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Lateral torsional buckling

The factor used for lateral buckling kcrit will be used in the analysis if the lateral torsional buckling is taken into consideration. This factor is calculated in accordance with chapter 6.3.3. of EN 1995-1-1:

The relative slenderness for bending is calculated using this formula

where is:

λrel,m

  • Relative slenderness for bending

fm,k

  • Characteristic bending strength

σm,crit

  • Critical bending stress

The critical bending stress is calculated using formula

where is:

E0,05

  • Fifth percentile value of modulus of elasticity

G0,05

  • Fifth percentile value of shear modulus

Iz

  • Second moment of area about the weak axis z

Itor

  • Torsional moment of inertia

lef

  • Effective length

Wy

  • Section modulus about axis y

The critical bending stress for softwood with solid rectangular cross-section is calulated in accordance with (6.32)

where is:

σm,crit

  • Critical bending stress

b

  • Width of the member

h

  • Depth of the member

lef

  • Effective length

E0,05

  • Fifth percentile value of modulus of elasticity

The factor used for lateral buckling kcrit is equal to 1.0 for λrel,m ≤ 0,75. Following formula is used for the range 0,75 < λrel,m ≤ 1,4

Following formula is used for λrel,m > 1,4

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