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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
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BEVEL AND HYPOID GEARS
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Director of Research and Development Gleason Machine Division Rochester, New York
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Director, Gear Technology Gleason Machine Division Rochester, New York
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11.1 11.2 11.3 11.4 11.5 11.6 11.7
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INTRODUCTION / 11.1 TERMINOLOGY / 11.1 GEAR MANUFACTURING / 11.7 GEAR DESIGN CONSIDERATIONS / 11.10 GEAR-TOOTH DIMENSIONS / 11.19 GEAR STRENGTH / 11.25 DESIGN OF MOUNTINGS / 11.50
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11.1 INTRODUCTION
This chapter provides you with information necessary to design a bevel- or hypoidgear set. It includes guidelines for selecting the type and size of a gear set to suit the application requirements. Equations and graphs are provided for calculating geartooth geometry, strength, surface durability, and bearing loads. Although the text provides sufficient data to design a gear set, reference is also made to appropriate American Gear Manufacturer s Association (AGMA) publications and software available for computer-aided design.
11.2 TERMINOLOGY
11.2.1 Types of Bevel and Hypoid Gears Straight-bevel gears are the simplest form of bevel gears. The teeth are straight and tapered, and if extended inward, they would pass through the point of intersection of the axes. See Fig. 11.1. Spiral-bevel gears have teeth that are curved and oblique to their axes. The contact begins at one end of the tooth and progresses to the other. See Fig. 11.2. Zerol bevel gears have teeth that are in the same general direction as straightbevel gears and are curved similarly to spiral-bevel gears. See Fig. 11.3.
11.1 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.
BEVEL AND HYPOID GEARS 11.2
GEARING
FIGURE 11.1 Straight-bevel set. (Gleason Machine Division.)
FIGURE 11.2 Spiral-bevel Machine Division.)
set.
(Gleason
Hypoid gears are similar in appearance to spiral-bevel gears. They differ from spiral-bevel gears in that the axis of the pinion is offset from the axis of the gear. See Fig. 11.4.
11.2.2 Tooth Geometry The nomenclature used in this chapter relative to bevel and hypoid gears is illustrated in Figs. 11.5, 11.6, and 11.7. The following terms are used to define the geometry: Addendum of pinion (gear) ap (aG) is the height that the tooth projects above the pitch cone. Backlash allowance B is the amount by which the circular tooth thicknesses are reduced to provide the necessary backlash in assembly. Clearance c is the amount by which the dedendum in a given gear exceeds the addendum of its mating gear. Cone distance, mean Am is the distance from the apex of the pitch cone to the middle of the face width. Cone distance, outer Ao is the distance from the apex of the pitch cone to the outer ends of the teeth. Control gear is the term adopted for bevel gearing in place of the term master gear, which implies a gear with all tooth specifications held to close tolerances. Crown to crossing point on the pinion (gear) xo (Xo) is the distance in an axial section from the crown to the crossing point, measured in an axial direction. Cutter radius rc is the nominal radius of the face-type cutter or cup-shaped grinding wheel that is used to cut or grind the spiral-bevel teeth.
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BEVEL AND HYPOID GEARS 11.3
BEVEL AND HYPOID GEARS
FIGURE 11.3 Zerol bevel set. (Gleason Machine Division.)
FIGURE 11.4 Hypoid set. (Gleason Machine Division.)
FIGURE 11.5 Bevel-gear nomenclature axial plane. Section A-A is illustrated in Fig. 11.6.
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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