Pneumatic Cylinder Force Calculator

Work out pneumatic cylinder force instantly with clear inputs, formula shown and shareable results.

About Pneumatic Cylinder Force Calculator

Cylinder force is pressure times effective area. Extending, the full piston face is exposed. Retracting, the rod occupies part of the face, so the annular area is smaller and the force lower for the same pressure. That asymmetry is why a double-acting cylinder is usually oriented to push rather than pull the heavy stroke.

Formulas

Extend force

F = p x pi/4 x bore²

Retract force

F = p x pi/4 x (bore² - rod²)

Worked example

With the default values below, Pneumatic Cylinder Force Calculator returns Extend force of 282.7. Change any input above and every figure here is recalculated in your browser.

Inputs used

Cylinder boreminimum 0.1 in: 2 in
Rod diameterminimum 0.05 in: 0.625 in
Working pressureminimum 1 psi: 90 psi

Results

Extend force: 282.7 lbf
Retract force: 255.1 lbf
Piston area: 3.142 in²
Retract to extend ratio: 0.902

Step by step

1Values used
2Extend force
3Retract force
4Extend force= 282.7 lbf
5Retract force= 255.1 lbf
6Piston area= 3.142 in²
7Retract to extend ratio= 0.902

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Pneumatic Cylinder Force figure worked out?

F = p x pi/4 x bore². Cylinder force is pressure times effective area.

Does the calculated force appear at the tool?

No. Seal friction and back pressure typically absorb 5-15 percent, and dynamic strokes need extra margin because pressure lags behind valve opening.

What values do I need to enter?

This calculator takes 3 inputs: Cylinder bore, Rod diameter, Working pressure. The pre-filled defaults are a realistic worked example — replace them with your own site or project figures.