Some thoughts on a surprising result concerning the lateral-torsional buckling of monosymmetric I-section beams

This technical note addresses a surprising result concerning the lateral-torsional buckling of monosymmetric I-section beams: amongst all bending moment diagrams caused by any combination of applied end moments and transverse loads acting at the shear centre, the lowest critical moment does not necessarily correspond to uniform bending, which is at odds with the “intuitive expectation” of most engineers that such bending moment distribution is the most unfavourable with respect to lateral-torsional buckling. It is shown, by means of several illustrative examples, that this may not be the case for I-section beams with unequal flanges (monosymmeric cross-section – symmetry with respect to the minor axis). Moreover, the critical inspection of the terms (i) associated with the cross-section monosymmetry and (ii) appearing in the beam potential energy expression and differential equilibrium equation provides the mechanical/mathematical explanation for this surprising behavioural feature.

► LTB of monosymmetric I-beams under end moments and/or transverse loads acting on the shear centre.
► Surprising result: uniform bending does not necessarily correspond to the lowest critical moment.
► Illustration by means of LTBeam and GBTul numerical results concerning fork-supported beams.
► Mechanical/mathematical interpretation based on potential energy and LTB equilibrium equation.
► Beams acted by transverse loads benefit less from section asymmetry due to wider compressed flange.