Enter the gauge pressure (air pressure), and the full bore piston diameter into the calculator to determine the cylinder force.
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Cylinder Force Formula
The following formula is used to calculate the force exerted by a pneumatic or hydraulic cylinder
F = P * pi * d2/ 4
- Where F is the force exerted by the cylinder (N)
- P is the gauge pressure (air pressure) (N/m^2)
- d is the full bore piston diameter (M)
To calculate the cylinder force, multiply the cylinder pressure by the cross-sectional area.
Cylinder Force Definition
What is a pneumatic cylinder? A pneumatic cylinder is a device that converts pressure delivered by air into an output force. That output force is considered the cylinder force.
How to calculate a cylinder force?
- First, determine the gauge pressure.
For this example, the air pressure supplied to the cylinder is 125 psi (pounds per square inch)
- Next, determine the piston diameter.
The inner bore diameter in this example is 5 inches.
- Finally, calculate the cylinder force.
Using the formula, the cylinder force is calculated to be: 125*3.14159*(5^2)/4 = 2454.36 lbf.
Does cylinder force change with size? As the diameter of a cylinder increases, the force generated increases with the square of the diameter increase. This means that going from a 1-inch diameter cylinder to a 2-inch diameter cylinder increases the force by 4 times.
Does cylinder force change with air pressure change? The force generated by a cylinder is linearly proportional to the air pressure. A 1 psi increase in air pressure generates a 1 lbf increase in force.