Slenderness Criterion

Critère d’élancement

λ < λ_{\lim}

λ_{\lim} = \frac{20 \cdot A \cdot B \cdot C}{\sqrt{n}} according to French NA

A = \frac{1}{1 + 0.2 \cdot φ_{ef}} = 0.7 if φ_{ef} is unknown

B = \sqrt{1 + 2 \cdot ω} = 1.1 if ω is unknown

C = 1.7 - r_{m} = 0.7 if r_{m} is unknown

n = \frac{N_{Ed}}{A_{C} \cdot f_{cd}}

r_{m} = \{\begin{cases} 1, if unbraced elements in general \\ 1, if braced elements with moments of first order principally due to imperfections or transversal loads \\ \frac{M_{01}}{M_{02}} \leq 1, if other cases \end{cases}

λ	Critère d’élancement
λ_lim	Élancement limite
φ_ef	Coefficient de fluage effectif
ω	Ratio mécanique d’armatures
r_m	Rapport des moments
M₀₁, M₀₂	Valeurs algébriques des moments du premier ordre aux deux extrémités de l’éléments

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