Cross-section verification of cold formed cross-sections
Cross-section verification of cold formed cross-sections is caried out according to EN 1993-1-3 and chapter 6.1.6. The chapter 6.1.6 is called as "Torsional moment", however this calculation can be used as universal cross-section check for combination of occurring forces as follow:
Cross-section check to axial stress acc. to (6.11a):
where | σtot,Ed is the design total direct stress, calculated on the relevant effective cross-section |
fya is the average yield strenght according to EN 1993-1-3 and chapter 3.2.2 |
Cross-section check to shear stress acc. to (6.11b):
where | τtot,Ed is the design total shear stress, calculated on the gross cross-section |
Cross-section check to equivalent stresses acc. to (6.11c):
The total axial stress σtot,Ed and the total shear τtot,Ed should by obtained from (6.12a) and (6.12b) as follow:
and
where | σN,Ed | is the design direct stress due to the axial force NEd (using effective cross-section); |
σMy,Ed | is the design direct stress due to the bending moment My,Ed (using effective cross-section); | |
σMz,Ed | is the design direct stress due to the bending moment Mz,Ed (using effective cross-section); | |
σw,Ed | is the design direct stress due to warping (using gross cross-section); | |
τVy,Ed | is the design shear stress due to the transverse shear force Vy,Ed (using gross cross-section); | |
τVz,Ed | is the design shear stress due to the transverse shear force Vz,Ed (using gross cross-section); | |
τt,Ed | is the design shear stress due to uniform (St. Venant) torsion (using gross cross-section); | |
τw,Ed | is the design shear stress due to warping (using gross cross-section). |