Hydraulic Force Calculator
Calculate the output force of a hydraulic piston from fluid pressure and piston diameter.
How it works
- 1Enter the fluid pressure in bar (or psi) and the piston diameter in mm (or in).
- 2The calculator computes the piston area A = π/4 × d², then applies F = P × A.
- 3Results are shown in kN and N (or lbf), with the piston area in cm².
Use cases
- Selecting a cylinder for a press, clamp, or lifting application.
- Verifying a hydraulic system produces sufficient clamping or forming force.
- Converting between bar/psi pressures and kN/lbf forces during machine design.
Frequently asked questions
What formula does the calculator use?
Pascal’s law F = P × A, with A = π/4 × d². 150 bar on a 63 mm piston gives A ≈ 31.2 cm² and F ≈ 46.8 kN.
Does rod diameter affect the result?
On the push (cap-end) stroke, only the full bore matters. On the pull (rod-end) stroke the effective area is reduced by the rod — use the net annular area.
What system pressure should I use?
Industrial hydraulics typically run at 100–350 bar (1450–5000 psi). Higher pressure allows smaller cylinders but needs stronger seals. Apply a safety factor.
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