Lateral Torsional Buckling

The Lateral Torsional Buckling Check is executed according to EN 1993-1-1 art. 6.3.2.1.

CHS sections (Formcode 3) are taken as non-susceptible to Lateral Torsional Buckling.

RHS sections (Formcode 2) sections are classified as non-susceptible to Lateral Torsional Buckling if the following condition is fulfilled (Ref.[9] pp.119).

With:

h

Height of RHS section

b

Width of RHS section

Relative slenderness for weak axis flexural buckling

For all other sections the Lateral Torsional Buckling check is executed in which the elastic critical moment for Lateral-Torsional Buckling Mcr is determined by the following formula Ref.[9]:

With:

  E

Modulus of elasticity

 

G

Shear modulus

 

L

Length of the beam between points which have lateral restraint (= lLTB)

 

Iw

Warping constant

 

It

Torsional constant

 

Iz

Moment of inertia about the weak axis

  kLT LTB-length factor

 

k

Factor related to end fixity

 

kw

Factor to account for warping end conditions

 

zg

Distance between point of load application and shear center

 

zj

Asymmetry factor

 

C1

Factor for taking into account the shape of the moment diagram

  C2 Factor for taking into account the position of the loading
  C3 Factor for taking into account the asymmetry of the cross-section

Haunched sections (I+Ivar, Iw+Plvar, Iw+Iwvar, Iw+Ivar, I+Iwvar) and composed rail sections (Iw+rail, Iwn+rail, I+rail, I+2PL+rail, I+PL+rail, I+2L+rail, I+Ud+rail) are considered as equivalent asymmetric I sections.

For advanced Lateral Torsional buckling analysis, see "Annex D: Use of sheeting  ".