structural / design / Eurocode 3

Eurocode 3 lateral-torsional buckling screen.

Estimate the major-axis buckling resistance of a Class 1, 2, or 3 steel section using the first-generation EN 1993-1-1 general case and a user-supplied elastic critical moment Mcr.

Declared scope: preliminary member screen

This page implements the general method in EN 1993-1-1 §6.3.2.2. It does not calculate Mcr, select a section, or provide a complete steel member design.

first-generation Eurocode basis

Separate the buckling model from the resistance reduction.

The calculation follows EN 1993-1-1:2005 with AC:2009 and A1:2014, using the general lateral-torsional buckling method in clause 6.3.2.2. Mcr is deliberately an input so the designer can document the actual restraints, moment diagram, load application, and section properties used to obtain it.

Equations used

NON-DIMENSIONAL SLENDERNESSλLT = √(Wyfy/Mcr)
REDUCTION FACTORΦLT = 0.5[1 + αLT(λLT - 0.2) + λLT2]
BUCKLING RESISTANCEχLT = 1/[ΦLT + √(ΦLT2 - λLT2)]  ·  Mb,Rd = χLTWyfy/γM1

The declared section class controls the modulus convention. The result is compared with MEd as a utilisation screen.

Assumptions and limits

  • First-generation EN 1993-1-1 general case, clause 6.3.2.2, under major-axis bending.
  • User-supplied Mcr and imperfection factor αLT; CivilKits does not perform the elastic critical-moment analysis.
  • No Class 4 effective properties, modified rolled-section method in clause 6.3.2.3, axial-force interaction, shear/torsion interaction, fire, fatigue, connections, or restraints design.
  • Confirm section classification, buckling curve, γM1, load combination, and National Annex before project use.