Hydraulic Force

Hydraulic force - area formulas and calculator

hydraulic cylinder force

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

F1 = (π (d22 - d12) / 4) P1         (1)


F1 = rod pull force (lb, N)

d1 = rod diameter (in, m)

d2 = piston diameter (in, m)

P1 = pressure in the cylinder (rod side) (lff/in2 (psi), N/m2 (Pa))

The force produced opposite the rod can be expressed as

F2 = (π d22 / 4) P2         (2)


F2 = rod push force (lb, N)

P2 = pressure in the cylinder (opposite rod) (lff/in2 (psi), N/m2 (Pa))

Calculate Pull Force - with pressure acting on rod side

Piston diameter - d2 (in, m)

Rod diameter - d1 (in, m)

Cylinder pressure - P1 (lbf/in2 (psi), N/m2 (Pa))

Calculate Push Force - with pressure acting opposite rod side

Piston diameter - d2 (in, m)

Cylinder pressure - d2 (lbf/in2 (psi), N/m2 (Pa))

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Push Diagram

Rod pushing force for hydraulic cylinders are indicated below: 

hydraulic cylinder push force diagram

  • 1 psi (lb/in2) = 144 psf (lbf/ft2) = 6,894.8 Pa (N/m2) = 6.895x10-3 N/mm2 = 6.895x10-2 bar
  • 1 N/m2 = 1 Pa = 1.4504x10-4 lb/in2 = 1x10-5 bar = 4.03x10-3 in water = 0.336x10-3 ft water = 0.1024 mm water = 0.295x10-3 in mercury = 7.55x10-3 mm mercury = 0.1024 kg/m2 = 0.993x10-5 atm
  • 1 lbf (Pound force) = 4.44822 N = 0.4536 kp
  • 1 N (Newton) = 0.1020 kp = 7.233 pdl = 7.233/32.174 lbf = 0.2248 lbf = 1 (kg m)/s2 = 105 dyne = 1/9.80665 kgf
  • 1 in (inch) = 25.4 mm
  • 1 m (meter) = 39.37 in = 100 cm = 1000 mm

Pull Diagram

Rod pulling force for hydraulic cylinders are indicated below:

hydraulic cylinder pull force diagram

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Tag Search

  • en: hydraulic force piston area calculator
  • es: fuerza hidráulica área del pistón calculadora
  • de: hydraulische Kraft Kolbenfläche Rechner

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