>\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0631\u0633 \u0627\u0644\u0635\u063a\u064a\u0631<\/h2>\n <form id=\"pinionCalculator\" action=\"\">\n <div class=\"input-grid\">\n <div class=\"input-group\">\n <label for=\"pinionNormalModule\">\u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0639\u0627\u062f\u064a\u0629 (mn):<\/label>\n <input type=\"number\" id=\"pinionNormalModule\" step=\"0.01\" required>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"input-group\">\n <label for=\"pinionPressureAngle\">\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0636\u063a\u0637 (\u03b1n):<\/label>\n <input type=\"number\" id=\"pinionPressureAngle\" step=\"0.1\" required>\n <span class=\"unit\">\u062f\u0631\u062c\u0627\u062a<\/span>\n <\/div>\n <div class=\"input-group\">\n <label for=\"pinionTeeth\">\u0639\u062f\u062f \u0627\u0644\u0623\u0633\u0646\u0627\u0646 (\u0632):<\/label>\n <input type=\"number\" id=\"pinionTeeth\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"pinionHelixAngle\">\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062d\u0644\u0632\u0648\u0646 (\u03b2):<\/label>\n <input type=\"number\" id=\"pinionHelixAngle\" step=\"0.1\" required>\n <span class=\"unit\">\u062f\u0631\u062c\u0627\u062a<\/span>\n <\/div>\n <div class=\"input-group\">\n <label for=\"pinionHelixDirection\">\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062d\u0644\u0632\u0648\u0646:<\/label>\n <select id=\"pinionHelixDirection\" required>\n <option value=\"Right\">\u064a\u0645\u064a\u0646<\/option>\n <option value=\"Left\">\u063a\u0627\u062f\u0631<\/option>\n <\/select>\n <\/div>\n <div class=\"input-group\">\n <label for=\"pinionAddendumCoefficient\">\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0639\u0627\u062f\u064a (\u0647\u0643\u062a\u0627\u0631*):<\/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\">\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u062e\u0644\u064a\u0635 (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\">\u0627\u062d\u0633\u0628<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n\n <div class=\"results-section\" id=\"pinionResults\">\n <h3>\u0646\u062a\u0627\u0626\u062c \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0631\u0633<\/h3>\n <div class=\"result-grid\">\n <div class=\"result-item\">\n <span>cos \u03b2: <\/span>\n <span id=\"pinionCosBeta\">–<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0639\u0631\u0636\u064a\u0629 (\u0645\u062a\u0631): <\/span>\n <span id=\"pinionTransverseModule\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0644\u0644\u0623\u0633\u0646\u0627\u0646 (zv): <\/span>\n <span id=\"pinionEquivalentTeeth\">–<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0639\u0628 (\u062f): <\/span>\n <span id=\"pinionPitchDiameter\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0645\u0633\u062a\u0639\u0631\u0636\u0629 (ha*_t): <\/span>\n <span id=\"pinionTransverseAddendumCoefficient\">–<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0645\u0644\u062d\u0642 (\u0647\u0643\u062a\u0627\u0631): <\/span>\n <span id=\"pinionAddendum\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u062f\u064a\u062f\u0646\u062f\u0648\u0645 (hf): <\/span>\n <span id=\"pinionDedendum\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0639\u0645\u0642 \u0627\u0644\u0643\u0627\u0645\u0644 (h): <\/span>\n <span id=\"pinionWholeDepth\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0642\u0637\u0631 \u0627\u0644\u0637\u0631\u0641 (\u062f\u0627): <\/span>\n <span id=\"pinionTipDiameter\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0642\u0637\u0631 \u0627\u0644\u062c\u0630\u0631 (df): <\/span>\n <span id=\"pinionRootDiameter\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0639\u0645\u0648\u062f (\u03a3): <\/span>\n <span id=\"pinionShaftAngle\">\u064a\u062a\u0637\u0644\u0628 \u0625\u062f\u062e\u0627\u0644 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633<\/span>\n <span class=\"unit\">\u062f\u0631\u062c\u0627\u062a<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0646\u0633\u0628\u0629 \u0627\u0644\u062a\u0631\u0648\u0633 (i): <\/span>\n <span id=\"pinionGearRatio\">\u064a\u062a\u0637\u0644\u0628 \u0625\u062f\u062e\u0627\u0644 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 (\u0623): <\/span>\n <span id=\"pinionCenterDistance\">\u064a\u062a\u0637\u0644\u0628 \u0625\u062f\u062e\u0627\u0644 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/section>\n\n <!-- Gear (Large Gear) Calculator -->\n <section class=\"gear-section\">\n <h2>\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0631\u0648\u0633 (\u0627\u0644\u062a\u0631\u0648\u0633 \u0627\u0644\u0643\u0628\u064a\u0631\u0629)<\/h2>\n <form id=\"gearCalculator\" action=\"\">\n <div class=\"input-grid\">\n <div class=\"input-group\">\n <label for=\"gearNormalModule\">\u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0639\u0627\u062f\u064a\u0629 (mn):<\/label>\n <input type=\"number\" id=\"gearNormalModule\" step=\"0.01\" required>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"input-group\">\n <label for=\"gearPressureAngle\">\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0636\u063a\u0637 (\u03b1n):<\/label>\n <input type=\"number\" id=\"gearPressureAngle\" step=\"0.1\" required>\n <span class=\"unit\">\u062f\u0631\u062c\u0627\u062a<\/span>\n <\/div>\n <div class=\"input-group\">\n <label for=\"gearTeeth\">\u0639\u062f\u062f \u0627\u0644\u0623\u0633\u0646\u0627\u0646 (\u0632):<\/label>\n <input type=\"number\" id=\"gearTeeth\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"gearHelixAngle\">\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062d\u0644\u0632\u0648\u0646 (\u03b2):<\/label>\n <input type=\"number\" id=\"gearHelixAngle\" step=\"0.1\" required>\n <span class=\"unit\">\u062f\u0631\u062c\u0627\u062a<\/span>\n <\/div>\n <div class=\"input-group\">\n <label for=\"gearHelixDirection\">\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062d\u0644\u0632\u0648\u0646:<\/label>\n <select id=\"gearHelixDirection\" required>\n <option value=\"Right\">\u064a\u0645\u064a\u0646<\/option>\n <option value=\"Left\">\u063a\u0627\u062f\u0631<\/option>\n <\/select>\n <\/div>\n <div class=\"input-group\">\n <label for=\"gearAddendumCoefficient\">\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0639\u0627\u062f\u064a (\u0647\u0643\u062a\u0627\u0631*):<\/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\">\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u062e\u0644\u064a\u0635 (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\">\u0627\u062d\u0633\u0628<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n\n <div class=\"results-section\" id=\"gearResults\">\n <h3>\u0646\u062a\u0627\u0626\u062c \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0631\u0648\u0633<\/h3>\n <div class=\"result-grid\">\n <div class=\"result-item\">\n <span>cos \u03b2: <\/span>\n <span id=\"gearCosBeta\">–<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0639\u0631\u0636\u064a\u0629 (\u0645\u062a\u0631): <\/span>\n <span id=\"gearTransverseModule\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0644\u0644\u0623\u0633\u0646\u0627\u0646 (zv): <\/span>\n <span id=\"gearEquivalentTeeth\">–<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0642\u0637\u0631 \u0627\u0644\u0645\u0644\u0639\u0628 (\u062f): <\/span>\n <span id=\"gearPitchDiameter\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0645\u0633\u062a\u0639\u0631\u0636\u0629 (ha*_t): <\/span>\n <span id=\"gearTransverseAddendumCoefficient\">–<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0645\u0644\u062d\u0642 (\u0647\u0643\u062a\u0627\u0631): <\/span>\n <span id=\"gearAddendum\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u062f\u064a\u062f\u0646\u062f\u0648\u0645 (hf): <\/span>\n <span id=\"gearDedendum\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0639\u0645\u0642 \u0627\u0644\u0643\u0627\u0645\u0644 (h): <\/span>\n <span id=\"gearWholeDepth\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0642\u0637\u0631 \u0627\u0644\u0637\u0631\u0641 (\u062f\u0627): <\/span>\n <span id=\"gearTipDiameter\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0642\u0637\u0631 \u0627\u0644\u062c\u0630\u0631 (df): <\/span>\n <span id=\"gearRootDiameter\">–<\/span>\n <span class=\"unit\">\u0645\u0645<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0639\u0645\u0648\u062f (\u03a3): <\/span>\n <span id=\"gearShaftAngle\">\u064a\u062a\u0637\u0644\u0628 \u0625\u062f\u062e\u0627\u0644 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633<\/span>\n <span class=\"unit\">\u062f\u0631\u062c\u0627\u062a<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0646\u0633\u0628\u0629 \u0627\u0644\u062a\u0631\u0648\u0633 (i): <\/span>\n <span id=\"gearGearRatio\">\u064a\u062a\u0637\u0644\u0628 \u0625\u062f\u062e\u0627\u0644 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633<\/span>\n <\/div>\n <div class=\"result-item\">\n <span>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 (\u0623): <\/span>\n <span id=\"gearCenterDistance\">\u064a\u062a\u0637\u0644\u0628 \u0625\u062f\u062e\u0627\u0644 \u0632\u0648\u062c \u0627\u0644\u062a\u0631\u0648\u0633<\/span>\n <span class=\"unit\">\u0645\u0645<\/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…<\/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\/ar\/wp-json\/wp\/v2\/posts\/15869","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/comments?post=15869"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15869\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media\/15871"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media?parent=15869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/categories?post=15869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/tags?post=15869"}],"curies":[{"name":"\u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}