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Stiffness matrix for twist bend buckling of narrow rectangular sections Zavitz, Bryant Allan

Abstract

The stiffness properties of a short narrow rectangular beam as modified by a primary bending moment and shear stress distribution in the major plane are presented. The beam is a segment taken from a longer member the "structure." A distribution of bending stress is assumed over the beam segment length and its effect on the stiffness properties in lateral bending and torsion obtained. The stiffness matrix is used to obtain the critical value of load for a number of well known examples of narrow rectangular beams and the results are shown to be in good agreement. The results of an energy solution, which produces a symmetrical matrix, are presented. Comparison with classical examples shows accurate results with the added benefit that the symmetrical matrix lends itself much more readily to more complicated problems.

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