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The interaction of axial compression and biaxial bending, according to EN 1993-1-1, is explained in detail under this title.

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NEd: Design norma] force
Npl,Rd: Design plastic resistancc resistance to normal forces of the gross cross-section
MEd: Design bending moment
My, Rd : Design values of the resistancc resistance to bending moments, y-y
Mz, Rd : Design values of the resistance to bending moments, z-z axis
hw: depth of a cross-section
tw: web thickness
fy: Strength of axial compressive force available according to Section E
Ϭx,Ed: Design value of the local longitudinal stress
YMO : Partial factor for resistance of cross-sections, whatever the class is
YMI : Partial factor for resistance of members to instability assessed by member checks
YM2 : Partial factor for resistance of cross-sections in tension to fracture

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6.2.9 Bending and Axial Force

6.2.9.1 Class 1 and 2 cross-sections

For class classes 1 and 2, the interaction of axial force and bending moment is considered according to Eq. 6.32.

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  • There is no interaction if the belowed below equations are satisfied for doubly symmetrical I and H sections.

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  • There is an interaction if the belowed below equation is satisfied for doubly symmetrical I and H sections

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body--uriencoded--$$ \normalsize N_E_d ≤\frac%7B h_w t_w f_y%7D%7Bγ_m_0%7D$$

6.2.9.2 Class 3 cross-sections

The maximum longitudinal stress should satisfy Eq. 6.42.

 

Mathinline
body--uriencoded--$$ \normalsize Ϭ_x_,_E_d ≤\frac%7B f_y%7D%7Bγ_m_0%7D$$

6.2.9.3 Class 4 cross-sections

The maximum longitudinal stress should satisfy Eq. 6.43.

Mathinline
body--uriencoded--$$ \normalsize Ϭ_x_,_E_d ≤\frac%7B f_y%7D%7Bγ_m_0%7D$$

AlternatiflyAlternatively,

Mathinline
body--uriencoded--$$ \normalsize N_E_d ≤\frac%7B N_E_d%7D%7BA_e_f_f f_y / γ_m_0%7D + \frac%7B M_y_,_E_d +N_E_d e_N_y%7D%7BW_e_f_f,_y_m_i_nf_y / γ_m_0%7D + \frac%7B M_z_,_E_d +N_E_d e_N_z%7D%7BW_e_f_f,_z_m_i_nf_y / γ_m_0%7D$$

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