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TABLE 9.5 Load-Distribution Factors Cm and Km for Spur Gears Having a Face Width of 6 in (150 mm) and Greater
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allowable contact stress number, lb/in2 (MPa); see Fig.10.40 life factor for pitting resistance; use Fig.10.49 hardness ratio factor; use Figs. 10.47 and 10.48 temperature factor for pitting resistance; use 1.0 or more, but see Sec.10.5.1 CR = reliability factor for pitting resistance; use Table 10.6
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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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TABLE 9.6 Load-Distribution Factors Cm and Km for Spur Gears
Pitting Resistance Power Rating. The allowable power rating Pac for pitting resistance is given by nPF ICv 126 000 CsCmCf Ca nPF ICv 1.91(107 ) CsCmCf Ca dsac CLCH Cp CT CR dsac CLCH Cp CT CR
Pac =
(9.12) kW
9.4.2 Bending Strength The basic formula for the bending stress number in a gear tooth is Wt K a Pd K s K m Kv F J Wt K a 1.0 K s K m K v Fm J lb/in2 (9.13) MPa
St =
where
st = bending stress number, lb/in2 (MPa) Ka = application factor for bending strength; use Table 10.3 Ks = size factor for bending strength; use 1.0 or more until values are established Km = load distribution factor for bending strength; use Tables 9.5 and 9.6 Kv = dynamic factor for bending strength; use Fig.10.4; multiply v in meters per second by 197 to get feet per minute J = geometry factor for bending strength; use Eq. (10.46) with C = 1.0 and Figs.10.11 to 10.22 m = module, mm Pd = nominal diametral pitch, teeth per inch
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SPUR GEARS 9.11
SPUR GEARS
Allowable Bending Stress Number. The bending stress number st in Eq. (9.13) is related to the allowable bending stress number sat by st where sat KL KT KR = = = = satK L K T KR (9.14)
allowable bending stress number, lb/in2 (MPa); use Fig. 10.41 life factor for bending strength; use Figs. 10.49 and 10.50 temperature factor for bending strength; use 1.0 or more; see Sec. 10.5.1 reliability factor for bending strength; use Table 10.6
Bending Strength Power Rating. The allowable power rating Pat for bending strength is given by nP dK v FJ satK L 126 000K a Pd K s K m K RKT nP dK v J SatK L Fm 1.91(10)7K a K s K m K RKT hp (9.15) kW
Pat =
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SPUR GEARS
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.
Source: STANDARD HANDBOOK OF MACHINE DESIGN
HELICAL GEARS
Raymond J. Drago, P.E.
Senior Engineer, Advanced Power Train Technology Boeing Vertol Company Philadelphia, Pennsylvania
10.1 INTRODUCTION / 10.1 10.2 TYPES / 10.2 10.3 ADVANTAGES / 10.2 10.4 GEOMETRY / 10.5 10.5 LOAD RATING / 10.8 REFERENCES / 10.57
The following is quoted from the Foreword of Ref. [10.1]:
This AGMA Standard and related publications are based on typical or average data, conditions, or applications. The standards are subject to continual improvement, revision, or withdrawal as dictated by increased experience. Any person who refers to AGMA technical publications should be sure that he has the latest information available from the Association on the subject matter. Tables or other self-supporting sections may be quoted or extracted in their entirety. Credit line should read: Extracted from ANSI/AGMA #2001-C95 Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth, with the permission of the publisher, American Gear Manufacturers Association, Alexandria, Virginia.
This reference is cited because numerous American Gear Manufacturer s Association (AGMA) tables and figures are used in this chapter. In each case, the appropriate publication is noted in a footnote or figure caption.
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