Annulus force in a Hydraulic Cylinder?

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SUMMARY

The discussion centers on calculating the annulus force in a hydraulic cylinder with a split rear piston and a reduced rod diameter. The correct formula for annulus force is established as (cyl ID area - rod area), specifically using the dimensions Ø180 bore area and Ø130 bore area. It is confirmed that hydraulic fluid transmits pressure to the surface area it contacts, not the area it passes through. Additionally, variations in rod diameter near the piston do not affect the calculations due to the fixed volume present.

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Nik_Barbour
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Hi,
I was wondering if I could ask for some advice.
I'm was calculating the Annulus force that a hydraulic cylinder could generate that I've been asked to do some work on, however this particular ram is a little unusual in that it had a split rear piston and necks down to a smaller diameter than the rod to which it attaches. (see attached pic)
I was happily calculating retract force as (Ø180 bore area - Ø115 bore area) x pressure when the guy I was working for said no. The annulus force is the (cyl ID area - rod area) so [Ø180 bore area - Ø130 bore area].

Imagining the hydraulic cyl isn't in its fully closed position as shown, but traveling in its closing direction, I was thinking hydraulic fluid transmits its pressure to the surface area it contacts, not the area it passes through.

Just wondered if anyone could confirm which is correct for my own personal interest.

Thanks in advance for any advice given,
I hope my question makes sense.

01.jpg
 
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Effective pressure area is bore area minus rod area .

Remember that there is a pressure area on the tapered section where the reduced rod diameter changes to the main rod diameter . Force on this area is acting in the opposite direction to the force acting on the piston .
 
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Nik_Barbour said:
I was thinking hydraulic fluid transmits its pressure to the surface area it contacts, not the area it passes through.
If you consider the distance that the piston moves per volume of fluid moved, you will see that it is rod diameter that is important. Any variation in rod diameter close to the piston constitutes a fixed volume that is always present, so plays no part in the calculations.

Consider a groove cut in the rod close to the piston. The same pressure is applied to the extend and to the retract faces of the groove, so the net forces on the rod due to the groove will cancel.
 
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