Piston Force
F = P ร A. Force equals pressure times bore area. Double-acting: rod side has less area. Standard bores 8-400 mm.
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Hydraulic: 10-35 MPa typical; pneumatic 0.5-1 MPa Double-acting: extend force > retract force Bore sizes: 8, 10, 12, 16, 20, 25, 32, 40 mm... Safety factor 1.5-2.0 for dynamic loads
Ready to run the numbers?
Why: Piston force determines actuator sizing for presses, excavators, lifts. Hydraulic 10-35 MPa; pneumatic 0.5-1 MPa.
How: Input any two of force, pressure, area/diameter. F = PA. Rod side: A_annulus = A_bore - A_rod.
Run the calculator when you are ready.
๐ง Small Hydraulic Cylinder
25mm bore, 100 kPa pressure
Click to use this configuration
๐จ Pneumatic Actuator
50mm bore, 600 kPa air pressure
Click to use this configuration
๐ญ Industrial Hydraulic Press
100mm bore, 20 MPa pressure
Click to use this configuration
๐ Size from Required Force
Find diameter for 5000N at 10 MPa
Click to use this configuration
๐๏ธ Excavator Arm Cylinder
160mm bore, 25 MPa hydraulic system
Click to use this configuration
Enter Cylinder Parameters
Calculation Mode
Cylinder Dimensions
Pressure
Stroke & Power (Optional)
For educational and informational purposes only. Verify with a qualified professional.
๐ฌ Physics Facts
F = P ร A โ fundamental hydraulic/pneumatic relation
โ ASME
A = ฯDยฒ/4 for circular bore
โ Engineering
Hydraulic oil incompressible; air compressible
โ Fluid Power
Rod diameter typically 40-50% of bore
โ SAE
What is Piston Force?
Piston force is the force exerted by a piston in a cylinder due to fluid pressure (hydraulic oil or compressed air). It's determined by the pressure acting on the piston's cross-sectional area. This principle is fundamental to all hydraulic and pneumatic systems.
Hydraulic Systems
Use incompressible fluid (oil) for high force, precise control.
Typical Pressure: 10-35 MPa
Applications: Presses, excavators, lifts
Pneumatic Systems
Use compressed air for fast, clean, and safe operation.
Typical Pressure: 0.4-1.0 MPa
Applications: Automation, clamping, tools
How is Piston Force Calculated?
Piston force follows the fundamental relationship F = P ร A (Force = Pressure ร Area). The bore area is the circular cross-section of the cylinder where pressure acts.
๐ฌ The Formula
F = P ร A = P ร (ฯ ร dยฒ) / 4
When to Use This Calculator
Use this calculator when designing or selecting hydraulic/pneumatic cylinders, sizing actuators, or analyzing existing systems.
๐ฏ Applications
- Hydraulic press design
- Pneumatic automation
- Cylinder selection
- Force verification
- System troubleshooting
- Equipment sizing
๐ Standard Bore Sizes
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