Enter the pressure, rod diameter, and piston diameter to calculator the push and pull force of a hydraulic cylinder.

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## Hydraulic Force Formula

The following formula is used to calculate the push and pull forces of a hydraulic cylinder.

F = P * (pi*(D_{p}^{2} – D_{r}^{2})/4)

- where F is the force (lbs, N)
- P is the pressure (psi, N/mm
^{2}) - D
_{p}is the piston diameter (in,mm) - D
_{r }is the rod diameter (in,mm)

## Hydraulic Force Definition

A hydraulic force is defined as the force required to pull or push a hydraulic cylinder based on pressure, piston diameter, and rod diameter.

## Example Problem

How to calculate hydraulic force?

**First, determine the pressure acting on the rod side of the cylinder.**For this example problem, the pressure is measured to be 100 PSI.

**Next, determine the rod diameter.**The rod is measured to have a diameter of 5 in.

**Next, determine the piston diameter.**The piston is measured to have a diameter of 12in.

**Finally, calculate the hydraulic force.**The hydraulic force is calculated using the formula F = P * (pi*(D

_{p}^{2}– D_{r}^{2})/4) = F = 100 * (pi*(12^{2}– 5^{2})/4) = 9436.23 lb-f.

## FAQ

**How do you find hydraulic** **power? **

Hydraulic power is different to calculate than hydraulic force. Power is a force applied per unit of time. Most often a hydraulic power is calculated using flow and pressure.

This formula is Power = P*Q where P is the pressure (bars) and Q is the flow rate (L/min).