Gear Bending Stress Calculator \u2014 Lewis Formula<\/title>\n <style>\n \/* All styles scoped to #lewis-gear-calculator \u2014 safe for WordPress embed *\/\n #lewis-gear-calculator {\n --lgc-bg: #ffffff;\n --lgc-surface: #ffffff;\n --lgc-surface-2: #f7f9fc;\n --lgc-border: #d8e2ed;\n --lgc-text: #1a2332;\n --lgc-text-muted: #5a6f8a;\n --lgc-accent: #3b82f6;\n --lgc-accent-hover: #2563eb;\n --lgc-accent-glow: rgba(59, 130, 246, 0.15);\n --lgc-safe: #22c55e;\n --lgc-safe-bg: rgba(34, 197, 94, 0.12);\n --lgc-warning: #f59e0b;\n --lgc-warning-bg: rgba(245, 158, 11, 0.12);\n --lgc-critical: #ef4444;\n --lgc-critical-bg: rgba(239, 68, 68, 0.12);\n --lgc-radius: 12px;\n --lgc-shadow: 0 4px 20px rgba(26, 35, 50, 0.08);\n --lgc-font: \"Segoe UI\", system-ui, -apple-system, sans-serif;\n --lgc-mono: \"Cascadia Code\", \"Consolas\", monospace;\n\n box-sizing: border-box;\n font-family: var(--lgc-font);\n font-size: 16px;\n line-height: 1.5;\n color: var(--lgc-text);\n background: var(--lgc-bg);\n max-width: 1200px;\n margin: 0 auto;\n padding: 20px;\n isolation: isolate;\n }\n\n #lewis-gear-calculator *,\n #lewis-gear-calculator *::before,\n #lewis-gear-calculator *::after {\n box-sizing: border-box;\n }\n\n #lewis-gear-calculator h2,\n #lewis-gear-calculator p,\n #lewis-gear-calculator code {\n margin: 0;\n padding: 0;\n }\n\n #lewis-gear-calculator button,\n #lewis-gear-calculator input,\n #lewis-gear-calculator select {\n font: inherit;\n color: inherit;\n }\n\n #lewis-gear-calculator .lgc-toolbar {\n display: flex;\n justify-content: flex-end;\n align-items: center;\n gap: 12px;\n margin-bottom: 16px;\n }\n\n #lewis-gear-calculator .lgc-toggle-group {\n display: flex;\n background: var(--lgc-surface);\n border: 1px solid var(--lgc-border);\n border-radius: 10px;\n overflow: hidden;\n }\n\n #lewis-gear-calculator .lgc-toggle-group button {\n border: none;\n background: transparent;\n color: var(--lgc-text-muted);\n padding: 8px 16px;\n font-size: 0.8125rem;\n font-weight: 600;\n cursor: pointer;\n transition: all 0.2s;\n margin: 0;\n line-height: 1.4;\n }\n\n #lewis-gear-calculator .lgc-toggle-group button.lgc-active {\n background: var(--lgc-accent);\n color: #fff;\n }\n\n #lewis-gear-calculator .lgc-grid-main {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: 20px;\n }\n\n @media (max-width: 900px) {\n #lewis-gear-calculator .lgc-grid-main { grid-template-columns: 1fr; 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color: #fff; }\n #lewis-gear-calculator .lgc-badge.lgc-warning { background: var(--lgc-warning); color: #1a1200; }\n #lewis-gear-calculator .lgc-badge.lgc-critical { background: var(--lgc-critical); color: #fff; }\n #lewis-gear-calculator .lgc-badge.lgc-neutral { background: var(--lgc-surface-2); color: var(--lgc-text-muted); }\n\n #lewis-gear-calculator .lgc-results-grid {\n display: grid;\n grid-template-columns: repeat(4, 1fr);\n gap: 16px;\n }\n\n @media (max-width: 768px) {\n #lewis-gear-calculator .lgc-results-grid { grid-template-columns: repeat(2, 1fr); }\n }\n\n @media (max-width: 420px) {\n #lewis-gear-calculator .lgc-results-grid { grid-template-columns: 1fr; }\n }\n\n #lewis-gear-calculator .lgc-result-card {\n background: var(--lgc-surface);\n border: 1px solid var(--lgc-border);\n border-radius: var(--lgc-radius);\n padding: 18px;\n text-align: center;\n transition: transform 0.2s;\n }\n\n #lewis-gear-calculator .lgc-result-card:hover { transform: translateY(-2px); }\n\n #lewis-gear-calculator .lgc-result-label {\n font-size: 0.7rem;\n font-weight: 700;\n text-transform: uppercase;\n letter-spacing: 0.06em;\n color: var(--lgc-text-muted);\n margin-bottom: 8px;\n }\n\n #lewis-gear-calculator .lgc-result-value {\n font-family: var(--lgc-mono);\n font-size: 1.5rem;\n font-weight: 700;\n color: var(--lgc-text);\n line-height: 1.2;\n }\n\n #lewis-gear-calculator .lgc-result-unit {\n font-size: 0.75rem;\n color: var(--lgc-text-muted);\n margin-top: 4px;\n }\n\n #lewis-gear-calculator .lgc-formula-list {\n display: grid;\n gap: 10px;\n }\n\n #lewis-gear-calculator .lgc-formula-item {\n background: var(--lgc-surface-2);\n border-radius: 8px;\n padding: 12px 14px;\n font-size: 0.8125rem;\n }\n\n #lewis-gear-calculator .lgc-formula-item code {\n font-family: var(--lgc-mono);\n color: var(--lgc-accent);\n font-size: 0.8125rem;\n background: none;\n }\n\n #lewis-gear-calculator .lgc-formula-item span {\n color: var(--lgc-text-muted);\n display: block;\n margin-top: 4px;\n font-size: 0.75rem;\n }\n <\/style>\n<\/head>\n<body>\n \n <div id=\"lewis-gear-calculator\">\n <div class=\"lgc-toolbar\">\n <div class=\"lgc-toggle-group\" id=\"lgc-unitToggle\">\n <button type=\"button\" data-unit=\"si\" class=\"lgc-active\">SI Units<\/button>\n <button type=\"button\" data-unit=\"imperial\">Imperial<\/button>\n <\/div>\n <\/div>\n\n <div class=\"lgc-grid-main\">\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Drive Input<\/div>\n <div class=\"lgc-mode-tabs\" id=\"lgc-torqueModeTabs\">\n <button type=\"button\" data-mode=\"power\" class=\"lgc-active\">Power + RPM<\/button>\n <button type=\"button\" data-mode=\"torque\">Direct Torque<\/button>\n <\/div>\n\n <div id=\"lgc-powerInputs\">\n <div class=\"lgc-field\">\n <label>\n Transmitted Power\n <span class=\"lgc-tooltip\" data-tip=\"Mechanical power transmitted through the gear. Used with RPM to derive torque.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-power\" value=\"15\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-powerUnit\">\u043a\u0412\u0442<\/span>\n <\/div>\n <\/div>\n <div class=\"lgc-field\">\n <label>\n Rotational Speed\n <span class=\"lgc-tooltip\" data-tip=\"Rotational speed of the gear in revolutions per minute.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-rpm\" value=\"1450\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\">\u043e\u0431\/\u043c\u0438\u043d<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div id=\"lgc-torqueInputs\" class=\"lgc-hidden\">\n <div class=\"lgc-field\">\n <label>\n Transmitted Torque\n <span class=\"lgc-tooltip\" data-tip=\"Direct input of torque at the gear pitch circle.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-torqueDirect\" value=\"100\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-torqueUnit\">\u041d-\u043c<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Gear Geometry<\/div>\n <div class=\"lgc-mode-tabs\" id=\"lgc-diameterModeTabs\">\n <button type=\"button\" data-mode=\"diameter\" class=\"lgc-active\">Pitch Diameter<\/button>\n <button type=\"button\" data-mode=\"teeth\">Teeth + Module\/Pitch<\/button>\n <\/div>\n\n <div id=\"lgc-diameterInputs\">\n <div class=\"lgc-field\">\n <label>\n \u0414\u0438\u0430\u043c\u0435\u0442\u0440 \u0448\u0430\u0433\u0430 (d)\n <span class=\"lgc-tooltip\" data-tip=\"Diameter of the pitch circle where tangential force acts.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-pitchDiameter\" value=\"120\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-diameterUnit\">\u043c\u043c<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-field\">\n <label>\n Number of Teeth (N)\n <span class=\"lgc-tooltip\" data-tip=\"Required for Lewis form factor Y lookup. When using Teeth + Module mode, N also determines pitch diameter.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-numTeeth\" value=\"24\" min=\"6\" step=\"1\">\n <span class=\"lgc-unit-tag\">\u2014<\/span>\n <\/div>\n <\/div>\n\n <div id=\"lgc-teethInputs\" class=\"lgc-hidden\">\n <div class=\"lgc-field\">\n <label>\n <span id=\"lgc-modulePitchLabel\">\u041c\u043e\u0434\u0443\u043b\u044c (\u043c)<\/span>\n <span class=\"lgc-tooltip\" data-tip=\"Module (mm) in SI, or Diametral Pitch Pd (teeth\/in) in Imperial.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-modulePitch\" value=\"5\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-modulePitchUnit\">\u043c\u043c<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-field\">\n <label>\n Face Width (b)\n <span class=\"lgc-tooltip\" data-tip=\"Axial width of the gear tooth zone. Enters the Lewis stress denominator.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-faceWidth\" value=\"25\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-faceWidthUnit\">\u043c\u043c<\/span>\n <\/div>\n <\/div>\n\n <div class=\"lgc-field\">\n <label>\n Pressure Angle\n <span class=\"lgc-tooltip\" data-tip=\"Standard pressure angle determines the Lewis form factor Y.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <select id=\"lgc-pressureAngle\">\n <option value=\"a145\">14.5° Full Depth<\/option>\n <option value=\"a20\" selected>20° Full Depth<\/option>\n <option value=\"a20s\">20° Stub<\/option>\n <\/select>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Material Properties<\/div>\n <div class=\"lgc-field\">\n <label>\n Allowable Bending Stress (\u03c3<sub>all<\/sub>)\n <span class=\"lgc-tooltip\" data-tip=\"Material allowable bending stress from data sheets or design codes.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-allowableStress\" value=\"200\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-stressUnit\">\u041c\u041f\u0430<\/span>\n <\/div>\n <\/div>\n <div class=\"lgc-formula-list\" style=\"margin-top: 16px;\">\n <div class=\"lgc-formula-item\">\n <code>SF = \u03c3<sub>all<\/sub> \/ \u03c3<\/code>\n <span>Safety Factor \u2014 Green \u2265 1.5, Orange 1.0\u20131.5, Red < 1.0<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Derived Values<\/div>\n <div class=\"lgc-formula-list\">\n <div class=\"lgc-formula-item\">\n <code id=\"lgc-derivedTorque\">T = \u2014<\/code>\n <span>Calculated or direct torque input<\/span>\n <\/div>\n <div class=\"lgc-formula-item\">\n <code id=\"lgc-derivedDiameter\">d = \u2014<\/code>\n <span>Pitch diameter used in force calculation<\/span>\n <\/div>\n <div class=\"lgc-formula-item\">\n <code id=\"lgc-derivedModule\">m \/ Pd = \u2014<\/code>\n <span id=\"lgc-derivedModuleLabel\">Module for Lewis stress (SI)<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-calc-actions\">\n <button type=\"button\" class=\"lgc-calc-btn\" id=\"lgc-calcBtn\">\u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/button>\n <\/div>\n\n <section class=\"lgc-results-section lgc-hidden\" id=\"lgc-resultsSection\">\n <div class=\"lgc-status-banner lgc-neutral\" id=\"lgc-statusBanner\">\n <div class=\"lgc-status-left\">\n <h2 id=\"lgc-statusTitle\">Awaiting Input<\/h2>\n <p id=\"lgc-statusDesc\">Enter valid parameters to evaluate gear bending safety.<\/p>\n <\/div>\n <span class=\"lgc-badge lgc-neutral\" id=\"lgc-statusBadge\">\u2014<\/span>\n <\/div>\n\n <div class=\"lgc-results-grid\">\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Tangential Force (F<sub>t<\/sub>)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultFt\">\u2014<\/div>\n <div class=\"lgc-result-unit\" id=\"lgc-resultFtUnit\">\u041d<\/div>\n <\/div>\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Lewis Form Factor (Y)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultY\">\u2014<\/div>\n <div class=\"lgc-result-unit\">dimensionless<\/div>\n <\/div>\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Bending Stress (\u03c3)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultSigma\">\u2014<\/div>\n <div class=\"lgc-result-unit\" id=\"lgc-resultSigmaUnit\">\u041c\u041f\u0430<\/div>\n <\/div>\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Safety Factor (SF)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultSF\">\u2014<\/div>\n <div class=\"lgc-result-unit\">\u03c3<sub>all<\/sub> \/ \u03c3<\/div>\n <\/div>\n <\/div>\n <\/section>\n <\/div>\n\n <div id=\"lgc-b64\" style=\"display:none!important\" 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{"id":24554,"date":"2026-07-21T06:59:48","date_gmt":"2026-07-21T06:59:48","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=24554"},"modified":"2026-07-21T07:24:32","modified_gmt":"2026-07-21T07:24:32","slug":"gear-bending-stress-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/ru\/gear-bending-stress-calculator\/","title":{"rendered":"Gear Bending Stress Calculator"},"content":{"rendered":"

\u0421\u0430\u0439\u0442 Gear Bending Stress Calculator<\/strong> is a free online engineering tool designed to calculate the bending stress of gear teeth based on industry-standard gear design principles. By entering parameters such as transmitted torque, gear module, number of teeth, face width, material properties, and applied load, the Gear Bending Stress Calculator<\/strong> quickly estimates the bending stress acting on the gear tooth root. This helps engineers evaluate gear strength, prevent tooth failure, and optimize gear designs for improved durability and performance. Ideal for mechanical engineers, gearbox designers, and students, this calculator provides fast, accurate, and browser-based calculations without requiring additional software, making gear design and verification more efficient and reliable.<\/p>\n\n\n\n\n\n\n \n \n Gear Bending Stress Calculator \u2014 Lewis Formula<\/title>\n <style>\n \/* All styles scoped to #lewis-gear-calculator \u2014 safe for WordPress embed *\/\n #lewis-gear-calculator {\n --lgc-bg: #ffffff;\n --lgc-surface: #ffffff;\n --lgc-surface-2: #f7f9fc;\n --lgc-border: #d8e2ed;\n --lgc-text: #1a2332;\n --lgc-text-muted: #5a6f8a;\n --lgc-accent: #3b82f6;\n --lgc-accent-hover: #2563eb;\n --lgc-accent-glow: rgba(59, 130, 246, 0.15);\n --lgc-safe: #22c55e;\n --lgc-safe-bg: rgba(34, 197, 94, 0.12);\n --lgc-warning: #f59e0b;\n --lgc-warning-bg: rgba(245, 158, 11, 0.12);\n --lgc-critical: #ef4444;\n --lgc-critical-bg: rgba(239, 68, 68, 0.12);\n --lgc-radius: 12px;\n --lgc-shadow: 0 4px 20px rgba(26, 35, 50, 0.08);\n --lgc-font: \"Segoe UI\", system-ui, -apple-system, sans-serif;\n --lgc-mono: \"Cascadia Code\", \"Consolas\", monospace;\n\n box-sizing: border-box;\n font-family: var(--lgc-font);\n font-size: 16px;\n line-height: 1.5;\n color: var(--lgc-text);\n background: var(--lgc-bg);\n max-width: 1200px;\n margin: 0 auto;\n padding: 20px;\n isolation: isolate;\n }\n\n #lewis-gear-calculator *,\n #lewis-gear-calculator *::before,\n #lewis-gear-calculator *::after {\n box-sizing: border-box;\n }\n\n #lewis-gear-calculator h2,\n #lewis-gear-calculator p,\n #lewis-gear-calculator code {\n margin: 0;\n padding: 0;\n }\n\n #lewis-gear-calculator button,\n #lewis-gear-calculator input,\n #lewis-gear-calculator select {\n font: inherit;\n color: inherit;\n }\n\n #lewis-gear-calculator .lgc-toolbar {\n display: flex;\n justify-content: flex-end;\n align-items: center;\n gap: 12px;\n margin-bottom: 16px;\n }\n\n #lewis-gear-calculator .lgc-toggle-group {\n display: flex;\n background: var(--lgc-surface);\n border: 1px solid var(--lgc-border);\n border-radius: 10px;\n overflow: hidden;\n }\n\n #lewis-gear-calculator .lgc-toggle-group button {\n border: none;\n background: transparent;\n color: var(--lgc-text-muted);\n padding: 8px 16px;\n font-size: 0.8125rem;\n font-weight: 600;\n cursor: pointer;\n transition: all 0.2s;\n margin: 0;\n line-height: 1.4;\n }\n\n #lewis-gear-calculator .lgc-toggle-group button.lgc-active {\n background: var(--lgc-accent);\n color: #fff;\n }\n\n #lewis-gear-calculator .lgc-grid-main {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: 20px;\n }\n\n @media (max-width: 900px) {\n #lewis-gear-calculator .lgc-grid-main { grid-template-columns: 1fr; 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color: #fff; }\n #lewis-gear-calculator .lgc-badge.lgc-warning { background: var(--lgc-warning); color: #1a1200; }\n #lewis-gear-calculator .lgc-badge.lgc-critical { background: var(--lgc-critical); color: #fff; }\n #lewis-gear-calculator .lgc-badge.lgc-neutral { background: var(--lgc-surface-2); color: var(--lgc-text-muted); }\n\n #lewis-gear-calculator .lgc-results-grid {\n display: grid;\n grid-template-columns: repeat(4, 1fr);\n gap: 16px;\n }\n\n @media (max-width: 768px) {\n #lewis-gear-calculator .lgc-results-grid { grid-template-columns: repeat(2, 1fr); }\n }\n\n @media (max-width: 420px) {\n #lewis-gear-calculator .lgc-results-grid { grid-template-columns: 1fr; }\n }\n\n #lewis-gear-calculator .lgc-result-card {\n background: var(--lgc-surface);\n border: 1px solid var(--lgc-border);\n border-radius: var(--lgc-radius);\n padding: 18px;\n text-align: center;\n transition: transform 0.2s;\n }\n\n #lewis-gear-calculator .lgc-result-card:hover { transform: translateY(-2px); }\n\n #lewis-gear-calculator .lgc-result-label {\n font-size: 0.7rem;\n font-weight: 700;\n text-transform: uppercase;\n letter-spacing: 0.06em;\n color: var(--lgc-text-muted);\n margin-bottom: 8px;\n }\n\n #lewis-gear-calculator .lgc-result-value {\n font-family: var(--lgc-mono);\n font-size: 1.5rem;\n font-weight: 700;\n color: var(--lgc-text);\n line-height: 1.2;\n }\n\n #lewis-gear-calculator .lgc-result-unit {\n font-size: 0.75rem;\n color: var(--lgc-text-muted);\n margin-top: 4px;\n }\n\n #lewis-gear-calculator .lgc-formula-list {\n display: grid;\n gap: 10px;\n }\n\n #lewis-gear-calculator .lgc-formula-item {\n background: var(--lgc-surface-2);\n border-radius: 8px;\n padding: 12px 14px;\n font-size: 0.8125rem;\n }\n\n #lewis-gear-calculator .lgc-formula-item code {\n font-family: var(--lgc-mono);\n color: var(--lgc-accent);\n font-size: 0.8125rem;\n background: none;\n }\n\n #lewis-gear-calculator .lgc-formula-item span {\n color: var(--lgc-text-muted);\n display: block;\n margin-top: 4px;\n font-size: 0.75rem;\n }\n <\/style>\n<\/head>\n<body>\n \n <div id=\"lewis-gear-calculator\">\n <div class=\"lgc-toolbar\">\n <div class=\"lgc-toggle-group\" id=\"lgc-unitToggle\">\n <button type=\"button\" data-unit=\"si\" class=\"lgc-active\">SI Units<\/button>\n <button type=\"button\" data-unit=\"imperial\">Imperial<\/button>\n <\/div>\n <\/div>\n\n <div class=\"lgc-grid-main\">\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Drive Input<\/div>\n <div class=\"lgc-mode-tabs\" id=\"lgc-torqueModeTabs\">\n <button type=\"button\" data-mode=\"power\" class=\"lgc-active\">Power + RPM<\/button>\n <button type=\"button\" data-mode=\"torque\">Direct Torque<\/button>\n <\/div>\n\n <div id=\"lgc-powerInputs\">\n <div class=\"lgc-field\">\n <label>\n Transmitted Power\n <span class=\"lgc-tooltip\" data-tip=\"Mechanical power transmitted through the gear. Used with RPM to derive torque.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-power\" value=\"15\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-powerUnit\">\u043a\u0412\u0442<\/span>\n <\/div>\n <\/div>\n <div class=\"lgc-field\">\n <label>\n Rotational Speed\n <span class=\"lgc-tooltip\" data-tip=\"Rotational speed of the gear in revolutions per minute.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-rpm\" value=\"1450\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\">\u043e\u0431\/\u043c\u0438\u043d<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div id=\"lgc-torqueInputs\" class=\"lgc-hidden\">\n <div class=\"lgc-field\">\n <label>\n Transmitted Torque\n <span class=\"lgc-tooltip\" data-tip=\"Direct input of torque at the gear pitch circle.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-torqueDirect\" value=\"100\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-torqueUnit\">\u041d-\u043c<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Gear Geometry<\/div>\n <div class=\"lgc-mode-tabs\" id=\"lgc-diameterModeTabs\">\n <button type=\"button\" data-mode=\"diameter\" class=\"lgc-active\">Pitch Diameter<\/button>\n <button type=\"button\" data-mode=\"teeth\">Teeth + Module\/Pitch<\/button>\n <\/div>\n\n <div id=\"lgc-diameterInputs\">\n <div class=\"lgc-field\">\n <label>\n \u0414\u0438\u0430\u043c\u0435\u0442\u0440 \u0448\u0430\u0433\u0430 (d)\n <span class=\"lgc-tooltip\" data-tip=\"Diameter of the pitch circle where tangential force acts.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-pitchDiameter\" value=\"120\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-diameterUnit\">\u043c\u043c<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-field\">\n <label>\n Number of Teeth (N)\n <span class=\"lgc-tooltip\" data-tip=\"Required for Lewis form factor Y lookup. When using Teeth + Module mode, N also determines pitch diameter.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-numTeeth\" value=\"24\" min=\"6\" step=\"1\">\n <span class=\"lgc-unit-tag\">\u2014<\/span>\n <\/div>\n <\/div>\n\n <div id=\"lgc-teethInputs\" class=\"lgc-hidden\">\n <div class=\"lgc-field\">\n <label>\n <span id=\"lgc-modulePitchLabel\">\u041c\u043e\u0434\u0443\u043b\u044c (\u043c)<\/span>\n <span class=\"lgc-tooltip\" data-tip=\"Module (mm) in SI, or Diametral Pitch Pd (teeth\/in) in Imperial.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-modulePitch\" value=\"5\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-modulePitchUnit\">\u043c\u043c<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-field\">\n <label>\n Face Width (b)\n <span class=\"lgc-tooltip\" data-tip=\"Axial width of the gear tooth zone. Enters the Lewis stress denominator.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-faceWidth\" value=\"25\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-faceWidthUnit\">\u043c\u043c<\/span>\n <\/div>\n <\/div>\n\n <div class=\"lgc-field\">\n <label>\n Pressure Angle\n <span class=\"lgc-tooltip\" data-tip=\"Standard pressure angle determines the Lewis form factor Y.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <select id=\"lgc-pressureAngle\">\n <option value=\"a145\">14.5° Full Depth<\/option>\n <option value=\"a20\" selected>20° Full Depth<\/option>\n <option value=\"a20s\">20° Stub<\/option>\n <\/select>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Material Properties<\/div>\n <div class=\"lgc-field\">\n <label>\n Allowable Bending Stress (\u03c3<sub>all<\/sub>)\n <span class=\"lgc-tooltip\" data-tip=\"Material allowable bending stress from data sheets or design codes.\">?<\/span>\n <\/label>\n <div class=\"lgc-input-wrap\">\n <input type=\"number\" id=\"lgc-allowableStress\" value=\"200\" min=\"0\" step=\"any\">\n <span class=\"lgc-unit-tag\" id=\"lgc-stressUnit\">\u041c\u041f\u0430<\/span>\n <\/div>\n <\/div>\n <div class=\"lgc-formula-list\" style=\"margin-top: 16px;\">\n <div class=\"lgc-formula-item\">\n <code>SF = \u03c3<sub>all<\/sub> \/ \u03c3<\/code>\n <span>Safety Factor \u2014 Green \u2265 1.5, Orange 1.0\u20131.5, Red < 1.0<\/span>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-card\">\n <div class=\"lgc-card-title\">Derived Values<\/div>\n <div class=\"lgc-formula-list\">\n <div class=\"lgc-formula-item\">\n <code id=\"lgc-derivedTorque\">T = \u2014<\/code>\n <span>Calculated or direct torque input<\/span>\n <\/div>\n <div class=\"lgc-formula-item\">\n <code id=\"lgc-derivedDiameter\">d = \u2014<\/code>\n <span>Pitch diameter used in force calculation<\/span>\n <\/div>\n <div class=\"lgc-formula-item\">\n <code id=\"lgc-derivedModule\">m \/ Pd = \u2014<\/code>\n <span id=\"lgc-derivedModuleLabel\">Module for Lewis stress (SI)<\/span>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"lgc-calc-actions\">\n <button type=\"button\" class=\"lgc-calc-btn\" id=\"lgc-calcBtn\">\u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/button>\n <\/div>\n\n <section class=\"lgc-results-section lgc-hidden\" id=\"lgc-resultsSection\">\n <div class=\"lgc-status-banner lgc-neutral\" id=\"lgc-statusBanner\">\n <div class=\"lgc-status-left\">\n <h2 id=\"lgc-statusTitle\">Awaiting Input<\/h2>\n <p id=\"lgc-statusDesc\">Enter valid parameters to evaluate gear bending safety.<\/p>\n <\/div>\n <span class=\"lgc-badge lgc-neutral\" id=\"lgc-statusBadge\">\u2014<\/span>\n <\/div>\n\n <div class=\"lgc-results-grid\">\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Tangential Force (F<sub>t<\/sub>)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultFt\">\u2014<\/div>\n <div class=\"lgc-result-unit\" id=\"lgc-resultFtUnit\">\u041d<\/div>\n <\/div>\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Lewis Form Factor (Y)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultY\">\u2014<\/div>\n <div class=\"lgc-result-unit\">dimensionless<\/div>\n <\/div>\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Bending Stress (\u03c3)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultSigma\">\u2014<\/div>\n <div class=\"lgc-result-unit\" id=\"lgc-resultSigmaUnit\">\u041c\u041f\u0430<\/div>\n <\/div>\n <div class=\"lgc-result-card\">\n <div class=\"lgc-result-label\">Safety Factor (SF)<\/div>\n <div class=\"lgc-result-value\" id=\"lgc-resultSF\">\u2014<\/div>\n <div class=\"lgc-result-unit\">\u03c3<sub>all<\/sub> \/ \u03c3<\/div>\n <\/div>\n <\/div>\n <\/section>\n <\/div>\n\n <div id=\"lgc-b64\" style=\"display:none!important\" 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