Piston Cylinder Force & Diameter to Pressure Calculator

Piston Cylinder Parameters
Force (F) [?]
Select force unit dynes (dyn) grams force (gf, pond) poundals (pdl) ounces force (ozf) newtons (N) pounds force (lbf) kilograms force (kgf) kilonewtons (kN) tons force (tonf, short, usa) tonnes force (tf, metric) tons force (tonf, long, uk)
Diameter (ø) [?]
Select diameter unit millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m)
Calculate Pressure
Pressure (P) [?]
Select pressure unit bar psi kg/cm² mbar kPa Pa Pa hPa kPa MPa N/m² N/mm² bar mbar mmH₂O 4°C cmH₂O 4°C mH₂O 4°C inH₂O 4°C ftH₂O 4°C mmHg 0°C cmHg 0°C inHg 0°C g/cm² kg/cm² dyn/cm² oz/in² psi tsi uk long tsi us short tsf us short psf atm at Torr mTorr bar centimetres of mercury at 0°C centimetres of water at 4°C dynes per sq centimetre feet of water at 4°C grams per sq centimetre hectopascals inches of mercury at 0°C inches of water at 4°C kilograms per sq centimetre kilopascals megapascals metres of water at 4°C microns of mercury at 0°C millibars millimetres of mercury at 0°C millimetres of water at 4°C millitorrs newtons per sq metre newtons per sq millimetre ounces per sq inch pascals pounds per sq foot pounds per sq inch standard atmospheres technical atmospheres tons per sq foot (us short) tons per sq inch (uk long) tons per sq inch (us short) torrs

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User Guide

This tool will calculate the pneumatic/hydraulic pressure generated by a piston cylinder for a specified force and piston-cylinder bore diameter.

Formula

The formula used by this calculator to determine the piston cylinder pressure from force and diameter is:

r = ø/2

A = π·r² = π·(ø/2)²

P = F/A

P = F/π·(ø/2)²

Symbols

• P = Pressure
• F = Force
• π = Pi = 3.14159…
• r = Circle radius
• ø = Circle diameter
• A = Circle area

Applied Force

Enter the reading in any units for the applied force.

Piston / Cylinder Bore Diameter

Enter the diameter of the cylinder bore or the piston, and for better precision use the average of the two if possible.

Generated Pressure

This is the pressure generated by a piston/cylinder of a specified diameter and applied force, and can be displayed in a choice of different pressure measurement units.

Applications

• Hydraulic cylinder
• Pneumatic cylinder
• Hydraulic press

Questions & Answers

150 tonne & 280mm dia press

I have an application to read force in tonne (1000kg) on a 150 tonne hydraulic press with a press ram piston diameter of 280mm, and want to know what range of pressure gauge I will need to use to monitor the hydraulic pressure?

Using the above calculator a hydraulic press with a ram piston diameter of 280mm (area of 61575.2 mm²) would require a pressure of 238.894 bar to produce a force of 150 metric tonnes.