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HELICAL GEARS 10.49
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FIGURE 10.48 Hardness ratio factor CH for surface-hardened teeth. The rms values shown correspond to the surface finish of the pinion fp in microinches. (From Ref. [10.1].)
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In the case of a bending failure, the appearance of a crack in the fillet area is the criterion. In most cases, and for most materials, the progression of this crack to the point at which a tooth or a piece of tooth fractures is rather quick. A bending failure will almost always progress to the point where function is lost much more rapidly than a durability failure. For this reason it is sometimes desirable to use a higher value for KR than for CR. Because of the load sharing which occurs on most normal helical gears, a complete fracture of a full single tooth, as often occurs on a spur gear, is not usually the mode of failure on a helical gear. A certain redundancy is built into a helical gear, since initially only a piece of a tooth will normally fracture. Temperature Factors CT and KT. At gear blank operating temperatures below 250 F and above freezing, actual operating temperature has little effect on the allowable stress level for steel gears; thus a temperature factor of unity is used. At higher or lower temperatures, the allowable stress levels are altered considerably. Unfortunately, few hard data are available to define these effects. At very low tem-
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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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FIGURE 10.49 Pitting-resistance life factor CL. This curve does not apply where a service factor CSF is used. Note: The choice of CL above 107 cycles is influenced by lubrication regime, failure criteria, smoothness of operation required, pitch line velocity, gear material cleanliness, material ductility and fracture toughness, and residual stress. (From Ref. [10.1].)
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FIGURE 10.50 Bending-strength life factor KL. This chart does not apply where a service factor KSF is used. Note: The choice of KL above 3 106 cycles is influenced by pitch line velocity, gear material cleanliness, residual stress, gear material ductility, and fracture toughness. (From Ref. [10.1].)
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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 10.51
HELICAL GEARS
peratures, the impact resistance and fracture toughness of most materials are reduced; thus special care must be exercised in such designs if nonuniform loading is expected. A temperature factor greater than unity should be used in such cases. Although no specific data are available, a value between 1.25 and 1.50 is recommended for gears which must transmit full power between 0 and 50 F. At high temperatures, most materials experience a reduction in hardness level. Nonmetallic gears are not ordinarily used at high temperatures; thus our comments are restricted to steel gearing. The temperature factor should be chosen on the basis of the hot hardness curve for the particular material in use. That is, the temperature factor is equal to the allowable stress at room-temperature hardness divided by the allowable stress at the hardness corresponding to the higher temperature. For information related to typical trends, Fig. 10.51 shows the hardness-temperature characteristics for two gear steels (AISI 9310 and VASCO-X2). Two typical bearing steels (M-50 and SAE 52100) are also shown for reference purposes. Once the strength and durability analyses have been completed, the wear and scoring resistance of the gears must be defined. Wear (see Chap. 34) is usually a concern only for relatively low-speed gears, whereas scoring is a concern only for relatively high-speed gears. Wear. Gear-tooth wear is a very difficult phenomenon to predict analytically. Fortunately, it is not a major problem for most gear drives operating in the moderate- to
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