Euler buckling cases & free buckling lengths
20.1
Fig. 1
Eulerian buckling cases restraint conditions
l k Free buckling length l Length F k buckling forceThe free buckling length l K is calculated using the present Euler case. There are 4 idealized clamping conditions. In most cases, case 2 can be accepted.60
Eqn. 1
Eqn. 2
Eqn. 3
Eqn. 4
| Free buckling length | lk1 | = | mm | ||
| lk2 | = | mm | |||
| lk3 | = | mm | |||
| lk4 | = | mm |
| Length | l | = | mm |
Calc 1
Free buckling length
Ex. I The support length between two surfaces is 100 mm. Depending on the clamping condition, this results in a calculated free buckling length of
- Euler case 1 200 mm
- Euler case 2 100 mm
- Euler case 3 71 mm
- Euler case 4 50 mm
60
Böge, A. / Arbeitshilfen und Formeln für das technische Studium / Vieweg / Braunschweig / 1985 / 6. Auflage