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9 - AHP Merkle GmbH

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60<br />

Buckling strength<br />

Proper dimensioning of hydraulic cylinders with pushing load makes use of the four so-called Euler buckling<br />

modes. Because the following calculations already include a quintuple safety margin, the results can be used<br />

directly.<br />

d: Piston rod diameter [mm]<br />

F: Axial force [N]<br />

L: Mounting distance [mm]<br />

First Euler buckling mode: piston rod is neither guided nor fastened – cylinder fi xed<br />

L =<br />

Second Euler buckling mode: piston rod and cylinder with rotating bearing<br />

L =<br />

Third Euler buckling mode: piston rod with rotating bearing – cylinder fi xed<br />

L =<br />

Fourth Euler buckling mode: piston rod guided and fastened – cylinder fi xed<br />

L =<br />

π 3 • d 4 • 164.06<br />

F<br />

π<br />

F<br />

3 • d4 • 656.25<br />

π<br />

F<br />

3 • d4 • 1312.5<br />

π<br />

F<br />

3 • d4 • 2625

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