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Gear Teeth

Every bulge in a gear used in meshing is called gear teeth, teeth, for short.

gear teeth tooth depth and face width5

Tooth Depth

Tooth depth refers to the radial distance (h) between addendum circle and dedendum circle. See Figure 5-25.

gear teeth tooth depth and face width7

Tooth depth includes addendum and dedendum. The formula isgear teeth tooth depth and face width6. Thegear teeth tooth depth and face width9here is the coefficient of variation of the addendum circle.

Addendum

Addendum refers to the radial distance (h) between addendum circle and reference circle (see Figure 5-25). The value isgear teeth tooth depth and face width6. Here, gear teeth tooth depth and face width9 is the coefficient of variation of addendum circle.

Dedendum

Addendum refers to the radial distance (h) between dedendum circle and reference circle (see Figure 5-25). The value isgear teeth tooth depth and face width10.

Working Depth

Each of the tip cylinders of the two mating gears has an intersection point with the line of centers. The shortest distance of the two intersection points is called working depth. See Figure 5-26.

gear teeth tooth depth and face width12

Chordal Height

Chordal height refers to the shortest distance from the center point of normal chordal tooth thickness to the crest. See Figure 5-27.

gear teeth tooth depth and face width11

Constant Chord Height

Constant chord height refers to the shortest distance between the center point of constant chord and the top land (see Figure 5-28). The formula for constant chord height is:

Standard involute cylindrical gear:

gear teeth tooth depth and face width15

As for external gear, Δh=0; As for internal gear, gear teeth tooth depth and face width13gear teeth tooth depth and face width14, when α=20 and gear teeth tooth depth and face width16, gear teeth tooth depth and face width17

Modified involute cylindrical gear:

gear teeth tooth depth and face width18. In this formula, as for “±”和“”, the upper symbols are applied in external gear while the lower symbols applied in internal gear.

When α=20, gear teeth tooth depth and face width20, for external gear, Δh=0; for internal gear, gear teeth tooth depth and face width13gear teeth tooth depth and face width22.

gear teeth tooth depth and face width23

Full-depth Tooth

Generally, full-depth tooth refers to the tooth depth with the addendum coefficient (h*a) being 1. With many merits, full-depth tooth is the most widely used depth nationwide.

High Tooth

High tooth is higher than full-depth tooth. High tooth refers to those whose addendum coefficient is higher than 1. This kind of tooth height is flexible and it has larger overlap ratio. But until now it is rarely used and under research.

Shortened Tooth

The tooth depth of shortened tooth is shorter than full-depth tooth. Generally, it refers to the tooth depth whose addendum coefficient is shorter than 1. Some countries stipulate standards for this kind of tooth. As it has few merits, it is rarely used except for special cases.

Intersection Circle(of Opposed Involutes)

Intersection circle (of opposed involutes) refers to the circle which is made by taking distance from the intersection of left and right side tooth profile of the transverse tooth of spur gear (or equivalent spur gear) to the axial line as semi diameter. See Figure 5-29.

gear teeth tooth depth and face width1

Face Width

Face width refers to the distance measured along the direction of reference cylindrical generatrix in the toothed portion of the gear. See Figure 5-30.

gear teeth tooth depth and face width2

Effective Face Width

Effective face width refers to the contacting width of a pair of meshing gears.

To ensure that the effective face width is no less than the face width affirmed during the calculation of strength, what is generally prescribed is that to take the width of bull gear as the face width of strength calculation. The face width of pinion gear is bigger than that of bull gear for 5-10mm. See Figure 5-31.

gear teeth tooth depth and face width3

Empty Tool Flute

Empty too flute refers to the non-tooth flute between the left and right side of duplicate gear or herringbone gear (Figure 5-32).

gear teeth tooth depth and face width4