# Circular Thickness

on . Posted in Gear

Circular thickness, abbreviated as CT, of a gear is the thickness of the gear tooth measured along the circumference of the pitch circle.  The pitch circle is an imaginary circle that represents the average size of the gear teeth.  In gear terminology, there are different dimensions associated with gear teeth, and circular thickness is one of them.

The circular thickness of a gear tooth is determined by the specific tooth profile and the manufacturing process.  It is an essential parameter in gear design and manufacturing, as it affects the overall performance and functionality of the gear system.  The design of the gear tooth profile is crucial for ensuring smooth and efficient power transmission between gears.

## Circular Thickness formula

$$\large{ CT = \frac{ \pi \; PD }{ 2 \; n } }$$     (Circular Thickness)

$$\large{ PD = \frac{ 2 \; n \; CT }{ \pi } }$$

$$\large{ n = \frac{ 2 \; CT }{ \pi \; PD } }$$

Symbol English Metric
$$\large{ CT }$$ = circular thickness $$\large{in}$$ $$\large{mm}$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ PD }$$ = pitch diameter $$\large{in}$$ $$\large{mm}$$
$$\large{ n }$$ = number of teeth on the diameter $$\large{dimensionless}$$

## Circular Thickness formula

$$\large{ CT = \frac{1.57}{DP} }$$     (Circular Thickness)

$$\large{ DP = \frac{1.57}{CT} }$$

Symbol English Metric
$$\large{ CT }$$ = circular thickness $$\large{in}$$ $$\large{mm}$$
$$\large{ DP }$$ = dimetrical pitch $$\large{in}$$ $$\large{mm}$$

Tags: Gear