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The Quarterly Journal of Mechanics and Applied Mathematics 1954 7(4):410-426; doi:10.1093/qjmam/7.4.410
© 1954 by Oxford University Press
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THE FLEXURAL-TORSIONAL BUCKLING OF MEMBERS OF SYMMETRICAL I-SECTION UNDER COMBINED THRUST AND UNEQUAL TERMINAL MOMENTS

M. R. HORNE

( Engineering Department, University of Cambridge )

A solution is derived for the elastic buckling load of a symmetrical I-section member subjected to an axial thrust applied through the centroid combined with unequal terminal bending moments acting in the plane of the web. An energy method is employed, using an estimate of the deflected form obtained by a method of successive approximation. The solution may be obtained to any required degree of accuracy. Approximate formulae which always give conservative results are also derived.


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