# Pneumatic Cylinders - Force Exerted

## Pneumatic air cylinders - air pressure and force exerted calculator

### 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)

#### Single Acting Cylinder Calculator  - Output Stroke

##### Calculate Force with known Pressure and Diameter

Pressure (kPa) (1 bar = 100 kPa)

Cylinder Diameter (mm)

Force (N)

Pressure (kPa)

Force (N)

Diameter (mm)

#### 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)

#### Double Acting Cylinder Calculator  - Input Stroke

##### Calculate Force with known Pressure and Diameter

Pressure (kPa)

Cylinder Diameter (mm)

Piston Rod Diameter (mm)

##### Calculate required Diameter with known Force and Pressure

Force (N)

Pressure (kPa)

Piston Rod Diameter (mm)

##### Calculate required Pressure with known Force and Diameter

Force (N)

Diameter (mm)

Piston Rod Diameter (mm)

#### 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

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