This calculation example demonstrates how to find the transmitted force (or tangential force) occurring on a gear tooth when torque is transmitted through a shaft. This is a fundamental concept in analyzing and designing gears to prevent tooth failure.
A spur gear transmits power with a torque () of 14.32 N·m. The gear has a pitch circle diameter () of 0.045 m. Calculate the transmitted force () acting on the gear tooth. (Note: You can modify the variables in the input data section)
Calculate the transmitted force (): The tangential force can be calculated by dividing the torque by the pitch radius (or ).
From the calculation, the transmitted force acting on the gear tooth is N. This force is responsible for transmitting power and performing useful work in the gear system.
From an engineering design perspective, this force is one of the most critical initial variables because it is subsequently used for:
Therefore, the accuracy in determining this gear tooth force directly impacts the safety and reliability of the entire power transmission system.