08-16-2017, 10:42 PM
Cylinder Blind End Area (in square inches):
PI x (Cylinder Radius)2
Example: What is the area of a 6" diameter cylinder?
Diameter = 6"
Radius is 1/2 of diameter = 3"
Radius2 = 3" x 3" = 9"
x (Cylinder Radius)2 = 3.14 x (3)2 = 3.14 x 9 = 28.26 square inches
Cylinder Rod End Area (in square inches):
Blind End Area - Rod Area
Example: What is the rod end area of a 6" diameter cylinder which has a 3" diameter rod?
Cylinder Blind End Area = 28.26 square inches
Rod Diameter = 3"
Radius is 1/2 of rod diameter = 1.5"
Radius2 = 1.5" x 1.5" = 2.25"
x Radius2 = 3.14 x 2.25 = 7.07 square inches
Blind End Area - Rod Area = 28.26 - 7.07 = 21.19 square inches
Cylinder Output Force (in pounds):
Pressure (in PSI) x Cylinder Area
Example: What is the push force of a 6" diameter cylinder operating at 2,500 PSI?
Cylinder Blind End Area = 28.26 square inches
Pressure = 2,500 psi
Pressure x Cylinder Area = 2,500 X 28.26 = 70,650 pounds
What is the pull force of a 6" diameter cylinder with a 3" diameter rod operating at 2,500 PSI?
Cylinder Rod End Area = 21.19 square inches
Pressure = 2,500 psi
Pressure x Cylinder Area = 2,500 x 21.19 = 52,975 pounds
Fluid Pressure in PSI Required to Lift Load (in PSI):
Pounds of Force Needed Cylinder Area
Example: What pressure is needed to develop 50,000 pounds of push force from a 6" diameter cylinder?
Pounds of Force = 50,000 pounds
Cylinder Blind End Area = 28.26 square inches
Pounds of Force Needed Cylinder Area = 50,000 28.26 = 1,769.29 PSI
What pressure is needed to develop 50,000 pounds of pull force from a 6" diameter cylinder which has a 3" diameter rod?
Pounds of Force = 50,000 pounds
Cylinder Rod End Area = 21.19 square inches
Pounds of Force Needed Cylinder Area = 50,000 21.19 = 2,359.60 PSI
Cylinder Speed (in inches per second):
(231 x GPM) (60 x Net Cylinder Area)
Example: How fast will a 6" diameter cylinder with a 3" diameter rod extend with 15 gpm input?
GPM = 6
Net Cylinder Area = 28.26 square inches
(231 x GPM) (60 x Net Cylinder Area) = (231 x 15) (60 x 28.26) = 2.04 inches per second
How fast will it retract?
Net Cylinder Area = 21.19 square inches
(231 x GPM) (60 x Net Cylinder Area) = (231 x 15) (60 x 21.19) = 2.73 inches per second
GPM of Flow Needed for Cylinder Speed:
Cylinder Area x Stroke Length in Inches 231 x 60 Time in seconds for one stroke
Example: How many GPM are needed to extend a 6" diameter cylinder 8 inches in 10 seconds?
Cylinder Area = 28.26 square inches
Stroke Length = 8 inches
Time for 1 stroke = 10 seconds
Area x Length 231 x 60 Time = 28.26 x 8 231 x 60 10 = 5.88 gpm
If the cylinder has a 3" diameter rod, how many gpm is needed to retract 8 inches in 10 seconds?
Cylinder Area = 21.19 square inches
Stroke Length = 8 inches
Time for 1 stroke = 10 seconds
Area x Length 231 x 60 Time = 21.19 x 8 231 x 60 10 = 4.40 gpm
Cylinder Blind End Output (GPM):
Blind End Area Rod End Area x GPM In
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?
Cylinder Blind End Area =28.26 square inches
Cylinder Rod End Area = 21.19 square inches
GPM Input = 15 gpm
Blind End Area Rod End Area x GPM In = 28.26 21.19 x 15 = 20 gpm