From Manual of Gear Design: Helical and Spiral Gears, Volume III

Helical Gear Mathematics Formulas and Examples

Table 2: Helical Gear Mathematics Formulas and Examples

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Table 2: Helical Gear Mathematics Formulas and Examples, continued

Table 2: Helical Gear Mathematics Formulas and Examples, continued


Products & Services
Gear Manufacturing Machines
Gear manufacturing machines are used to cut, form, and finish gear teeth. They perform processes such as hobbing, milling, grinding, lapping, and deburring.
Gear Pumps
Gear pumps use intermeshing gears to pump various types of liquids. Typically, one gear is the driver and the other is free wheeling. The gears have very tight tolerances so that the fluid being pumped cannot pass through them. Common uses for gear pumps include high pressure, metering, and flow control applications.
Helical Gears
Helical gears are cylindrilical gears whose teeth are not parallel to the axis of rotation. The teeth are angled and appear as a segment of a helix. Helical gears can transmit power between parallel or right angle axes.
Spur Gears

Spur gears are the simplest type of gear. Transmitting power between parallel axes, the teeth project radially on the disc.

Rack and Pinion Drives
Rack and pinion drives use a rotational motor to affect linear motion via a rack and pinion combination. They are used frequently in long-travel applications, such as machine tool table positioning, that require high stiffness and accuracy.

Topics of Interest

14 Full Depth Involute System (ASA-B6b-1933) Table 3: 14 Full Depth Involute System (ASA-B6b-1933) Table 3: 14 Full Depth Involute System (ASA-B6b-1933), continued Table 3: 14 Full Depth Involute...

Spiral Gear Mathematics Table 9: Spiral Gear Mathematics Table 9: Spiral Gear Mathematics, continued...

All ratios obtainable with any combination of two gears provided the number of teeth in each gear (or in gear and pinion) is 120 or less. Brocot's Tables of Gear Ratios Table 2: Brocot's Tables of...

Factors of Numbers from 1 6,000 Example: To find the factors of 931, locate page headed 500 1009 (page 109); opposite 93 in left-hand column and under 1 in top line (931) are the factors 7 2 and 19...

Peter A. Szego A survey of the entirety of applied mathematics is beyond the scope of this review. Instead we focus attention on a number of common stumbling blocks. Although all of these are of an...