Hydraulic Force

Hydraulic force - area formulas and calculator

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hydraulic cylinder force

The force produced by a double acting hydraulic piston on the rod side can be expressed as

F1 = π / 4 (d22 - d12) P1         (1)

where 

F1 = rod pull force (lb)

d1 = rod diameter (inches)

d2 = piston diameter (inches)

P1 = pressure in the cylinder (rod side) (lff/in)

The force produced opposite the rod can be expressed as

F2 = π / 4 d22 P2         (2)

where 

F2 = rod push force (lb)

P2 = pressure in the cylinder (opposite rod) (lff / in)

Calculate Pull Force - with pressure acting on rod side

Piston diameter - R2 (in)

Rod diameter - R1 (in)

Cylinder pressure - P1 (lff / in)

Calculate Push Force - with pressure acting opposite rod side

Piston diameter - R2 (in)

Cylinder pressure - P2 (lff / in)

The diagram below indicates the rod pushing force for cylinders with different diameters and pressures. 

hydraulic cylinder push force diagram

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