A new method for accurately measuring the helix angle of helical gears

A new method for accurately measuring the helix angle of helical gears

Basic geometrical elements: modulus m; number of teeth z

name

Code

Calculation formula

Tooth top

Tooth root height

Tooth height

Index circle diameter

Tip circle diameter

Root diameter

Ha

Hf

h

d

Da

Df

Ha = m

Hf = 1.25 m

h = 2.25 m

d = mz

Da = m (z+2)

Df = m (z-2.5)



Circular Pitch (CP) Weekly

The diameter of the gear index circle diameter d can be expressed by the modulus (m), the diameter (DP) or the circumference (CP) and the number of teeth (z).

Diameter P (DP) refers to the number of teeth per inch in terms of the diameter of the gear circle (in inches)

The diameter section has a relationship with the modulus: m=25.4/DP

CP1/8' mode = 25.4/DP8 = 3.175 3.175 / 3.1416 (Ï€) = 1.0106 mm mode



Conditions: cylindrical straight teeth, standard tooth profile, standard mounting

[1] : Calculate the gear index circle diameter

4*20=80

[2] : The index circle coincides with the pitch circle due to the standard installation

Calculate the pitch circle radius = 80/2=40

[3] : Calculation center distance from the top of the ruler

Distance = pitch circle radius - modulus * 1.0

= 40-4*1

= 36

[4] : Calculation center distance to the root distance

Distance = pitch circle radius + modulus * 1.25

= 40 + 4*1.25

= 45

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