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# Pneumatic Cylinder - Excerted Force vs. Pressure

### Single Acting Cylinder

The force exerted by a single acting pneumatic cylinder can be expressed as

F = p A

= p π d2/ 4                                           (1)

where

F = force exerted (N)

p = gauge pressure (N/m2, Pa)

A = full bore area (m2)

d = full bore piston diameter (m)

.

#### Example - Single Acting Piston

The force exerted by a single acting pneumatic cylinder with 1 bar (105 N/m2) and full bore diameter of 100 mm (0.1 m) can be calculated as

F = p π d2/ 4

= (105 N/m2) π (0.1 m)2 / 4

= 785 N

= 0.785 kN

.

.

### Double Acting Cylinder

The force exerted by double acting pneumatic cylinder on outstroke can be expressed as (1). The force exerted on instroke can be expressed as

F = p π (d12 - d22) / 4                                     (2)

where

d1 = full bore piston diameter (m)

d2 = piston rod diameter (m)

#### Example - Double Acting Piston

The force exerted from a single acting pneumatic cylinder with 1 bar (105 N/m2), full bore diameter of 100 mm (0.1 m) and rod diameter 10 mm (0.01 m) can be calculated as

F = p π (d12 - d22) / 4

= (105 N/m2) π [(0.1 m)2 - (0.01 m)2] / 4

= 778 N

= 0.78 kN

• instroke capacity is reduced compared to outstroke capacity - due to the rod and reduced active pressurized areal

## Related Topics

### • Gases and Compressed Air

Properties of air, LNG, LPG and other common gases. Pipeline capacities and sizing of relief valves.

### • Hydraulics and Pneumatics

Hydraulic and pneumatic systems - fluids, forces, pumps and pistons.

## Related Documents

### Force Ratio

The force ratio is the load force versus the effort force.

### Pneumatic Cylinder - Acting Velocity

Calculate pneumatic cylinder acting velocity.

### Pneumatic Piping - Pressure Loss vs. Air Flow

Pressure loss in pneumatic tubes - sizes ranging 5 - 36 mm.

### Single Acting Pneumatic Piston - Air Consumption

Calculate air volume used by a single-acting piston.

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