بحث بعنوان A Parametric Study on Lateral Torsional Buckling of European IPN and IPE Cantilevers

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A Parametric Study on Lateral Torsional Buckling of European IPN and IPE Cantilevers
H. Ozbasaran

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Abstract—IPN and IPE sections, which are commonly used
European I shapes, are widely used in steel structures as cantilever
beams to support overhangs. A considerable number of studies exist
on calculating lateral torsional buckling load of I sections. However,
most of them provide series solutions or complex closed-form
equations. In this paper, a simple equation is presented to calculate
lateral torsional buckling load of IPN and IPE section cantilever
beams. First, differential equation of lateral torsional buckling is
solved numerically for various loading cases. Then a parametric
study is conducted on results to present an equation for lateral
torsional buckling load of European IPN and IPE beams. Finally,
results obtained by presented equation are compared to differential
equation solutions and finite element model results. ABAQUS
software is utilized to generate finite element models of beams. It is
seen that the results obtained from presented equation coincide with
differential equation solutions and ABAQUS software results. It can
be suggested that presented formula can be safely used to calculate
critical lateral torsional buckling load of European IPN and IPE
section cantilevers.
Keywords—Cantilever, IPN, IPE, lateral torsional buckling
CONCLUSION
In this paper, a parametric equation to calculate LTB load
of cantilever IPN and IPE sections are presented. Section
properties of mentioned sections are simplified and LTB load
parameter is calculated for concentrated load at free end,
uniformly distributed load, combination of concentrated load
at free end and uniformly distributed load and constant
moment cases. However, ./ parameter of presented equation
can be calculated for any loading case. The results obtained by
presented equation, differential equation solutions and
ABAQUS software models are compared. It is seen that
results obtained by presented equation perfectly coincide with
differential equation and ABAQUS solutions. Lateral torsional
buckling loads of IPN and IPE section cantilevers can be
determined by presented formula and can be safely used in
design procedures.

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