Pinion designs

The purpose of this book is to provide both the student and young professional design engineer with an overall guide to the amount of work involved in the design of a manually operated automotive gearbox, and the problems that can be encountered both during the design stages and in operation.
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CONTENTS CONTENTS C H A P T E R Spur Gears 1. Introduction. 2. Friction Wheels. 3. Advantages and Disadvantages of Gear Drives. 4. Classification of Gears. 5. Terms used in Gears. 6. Condition for Constant Velocity Ratio of Gears–Law of Gearing. 7. Forms of Teeth. 8. Cycloidal Teeth. 9. Involute Teeth. 10. Comparison Between Involute and Cycloidal Gears. 11. Systems of Gear Teeth. 12. Standard Proportions of Gear Systems. 13. Interference in Involute Gears. 14. Minimum Number of Teeth on the Pinion in order to Avoid Interference. 15. Gear Materials. 16.
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Spur gears are used to transmit rotary motion between parallel shafts. They are cylindrical, and the teeth are straight and parallel to the axis of rotation. The pinion is the smaller of two mating gears; the larger is called the gear or the wheel. The pitch circle, B in Fig. 33.1, is a theoretical circle upon which all calculations are based. The operating pitch circles of a pair of gears in mesh are tangent to each other.
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The collective load is the basis for determining the average speeds (2,387 min–1) and the average driving speed (111 km/h). For each of the load cases the tooth load acting on the pinion and the reaction loads from the bearings have to be calculated both for forward and backward motion (percentage times 50 % each). In addition to these forces, the bearings are subjected to loads due to the rotor weight, the unbalanced magnetic pull, unbalanced loads and rail shocks. Of these loads only the rotor weight, GL, is known; therefore, it is multiplied by a supplementary factor fz = 1.
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NOMENCLATURE a A b B bhn BHN c C Cp d de D D1 E / fi Distance, exponent, constant Area, addition factor, IiNt Distance, width, exponent "Li2N1 Brinell hardness, roller or pinion Brinell hardness, cam or gear Exponent Coefficient of variation Materials constant in rolling contact Difference in stress level, diameter Equivalent diameter Damage per cycle or block of cycles Ideal critical diameter Young's modulus Fraction of mean ultimate tensile
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CHAPTER 33 SPUR GEARS Joseph E. Shigley Professor Emeritus The University of Michigan Ann Arbor, Michigan 33.1 33.2 33.3 33.4 DEFINITIONS / 33.1 TOOTH DIMENSIONS AND STANDARDS / 33.4 FORCE ANALYSIS / 33.5 FUNDAMENTAL AGMA RATING FORMULAS / 33.6 33.7 DEFINITIONS Spur gears are used to transmit rotary motion between parallel shafts. They are cylindrical, and the teeth are straight and parallel to the axis of rotation. The pinion is the smaller of two mating gears; the larger is called the gear or the wheel. The pitch circle, B in Fig. 33.
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The collective load is the basis for determining the average speeds (2,387 min–1) and the average driving speed (111 km/h). For each of the load cases the tooth load acting on the pinion and the reaction loads from the bearings have to be calculated both for forward and backward motion (percentage times 50 % each). In addition to these forces, the bearings are subjected to loads due to the rotor weight, the unbalanced magnetic pull, unbalanced loads and rail shocks. Of these loads only the rotor weight, GL, is known; therefore, it is multiplied by a supplementary factor fz = 1.5...2.
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1. Introduction. 2. Friction Wheels. 3. Advantages and Disadvantages of Gear Drives. 4. Classification of Gears. 5. Terms used in Gears. 6. Condition for Constant Velocity Ratio of Gears–Law of Gearing. 7. Forms of Teeth. 8. Cycloidal Teeth. 9. Involute Teeth. 10. Comparison Between Involute and Cycloidal Gears. 11. Systems of Gear Teeth. 12. Standard Proportions of Gear Systems. 13. Interference in Involute Gears. 14. Minimum Number of Teeth on the Pinion in order to Avoid Interference. 15. Gear Materials. 16. Design Considerations for a Gear Drive. 17.
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