Toggle Joint

Calculate the horizontal force acting in a toggle joint mechanism. The toggle joint consists of two arms linked together with a fixed point, a movable horizontal point, and an effort force acting vertically. This calculator supports both equal and unequal arm lengths.

Toggle Joint Calculator

The toggle mechanism is made of two arms linked together. Point 1 is fixed, point 3 can move horizontally. The effort force acts vertically in point 2.

Equal Arm Lengths

P = F × a / (2 × h)

Unequal Arm Lengths

P = F × a / b

Where:

  • P = horizontal force in point 3 (N, lb)
  • F = effort force (N, lb)
  • a = length of arm (m, ft, mm, in)
  • h = height (m, ft, mm, in)
  • b = length of second arm (m, ft, mm, in)
Calculator

Inputs

Results

Horizontal Force (P)-- N
Force Ratio--