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ELEMENTS OF METRIC GEAR TECHNOLOGY<br />

TABLE OF CONTENTS<br />

PHONE: 516.328.3300 • FAX: 516.326.8827 • WWW.<strong>SDP</strong>-<strong>SI</strong>.COM<br />

PAGE<br />

SECTION 17 STRENGTH AND DURABILITY OF GEARS ................................................................ T-<strong>15</strong>0<br />

17.1 Bending Strength Of Spur And Helical Gears............................................................ T-<strong>15</strong>0<br />

17.1.1 Determination of Factors in the Bending Strength Equation................ T-<strong>15</strong>1<br />

17.1.2 Tooth Profile Factor, Y F ............................................................................... T-<strong>15</strong>1<br />

17.1 3 Load Distribution Factor, Y e ....................................................................... T-<strong>15</strong>1<br />

17.1 4 Helix Angle Factor, Y b ................................................................................. T-<strong>15</strong>3<br />

17.1.5 Life Factor, K L ............................................................................................... T-<strong>15</strong>4<br />

17.1.6 Dimension Factor of Root Stress, K FX ....................................................... T-<strong>15</strong>4<br />

17.1.7 Dynamic Load Factor, K V ............................................................................ T-<strong>15</strong>4<br />

17.1.8 Overload Factor, K O ..................................................................................... T-<strong>15</strong>5<br />

17.1.9 Safety Factor of Bending Failure, S F ........................................................ T-<strong>15</strong>5<br />

17.1.<strong>10</strong> Allowable Bending Stress at Root, s F lim ................................................. T-<strong>15</strong>5<br />

17.1.<strong>11</strong> Example of Bending Strength Calculation............................................... T-<strong>15</strong>9<br />

17.2 Surface Strength Of Spur And Helical Gears............................................................. T-160<br />

17.2.1 Conversion Formulas................................................................................... T-160<br />

17.2.2 Surface Strength Equations....................................................................... T-160<br />

17.2.3 Determination of Factors in the Surface Strength Equations............... T-160<br />

17.2.4 Contact Ratio Factor, Z e ............................................................................. T-162<br />

17.2.5 Helix Angle Factor, Z b ................................................................................ T-163<br />

17.2.6 Life Factor, K HL .............................................................................................. T-163<br />

17.2.7 Lubricant Factor, Z L ..................................................................................... T-163<br />

17.2.8 Surface Roughness Factor, Z R .................................................................. T-163<br />

17.2.9 Sliding Speed Factor, Z V ............................................................................. T-164<br />

17.2.<strong>10</strong> Hardness Ratio Factor, Z W ......................................................................... T-164<br />

17.2.<strong>11</strong> Dimension Factor, K HX ................................................................................. T-164<br />

17.2.<strong>12</strong> Tooth Flank Load Distribution Factor, K Hb ............................................... T-164<br />

17.2.<strong>13</strong> Dynamic Load Factor, K V ............................................................................ T-165<br />

17.2.<strong>14</strong> Overload Factor, K O ..................................................................................... T-165<br />

17.2.<strong>15</strong> Safety Factor for Pitting, S H ....................................................................... T-165<br />

17.2.16 Allowable Hertz Stress, s H lim .................................................................... T-165<br />

17.2.17 Example of Surface Stress Calculation.................................................... T-170<br />

17.3 Bending Strength Of Bevel Gears................................................................................ T-171<br />

17.3.1 Conversion Formulas................................................................................... T-171<br />

17.3.2 Bending Strength Equations...................................................................... T-172<br />

17.3.3 Determination of Factors in Bending Strength Equations..................... T-172<br />

17.3.4 Examples of Bevel Gear Bending Strength Calculations...................... T-179<br />

17.4 Surface Strength Of Bevel Gears................................................................................. T-180<br />

17.4.1 Basic Conversion Formulas........................................................................ T-180<br />

17.4.2 Surface Strength Equations....................................................................... T-180<br />

17.4.3 Determination of Factors in Surface Strength Equations..................... T-181<br />

17.4.4 Examples of Bevel Gear Surface Strength Calculations....................... T-184<br />

17.5 Strength Of Worm Gearing............................................................................................ T-185<br />

17.5.1 Basic Formulas............................................................................................. T-185<br />

17.5.2 Torque, Tangential Force and Efficiency.................................................. T-186<br />

17.5.3 Friction Coefficient, m ................................................................................. T-186<br />

17.5.4 Surface Strength of Worm Gearing Mesh............................................... T-187<br />

17.5.5 Determination of Factors in Worm Gear Surface Strength EquationsT-188<br />

17.5.6 Examples of Worm Mesh Strength Calculation...................................... T-193<br />

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