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Buckling Boundary Condition 1

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USMechE6

Mechanical
Sep 21, 2016
50
Hello,

I am doing some calcs for a machine that uses a hydraulic cylinder, and I cannot find the Euler effective coefficient for the boundary condition as follows:

Both ends guided translationally plus one end being hinged/pivoted/pinned/whatever notation you use. One end is of course the piston in the cylinder (and the front gland bushing) and then the other end has an end effector with some float . Not quite guided but not free either; maybe I should just conservatively call this end free and not pinned.

Also, what would it be for guided/guided (if I removed the float at the end effector) and I treated it like a quasi-static condition?

No rotational locking.

Thank you in advance.
 
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This sounds like an issue to discuss with the cylinder manufacturer's application engineer, and/or review of cylinder literature. There are more issues at play than just effective length for buckling.
 
Your post is similar to deriving the critical buckling load for a hydraulic actuator. In which case, you would be interested in the buckling of a stepped beam column. As said, when dealing with a cylinder and piston configuration, there are numerous aspects to consider. One such aspect is the moment transfer between the piston head / rod contact points, which will be different to a solid beam column. Will you also need to consider friction moments at the supports? Also, there could be an initial offset due to the taking-up of piston and cylinder clearances etc.
 
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