4 Bar Link Calculator File

Differentiating the loop equations yields angular velocities using the known input angular velocity.

Breaking into (x) and (y) components for a given crank angle (\theta_2): 4 bar link calculator

[ \mathbf{r}_1 + \mathbf{r}_2 = \mathbf{r}_3 + \mathbf{r}_4 ] Solving for (\theta_3) and (\theta_4) (the coupler and

The angle between the coupler and follower—critical for force transmission. Values near (90^\circ) are ideal; below (40^\circ) or above (140^\circ) cause poor mechanical advantage. crossed)

Solving for (\theta_3) and (\theta_4) (the coupler and follower angles) requires solving a , often handled via the Freudenstein equation:

Given link lengths and crank angle, output the angles of the coupler and follower, plus the coupler point position.

where (K_1, K_2, K_3) are constants derived from link lengths. A 4-bar link calculator automates this solution, handling the two possible assembly configurations (open vs. crossed). A comprehensive 4-bar link calculator typically offers: