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Products from 700 to 4000 BAR feed

 

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Hight Pressure Hydraulic Cylinders and Pumps

 

 

Product from 700 to 4000 bar. Hight pressure hydraulic cylinders and pumps.

The calculation examples given serve as a basis for the use of hydraulic systems.

1. Force of an hydraulic cylinder
The force of an hydraulic cylinder results from the pressure in the cylinder, p, on the piston of the cylinder.

The formula:

F(kg) = p(bar) . A(cm² ) 
[when g = (10 N.m) / s²]
means:
F = force acting on the cylinder in kg
p = operating pressure in bar
A = the cylinder effective area in cm² which is calculated from the piston diameter:
A(cm² ) = (d(mm)².π) / 400
π( = 3,1416)


Example 1:
A CGG100P50 cylinder is required to lift a load of 72 t. What operating pressure is required?

A (cm²) = [d (mm)².3,1416] / 400
with piston diameter CGG100P50
-> d = 130 mm
-> A = (130².3,1416) / 400 cm²=132,7 cm²
the result of F(kg) = p(bar) . A(cm 2 ) after its inversion, is 
p(bar) = F (kg) / A (cm²) dove F = 72 t = 72.000 kg
-> p = 72.000 : 132.7 bar = 542 bar.

The required operating pressure is 542 bar.

Example 2: 
An CMI10N100 cylinder lifts a load; the gauge shows an operating pressure of 520 bar. What is the weight of the load?

A (cm²) = [d (mm)² . 3,1416] / 400
with piston diameter CMI10N100 -> d = 45 mm 
A = (45² . 3,1416) / 400 = 15,9 cm² 
F (kg) = p(bar) . A(cm² ) 
F = (520 . 15,9) kg = 8270 kg

The lifted load has a weight of 8270 kg.

2. Actuating pumps
When an hydraulic cylinder is operated by a hand pump, the cylinder plunger moves a certain distance per pump actuation. This distance depends on the cylinders effective area and on the pump’s oil flow per stroke. When two-speed hand pumps are used, the low pressure oil flow VLP applies for cylinder movements without load and the high pressure oil flow VHP applies for cylinder movements with loads.

The formula: S(mm) = [V (cm³).10.] / A (cm²)

means: 
S = cylinder’s shift in mm
V = pump’s oil flow per stroke in cm³
A = cylinder area in cm².

Example 3:
An CMI10N100 cylinder is operated by an PL131 hand pump. What is the distance the supported load moves per pump actuating?
-> A= 15,9 cm² (see example 2)
S(mm) = [V(cm³).10] / A (cm²)
PL131 having an oil flow per stroke of
-> V = 3,5 cm³ 
-> S =( 3,5 .10) / 15,9 mm = 2,2 mm

The supported load moves 2,2 mm per pump full stroke actuation.

Example 4:
A CGG100P50 (stroke S= 50 mm) is operated by a PL162 hand pump. A non-load stroke of L = 30 mm has to be accounted for. How many pump actuations PB are necessary to extend the cylinder completely?

-> A = 132,7 cm² (see example 1)
meaning for the non-load stroke 
SBP (mm) =[VBP (cm³).10] / A (cm²)

PL162 having a LP-oil flow per stroke of
-> VBP = 32cm³
-> SBP = (32.10) / 132,7 mm = 2,4 mm
The number of pump actuations in the non-load mode is calculated by way of non-load stroke divided by the movement covered per pump actuation:
PBBP = L (mm) / S BP (mm) = 30 /: 2,4 = 13 pump actuations

meaning for stroke under load:
SAP (mm) =é VAP (cm³).10] / A (cm²)

PL162 having an HP-oil flow per stroke of
-> VAP = 3 cm³
-> SAP =(3.10) / 132,7 mm = 0,23 mm

The number of pump actuations under load is calculated from the remaining stroke divided by the distance covered per pump actuation:
PBAP = [H(mm) - L(mm)] / SAP(mm)= [50-30] / 0,2 =87 pompate

In total = PBBP + PBAP = 13 + 87 = 100 pump.

3. Speed of extending
The time an hydraulic cylinder, being operated by an electric pump, needs for extending depends on the cylinder effective area and on the oil flow of the electric pump. When twospeed pumps are used, the LP-oil volume QLP for cylinder movements without load and the HP-oil volume QHP for cylinder movements with load is to be put in.

The formula: 
v(mm/s) =
[Q(l / min).166,67] / A (cm²)

means:
v= speed of the cylinde in mm/s
Q= the oil flow of the pump in l/min
A= cylinder area in cm²

Example 5:
A CGG100P50 is operated by an electric pump MEF10M31. What is the cylinder’s speed of full extension?
-> A = 132,7 cm² (see example 1)
v(mm/s) = [Q(l / min).166,67] / A (cm²)
having an oil flow MEF10M31 -> Q = 1,8 l/min 
V= 1,8.166,67 / 132,7 mm/s= 2,2 mm/s

The cylinder’s speed of full extension is 2,2 mm/s.



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