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Sonja von Bloh, M.Sc.

2019-07-31

Calculation of Elastic Torsional Buckling Force for Torsional Buckling in RF-/STEEL EC3

Which formula is used for the calculation of the elastic torsional buckling force for torsional buckling N_cr,T in RF‑/STEEL EC3?

Answer:

The elastic torsional buckling force for torsional buckling N_cr,T is calculated as follows:

N_{cr, T} = \frac{1}{i_{M}^{2}} \cdot (\frac{π^{2} \cdot E \cdot I_{w}}{L_{T}^{2}} + G \cdot I_{t})

i_{M} = \sqrt{i_{u}^{2} + i_{v}^{2} + u_{M}^{2} + v_{M}^{2}}

E	Modulus of elasticity
G	Shear modulus
I_w	Warping resistance
I_t	Torsion moment of inertia
i_u, i_v	Principal radii of gyration
u_M, v_M	Coordinates of the shear center in the principal axis system
L_T	Torsional buckling length

Elastic Critical Load for Torsional Buckling

Author

Ms. von Bloh provides technical support for our customers and is responsible for the development of the SHAPE‑THIN program as well as steel and aluminum structures.

References

Roik, K.; Carl, J.; Lindner, J. Biegetorsionsprobleme gerader dünnwandiger Stäbe. Berlin: Ernst & Sohn, 1972

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Calculation of Elastic Torsional Buckling Force for Torsional Buckling in RF-/STEEL EC3

Which formula is used for the calculation of the elastic torsional buckling force for torsional buckling Ncr,T in RF‑/STEEL EC3?

Which formula is used for the calculation of the elastic torsional buckling force for torsional buckling N_cr,T in RF‑/STEEL EC3?