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Structural Engineering and Mechanics Volume 26, Number 6, August20 2007 , pages 651-672 DOI: https://doi.org/10.12989/sem.2007.26.6.651 |
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Effective buckling length of steel column members based on elastic/inelastic system buckling analyses |
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Yong-Soo Kyung, Nam-Il Kim, Ho-Kyung Kim and Moon-Young Kim
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| Abstract | ||
| This study presents an improved method that uses the elastic and inelastic system buckling analyses for determining the K-factors of steel column members. The inelastic system buckling analysis is based on the tangent modulus theory for a single column and the application is extended to the frame structural system. The tangent modulus of an inelastic column is first derived as a function of nominal compressive stress from the column strength curve given in the design codes. The tangential stiffness matrix of a beam-column element is then formulated by using the so-called stability function or Hermitian interpolation functions. Two inelastic system buckling analysis procedures are newly proposed by utilizing nonlinear eigenvalue analysis algorithms. Finally, a practical method for determining the K-factors of individual members in a steel frame structure is proposed based on the inelastic and/or elastic system buckling analyses. The K-factors according to the proposed procedure are calculated for numerical examples and compared with other results in available references. | ||
| Key Words | ||
| inelastic system buckling; effective buckling length; column; plane frame; tangent modulus theory. | ||
| Address | ||
| Yong-Soo Kyung: Dept. of Civil and Environmental Engineering, Sungkyunkwan University, Cheoncheon-dong, Jangan-gu, Suwon, Kyongki, 440-746, Korea Nam-Il Kim: Dept. of Civil and Environmental Engineering, Myongji University, Nam-dong, Cheoin-gu, Yongin, Kyongki, 449-728, Korea Ho-Kyung Kim: Dept. of Civil Engineering, Mokpo National University, 61 Dorim-ri, Cheonggye-myeon, Muan-gun, Jeonnam 534-729, Korea Moon-Young Kim: Dept. of Civil and Environmental Engineering, Sungkyunkwan University, Cheoncheon-dong, Jangan-gu, Suwon, Kyongki, 440-746, Korea | ||