Bevel Gear Design Calculator | Gear Ratio, Teeth & Module Tool

Bevel gear design Tool Formula:

Pitch Diameter of Gear (D_g):

\[ D_{g} = m \times N_{g} \]

(where D_g = pitch diameter of gear, m = module, N_g = number of teeth on gear)

Pitch Diameter of Pinion (D_p):

\[ D_{P} = m \times N_{P} \]

(where D_p = pitch diameter of pinion, m = module, N_p = number of teeth on pinion)

Cone Distance (R):

\[ R = \sqrt{[(D_{g}/2)^{2} + (D_{p}/2)^{2}]} \]

(where R = cone distance, D_g = pitch diameter of gear, D_p = pitch diameter of pinion)

Gear Ratio (GR):

\[ GR = \frac{N_{g}}{N_{P}} \]

(where GR = gear ratio, N_g = number of teeth on gear, N_p = number of teeth on pinion)

Addendum (a):

\[ a = m \]

(where a = addendum, m = module)

Dedendum (d):

\[ d = 1.25 \times m \]

(where d = dedendum, m = module)

The Bevel Gear Design Calculator is useful in the design of bevel gears by engineers, students, and teachers to transmit power in mechanical systems. Bevel gears are gears that transmit motion and torque between two intersecting shafts that are intersecting and are usually at 90 degrees and are applied in automotive differentials, industrial gearboxes, and robotics.

The desired gear ratio, number of teeth, module, pitch diameter, or shaft angle may be entered by the user. The calculator is used to determine the gear ratio, the number of teeth on the pinion and gear, module, pitch diameter, shaft angle, and center distance. Step-by-step solutions provide formulas of velocity ratio, module, PCD, shaft angle calculation, and center distance, therefore, gaining easy time optimization in bevel gear design to achieve the highest torque, speed, and clean engagement.

Units SI units can be used: mm, diameter, module, and center distance. The tool is perfect for mechanical, design, students and teachers who deal with gearboxes, automotive systems, and industrial machinery to design the bevel gears accurately and reliably.