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About This Tool
The Hydraulic Cylinder Force Calculator computes extension force, retraction force, internal fluid volume, and cycle times for hydraulic actuators and rams.
How the Calculations Work: โข Push Force (lbs) = Hydraulic Pressure (PSI) ร Piston Bore Area (sq in). โข Pull Force (lbs) = Hydraulic Pressure (PSI) ร (Piston Bore Area - Rod Cross-Sectional Area). โข Fluid Volume (gallons) = Effective Cross-Sectional Area (sq in) ร Stroke Length (inches) รท 231 cubic inches per gallon. โข Stroke Duration (seconds) = Fluid Volume (gallons) รท Pump Flow Rate (GPM) ร 60 seconds.
Push vs Pull Differential: Because the cylinder rod occupies internal volume on the return side, retraction force is always lower than extension force at identical fluid pressure, while retraction stroke time is correspondingly faster for a constant pump flow rate.
Worked Example: A hydraulic cylinder with a 3.5-inch bore, 1.75-inch rod diameter, and 24-inch stroke powered by a 2,500 PSI pump delivering 8.0 GPM produces 24,053 lbs of push force (12.03 tons) with 1.00 gallon of fluid displacement, extending in 7.5 seconds. Retraction force is 18,040 lbs (9.02 tons) with 0.75 gallons of fluid, retracting in 5.6 seconds.
Execution & Privacy: All equations run entirely in client-side JavaScript within your web browser. No equipment dimensions or operating pressures are saved or transmitted to remote servers.
How to Use
- 1
Enter cylinder bore diameter and rod diameter in inches.
- 2
Enter full stroke travel length in inches.
- 3
Enter system relief or operating pressure in PSI and hydraulic pump flow rate in GPM.
- 4
Review extension push force (pounds and tons), retraction pull force, oil displacement volume, and stroke cycle times.
Frequently Asked Questions
Why is retraction pull force lower than extension push force?
During retraction, fluid acts only on the annular area between the outer cylinder bore and the inner rod. The rod cross-sectional area reduces the effective piston working surface area, reducing total force.
How many cubic inches are in one US gallon of hydraulic fluid?
One US liquid gallon equals exactly 231 cubic inches. Dividing cylinder volume in cubic inches by 231 yields required fluid volume in gallons.
Does cylinder cycle speed depend on hydraulic pressure?
Cycle speed depends on pump flow rate (GPM) and cylinder volume, not system pressure. Operating pressure determines available force, whereas pump displacement rate determines extension velocity.
Does this calculator transmit hydraulic machinery specifications?
No. All calculations run strictly in your web browser with local JavaScript.