Enter the pressure, rod diameter, and piston diameter to calculate 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*(Dp^2 - Dr^2)/4)
- where F is the force (lbs, N)
- P is the pressure (psi, N/mm2 )
- Dp is the piston diameter (in,mm)
- Dr is the rod diameter (in,mm)
To calculate the hydraulic force, multiply the pressure by the result of pi times the difference between the rod diameter squared and the piston diameter squared over 4.
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*(Dp2 – Dr2)/4) = F = 100 * (pi*(122 – 52)/4) = 9436.23 lb-f.
FAQ
What is the significance of rod diameter in calculating hydraulic force?
The rod diameter is crucial in calculating hydraulic force because it directly influences the effective area of the piston on which the pressure acts. A larger rod diameter reduces the effective area available for the pressure to act upon on the piston side, thereby affecting the overall force generated by the hydraulic cylinder.
Can hydraulic force be negative?
Hydraulic force itself cannot be negative because it is a measure of the push or pull exerted by a hydraulic cylinder, which are inherently positive actions. However, the direction of the force can be considered negative if it opposes the chosen reference direction in a physical system or mathematical model.
How does pressure affect the hydraulic force?
Pressure is directly proportional to the hydraulic force generated by a cylinder. According to the hydraulic force formula, an increase in pressure will result in a proportional increase in force. This relationship allows for the control of the force output by adjusting the hydraulic system’s pressure.
