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Hydraulic Force vs. Pressure and Cylinder Size

Calculate hydraulic cylinder force.

The force produced on the rod side (1) of a double acting hydraulic piston - can be expressed as

F1 = P1 (π (d2 2 - d12) / 4)                                    (1)

where

F1 = rod force (lb, N)

d1 = rod diameter (in, mm)

d2= piston diameter (in, mm)

P1 = pressure in the cylinder on the rod side (psi, N/mm2)

• 1 bar = 105 N/m2= 0.1 Nm/mm2

The force produced on the opposite of rod side (2) - can be expressed as

F2= P2(π d2 2 / 4) (2)

where

F2= rod force (lb, N)

P2= pressure in the cylinder (opposite rod) ( psi, N/mm2)

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Rod Force F2 diagram

- when pressure act on opposite side of rod.

Metric Units

• 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

Rod Force F1 diagram

- when pressure act on the same side of the rod.

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• Hydraulics and Pneumatics

Hydraulic and pneumatic systems - fluids, forces, pumps and pistons.

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• The Engineering ToolBox (2009). Hydraulic Force vs. Pressure and Cylinder Size. [online] Available at: https://www.engineeringtoolbox.com/hydraulic-force-calculator-d_1369.html [Accessed Day Month Year].

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7.8.15

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