Contact pressure of piston rod onto a surface?

AI Thread Summary
The discussion focuses on calculating the contact pressure (P_contact) of a piston rod on a surface, given specific parameters including internal and external pressures, and piston radii. The calculated contact pressure is determined to be 1,080,000 Pa based on the force exerted by the piston. A dual piston setup is also considered, raising questions about whether the contact pressure on either side is halved, particularly when the area in question is a solid rather than a fluid. The participant clarifies that while the internal pressure remains the same, the forces on each side of the piston will differ. Overall, the calculations and assumptions regarding pressure dynamics in different configurations are central to the discussion.
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I have two images below.

This is a single piston with pressure inside, the variables are as listed.

P_in = 2700 Pa.
P_out = 0 Pa.
R1 = Radius 1 = 10 cm.
R2 = Radius 2 = 5 mm.
P_contact = ?

My solution to P_contact is as follows.

Area A1 of piston at R1 = .0314m^2 and area A2 at R2 = 7.85x10^-5 m^2. The force exerted by P_in on the face of the piston with A1 is 84.78 N. Therefore P_contact = 84.78/ A2 = 1080000 Pa. I'm just wondering if this is correct?

?temp_hash=cf837626c0695dd932af5fd7aa30c911.png
My second picture has a dual piston setup and my question is whether the P_contact variable on either side is halved?

?temp_hash=cf837626c0695dd932af5fd7aa30c911.png
 

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Assuming that the black area is a fluid, P_in will be the same as P_contact. The forces on the two sides will be different though.
 
nasu said:
Assuming that the black area is a fluid, P_in will be the same as P_contact. The forces on the two sides will be different though.
Oh no, forgot to mention the black area would be a solid like steel or something. The Pressure for P_in would be due to a gas like air and the grey area would be a solid too like steel or wood.
 
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