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T-5
SECTION 17
STRENGTH AND DURABILITY OF GEARS ......................................... T-150
17.1 Bending Strength Of Spur And Helical Gears ....................................................... T-150
17.1.1
Determination of Factors in the Bending Strength Equation ................ T-151
17.1.2
Tooth Profile Factor, YF ........................................................................... T-151
17.1 3
Load Distribution Factor, Ye ..................................................................... T-151
17.1 4
Helix Angle Factor, Yb .............................................................................. T-153
17.1.5
Life Factor, KL ........................................................................................... T-154
17.1.6
Dimension Factor of Root Stress, KFX .................................................... T-154
17.1.7
Dynamic Load Factor, KV ......................................................................... T-154
17.1.8
Overload Factor, KO ................................................................................. T-155
17.1.9
Safety Factor of Bending Failure, SF ...................................................... T-155
17.1.10 Allowable Bending Stress at Root, sF lim ................................................. T-155
17.1.11 Example of Bending Strength Calculation ............................................. T-159
17.2 Surface Strength Of Spur And Helical Gears ........................................................ T-160
17.2.1
Conversion Formulas ............................................................................... T-160
17.2.2
Surface Strength Equations .................................................................... T-160
17.2.3
Determination of Factors in the Surface Strength Equations ............... T-160
17.2.4
Contact Ratio Factor, Ze .......................................................................... T-162
17.2.5
Helix Angle Factor, Zb .............................................................................. T-163
17.2.6
Life Factor, KHL ......................................................................................... T-163
17.2.7
Lubricant Factor, ZL ................................................................................. T-163
17.2.8
Surface Roughness Factor, ZR ................................................................ T-163
17.2.9
Sliding Speed Factor, ZV ......................................................................... T-164
17.2.10 Hardness Ratio Factor, ZW ...................................................................... T-164
17.2.11 Dimension Factor, KHX ............................................................................. T-164
17.2.12 Tooth Flank Load Distribution Factor, KHb .............................................. T-164
17.2.13 Dynamic Load Factor, KV ......................................................................... T-165
17.2.14 Overload Factor, KO ................................................................................. T-165
17.2.15 Safety Factor for Pitting, SH ..................................................................... T-165
17.2.16 Allowable Hertz Stress, sH lim ................................................................... T-165
17.2.17 Example of Surface Stress Calculation .................................................. T-170
17.3 Bending Strength Of Bevel Gears .......................................................................... T-171
17.3.1
Conversion Formulas ............................................................................... T-171
17.3.2
Bending Strength Equations ................................................................... T-172
17.3.3
Determination of Factors in Bending Strength Equations ..................... T-172
17.3.4
Examples of Bevel Gear Bending Strength Calculations ...................... T-179
17.4 Surface Strength Of Bevel Gears .......................................................................... T-180
17.4.1
Basic Conversion Formulas .................................................................... T-180
17.4.2
Surface Strength Equations .................................................................... T-180
17.4.3
Determination of Factors in Surface Strength Equations ..................... T-181
17.4.4
Examples of Bevel Gear Surface Strength Calculations ...................... T-184
17.5 Strength Of Worm Gearing ..................................................................................... T-185
17.5.1
Basic Formulas ......................................................................................... T-185
17.5.2
Torque, Tangential Force and Efficiency ............................................... T-186
17.5.3
Friction Coefficient, m ............................................................................... T-186
17.5.4
Surface Strength of Worm Gearing Mesh .............................................. T-187
17.5.5
Determination of Factors in Worm Gear Surface Strength Equations ..... T-188
17.5.6
Examples of Worm Mesh Strength Calculation ..................................... T-193