SECOND-ORDER AXIAL DEFLECTIONS OF IMPERFECT 3-D BEAM-COLUMN. TECHNICAL NOTE

Beam-columns, in general, undergo axial elongation not only from the applied axial forces but also from the transverse deflections. A practical method that takes into account the effects of these transverse deflections on the total axial deformation of a beam-column, is by multiplying the first-order axial stiffness by the geometrically nonlinear factor (s-sub-1). A general solution for s-sub-1 is derived for the combined effects of end moments, a uniformly distributed load, a series of concentrated loads, sidesway, and out-of-straightness. This solution requires numerical integration and is limited to three-dimensional (3D) elastic prismatic beam-columns with doubly symmetrical cross sections or singly symmetrical 2D beam-columns under small strains. The proposed solution can be applied to the second-order and stability analyses of frames and to the evaluation of the axial load induced by transverse loads in beams built into rigid supports. These effects are particularly important in long-span structures. An example is presented to show the validity of the proposed formulation.

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  • English

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  • Accession Number: 00802108
  • Record Type: Publication
  • Contract Numbers: V215, HR/OY/E-13/98
  • Files: TRIS
  • Created Date: Nov 12 2000 12:00AM