MachineCalcs

Hydraulic Pressure Calculator

Calculate required hydraulic pressure from target cylinder force, bore, rod diameter and stroke direction — with piston and annulus area shown. Metric and imperial. Free, no signup.

Calculator

Required cylinder output force.

N

Cylinder bore (piston diameter).

mm

Piston rod diameter, subtracted on the pull stroke.

mm

Push uses full piston area; pull uses annulus area after subtracting the rod.

Optional derating for seal friction and pressure losses. Use 1.0 for theoretical pressure.

Results

Default result
Edit inputs
Required pressure(P)
141.5bar
Pass

Also computed

Theoretical pressure127.3bar

Before the efficiency factor.

Working area(A)1,963mm²

Piston area1,963mm²

Rod area380.1mm²

Annulus area1,583mm²

Method notes 3 notes
  • Pressure is target force divided by working area: P = F / A.
  • Push uses the full piston area; pull uses the annulus area after subtracting rod area.
  • Efficiency factor is a practical derating for seal friction, pressure drop and back pressure.

Hydraulic pressure required for a cylinder load is P = F/A, target force divided by working piston area. Push uses full bore area A_p = (π/4)·B²; pull uses annulus area A_p−A_r after subtracting rod area. This calculator solves required pressure in bar or psi and can derate it with an efficiency factor for friction and pressure loss.

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All Hydraulics

How to use this calculator

  1. Enter target force. Enter the cylinder output force you need.
  2. Enter bore and rod. Bore sets piston area; rod diameter is subtracted for pull force.
  3. Choose the stroke. Push uses full piston area, pull uses annulus area.
  4. Set efficiency. Use 1.0 for theoretical pressure or derate for friction and pressure losses.

How it works

Required hydraulic pressure is target force divided by working area: P = F / A On the push stroke, A = πB²/4. On the pull stroke, A = π(B² - d²)/4 because the rod diameter d removes area from the bore B. The practical pressure divides by the efficiency factor, so P_required = F / (A·η).

Worked example

Verified against the live calculator

To get 25 kN from a 50 mm bore cylinder on push, piston area is 1963 mm². The theoretical pressure is 25000 / 1963 = 12.7 MPa, or about 127 bar. With a 0.90 efficiency factor, required pressure rises to about 142 bar.

Frequently asked questions

How do you calculate hydraulic pressure from force?

Use P = F/A, where F is the target force and A is the working piston area. For a push stroke A is the full bore area. For a pull stroke A is the annulus area after subtracting the rod area.

Why does pull stroke need more pressure?

The rod removes area on the retract side, so the same force has to be produced by a smaller annulus area. Smaller area means higher required pressure.

What is the efficiency factor?

It derates the theoretical pressure for seal friction, back pressure and pressure loss. Use 1.0 for ideal pressure, or 0.85-0.95 for a more practical first estimate.

Does this replace checking cylinder ratings?

No. Use it for first-pass sizing, then check cylinder pressure rating, rod buckling, mounting strength, side load, hose pressure drop and relief-valve settings.

Can I use psi instead of bar?

Yes. Use the SI/Imperial toggle in the header. The calculator accepts force, length and pressure outputs in either unit system.

Method & assumptions

  • Pressure is gauge pressure at the cylinder port.
  • Efficiency factor is a first-pass allowance, not a substitute for measuring pressure losses.
  • Rod buckling, seals, mounts, hoses and valves must be checked separately.
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