D.5.B.14.3 Bending, Shear, and Axial Force Interaction
In addition to the 3 parts of the Cl: 6.2.10 of EC3, the Dutch National Annex specifies:
Interaction for Class 1 and 2 Sections
- For Class 1 and 2 I section the interaction between bending, shear force, and axial force
when bending about strong axis can be checked using:
where
= = = = - the design bending moment about the major axis
= - the moment capacity calculated per Eqn. 6.30 of EN1993-1-1.
= - the design axial force
= - the axial capacity (tension or compression) calculated per Eqn. 6.10 of EN1993-1-1.
= - the shear factor calculated per Cl. 6.2.8(3) of EN1993-1-1.
= - the shear area parallel to the web calculated per Cl. 6.2.6(3) of EN1993-1-1.
= - the width of the flange
= - the thickness of the flange
= - the cross-sectional area
= - yield strength
- For Class 1 and 2 square or rectangular tube sections the interaction between bending,
shear force, and axial force when bending about strong axis can be checked
using:
where
= = = = - the moment capacity calculated per Eqn. NB 29 of the Dutch NA 2016.
= - factor calculated per Cl. 6.2.8(8) of EN1993-1-1.
= - the width of the member
= - the thickness of the member
- For Class 1 and 2 I section the interaction between bending, shear force, and axial force
when bending about weak axis can be checked using:
where
= - the moment capacity calculated as:
= = - the design bending moment about the minor axis
= - factor calculated per Cl. 6.2.8(7) of EN1993-1-1.
= - the shear area parallel to the flange calculated per Cl. 6.2.6(3) of EN1993-1-1.
- For Class 1 and 2 square or rectangular tube sections the interaction between bending,
shear force, and axial force when bending about weak axis can be checked
using:
where
= = - For Class 1 and 2 round hollow section sections the interaction between bending, shear
force, and axial force can be checked using:
where
= =
Biaxial Bending
Biaxial bending with axial and shear force can be determined using:
|
Bending Stability for Class 4 Sections
- when the conditions of Cl. 6.2.6(6) must be met.
- when and then the following condition must be met:
Additionally, the program check if Cl. 6.2.6(6) is met. This states that in addition to the shear buckling resistance for webs without intermediate stiffeners should satisfy Section 5:
where= | ||
= | ||
= |
For tube sections, both strong and weak axis should be considered.