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Hydraulic Cylinder Calculations

 

Hydraulic Cylinder

 

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
=
Formula: (231 x GPM) ÷ (60 x Net Cylinder Area) = inches/second

 

GPM of Flow Needed for Cylinder Speed

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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)nbsp; 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

 

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