FAQ 003376 EN

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

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

${\mathrm N}_{\mathrm{cr},\mathrm T}\;=\frac1{{\mathrm i}_{\mathrm M}^2}\;\cdot\;\left(\frac{\mathrm\pi^2\;\cdot\;\mathrm E\;\cdot\;{\mathrm I}_{\mathrm w}}{{\mathrm L}_{\mathrm T}^2}\;+\;\mathrm G\;\cdot\;{\mathrm I}_{\mathrm t}\right)$

${\mathrm i}_{\mathrm M}\;=\;\sqrt{{\mathrm i}_{\mathrm u}^2\;+\;{\mathrm i}_{\mathrm v}^2\;+\;{\mathrm u}_{\mathrm M}^2\;+\;{\mathrm v}_{\mathrm M}^2}$

where

 E is the modulus of elasticity, G is the shear modulus, Iw is the warping constant of cross-section, It is the torsional constant, iu, iv are the principal radii of gyration, um, vm are the coordinates the shear center in the principal axis system, LT is the torsional buckling length.

Reference

 [1] Roik, K.; Carl, J.; Lindner, J. (1972). Biegetorsionsprobleme gerader dünnwandiger Stäbe. Berlin: Ernst & Sohn.

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• Updated 5 April 2021

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