Toothed Belt Drive | Online Calculator

Drive Calculators

Toothed Belt Drive

Toothed-belt drives possess the main advantages of belt and chain drives. The teeth on the working surface of the belts slide into mesh with the teeth on the pulleys, which, in contrast to friction drive types, ensures operation with a constant gear ratio. These drives are used in a wide range of powers and rotational speeds and have the highest coefficient of efficiency. Tooth belts transmit less loads to the shafts and bearing units of the equipment compared to other types of belt drives.

The main characteristic of the belt is the tooth module, which is selected depending on the drive power and shaft speed.

To calculate the toothed-belt drive, it is necessary to set the drive pulley speed n, drive power P, gear ratio i, and preliminary center distance a. The calculated adjusted nominal center distance is a multiple of the pitch of the belt teeth. According to the results of the calculation, the dimensions of the drive, number and modulus of teeth, width of the belt and shaft loads are determined.

Toothed Belt Drives
Calculation of Toothed Belt Drives

INITIAL DATA

n - Drive pulley speed;

P - Drive power;

i - Gear ratio;

a - Preliminary center distance.

RESULTS DATA

T - Torque;

d1 - Pitch diameter of the drive pulley;

d2 - Pitch diameter of driven pulley;

m - Teeth module;

an - Nominal center distance, calculated according to the available belt length and teeth module;

α1 - The angle of the belt wrap around the smaller pulley;

z - Number of belt teeth;

W - Belt linear speed;

Ft - Belt force;

F0 - Belt pretension;

b - Belt width;

Fв - Loads on the shafts.

Drive pulley speed (n)

Drive power (P)

Gear ratio (i)

Center distance (а)

Torque (Т)

Driving pulley diameter (d1)

Driven pulley diameter (d2)

Teeth module (m)

Center distance (аn)

Belt girth angle (α1)

Number of belt teeth (z)

Linear speed (w)

Belt force (Ft)

Belt width (b)

Belt pretension (F0)

Loads on the shafts (Fв)

BASIC FORMULAS

Torque:

T = 30P / πn;

Pitch diameter of the drive pulley:

d1 = m*z;
z - Number of teeth of the drive pulley

Belt length:

L = 2a + 0.5*π*(d1 + d2) + (d2 - d1)2 / 4a;

Belt linear speed:

w = d1*π*n / 60;

Belt force:

Ft = P / w;

INITIAL DATA

n - Drive pulley speed;

P - Drive power;

i - Gear ratio;

a - Preliminary center distance.

RESULTS DATA

T - Torque;

d1 - Pitch diameter of the drive pulley;

d2 - Pitch diameter of driven pulley;

m - Teeth module;

an - Nominal center distance, calculated according to the available belt length and teeth module;

α1 - The angle of the belt wrap around the smaller pulley;

z - Number of belt teeth;

W - Belt linear speed;

Ft - Belt force;

F0 - Belt pretension;

b - Belt width;

Fв - Loads on the shafts.

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