Slenderness ratio General
20.7
Fig. 1
Comparison of slimness levels
A cross-sectional area d bar diameter da outer diameter di inner diameter lk bar length I moment of area λ slenderness ratio Fk buckling force
The slenderness ratio is an indicator that expresses the risk of buckling of a cross section. A cross-section with a high slenderness ratio is particularly susceptible to buckling.
For long, slender cutting dies, this load scenario must be backed up by a control calculation.6053
Eqn. 1
Eqn. 2
| Slenderness ratio | λ | = | |||
| Radius of gyration | i | = | mm |
| Free buckling length | lK | = | mm | |||
| Moment of area | I | = | mm4 | |||
| Cross sectional area | A | = | mm2 |
Calc 1
General60
Example I A bar with the moment of area 19175 mm4, a cross-sectional area of 491 mm2 and a buckling length of 100 mm has a slenderness ratio of 16 with a radius of gyration of 6.25 mm.
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Klepzig, W. / Schneid- und Umformwerkzeuge für die Blechbearbeitung (Stanzwerkzeuge) / Hochschul-Lehrmaterial / Zwickau / 2010 / …
60
Böge, A. / Arbeitshilfen und Formeln für das technische Studium / Vieweg / Braunschweig / 1985 / 6. Auflage