barcode vb.net 2010 FIGURE 10.39 Oblique contact line. Full buttressing exists when Fa one addendum. in Software

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FIGURE 10.39 Oblique contact line. Full buttressing exists when Fa one addendum.
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Ch = 1.0 Ch = where 1.0 1 [( /100) (1 /100)]1/2
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(10.71) (10.72)
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= tan 1 (tan o sin No) = inclination angle, deg o = helix angle at operating pitch diameter, deg [Eq. (10.13)] No = operating normal pressure angle, deg [Eq. (10.14)]
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The tooth form factor Y may now be calculated from Eq. (10.49). The stress correction factor is the last item which must be calculated prior to finding a value for the bending geometry factor J. Based on photoelastic studies by Dolan and Broghamer, the empirical relations shown in Eqs. (10.73) through (10.76) were developed: Kf = H + t rf
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(10.73)
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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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HELICAL GEARS 10.39
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H = 0.18 0.008( No 20) L = H 0.03 m = 0.45 + 0.010( No 20)
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(10.74) (10.75) (10.76)
Elastic Coefficient Cp. This factor accounts for the elastic properties of various gear materials. It is given by Eq. (10.77).Table 10.4 provides values directly for Cp for various material combinations, for which Poisson s ratio is 0.30.
TABLE 10.4 Values of Elastic Coefficient Cp for Helical Gears with Nonlocalized Contact and for = 0.30
Cp = where
1 2 [(1 )/EP + (1 G )/EG]
(10.77)
P, G = Poisson s ratio for pinion and gear, respectively EP, EG = modulus of elasticity for pinion and gear, respectively
Allowable Stresses sac and sat. The allowable stresses depend on many factors, such as chemical composition, mechanical properties, residual stresses, hardness, heat treatment, and cleanliness. As a guide, the allowable stresses for helical gears may be obtained from Tables 10.5 and 10.6 or Figs. 10.40 and 10.41. Where a range of values is shown, the lowest values are used for general design. The upper values may be used only when the designer has certified that 1. 2. 3. 4. High-quality material is used. Section size and design allow maximum response to heat treatment. Proper quality control is effected by adequate inspection. Operating experience justifies their use.
Surface-hardened gear teeth require adequate case depth to resist the subsurface shear stresses developed by tooth contact loads and the tooth root fillet tensile stresses. But depths must not be so great as to result in brittle tooth tips and high residual tensile stress in the core.
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HELICAL GEARS
TABLE 10.5 Allowable Bending Stress Numbers sat and Contact Stress Numbers sac for a Variety of Materials
10.40 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.
HELICAL GEARS
10.41 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.
HELICAL GEARS 10.42
GEARING
TABLE 10.6 Reliability Factors KR and CR
The effective case depth for carburized and induction-hardened gears is defined as the depth below the surface at which the Rockwell C hardness has dropped to 50 RC or to 5 points below the surface hardness, whichever is lower. The values and ranges shown in Fig. 10.42 have had a long history of successful use for carburized gears and can be used as guides. For gearing in which maximum performance is required, detailed studies must be made of the application, loading, and manufacturing procedures to obtain desirable gradients of both hardness and internal stress. Furthermore, the method of measuring the case, as well as the allowable tolerance in case depth, should be a matter of agreement between the customer and the manufacturer.
FIGURE 10.40 Allowable contact stress number sac for steel gears. Lower curve is maximum for grade 1 and upper curve is maximum for grade 2. (From Ref. [10.1].)
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