Gear Force Calculator, Formula, GF Calculation

Gear Force Calculator

Enter the values of tangential force, Ft_(N), radial force, Fr_(N) and axial force, Fa_(N) to determine the value of gear force, FG_(N).

Gear Force Formula

Gear force is the resultant force experienced by a gear, combining tangential, radial, and axial forces due to meshing gears. It indicates the overall stress on a gear system during operation.

Gear Force, FG_(N) in Newtons is calculated by taking the square root of the sum of the squares of the tangential force, Ft_(N) in Newtons, radial force, Fr_(N) in Newtons and axial force, Fa_(N) in Newtons.

Gear Force, FG_(N) = √( Ft²_(N) + Fr²_(N) + Fa²_(N))

FG_(N) = gear force in Newtons, N.

Ft_(N) = tangential force in Newtons, N.

Fr_(N) = radial force in Newtons, N.

Fa_(N) = axial force in Newtons, N.

Gear Force Calculation:

1. A gear system experiences a tangential force of 300N, a radial force of 400N, and an axial force of 200N. Calculate the total gear force acting on the system.

Given: Ft_(N) = 300N, Fr_(N) = 400N, Fa_(N) = 200N.

Gear Force, FG_(N) = √( Ft²_(N) + Fr²_(N) + Fa²_(N))

FG_(N) = √(300² + 400² + 200²)

FG_(N) = √290000

FG_(N) = 538.52N.

2. Given a gear force (FG) of 600N, a tangential force (Ft) of 400N, and a radial force (Fr) of 300N, find the axial force (Fa).

Given: Ft_(N) = 400N, Fr_(N) = 300N, FG_(N) = 600N.

Gear Force, FG_(N) = √( Ft²_(N) + Fr²_(N) + Fa²_(N))

Fa_(N) = √( Ft²_(N) – Fr²_(N) – FG²_(N))

Fa_(N) = √(400² – 300² – 600²)

Fa_(N) = √110000

Fa_(N) = 331.66N.

Gear Force Components