Loading DocumentPressure formula
P= AF
P=4πd2F
P=4πD2W
(Pascal - Pa)
Pressure at a Point
P=pgh
Density
p=vm
Hydraulic Press Calculations
Pressure below piston = pressure below ram
AF=AW
4πd2F=4πD2W
d2F=D2W
FW=d2D2
Notes:
W= weight on the ram
F= force applied to the piston
Calculating the Volume of Liquid Required per Stroke by the Press (taking slip into account)
V=4πd2×s
V=4πD2×h
Notes:
d = piston diameter
s = stroke length of the piston
D = ram diameter
h = ram height
Calculating the Relationship between the Ram and Piston Motion
Volume liquid displaced by ram = Volume liquid displaced by piston
4πD2×L=4πd2×s×n
D2×L=d2×s×n
n=d2D2×sL
Notes:
n=number of strokes
1000l= 1m3 (all substances)
1l=1kg (only water)
Calculating the Relationship Between the Load on the Punger and Effort on the Lever
Mechanical Advantage
What is the Mechanical Advantage of a Lever System?
The Mechanical Advantage of a Lever System means that the Effective Force on the Plunger is greater than the Force (Effort) applied to the handle of the lever.
If we ignore losses to due to friction, the following formula applies:
MA=EffortonHadle(W)PlungerLoad(F)
Efficiency Calculations
η=workinputworkoutput×100%
η=powerinputpoweroutout×100%
η=volumeinputvolumeoutpht×100%
η=appliedeffortplungeractualeffortonplunger×100%
η=appliedforceonramactualforceonram×100%
Calculating Slip
η=100−slip
Slip=100−η
Calculating Work Done by the Press(Taking Efficiency into Account)
Workdone=F× D
=F×s
Workdone=pV
Work done=increase in potential energy
Work done =mgh
Work done=Vρgh [where Vρ=mass]
Power (P) =tpV
Calculating the Relationship Between Plunger Movement and Ram-Piston Movement
Work Done by Plunger = Work Done on Ram
F×s=W×L
Volume of fluid displaced by plunger = Volume of fluid that displaces ram
4πd2×s=4πD2×L
d2×s=D2×L
Calculating the Force Exerted by RAM
