Concept explainers
The power rating for new gear-set.
Answer to Problem 29P
The power rating for new gear-set is
Explanation of Solution
Write the expression for diameter of pinion.
Here, the number of teeth on pinion is
Write the expression for diameter of the gear.
Here, the number of teeth on gear is
Write the expression for velocity of the pinion.
Here, the number of rotation made by pinion is
Write the expression for constant of transmission accuracy level number.
Here, the transmission accuracy level number is
Write the expression for constant
Write the expression for dynamic factor.
Write the expression for allowable bending stress number through hardened steels.
Here, the brinel hardness number is
Write the expression for gear ratio.
Here, the number of teeth on gear is
Write the expression for stress cycle factor for bending for pinion.
Here, the number of cycles is
Write the expression for stress cycle factor for bending for gear.
Write the expression for allowable stress for pinion.
Here, the reliability factor is
Write the expression for allowable stress for gear.
Write the expression for load correction factor for uncrowned teeth.
Write the expression for pinion proportion factor.
Here, the face width is
Write the expression for pinion proportion modifier for straddle mounted pinion.
Write the expression for mesh alignment factor.
Here, the empirical constant is
Write the expression for mesh alignment correction factor.
Write the expression for load distribution factor
Write the expression for overload factor for pinion.
Here, the Lewis form factor for pinion is
Write the expression for overload factor for gear.
Here, the lewis form factor for gear is
Write the expression for transmitted load in pinion.
Here, the spur gear geometry factor for pinion is
Write the expression for power for pinion.
Write the expression for transmitted load for gear.
Here the spur gear geometry factor for gear is
Write the expression for power for gear.
Write the expression for pitting resistance stress cycle factor for pinion.
Write the expression for pitting resistance stress cycle factor for gear.
Write the expression for geometry factor.
Here, the pressure angle is
Write the expression for hardness ratio factor
Write the expression for contact fatigue strength for pinion.
Write the expression for contact fatigue strength for gear.
Write the expression for pinion contact endurance strength.
Write the expression for transmitted load.
Here, the elastic coefficient is
Write the expression for power of pinion.
Write the expression for gear contact strength.
Write the expression for transmitted load.
Write the expression for power of gear.
Write the expression for rated power.
Conclusion:
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Refer to table 14-9, “Empirical constant
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Refer Figure 14-6, “spur gear geometry factor”, to obtain the geometry factor for number of teeth
Since the thickness of gear is constant so
Rim thickness
Since the loading is uniform so
Refer table 14-2, “values of the lewis form factor
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Thus, the rating of speed reducer for power is
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Chapter 14 Solutions
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