barcode vb.net 2010 HELICAL GEARS 10.36 in Software

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HELICAL GEARS 10.36
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FIGURE 10.37 Tooth form factor with load at highest point of single-tooth contact (HPSTC) shown in the normal plane through the pitch point. Note that rf occurs at the point where the trochoid meets the root radius. (From Ref. [10.1].)
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Doe = equivalent outside diameter of mating gear for equivalent number of teeth, in Dbe = equivalent base diameter of mating gear for equivalent number of teeth, in A = operating addendum of mating gear at 1 normal diametral pitch, in The dimensions defined by Eqs. (10.50) through (10.66) are then used to make a tooth-stress layout, as shown in either Fig. 10.37 or 10.38 as required by the facecontact ratio. That is, helical gears with low face-contact ratio (mF 1.0) are assumed to be loaded at the highest point of single-tooth contact; normal helical gears (mF > 1.0) use tip loading, and the Ch factor compensates for the actual loading on the oblique line. To find Y from the above data, a graphical construction, as follows, is required. For low-contact-ratio helical gears (with mF 1.0), using Fig. 10.37, draw a line aa through point p, the intersection of diameter dL with the profile, and tangent to the base diameter dbe: dL = 2 de 2
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where Zd = distance on line of action from highest point of single-tooth contact to pinion operating pitch circle, in inches, and so Zd = cos c Ze (10.68)
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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.
HELICAL GEARS 10.37
HELICAL GEARS
FIGURE 10.38 Tooth form factor layout with load at tooth tip; shown in normal plane through the pitch point. (From Ref. [10.1].)
Letting Ze = distance on line of action from gear outside diameter to pinion operating pitch circle, in inches, we have Ze = Doe 2
Dbe 2
De 2
Dbe 2
(10.69)
For normal helical gears with mF > 1.0, using Fig. 10.38, we find DL = doe. Draw a line aa through point p, the tip of the tooth profile, and tangent to the base diameter dbe. Continue the layout for all gear types as follows: Through point f, draw a line bb perpendicular to the tooth centerline. The included angle between lines aa and bb is load angle L. Draw line cde tangent to the tooth fillet radius rf at e, intersecting line bb at d and the tooth centerline at c so that cd = de. Draw line fe. Through point e, draw a line perpendicular to fe, intersecting the tooth centerline at n. Through point e, draw a line me perpendicular to the tooth centerline. Measure the following in inches from the tooth layout: mn = u me = t 2
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 10.38
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and mf = h (required for calculating Kf)
The helix-angle factor K is set equal to unity for helical gears with mF 1.0, but for helical gears with mF > 1.0, it is given by K = cos o cos (10.70)
where o = helix angle at operating pitch diameter [from Eq. (10.13)] and = helix angle at standard pitch diameter. The helical factor Ch is the ratio of the root bending moment produced by the same intensity of loading applied along the actual oblique contact line (Fig. 10.39). If the face width of one gear is substantially larger than that of its mate, then full buttressing may exist on the wider face gear. If one face is wider than its mate by at least one addendum on both sides, then the value of Ch defined below may be increased by 10 percent only. The helical factor is given by either Eq. (10.71) for low-contactratio helical gears (mF 1.0) or Eq. (10.72) for normal-contact-ratio (mF > 1.0) helicals. These equations are valid only for helix angles up to 30 :
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