For the code: EC3 (ENV 1993-1-:1992), the initial deflection is calculated from the following formula:
The calculation of deflection along the Z axis (buckling - Y-Y axis):
The calculation of deflection along the Y axis (buckling - Z-Z axis):
Where:
A - cross-sectional area (A = SX)
a - Eurocode 3 table 5.5.3 and 5.5.1
- reduced slenderness, Eurocode 5.5.1.2 formula (5.46)
Because of the complexity of the calculations, it has been assumed that:
Re [Pa] - limit of elasticity of a material
l = l / i
Where:
l = L * buckling length coefficient
L - member length
table 5.5.1
ks is given in table 5.5.1 in dependence on gM1; the values given in this table for gM1 = 1.1 are always used in calculations:
- buckling curve a: ks = 0.23
- buckling curve b: ks = 0.15
- buckling curve c: ks = 0.11
- buckling curve d: ks = 0.08.
For the code (EN 1993-1:2005) - tabular method, the initial deflection is calculated according to table 5.1 article 5.3.2 (3b).
For the code (EN 1993-1:2022) - the initial deflection is calculated according to article 7.3.3.1.(1)).
A value of deflection depends on the member length and a selected analysis type: elastic or plastic.