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  3. How to calculate the size of the gear...

How to calculate the size of the gear

The calculation of Gear size involves multiple parameters, including modulus, tooth number, indexing circle diameter, tooth top circle diameter, tooth root circle diameter, etc. The following are the specific calculation steps and methods:

First, it is necessary to determine the basic parameters of the gear, including the modulus (m), the magnitude (z), etc. Module is an important parameter of gear, which represents the size of gear teeth. 


The diameter of the index circle (d) can be calculated by modulus and tooth number, and the formula is: d = m × z.

Calculate the diameter of the tooth apex circle (da) and the diameter of the tooth root circle (df). The diameter of the tooth top circle is the diameter of the circle passing through the top of the gear teeth, and the diameter of the tooth root circle is the diameter of the circle passing through the root of the tooth groove. 


They can be calculated by the following formula: da = d + 2 × ha* × m and df = d - ha* × m - c* × m, where ha is the top gap coefficient and c is the top gap height coefficient, usually ha* = 1, c* = 0.25.

Calculate the tooth height (h), tooth top height (ha) and tooth root height (hf). The tooth height is the radial distance between the tooth top circle and the indexing circle, and the tooth top height is the radial distance between the indexing circle and the tooth root circle. The relationship between them is: h = ha + hf. In standard gears, ha = ha* × m, hf = (ha* + c*) × m.



Calculate the gear width. Gear width is usually expressed as the tooth width coefficient. Different gear types have different tooth width coefficients. For example, the helical gear coefficient is 0.4, the herringbone gear coefficient is 0.5-1.0, the spur bevel gear tooth width = gear coefficient × outer cone distance; the turbine gear width = 0.65 × the worm indexing circle diameter.



The above is the basic calculation method for gear size. It should be noted that these calculations apply to standard gears, and additional corrections may be required for displacement gears or other special types of gears.

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