Buckling
Buckling load of hydraulic cylinders
The approximate buckling load of hydraulic cylinders is checked using Euler's method of calculation.
An admissible buckling load Fk is determined which the cylinder's extending force F1 must not exceed.
The approximate admissible buckling load Fk is calculated on the basis of the piston rod diameter ds and the buckling length Lk. The buckling length Lk can be read from the installation examples shown in the drawing.
Furthermore, the fixations of cylinder and piston rod have to be taken into account. For this purpose, the installation examples shown are assigned the so-called "Euler's installation case" as well as the installation factor x resulting from it.
Calculation formula
| Second moment of area |  |
| Admissible buckling load |  |
| Formula symbol | ||
| ds | Piston rod diameter | [mm] |
| Fk | Admissible buckling load | [N] |
| J | Second moment of area | [mm4] |
| E | Elasticity module | 210000 [N/mm2] |
| x | Installation factor | from table: buckling case |
| S | Safety factor | 3 ... 5 |
Further calculation formulas for the design of hydraulic cylinders:
Calculation formulas for hydraulic cylinder design
Calculation of permissible oil velocities
Buckling cases calculation - piston rod and cylinder attachments
Calculation of the sinusoidal movement of hydraulic cylinders and oscillating cylinders