Abstract
The displacement and strain distributions for a plate segment comprising open cross section are derived considering the pre-buckling deflection of beam axis. Applying the higher order theory obtained to I-beams bent about their major axes by equal end moments, the effects of pre-buckling deflections on local, distortional and lateral-torsional buckling are investigated. Solving eigen-value problems, it is clarified that the stress corresponding to distortional buckle of an I-beam is conservative compared with that neglecting the pre-buckling deflections and the stress corresponding to lateral-torsional buckle occuring at long lengths are progressive compared with the results of Timoshenko.
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