Imperial College London


Faculty of EngineeringDepartment of Civil and Environmental Engineering

Reader in Structural Engineering



+44 (0)20 7594 6078l.macorini




Ms Ruth Bello +44 (0)20 7594 6040




325Skempton BuildingSouth Kensington Campus






BibTex format

author = {Fieber, A and Gardner, L and Macorini, L},
doi = {10.1016/j.jcsr.2019.04.037},
journal = {Journal of Constructional Steel Research},
pages = {493--506},
title = {Formulae for determining elastic local buckling half-wavelengths of structural steel cross-sections},
url = {},
volume = {159},
year = {2019}

RIS format (EndNote, RefMan)

AB - Formulae for determining elastic local buckling half-wavelengths of structural steel I-sections and box sections under compression, bending and combined loading are presented. Knowledge of local buckling half-wavelengths is useful for the direct definition of geometric imperfections in analytical and numerical models, as well as in a recently developed strain-based advanced analysis and design approach (Gardner et al., 2019a, 2019b). The underlying concept is that the cross-section local buckling response is bound by the theoretical behaviour of the isolated cross-section plates with simply-supported and fixed boundary conditions along their adjoined edges. At the isolated plate level, expressions for the half-wavelength buckling coefficient k Lb , which defines the local buckling half-wavelength of a plate as a multiple of its width b, taking into account the effects of the boundary conditions and applied loading, have been developed based on the results of finite strip analysis. At the cross-sectional level, element interaction is accounted for through an interaction coefficient ζ that ranges between 0 and 1, corresponding to the upper (simply-supported) and lower (fixed) bound half-wavelength envelopes of the isolated cross-section plates. The predicted half-wavelengths have been compared against numerical values obtained from finite strip analyses performed on a range of standard European and American hot-rolled I-sections and square/rectangular hollow sections (SHS/RHS), as well as additional welded profiles. The proposed approach is shown to predict the cross-section local buckling half-wavelengths consistently to within 10% of the numerical results.
AU - Fieber,A
AU - Gardner,L
AU - Macorini,L
DO - 10.1016/j.jcsr.2019.04.037
EP - 506
PY - 2019///
SN - 0143-974X
SP - 493
TI - Formulae for determining elastic local buckling half-wavelengths of structural steel cross-sections
T2 - Journal of Constructional Steel Research
UR -
UR -
VL - 159
ER -