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Piston Slider Crank Mechanism Design Equations and Calculator

Machine Design and Mechanics

Piston Slider Crank Mechanism Design Equations and Calculator

Preview: Piston Slider Crank Mechanism Design Calculator

Piston / Slider Crank Mechanism Design Equations

Displacement of Piston slider:

Angular velocity of connecting rod:

Linear velocity of piston slider:

Angular accerelation on connecting rod:

Piston Slider acceleration:

Where:

L = length of connecting rod (in, mm),
R = Radius of crank (in, mm),
X = distance from center of crankshaft A to wrist pin C (in, mm),
X′ = slider velocity (linear velocity of point C) (in/sec, mm/sec),
X″ = Slider acceleration (in/sec², mm/sec²),
θ = crank angle measured from dead center when slider is fully extended (deg.),
φ = angular position of connecting rod; φ = 0 when θ = 0
φ′ = connecting rod angular velocity = dφ/dt (deg/sec),
φ″ = connecting rod angular acceleration = dφ/dt² (deg/sec²),
ω = constant angular velocity of the crank (deg/sec)

Reference:
Handbook of Machining and Metal Working Calculations, Ron A. Walsh 2001