Lateral Instability of I‐Beams with Imperfections

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Abstract
When perfectly straight beams are subjected to loads without eccentricity, the critical load is the lateral‐torsional buckling load obtained as an eigenvalue for the bifurcation problem of beams. Since a real beam used in practice has not only geometrical imperfections due to initial out‐of‐plane and twisting deformations and eccentricity of loads, but also material imperfections, such as premature yielding because of material nonlinearity or residual stress, the behavior of a real beam is somewhat different from that of a perfect beam. The maximum value of load on a load‐deflection curve of a real beam is called the ultimate load‐carrying capacity or, the ultimate load of a beam. In this paper the lateral‐torsional buckling load and the ultimate load‐carrying capacity is distinguished. Then the relationship between the lateral‐torsional buckling load and the ultimate load‐carrying capacity of beams and the effect of the types of residual stress distribution, as well as the loading conditions and the geom...

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