Gear Material Pair Calculator<\/title>\n<\/head>\n<body>\n<div id=\"gmp-calc-root\" class=\"gmp-calc-root\">\n\n<style>\n \/* Scoped styles - all rules live under #gmp-calc-root only *\/\n #gmp-calc-root {\n --gmp-navy: #1a2332;\n --gmp-navy-light: #243044;\n --gmp-accent: #2563eb;\n --gmp-accent-dim: #1d4ed8;\n --gmp-bg: #ffffff;\n --gmp-card: #ffffff;\n --gmp-border: #d1d9e6;\n --gmp-text: #1e293b;\n --gmp-muted: #64748b;\n --gmp-success: #16a34a;\n --gmp-warning: #d97706;\n --gmp-danger: #dc2626;\n --gmp-radius: 10px;\n --gmp-shadow: 0 2px 12px rgba(26,35,50,.08);\n\n box-sizing: border-box;\n font-family: \"Segoe UI\", system-ui, -apple-system, sans-serif;\n font-size: 16px;\n line-height: 1.55;\n color: var(--gmp-text);\n background: var(--gmp-bg);\n max-width: 1000px;\n width: 100%;\n margin: 0 auto;\n padding: 1.5rem;\n display: flex;\n flex-direction: column;\n gap: 1.5rem;\n }\n\n #gmp-calc-root *,\n #gmp-calc-root *::before,\n #gmp-calc-root *::after {\n box-sizing: border-box;\n }\n\n #gmp-calc-root .gmp-card {\n display: block;\n background: var(--gmp-card);\n border: 1px solid var(--gmp-border);\n border-radius: var(--gmp-radius);\n box-shadow: var(--gmp-shadow);\n overflow: hidden;\n }\n\n #gmp-calc-root .gmp-card-header {\n background: var(--gmp-navy);\n color: #fff;\n padding: .75rem 1.25rem;\n font-size: .95rem;\n font-weight: 600;\n letter-spacing: .03em;\n text-transform: uppercase;\n margin: 0;\n }\n\n #gmp-calc-root .gmp-card-body {\n padding: 1.25rem;\n }\n\n #gmp-calc-root .gmp-section-title {\n font-size: .78rem;\n font-weight: 700;\n text-transform: uppercase;\n letter-spacing: .06em;\n color: var(--gmp-accent);\n margin: 1.1rem 0 .6rem;\n padding-bottom: .3rem;\n border-bottom: 1px solid var(--gmp-border);\n }\n\n #gmp-calc-root .gmp-section-title:first-child {\n margin-top: 0;\n }\n\n #gmp-calc-root .gmp-form-row {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: .75rem;\n margin-bottom: .75rem;\n }\n\n #gmp-calc-root .gmp-form-row.gmp-single {\n grid-template-columns: 1fr;\n }\n\n @media (max-width: 560px) {\n #gmp-calc-root .gmp-form-row {\n grid-template-columns: 1fr;\n }\n }\n\n #gmp-calc-root label {\n display: block;\n font-size: .8rem;\n font-weight: 600;\n color: var(--gmp-muted);\n margin-bottom: .25rem;\n }\n\n #gmp-calc-root label .gmp-unit {\n font-weight: 400;\n color: #94a3b8;\n }\n\n #gmp-calc-root input[type=\"number\"],\n #gmp-calc-root select {\n width: 100%;\n max-width: 100%;\n padding: .5rem .65rem;\n border: 1px solid var(--gmp-border);\n border-radius: 6px;\n font-size: .88rem;\n font-family: inherit;\n color: var(--gmp-text);\n background: #fafbfc;\n transition: border-color .15s, box-shadow .15s;\n margin: 0;\n height: auto;\n line-height: normal;\n }\n\n #gmp-calc-root input[type=\"number\"]:focus,\n #gmp-calc-root select:focus {\n outline: none;\n border-color: var(--gmp-accent);\n box-shadow: 0 0 0 3px rgba(37,99,235,.15);\n background: #fff;\n }\n\n #gmp-calc-root .gmp-custom-fields {\n display: none;\n padding: .75rem;\n background: #f8fafc;\n border: 1px dashed var(--gmp-border);\n border-radius: 6px;\n margin-bottom: .75rem;\n }\n\n #gmp-calc-root .gmp-custom-fields.gmp-visible {\n display: block;\n }\n\n #gmp-calc-root .gmp-toggle-group {\n display: flex;\n gap: 0;\n margin-bottom: .75rem;\n border: 1px solid var(--gmp-border);\n border-radius: 6px;\n overflow: hidden;\n }\n\n #gmp-calc-root .gmp-toggle-group button {\n flex: 1;\n padding: .45rem;\n border: none;\n background: #f1f5f9;\n font-size: .82rem;\n font-family: inherit;\n font-weight: 600;\n color: var(--gmp-muted);\n cursor: pointer;\n transition: background .15s, color .15s;\n margin: 0;\n line-height: normal;\n text-transform: none;\n letter-spacing: normal;\n }\n\n #gmp-calc-root .gmp-toggle-group button.gmp-active {\n background: var(--gmp-accent);\n color: #fff;\n }\n\n #gmp-calc-root .gmp-btn-calc-wrap {\n display: flex;\n justify-content: center;\n margin-top: .5rem;\n }\n\n #gmp-calc-root .gmp-btn-calc {\n width: 33.333%;\n min-width: 120px;\n padding: .75rem;\n background: var(--gmp-accent);\n color: #fff;\n border: none;\n border-radius: 6px;\n font-size: .95rem;\n font-family: inherit;\n font-weight: 700;\n cursor: pointer;\n letter-spacing: .03em;\n transition: background .15s, transform .1s;\n margin: 0;\n line-height: normal;\n text-transform: none;\n }\n\n #gmp-calc-root .gmp-btn-calc:hover {\n background: var(--gmp-accent-dim);\n }\n\n #gmp-calc-root .gmp-btn-calc:active {\n transform: scale(.985);\n }\n\n #gmp-calc-root .gmp-status-badge {\n display: inline-flex;\n align-items: center;\n gap: .5rem;\n padding: .6rem 1.1rem;\n border-radius: 8px;\n font-size: 1rem;\n font-weight: 700;\n margin-bottom: 1rem;\n width: 100%;\n justify-content: center;\n }\n\n #gmp-calc-root .gmp-status-badge.gmp-excellent { background: #dcfce7; color: #15803d; border: 2px solid #86efac; }\n #gmp-calc-root .gmp-status-badge.gmp-acceptable { background: #fef9c3; color: #a16207; border: 2px solid #fde047; }\n #gmp-calc-root .gmp-status-badge.gmp-warning { background: #ffedd5; color: #c2410c; border: 2px solid #fdba74; }\n #gmp-calc-root .gmp-status-badge.gmp-danger { background: #fee2e2; color: #b91c1c; border: 2px solid #fca5a5; }\n\n #gmp-calc-root .gmp-metric-grid {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: .75rem;\n margin-bottom: 1rem;\n }\n\n @media (max-width: 560px) {\n #gmp-calc-root .gmp-metric-grid {\n grid-template-columns: 1fr;\n }\n }\n\n #gmp-calc-root .gmp-metric-box {\n background: #f8fafc;\n border: 1px solid var(--gmp-border);\n border-radius: 8px;\n padding: .85rem 1rem;\n text-align: center;\n }\n\n #gmp-calc-root .gmp-metric-box .gmp-label {\n font-size: .72rem;\n font-weight: 600;\n color: var(--gmp-muted);\n text-transform: uppercase;\n letter-spacing: .04em;\n }\n\n #gmp-calc-root .gmp-metric-box .gmp-value {\n font-size: 1.45rem;\n font-weight: 700;\n margin: .2rem 0;\n }\n\n #gmp-calc-root .gmp-metric-box .gmp-sub {\n font-size: .75rem;\n color: var(--gmp-muted);\n }\n\n #gmp-calc-root .gmp-metric-box.gmp-ok .gmp-value { color: var(--gmp-success); }\n #gmp-calc-root .gmp-metric-box.gmp-warn .gmp-value { color: var(--gmp-warning); }\n #gmp-calc-root .gmp-metric-box.gmp-fail .gmp-value { color: var(--gmp-danger); }\n\n #gmp-calc-root .gmp-alert-list {\n list-style: none;\n margin: 0 0 1rem;\n padding: 0;\n }\n\n #gmp-calc-root .gmp-alert-list li {\n padding: .55rem .75rem;\n border-radius: 6px;\n font-size: .84rem;\n margin-bottom: .4rem;\n display: flex;\n align-items: flex-start;\n gap: .5rem;\n }\n\n #gmp-calc-root .gmp-alert-list li.gmp-info { background: #eff6ff; color: #1e40af; border-left: 3px solid var(--gmp-accent); }\n #gmp-calc-root .gmp-alert-list li.gmp-success { background: #f0fdf4; color: #166534; border-left: 3px solid var(--gmp-success); }\n #gmp-calc-root .gmp-alert-list li.gmp-warn-item { background: #fffbeb; color: #92400e; border-left: 3px solid var(--gmp-warning); }\n #gmp-calc-root .gmp-alert-list li.gmp-danger { background: #fef2f2; color: #991b1b; border-left: 3px solid var(--gmp-danger); }\n\n #gmp-calc-root .gmp-rec-box {\n background: #f0f4ff;\n border: 1px solid #bfdbfe;\n border-radius: 8px;\n padding: 1rem;\n }\n\n #gmp-calc-root .gmp-rec-box h4 {\n font-size: .85rem;\n color: var(--gmp-navy);\n margin: 0 0 .5rem;\n font-weight: 700;\n line-height: 1.4;\n }\n\n #gmp-calc-root .gmp-rec-box ul {\n list-style: disc;\n padding-left: 1.2rem;\n margin: 0;\n font-size: .84rem;\n color: var(--gmp-text);\n }\n\n #gmp-calc-root .gmp-rec-box li {\n margin-bottom: .35rem;\n }\n\n #gmp-calc-root .gmp-ratio-row {\n margin-bottom: .75rem;\n }\n\n #gmp-calc-root .gmp-ratio-label {\n display: flex;\n justify-content: space-between;\n font-size: .78rem;\n font-weight: 600;\n color: var(--gmp-muted);\n margin-bottom: .25rem;\n }\n\n #gmp-calc-root .gmp-ratio-bar-bg {\n height: 10px;\n background: #e2e8f0;\n border-radius: 5px;\n overflow: hidden;\n }\n\n #gmp-calc-root .gmp-ratio-bar-fill {\n height: 100%;\n border-radius: 5px;\n transition: width .3s;\n }\n\n #gmp-calc-root .gmp-ratio-bar-fill.gmp-ok { background: var(--gmp-success); }\n #gmp-calc-root .gmp-ratio-bar-fill.gmp-warn { background: var(--gmp-warning); }\n #gmp-calc-root .gmp-ratio-bar-fill.gmp-fail { background: var(--gmp-danger); }\n\n #gmp-calc-root .gmp-geo-results {\n display: grid;\n grid-template-columns: repeat(3, 1fr);\n gap: .5rem;\n margin-top: .75rem;\n padding-top: .75rem;\n border-top: 1px solid var(--gmp-border);\n }\n\n #gmp-calc-root .gmp-geo-item {\n text-align: center;\n }\n\n #gmp-calc-root .gmp-g-label {\n font-size: .7rem;\n color: var(--gmp-muted);\n text-transform: uppercase;\n }\n\n #gmp-calc-root .gmp-g-val {\n font-size: 1.1rem;\n font-weight: 700;\n color: var(--gmp-navy);\n }\n\n #gmp-calc-root .gmp-hardness-unit {\n max-width: 90px;\n }\n\n #gmp-calc-root .gmp-no-margin {\n margin-bottom: 0;\n }\n\n #gmp-calc-root .gmp-hidden {\n display: none !important;\n }\n\n #gmp-calc-root #gmp-resultsPanel.gmp-results-shown {\n display: block !important;\n }\n\n #gmp-calc-root .gmp-surface-value {\n font-size: 1rem;\n }\n<\/style>\n\n \n <div class=\"gmp-card\">\n <div class=\"gmp-card-header\">Input Parameters<\/div>\n <div class=\"gmp-card-body\">\n\n <div class=\"gmp-section-title\">Pinion Material<\/div>\n <div class=\"gmp-form-row gmp-single\">\n <div>\n <label for=\"gmp-pinionMaterial\">Material Selection<\/label>\n <select id=\"gmp-pinionMaterial\">\n <option value=\"20CrMnTi\">20CrMnTi (Carburized)<\/option>\n <option value=\"40Cr\">40Cr (Quenched & Tempered)<\/option>\n <option value=\"45Steel\">45 Steel (Normalized \/ Quenched)<\/option>\n <option value=\"42CrMo\">42CrMo (Nitrided \/ Q&T)<\/option>\n <option value=\"Bronze\">Bronze (Worm \/ Special Pairs)<\/option>\n <option value=\"custom\">Custom Material<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div id=\"gmp-pinionCustom\" class=\"gmp-custom-fields\">\n <div class=\"gmp-form-row\">\n <div>\n <label for=\"gmp-sigmaF1\">Allowable Bending Stress [\u03c3<sub>F1<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaF1\" min=\"1\" step=\"1\" value=\"500\" \/>\n <\/div>\n <div>\n <label for=\"gmp-sigmaH1\">Allowable Contact Stress [\u03c3<sub>H1<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaH1\" min=\"1\" step=\"1\" value=\"1350\" \/>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Gear Material<\/div>\n <div class=\"gmp-form-row gmp-single\">\n <div>\n <label for=\"gmp-gearMaterial\">Material Selection<\/label>\n <select id=\"gmp-gearMaterial\">\n <option value=\"40Cr\">40Cr (Quenched & Tempered)<\/option>\n <option value=\"20CrMnTi\">20CrMnTi (Carburized)<\/option>\n <option value=\"45Steel\">45 Steel (Normalized \/ Quenched)<\/option>\n <option value=\"42CrMo\">42CrMo (Nitrided \/ Q&T)<\/option>\n <option value=\"Bronze\">Bronze (Worm \/ Special Pairs)<\/option>\n <option value=\"custom\">Custom Material<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div id=\"gmp-gearCustom\" class=\"gmp-custom-fields\">\n <div class=\"gmp-form-row\">\n <div>\n <label for=\"gmp-sigmaF2\">Allowable Bending Stress [\u03c3<sub>F2<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaF2\" min=\"1\" step=\"1\" value=\"370\" \/>\n <\/div>\n <div>\n <label for=\"gmp-sigmaH2\">Allowable Contact Stress [\u03c3<sub>H2<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaH2\" min=\"1\" step=\"1\" value=\"1000\" \/>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Hardness Parameters<\/div>\n <div class=\"gmp-form-row\">\n <div>\n <label for=\"gmp-pinionHardness\">Pinion Hardness<\/label>\n <div class=\"gmp-form-row gmp-no-margin\">\n <input type=\"number\" id=\"gmp-pinionHardness\" min=\"1\" step=\"0.1\" value=\"58\" \/>\n <select id=\"gmp-pinionHardnessUnit\" class=\"gmp-hardness-unit\">\n <option value=\"HRC\">HRC<\/option>\n <option value=\"HBW\">HBW<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div>\n <label for=\"gmp-gearHardness\">Gear Hardness<\/label>\n <div class=\"gmp-form-row gmp-no-margin\">\n <input type=\"number\" id=\"gmp-gearHardness\" min=\"1\" step=\"0.1\" value=\"32\" \/>\n <select id=\"gmp-gearHardnessUnit\" class=\"gmp-hardness-unit\">\n <option value=\"HRC\">HRC<\/option>\n <option value=\"HBW\">HBW<\/option>\n <\/select>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Geometry & Load<\/div>\n <div class=\"gmp-toggle-group\" id=\"gmp-powerTorqueToggle\">\n <button type=\"button\" class=\"gmp-active\" data-mode=\"power\">Power (P)<\/button>\n <button type=\"button\" data-mode=\"torque\">Torque (T\u2081)<\/button>\n <\/div>\n <div class=\"gmp-form-row\">\n <div id=\"gmp-powerField\">\n <label for=\"gmp-power\">Transmitted Power (P) <span class=\"gmp-unit\">(kW)<\/span><\/label>\n <input type=\"number\" id=\"gmp-power\" min=\"0.01\" step=\"0.1\" value=\"15\" \/>\n <\/div>\n <div id=\"gmp-torqueField\" class=\"gmp-hidden\">\n <label for=\"gmp-torque\">Pinion Torque (T\u2081) <span class=\"gmp-unit\">(N\u00b7m)<\/span><\/label>\n <input type=\"number\" id=\"gmp-torque\" min=\"0.1\" step=\"0.1\" value=\"200\" \/>\n <\/div>\n <div>\n <label for=\"gmp-speed\">Pinion Speed (n\u2081) <span class=\"gmp-unit\">(RPM)<\/span><\/label>\n <input type=\"number\" id=\"gmp-speed\" min=\"1\" step=\"1\" value=\"1450\" \/>\n <\/div>\n <\/div>\n\n <div class=\"gmp-toggle-group\" id=\"gmp-ratioTeethToggle\">\n <button type=\"button\" class=\"gmp-active\" data-mode=\"ratio\">Gear Ratio (u)<\/button>\n <button type=\"button\" data-mode=\"teeth\">Number of Teeth (z\u2081, z\u2082)<\/button>\n <\/div>\n <div class=\"gmp-form-row\" id=\"gmp-ratioField\">\n <div>\n <label for=\"gmp-ratio\">Gear Ratio (u = z\u2082\/z\u2081)<\/label>\n <input type=\"number\" id=\"gmp-ratio\" min=\"1.01\" step=\"0.01\" value=\"3.5\" \/>\n <\/div>\n <\/div>\n <div class=\"gmp-form-row gmp-hidden\" id=\"gmp-teethField\">\n <div>\n <label for=\"gmp-z1\">Pinion Teeth (z\u2081)<\/label>\n <input type=\"number\" id=\"gmp-z1\" min=\"6\" step=\"1\" value=\"20\" \/>\n <\/div>\n <div>\n <label for=\"gmp-z2\">Gear Teeth (z\u2082)<\/label>\n <input type=\"number\" id=\"gmp-z2\" min=\"7\" step=\"1\" value=\"70\" \/>\n <\/div>\n <\/div>\n\n <div class=\"gmp-btn-calc-wrap\">\n <button type=\"button\" class=\"gmp-btn-calc\" id=\"gmp-btnCalc\">Calculate<\/button>\n <\/div>\n <\/div>\n <\/div>\n\n \n <div id=\"gmp-resultsPanel\" class=\"gmp-card gmp-hidden\">\n <div class=\"gmp-card-header\">Evaluation Results<\/div>\n <div class=\"gmp-card-body\">\n\n <div id=\"gmp-statusBadge\" class=\"gmp-status-badge gmp-acceptable\">\n Awaiting Calculation\u2026\n <\/div>\n\n <div class=\"gmp-metric-grid\">\n <div class=\"gmp-metric-box\" id=\"gmp-boxDeltaHB\">\n <div class=\"gmp-label\">Hardness Delta (\u0394HB)<\/div>\n <div class=\"gmp-value\" id=\"gmp-valDeltaHB\">\u2014<\/div>\n <div class=\"gmp-sub\" id=\"gmp-subDeltaHB\">HB\u2081 \u2212 HB\u2082 (converted)<\/div>\n <\/div>\n <div class=\"gmp-metric-box\" id=\"gmp-boxSurface\">\n <div class=\"gmp-label\">Surface Classification<\/div>\n <div class=\"gmp-value gmp-surface-value\" id=\"gmp-valSurface\">\u2014<\/div>\n <div class=\"gmp-sub\" id=\"gmp-subSurface\">Soft \/ Hard tooth surface<\/div>\n <\/div>\n <div class=\"gmp-metric-box\" id=\"gmp-boxRatioF\">\n <div class=\"gmp-label\">Bending Stress Ratio<\/div>\n <div class=\"gmp-value\" id=\"gmp-valRatioF\">\u2014<\/div>\n <div class=\"gmp-sub\">\u03c3<sub>F1<\/sub> \/ \u03c3<sub>F2<\/sub><\/div>\n <\/div>\n <div class=\"gmp-metric-box\" id=\"gmp-boxRatioH\">\n <div class=\"gmp-label\">Contact Stress Ratio<\/div>\n <div class=\"gmp-value\" id=\"gmp-valRatioH\">\u2014<\/div>\n <div class=\"gmp-sub\">\u03c3<sub>H1<\/sub> \/ \u03c3<sub>H2<\/sub><\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-ratio-row\">\n <div class=\"gmp-ratio-label\"><span>Bending: \u03c3<sub>F1<\/sub>\/\u03c3<sub>F2<\/sub><\/span><span id=\"gmp-ratioFLabel\">\u2014<\/span><\/div>\n <div class=\"gmp-ratio-bar-bg\"><div class=\"gmp-ratio-bar-fill gmp-ok\" id=\"gmp-barF\" style=\"width:50%\"><\/div><\/div>\n <\/div>\n <div class=\"gmp-ratio-row\">\n <div class=\"gmp-ratio-label\"><span>Contact: \u03c3<sub>H1<\/sub>\/\u03c3<sub>H2<\/sub><\/span><span id=\"gmp-ratioHLabel\">\u2014<\/span><\/div>\n <div class=\"gmp-ratio-bar-bg\"><div class=\"gmp-ratio-bar-fill gmp-ok\" id=\"gmp-barH\" style=\"width:50%\"><\/div><\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Validation Alerts<\/div>\n <ul class=\"gmp-alert-list\" id=\"gmp-alertList\">\n <li class=\"gmp-info\">Configure inputs and click “Calculate” to begin.<\/li>\n <\/ul>\n\n <div class=\"gmp-rec-box\">\n <h4>Design Recommendations<\/h4>\n <ul id=\"gmp-recList\">\n <li>Results will appear here after calculation.<\/li>\n <\/ul>\n <\/div>\n\n <div class=\"gmp-geo-results\" id=\"gmp-geoResults\">\n <div class=\"gmp-geo-item\">\n <div class=\"gmp-g-label\">Torque T\u2081<\/div>\n <div class=\"gmp-g-val\" id=\"gmp-geoTorque\">\u2014<\/div>\n <\/div>\n <div class=\"gmp-geo-item\">\n <div class=\"gmp-g-label\">Gear Ratio u<\/div>\n <div class=\"gmp-g-val\" id=\"gmp-geoRatio\">\u2014<\/div>\n <\/div>\n <div class=\"gmp-geo-item\">\n <div class=\"gmp-g-label\">Pinion Cycles \/ Gear Cycle<\/div>\n <div class=\"gmp-g-val\" id=\"gmp-geoCycles\">\u2014<\/div>\n <\/div>\n <\/div>\n\n <\/div>\n <\/div>\n\n<\/div>\n\n<script>\n(function(){\n function boot(){\n var 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{"id":24591,"date":"2026-08-11T00:56:54","date_gmt":"2026-08-11T00:56:54","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=24591"},"modified":"2026-08-11T01:10:08","modified_gmt":"2026-08-11T01:10:08","slug":"gear-material-pair-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/ar\/gear-material-pair-calculator\/","title":{"rendered":"Gear Material Pair Calculator"},"content":{"rendered":"\n

The Gear Material Pair Calculator<\/strong> is a practical engineering tool designed to help users evaluate and select suitable material combinations for mating gears. By considering key factors such as gear material properties, hardness, strength, wear resistance, friction, and operating conditions, the calculator supports more reliable gear material selection. The Gear Material Pair Calculator<\/strong> is useful for engineers, designers, and technicians working with gearboxes, industrial machinery, automotive transmissions, and other power transmission systems. It can help compare different gear material pairs, reduce excessive wear, improve durability, and support efficient gear design decisions. Whether you are designing a new gear system or optimizing an existing transmission, this calculator provides a convenient way to assess material compatibility and improve the performance and service life of gear components.<\/p>\n\n\n\n\n\n\n \n \n Gear Material Pair Calculator<\/title>\n<\/head>\n<body>\n<div id=\"gmp-calc-root\" class=\"gmp-calc-root\">\n\n<style>\n \/* Scoped styles - all rules live under #gmp-calc-root only *\/\n #gmp-calc-root {\n --gmp-navy: #1a2332;\n --gmp-navy-light: #243044;\n --gmp-accent: #2563eb;\n --gmp-accent-dim: #1d4ed8;\n --gmp-bg: #ffffff;\n --gmp-card: #ffffff;\n --gmp-border: #d1d9e6;\n --gmp-text: #1e293b;\n --gmp-muted: #64748b;\n --gmp-success: #16a34a;\n --gmp-warning: #d97706;\n --gmp-danger: #dc2626;\n --gmp-radius: 10px;\n --gmp-shadow: 0 2px 12px rgba(26,35,50,.08);\n\n box-sizing: border-box;\n font-family: \"Segoe UI\", system-ui, -apple-system, sans-serif;\n font-size: 16px;\n line-height: 1.55;\n color: var(--gmp-text);\n background: var(--gmp-bg);\n max-width: 1000px;\n width: 100%;\n margin: 0 auto;\n padding: 1.5rem;\n display: flex;\n flex-direction: column;\n gap: 1.5rem;\n }\n\n #gmp-calc-root *,\n #gmp-calc-root *::before,\n #gmp-calc-root *::after {\n box-sizing: border-box;\n }\n\n #gmp-calc-root .gmp-card {\n display: block;\n background: var(--gmp-card);\n border: 1px solid var(--gmp-border);\n border-radius: var(--gmp-radius);\n box-shadow: var(--gmp-shadow);\n overflow: hidden;\n }\n\n #gmp-calc-root .gmp-card-header {\n background: var(--gmp-navy);\n color: #fff;\n padding: .75rem 1.25rem;\n font-size: .95rem;\n font-weight: 600;\n letter-spacing: .03em;\n text-transform: uppercase;\n margin: 0;\n }\n\n #gmp-calc-root .gmp-card-body {\n padding: 1.25rem;\n }\n\n #gmp-calc-root .gmp-section-title {\n font-size: .78rem;\n font-weight: 700;\n text-transform: uppercase;\n letter-spacing: .06em;\n color: var(--gmp-accent);\n margin: 1.1rem 0 .6rem;\n padding-bottom: .3rem;\n border-bottom: 1px solid var(--gmp-border);\n }\n\n #gmp-calc-root .gmp-section-title:first-child {\n margin-top: 0;\n }\n\n #gmp-calc-root .gmp-form-row {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: .75rem;\n margin-bottom: .75rem;\n }\n\n #gmp-calc-root .gmp-form-row.gmp-single {\n grid-template-columns: 1fr;\n }\n\n @media (max-width: 560px) {\n #gmp-calc-root .gmp-form-row {\n grid-template-columns: 1fr;\n }\n }\n\n #gmp-calc-root label {\n display: block;\n font-size: .8rem;\n font-weight: 600;\n color: var(--gmp-muted);\n margin-bottom: .25rem;\n }\n\n #gmp-calc-root label .gmp-unit {\n font-weight: 400;\n color: #94a3b8;\n }\n\n #gmp-calc-root input[type=\"number\"],\n #gmp-calc-root select {\n width: 100%;\n max-width: 100%;\n padding: .5rem .65rem;\n border: 1px solid var(--gmp-border);\n border-radius: 6px;\n font-size: .88rem;\n font-family: inherit;\n color: var(--gmp-text);\n background: #fafbfc;\n transition: border-color .15s, box-shadow .15s;\n margin: 0;\n height: auto;\n line-height: normal;\n }\n\n #gmp-calc-root input[type=\"number\"]:focus,\n #gmp-calc-root select:focus {\n outline: none;\n border-color: var(--gmp-accent);\n box-shadow: 0 0 0 3px rgba(37,99,235,.15);\n background: #fff;\n }\n\n #gmp-calc-root .gmp-custom-fields {\n display: none;\n padding: .75rem;\n background: #f8fafc;\n border: 1px dashed var(--gmp-border);\n border-radius: 6px;\n margin-bottom: .75rem;\n }\n\n #gmp-calc-root .gmp-custom-fields.gmp-visible {\n display: block;\n }\n\n #gmp-calc-root .gmp-toggle-group {\n display: flex;\n gap: 0;\n margin-bottom: .75rem;\n border: 1px solid var(--gmp-border);\n border-radius: 6px;\n overflow: hidden;\n }\n\n #gmp-calc-root .gmp-toggle-group button {\n flex: 1;\n padding: .45rem;\n border: none;\n background: #f1f5f9;\n font-size: .82rem;\n font-family: inherit;\n font-weight: 600;\n color: var(--gmp-muted);\n cursor: pointer;\n transition: background .15s, color .15s;\n margin: 0;\n line-height: normal;\n text-transform: none;\n letter-spacing: normal;\n }\n\n #gmp-calc-root .gmp-toggle-group button.gmp-active {\n background: var(--gmp-accent);\n color: #fff;\n }\n\n #gmp-calc-root .gmp-btn-calc-wrap {\n display: flex;\n justify-content: center;\n margin-top: .5rem;\n }\n\n #gmp-calc-root .gmp-btn-calc {\n width: 33.333%;\n min-width: 120px;\n padding: .75rem;\n background: var(--gmp-accent);\n color: #fff;\n border: none;\n border-radius: 6px;\n font-size: .95rem;\n font-family: inherit;\n font-weight: 700;\n cursor: pointer;\n letter-spacing: .03em;\n transition: background .15s, transform .1s;\n margin: 0;\n line-height: normal;\n text-transform: none;\n }\n\n #gmp-calc-root .gmp-btn-calc:hover {\n background: var(--gmp-accent-dim);\n }\n\n #gmp-calc-root .gmp-btn-calc:active {\n transform: scale(.985);\n }\n\n #gmp-calc-root .gmp-status-badge {\n display: inline-flex;\n align-items: center;\n gap: .5rem;\n padding: .6rem 1.1rem;\n border-radius: 8px;\n font-size: 1rem;\n font-weight: 700;\n margin-bottom: 1rem;\n width: 100%;\n justify-content: center;\n }\n\n #gmp-calc-root .gmp-status-badge.gmp-excellent { background: #dcfce7; color: #15803d; border: 2px solid #86efac; }\n #gmp-calc-root .gmp-status-badge.gmp-acceptable { background: #fef9c3; color: #a16207; border: 2px solid #fde047; }\n #gmp-calc-root .gmp-status-badge.gmp-warning { background: #ffedd5; color: #c2410c; border: 2px solid #fdba74; }\n #gmp-calc-root .gmp-status-badge.gmp-danger { background: #fee2e2; color: #b91c1c; border: 2px solid #fca5a5; }\n\n #gmp-calc-root .gmp-metric-grid {\n display: grid;\n grid-template-columns: 1fr 1fr;\n gap: .75rem;\n margin-bottom: 1rem;\n }\n\n @media (max-width: 560px) {\n #gmp-calc-root .gmp-metric-grid {\n grid-template-columns: 1fr;\n }\n }\n\n #gmp-calc-root .gmp-metric-box {\n background: #f8fafc;\n border: 1px solid var(--gmp-border);\n border-radius: 8px;\n padding: .85rem 1rem;\n text-align: center;\n }\n\n #gmp-calc-root .gmp-metric-box .gmp-label {\n font-size: .72rem;\n font-weight: 600;\n color: var(--gmp-muted);\n text-transform: uppercase;\n letter-spacing: .04em;\n }\n\n #gmp-calc-root .gmp-metric-box .gmp-value {\n font-size: 1.45rem;\n font-weight: 700;\n margin: .2rem 0;\n }\n\n #gmp-calc-root .gmp-metric-box .gmp-sub {\n font-size: .75rem;\n color: var(--gmp-muted);\n }\n\n #gmp-calc-root .gmp-metric-box.gmp-ok .gmp-value { color: var(--gmp-success); }\n #gmp-calc-root .gmp-metric-box.gmp-warn .gmp-value { color: var(--gmp-warning); }\n #gmp-calc-root .gmp-metric-box.gmp-fail .gmp-value { color: var(--gmp-danger); }\n\n #gmp-calc-root .gmp-alert-list {\n list-style: none;\n margin: 0 0 1rem;\n padding: 0;\n }\n\n #gmp-calc-root .gmp-alert-list li {\n padding: .55rem .75rem;\n border-radius: 6px;\n font-size: .84rem;\n margin-bottom: .4rem;\n display: flex;\n align-items: flex-start;\n gap: .5rem;\n }\n\n #gmp-calc-root .gmp-alert-list li.gmp-info { background: #eff6ff; color: #1e40af; border-left: 3px solid var(--gmp-accent); }\n #gmp-calc-root .gmp-alert-list li.gmp-success { background: #f0fdf4; color: #166534; border-left: 3px solid var(--gmp-success); }\n #gmp-calc-root .gmp-alert-list li.gmp-warn-item { background: #fffbeb; color: #92400e; border-left: 3px solid var(--gmp-warning); }\n #gmp-calc-root .gmp-alert-list li.gmp-danger { background: #fef2f2; color: #991b1b; border-left: 3px solid var(--gmp-danger); }\n\n #gmp-calc-root .gmp-rec-box {\n background: #f0f4ff;\n border: 1px solid #bfdbfe;\n border-radius: 8px;\n padding: 1rem;\n }\n\n #gmp-calc-root .gmp-rec-box h4 {\n font-size: .85rem;\n color: var(--gmp-navy);\n margin: 0 0 .5rem;\n font-weight: 700;\n line-height: 1.4;\n }\n\n #gmp-calc-root .gmp-rec-box ul {\n list-style: disc;\n padding-left: 1.2rem;\n margin: 0;\n font-size: .84rem;\n color: var(--gmp-text);\n }\n\n #gmp-calc-root .gmp-rec-box li {\n margin-bottom: .35rem;\n }\n\n #gmp-calc-root .gmp-ratio-row {\n margin-bottom: .75rem;\n }\n\n #gmp-calc-root .gmp-ratio-label {\n display: flex;\n justify-content: space-between;\n font-size: .78rem;\n font-weight: 600;\n color: var(--gmp-muted);\n margin-bottom: .25rem;\n }\n\n #gmp-calc-root .gmp-ratio-bar-bg {\n height: 10px;\n background: #e2e8f0;\n border-radius: 5px;\n overflow: hidden;\n }\n\n #gmp-calc-root .gmp-ratio-bar-fill {\n height: 100%;\n border-radius: 5px;\n transition: width .3s;\n }\n\n #gmp-calc-root .gmp-ratio-bar-fill.gmp-ok { background: var(--gmp-success); }\n #gmp-calc-root .gmp-ratio-bar-fill.gmp-warn { background: var(--gmp-warning); }\n #gmp-calc-root .gmp-ratio-bar-fill.gmp-fail { background: var(--gmp-danger); }\n\n #gmp-calc-root .gmp-geo-results {\n display: grid;\n grid-template-columns: repeat(3, 1fr);\n gap: .5rem;\n margin-top: .75rem;\n padding-top: .75rem;\n border-top: 1px solid var(--gmp-border);\n }\n\n #gmp-calc-root .gmp-geo-item {\n text-align: center;\n }\n\n #gmp-calc-root .gmp-g-label {\n font-size: .7rem;\n color: var(--gmp-muted);\n text-transform: uppercase;\n }\n\n #gmp-calc-root .gmp-g-val {\n font-size: 1.1rem;\n font-weight: 700;\n color: var(--gmp-navy);\n }\n\n #gmp-calc-root .gmp-hardness-unit {\n max-width: 90px;\n }\n\n #gmp-calc-root .gmp-no-margin {\n margin-bottom: 0;\n }\n\n #gmp-calc-root .gmp-hidden {\n display: none !important;\n }\n\n #gmp-calc-root #gmp-resultsPanel.gmp-results-shown {\n display: block !important;\n }\n\n #gmp-calc-root .gmp-surface-value {\n font-size: 1rem;\n }\n<\/style>\n\n \n <div class=\"gmp-card\">\n <div class=\"gmp-card-header\">Input Parameters<\/div>\n <div class=\"gmp-card-body\">\n\n <div class=\"gmp-section-title\">Pinion Material<\/div>\n <div class=\"gmp-form-row gmp-single\">\n <div>\n <label for=\"gmp-pinionMaterial\">Material Selection<\/label>\n <select id=\"gmp-pinionMaterial\">\n <option value=\"20CrMnTi\">20CrMnTi (Carburized)<\/option>\n <option value=\"40Cr\">40Cr (Quenched & Tempered)<\/option>\n <option value=\"45Steel\">45 Steel (Normalized \/ Quenched)<\/option>\n <option value=\"42CrMo\">42CrMo (Nitrided \/ Q&T)<\/option>\n <option value=\"Bronze\">Bronze (Worm \/ Special Pairs)<\/option>\n <option value=\"custom\">Custom Material<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div id=\"gmp-pinionCustom\" class=\"gmp-custom-fields\">\n <div class=\"gmp-form-row\">\n <div>\n <label for=\"gmp-sigmaF1\">Allowable Bending Stress [\u03c3<sub>F1<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaF1\" min=\"1\" step=\"1\" value=\"500\" \/>\n <\/div>\n <div>\n <label for=\"gmp-sigmaH1\">Allowable Contact Stress [\u03c3<sub>H1<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaH1\" min=\"1\" step=\"1\" value=\"1350\" \/>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Gear Material<\/div>\n <div class=\"gmp-form-row gmp-single\">\n <div>\n <label for=\"gmp-gearMaterial\">Material Selection<\/label>\n <select id=\"gmp-gearMaterial\">\n <option value=\"40Cr\">40Cr (Quenched & Tempered)<\/option>\n <option value=\"20CrMnTi\">20CrMnTi (Carburized)<\/option>\n <option value=\"45Steel\">45 Steel (Normalized \/ Quenched)<\/option>\n <option value=\"42CrMo\">42CrMo (Nitrided \/ Q&T)<\/option>\n <option value=\"Bronze\">Bronze (Worm \/ Special Pairs)<\/option>\n <option value=\"custom\">Custom Material<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div id=\"gmp-gearCustom\" class=\"gmp-custom-fields\">\n <div class=\"gmp-form-row\">\n <div>\n <label for=\"gmp-sigmaF2\">Allowable Bending Stress [\u03c3<sub>F2<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaF2\" min=\"1\" step=\"1\" value=\"370\" \/>\n <\/div>\n <div>\n <label for=\"gmp-sigmaH2\">Allowable Contact Stress [\u03c3<sub>H2<\/sub>] <span class=\"gmp-unit\">(MPa)<\/span><\/label>\n <input type=\"number\" id=\"gmp-sigmaH2\" min=\"1\" step=\"1\" value=\"1000\" \/>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Hardness Parameters<\/div>\n <div class=\"gmp-form-row\">\n <div>\n <label for=\"gmp-pinionHardness\">Pinion Hardness<\/label>\n <div class=\"gmp-form-row gmp-no-margin\">\n <input type=\"number\" id=\"gmp-pinionHardness\" min=\"1\" step=\"0.1\" value=\"58\" \/>\n <select id=\"gmp-pinionHardnessUnit\" class=\"gmp-hardness-unit\">\n <option value=\"HRC\">HRC<\/option>\n <option value=\"HBW\">HBW<\/option>\n <\/select>\n <\/div>\n <\/div>\n <div>\n <label for=\"gmp-gearHardness\">Gear Hardness<\/label>\n <div class=\"gmp-form-row gmp-no-margin\">\n <input type=\"number\" id=\"gmp-gearHardness\" min=\"1\" step=\"0.1\" value=\"32\" \/>\n <select id=\"gmp-gearHardnessUnit\" class=\"gmp-hardness-unit\">\n <option value=\"HRC\">HRC<\/option>\n <option value=\"HBW\">HBW<\/option>\n <\/select>\n <\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Geometry & Load<\/div>\n <div class=\"gmp-toggle-group\" id=\"gmp-powerTorqueToggle\">\n <button type=\"button\" class=\"gmp-active\" data-mode=\"power\">Power (P)<\/button>\n <button type=\"button\" data-mode=\"torque\">Torque (T\u2081)<\/button>\n <\/div>\n <div class=\"gmp-form-row\">\n <div id=\"gmp-powerField\">\n <label for=\"gmp-power\">Transmitted Power (P) <span class=\"gmp-unit\">(kW)<\/span><\/label>\n <input type=\"number\" id=\"gmp-power\" min=\"0.01\" step=\"0.1\" value=\"15\" \/>\n <\/div>\n <div id=\"gmp-torqueField\" class=\"gmp-hidden\">\n <label for=\"gmp-torque\">Pinion Torque (T\u2081) <span class=\"gmp-unit\">(N\u00b7m)<\/span><\/label>\n <input type=\"number\" id=\"gmp-torque\" min=\"0.1\" step=\"0.1\" value=\"200\" \/>\n <\/div>\n <div>\n <label for=\"gmp-speed\">Pinion Speed (n\u2081) <span class=\"gmp-unit\">(RPM)<\/span><\/label>\n <input type=\"number\" id=\"gmp-speed\" min=\"1\" step=\"1\" value=\"1450\" \/>\n <\/div>\n <\/div>\n\n <div class=\"gmp-toggle-group\" id=\"gmp-ratioTeethToggle\">\n <button type=\"button\" class=\"gmp-active\" data-mode=\"ratio\">Gear Ratio (u)<\/button>\n <button type=\"button\" data-mode=\"teeth\">Number of Teeth (z\u2081, z\u2082)<\/button>\n <\/div>\n <div class=\"gmp-form-row\" id=\"gmp-ratioField\">\n <div>\n <label for=\"gmp-ratio\">Gear Ratio (u = z\u2082\/z\u2081)<\/label>\n <input type=\"number\" id=\"gmp-ratio\" min=\"1.01\" step=\"0.01\" value=\"3.5\" \/>\n <\/div>\n <\/div>\n <div class=\"gmp-form-row gmp-hidden\" id=\"gmp-teethField\">\n <div>\n <label for=\"gmp-z1\">Pinion Teeth (z\u2081)<\/label>\n <input type=\"number\" id=\"gmp-z1\" min=\"6\" step=\"1\" value=\"20\" \/>\n <\/div>\n <div>\n <label for=\"gmp-z2\">Gear Teeth (z\u2082)<\/label>\n <input type=\"number\" id=\"gmp-z2\" min=\"7\" step=\"1\" value=\"70\" \/>\n <\/div>\n <\/div>\n\n <div class=\"gmp-btn-calc-wrap\">\n <button type=\"button\" class=\"gmp-btn-calc\" id=\"gmp-btnCalc\">Calculate<\/button>\n <\/div>\n <\/div>\n <\/div>\n\n \n <div id=\"gmp-resultsPanel\" class=\"gmp-card gmp-hidden\">\n <div class=\"gmp-card-header\">Evaluation Results<\/div>\n <div class=\"gmp-card-body\">\n\n <div id=\"gmp-statusBadge\" class=\"gmp-status-badge gmp-acceptable\">\n Awaiting Calculation\u2026\n <\/div>\n\n <div class=\"gmp-metric-grid\">\n <div class=\"gmp-metric-box\" id=\"gmp-boxDeltaHB\">\n <div class=\"gmp-label\">Hardness Delta (\u0394HB)<\/div>\n <div class=\"gmp-value\" id=\"gmp-valDeltaHB\">\u2014<\/div>\n <div class=\"gmp-sub\" id=\"gmp-subDeltaHB\">HB\u2081 \u2212 HB\u2082 (converted)<\/div>\n <\/div>\n <div class=\"gmp-metric-box\" id=\"gmp-boxSurface\">\n <div class=\"gmp-label\">Surface Classification<\/div>\n <div class=\"gmp-value gmp-surface-value\" id=\"gmp-valSurface\">\u2014<\/div>\n <div class=\"gmp-sub\" id=\"gmp-subSurface\">Soft \/ Hard tooth surface<\/div>\n <\/div>\n <div class=\"gmp-metric-box\" id=\"gmp-boxRatioF\">\n <div class=\"gmp-label\">Bending Stress Ratio<\/div>\n <div class=\"gmp-value\" id=\"gmp-valRatioF\">\u2014<\/div>\n <div class=\"gmp-sub\">\u03c3<sub>F1<\/sub> \/ \u03c3<sub>F2<\/sub><\/div>\n <\/div>\n <div class=\"gmp-metric-box\" id=\"gmp-boxRatioH\">\n <div class=\"gmp-label\">Contact Stress Ratio<\/div>\n <div class=\"gmp-value\" id=\"gmp-valRatioH\">\u2014<\/div>\n <div class=\"gmp-sub\">\u03c3<sub>H1<\/sub> \/ \u03c3<sub>H2<\/sub><\/div>\n <\/div>\n <\/div>\n\n <div class=\"gmp-ratio-row\">\n <div class=\"gmp-ratio-label\"><span>Bending: \u03c3<sub>F1<\/sub>\/\u03c3<sub>F2<\/sub><\/span><span id=\"gmp-ratioFLabel\">\u2014<\/span><\/div>\n <div class=\"gmp-ratio-bar-bg\"><div class=\"gmp-ratio-bar-fill gmp-ok\" id=\"gmp-barF\" style=\"width:50%\"><\/div><\/div>\n <\/div>\n <div class=\"gmp-ratio-row\">\n <div class=\"gmp-ratio-label\"><span>Contact: \u03c3<sub>H1<\/sub>\/\u03c3<sub>H2<\/sub><\/span><span id=\"gmp-ratioHLabel\">\u2014<\/span><\/div>\n <div class=\"gmp-ratio-bar-bg\"><div class=\"gmp-ratio-bar-fill gmp-ok\" id=\"gmp-barH\" style=\"width:50%\"><\/div><\/div>\n <\/div>\n\n <div class=\"gmp-section-title\">Validation Alerts<\/div>\n <ul class=\"gmp-alert-list\" id=\"gmp-alertList\">\n <li class=\"gmp-info\">Configure inputs and click “Calculate” to begin.<\/li>\n <\/ul>\n\n <div class=\"gmp-rec-box\">\n <h4>Design Recommendations<\/h4>\n <ul id=\"gmp-recList\">\n <li>Results will appear here after calculation.<\/li>\n <\/ul>\n <\/div>\n\n <div class=\"gmp-geo-results\" id=\"gmp-geoResults\">\n <div class=\"gmp-geo-item\">\n <div class=\"gmp-g-label\">Torque T\u2081<\/div>\n <div class=\"gmp-g-val\" id=\"gmp-geoTorque\">\u2014<\/div>\n <\/div>\n <div class=\"gmp-geo-item\">\n <div class=\"gmp-g-label\">Gear Ratio u<\/div>\n <div class=\"gmp-g-val\" id=\"gmp-geoRatio\">\u2014<\/div>\n <\/div>\n <div class=\"gmp-geo-item\">\n <div class=\"gmp-g-label\">Pinion Cycles \/ Gear Cycle<\/div>\n <div class=\"gmp-g-val\" id=\"gmp-geoCycles\">\u2014<\/div>\n <\/div>\n <\/div>\n\n <\/div>\n <\/div>\n\n<\/div>\n\n<script>\n(function(){\n function boot(){\n var 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