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Hydraulic Cylinder Calculations
Engineering Toolbox
Formulas and Calculations
Hydraulic Pump Calculations
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Hydraulic Cylinder Calculations
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Conversion Formulas
Cylinder Blind End Area (in square inches)
Diameter (inches) Area
=
Example:
What is the area of a 6" diameter cylinder?
Formula:
π x (Cylinder Radius)
^{2}
= square inches
Cylinder Rod End Area (in square inches)
Cylinder Blind End Area (sq in) Rod Diameter (inches) Area
=
Example:
What is the rod end area of a 6" diameter cylinder which has a 3" diameter rod?
Formula:
Blind End Area - Rod Area = square inches
Cylinder Output Force (in pounds)
Pressure (PSI) Cyl. Blind End Area (sq in) Rod Diameter (inches) Push Force
=
Example:
What is the pull force of a 6" diameter cylinder with a 3" diameter rod operating at, 2,500 PSI?
Formula:
Pressure (in PSI) x Cylinder Rod End Area = Force in pounds
Fluid Pressure in PSI Required to Lift Load (in PSI)
Pounds of Force Needed Cyl. Blind End Area (sq in) Pressure Needed
=
Example:
What pressure is needed to develop 50,000 pounds of push force from a 6" diameter cylinder?
Formula:
Pounds of Force Needed ÷ Cylinder Area = PSI
Pounds of Force Needed Cyl. Rod End Area (sq in) Pressure Needed
=
Example:
What pressure is needed to develop 50,000 pounds of pull force from a 6" diameter cylinder which has a 3" diameter rod?
Formula:
Pounds of Force Needed ÷ Cylinder Area = PSI
Cylinder Speed (in inches per second)
Gallons per Minute (GPM) Net Cylinder Area (sq in) Speed
=
Example:
How fast will a 6" diameter cylinder with a 3" diameter rod extend with 15 gpm input?
Formula:
(231 x GPM) ÷ (60 x Net Cylinder Area) = inches/second
Gallons per Minute (GPM) Net Cylinder Area (sq in) Speed
=
Example:
How fast will it retract?
Formula:
(231 x GPM) ÷ (60 x Net Cylinder Area) = inches/second
GPM of Flow Needed for Cylinder Speed
Cylinder Area (sq in) Stroke Length (inches) Stroke Time (seconds) Flow Needed
=
Example:
How many GPM are needed to extend a 6" diameter cylinder 8 inches in 10 seconds?
Formula:
Cylinder Area x Stroke Length in Inches ÷ 231 x 60 ÷ Time in seconds for one stroke = GPM
Cylinder Area (sq in) Stroke Length (inches) Stroke Time (seconds) Flow Needed
=
Example:
If the cylinder has a 3" diameter rod, how many gpm is needed to retract 8 inches in 10 seconds?
Formula:
Cylinder Area x Stroke Length in Inches ÷ 231 x 60 ÷ Time in seconds for one stroke = GPM
Cylinder Blind End Output (GPM)
Blind End Area (sq in) Rod End Area (sq in) GPM Input GPM Output
=
Example:
How many GPM come out the blind end of a 6" diameter cylinder with a 3" diameter rod when there is 15 gallons per minute put in the rod end?
Formula:
Blind End Area ÷ Rod End Area x GPM In = GPM Out
This company assumes no liability for errors in data nor in safe and/or satisfactory operation of equipment designed from this information.
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