Timing Belt Drive Definitions & Formulas

BRECOflex provides all of the timing belt drive definitions and formulae for doing many common belt calculations. You can also use our calculations program for linear drive and power transmission applications. 

belt drive diagram showing calculation terms
Peripheral force FU [N]
Specific tooth force FUspec [N/cm]
Admissible tensile load Fadm [N]
Pre-tension force Fv [N]
Shaft force FW [N]
Torque M [Nm]
Acceleration torque MB [Nm]
Specific torque Mspec [Ncm/cm]
Power P [kW]
Specific Power Pspec [W/cm]
Load bearing torque J [kgm2]
Load m [kg]
Density ρ [kg/dm3]
Velocity v [m/s]
RPM n [min-1]
Angular velocity Ω [s-1]
Frequency fe [min-1]
Center distance a [mm]
Belt length LB [mm]
Belt width b [mm]
Pulley width B [mm]
Bore, pulley d [mm]
Pitch circle dia. do [mm]
Crown diameter dk [mm]
Span length Ll [mm]
Pitch t [mm]
No. of teeth ZB
No. Teeth w i=1 z
No. of teeth in mesh ze
No. teeth small pulley z1
No. teeth lg. pulley z2
Transmission i
Acceleration time tB
formulas for drives


When designing a linear drive you’ll first want to calculate your peak starting torque, peak breaking torque and the maximum speed, if your loading is based on torque. If you loading is based on accelerations the calculate your peak starting accelerations, peak breaking acceleration and maximum speed. Finally, if you are loading based on move profile then you must calculate your drive time, braking time and traverse distance. Taking the values into consideration you should also determine your desired safety factor.

When sizing to the motor (loading parameters at the drive pulley) you are required to calculate peak power and RPM, peak torque and RPM, peak peripheral force and RPM and reduction ratio. Factors such as whether or not there is belt back-bending also must be considered. 

For more assistance and technical support you can contact an application engineer by calling 732-460-9500




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