Back

Cylinder force from bore and pressure

The force of a pneumatic cylinder comes from piston area and working pressure. Once you know bore, pressure and direction of travel, you size the drive and valve with confidence instead of guessing. This guide walks through the formula, the role of the rod and a sensible safety factor step by step.

4 minStand: 2026-07Geprüft: Pneumatics specialists
View pneumatic cylinders
32 mm
Common bore in machine building
6 bar
Typical working pressure
483 N
Push force 32 mm at 6 bar
1.3-2
Recommended safety factor
Inhalt
  1. Formula
  2. Pull force
  3. Reserve
  4. Frequently asked questions

How do I calculate force from bore and pressure?

Theoretical force is pressure times piston area: F = p x A. The area follows from the bore d via A = pi/4 x d². Convert the pressure to pascal (1 bar = 100000 Pa) and the area to square metres, and the force comes out in newtons. A 32 mm bore has about 8.04 cm² of piston area and delivers roughly 483 N of push force at 6 bar.

Doubling pressure and doubling bore act differently: pressure enters the force linearly, the bore as a square. A 25 percent larger bore yields roughly 56 percent more force.

Why is the pull force smaller than the push force?

On extension the pressure acts on the full piston area, on retraction only on the annular area, because the rod covers part of it. The pull force is therefore always smaller. The rod diameter is decisive: A_ring = pi/4 x (d² - d_rod²). For a 32 mm bore with a 12 mm rod the retract force drops by about 14 percent.

  • For pulling and lifting loads, base sizing on the smaller annular area.
  • Double-acting cylinders give force in both directions, but unequal in size.
  • On a long stroke check the rod against buckling, not just the force.

What safety factor should I plan for?

The calculated force is a theoretical value. Friction in seals and guide, back pressure on the exhaust side and dynamic loads eat into the usable force. Plan a safety factor of 1.3 to 2 so the cylinder still pushes reliably under real conditions. Flow control valves and end-position cushioning handle smooth acceleration and defined braking.

Keep pressure stable

A regulator holds the working pressure constant and the force repeatable.

Pressure regulator guide
Control speed

Flow control check valves set piston speed via the exhaust air.

Compare drives
Check the sizing

Have bore, pressure and load reviewed together for reserve.

Ask for advice
A constant force needs a stable working pressure - see setting a pressure regulator.

Frequently asked questions

How do I get the piston area from the bore?

Piston area is A = pi/4 times bore squared. A 32 mm bore gives about 8.04 cm². Multiplied by the working pressure you get the theoretical push force, so about 483 N at 6 bar.

Why does my cylinder push less than calculated?

The formula value is ideal. Seal friction, back pressure on the exhaust side and dynamic loads lower the usable force by often 10 to 20 percent. That is why you plan a safety factor of 1.3 to 2.

Is the force the same on extend and retract?

No. On retract the rod covers part of the area, so only the annular area acts. Depending on rod diameter the pull force is therefore about 10 to 30 percent smaller than the push force.

Size the right pneumatic cylinder

Our pneumatics specialists help with bore, pressure and safety factor for your load.

Clear formula

Force from piston area and pressure explained transparently.

Push and pull

Annular area and rod correctly accounted for.

Safety reserve

Sensible factor against friction and back pressure.

Expert advice

Pneumatics specialists support your sizing.