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8.1 Karl Beach, Try These Formulas for Centrifugal Clutches, Product Engineering, July 9, 1962. 8.2 Arthur H. Burr, Mechanical Analysis and Design, Elsevier, New York, 1981. 8.3 G. A. Fazekas, On Circular Spot Brakes, Journal of Engineering for Industry, ASME Transactions, August 1972. 8.4 A. F. Gagne, Jr., Torque Capacity and Design of Cone and Disk Clutches, Product Engineering, December 1953. 8.5 John Proctor, Selecting Clutches for Mechanical Drives, Product Engineering, June 1961. 8.6 M. J. Neale (ed.), The Tribology Handbook, 2d ed., Butterworth, London, 1996. 8.7 Ferodo Limited, Friction Materials for Engineers, Chapel-en-le-Frith, England, 1968.
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Crouse, William H.: Automotive Brakes, Automotive Chassis and Body, 4th ed., McGrawHill, New York, 1971. Mathews, G. P.: Art and Science of Braking Heavy Duty Vehicles, special publication SP-251, Society of Automotive Engineers, Warrendale, Pa., 1964. Mischke, Charles R., Elements of Mechanical Analysis, Addison-Wesley, Reading, Mass., 1963, pp. 55 65. Mischke, Charles R., Mathematical Model Building, 2d rev. ed., Iowa State University Press, Ames, 1980, pp. 338 344. Remling, John: Brakes, Wiley, New York, 1978. Wong, J. Y.: Theory of Ground Vehicles, Wiley, New York, 1978.
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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Source: STANDARD HANDBOOK OF MACHINE DESIGN
SPUR GEARS
Joseph E. Shigley
Professor Emeritus The University of Michigan Ann Arbor, Michigan
9.1 9.2 9.3 9.4
DEFINITIONS / 9.3 TOOTH DIMENSIONS AND STANDARDS / 9.6 FORCE ANALYSIS / 9.7 FUNDAMENTAL AGMA RATING FORMULAS / 9.8
9.1 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. 9.1, 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. The circular pitch, p in Fig. 9.1, is the distance, measured on the theoretical pitch circle, from a point on one tooth to a corresponding point on an adjacent tooth. The circular pitch is measured in inches or in millimeters. Note, in Fig. 9.1, that the circular pitch is the sum of the tooth thickness t and the width of space. The pitch diameter, d for the pinion and D for the gear, is the diameter of the pitch circle; it is measured in inches or in millimeters. The module m is the ratio of the theoretical pitch diameter to the number of teeth N. The module is the metric index of tooth sizes and is always given in millimeters. The diametral pitch Pd is the ratio of the number of teeth on a gear to the theoretical pitch diameter. It is the index of tooth size when U.S. customary units are used and is expressed as teeth per inch. The addendum a is the radial distance between the top land F and the pitch circle B in Fig. 9.1. The dedendum b is the radial distance between the pitch circle B and the root circle D in Fig. 9.1. The whole depth h t is the sum of the addendum and dedendum. The clearance circle C in Fig. 9.1 is tangent to the addendum circle of the mating gear.The distance from the clearance circle to the bottom land is called the clearance c. Backlash is the amount by which the width of a tooth space exceeds the thickness of the engaging tooth measured on the pitch circle. Undercutting (see distance u in Fig. 9.1) occurs under certain conditions when a small number of teeth are used in cutting a gear. Table 9.1 lists all the relations described above. Additional terminology is shown in Fig. 9.2. Here line OP is the line of centers connecting the rotation axes of a pair of
9.3 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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