DOI QR코드

DOI QR Code

Effects of shear deformation on the effective length of tapered columns with I-section for steel portal frames

  • Li, Guo-Qiang (Department of Building and Structural Engineering, Tongji University) ;
  • Li, Jin-Jun (Department of Building and Structural Engineering, Tongji University)
  • Published : 2000.11.25

Abstract

Based on the stiffness equation of the tapered beam element involving the effects of axial force and shear deformation, numerical investigations are carried out on elastic instability for web-linearly tapered columns with I-section of steel portal frames. Effects of shear deformation on the effective length of the tapered columns with I-section are studied. An efficient approach for determining the effective length of the tapered portal frame columns considering effects of shear deformation is proposed.

Keywords

References

  1. AISC, LRFD (1994), Manual of Steel Construction, Load and Resistance Factor Design, 2d., American Institute of Steel Construction, Chicago, IL.
  2. AI-Gahtani, H.J. (1996), "Exact stiffness for tapered members," Journal of Structural Engineering, 122(10), 1234-1239. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:10(1234)
  3. Banerjee, J.R (1985), "Exact Bernoulli-Euler dynamic stiffness matrix for a range of tapered beam-columns," International Journal for Numerical Methods in Engineering, 21(12), 2289-2302. https://doi.org/10.1002/nme.1620211212
  4. Banerjee, J.R. (1986), "Exact Bernoulli-Euler static stiffness matrix for a range of tapered beam-columns," International Journal for Numerical Methods in Engineering, 23(9), 1615-1628. https://doi.org/10.1002/nme.1620230904
  5. CECS 102 (1998), Steel Structural Specifications for Portal Frames (in Chinese).
  6. Ermoupoulos, J.C. and Kounadis, A.N.(l985), "Stability of frames with tapered built-up members," Journal of Structural Engineering, 111(9), 1978-1993.
  7. Gallagher, R.H. (1970), "Matrix dynamic and instability analysis with non-uniform elements," International Journal for Numerical Methods in Engineering, 2(1), 265-275. https://doi.org/10.1002/nme.1620020212
  8. Gupta, R.S. and Rao, S.S. (1978), "Finite element eigenvalue analysis of tapered and twisted Timoshenko beams," Journal of Sound and Structures, 16(6), 731-748.
  9. Just, D.J. (1977), "Plane framework of tapering box and I-section," Journal of Structural Division, 103(1), 71-86.
  10. Karabalis, D.L. (1983), "Static, dynamic and stability analysis of structures composed of tapered beams," Computers and Structures, 16(6), 731-748. https://doi.org/10.1016/0045-7949(83)90064-0
  11. Khulief, Y. and Bazoune, A. (1992), "Frequencies of rotating tapered beams with different boundary conditions," Computers and Structures, 42(5), 781-795. https://doi.org/10.1016/0045-7949(92)90189-7
  12. Kim, M.C., Lee, G.C. and Chang, K.C. (1995), "Inelastic buckling of tapered members with accumulated strain," Structural Engineering and Mechanics, 3(6), 611-622. https://doi.org/10.12989/sem.1995.3.6.611
  13. Li, G.Q. and Shen, Z.Y. (1998), Theory for analysis and calculation of elastic and elasto-plastic behavior of steel frameworks, Shanghai Science and Technology Press (in Chinese).
  14. Lindberg, G.M. (1963), Vibration of non-uniform beams, The Aerospace Quarterly, 14(2), 387-395.
  15. Oral, S. (1995), "Hybrid-stress finite element for nonuniform filament-wound composite box-beams", Computers and Structures, 56(4), 667-672. https://doi.org/10.1016/0045-7949(94)00556-I
  16. Ramalingeswara, R. and Ganesan, N. (1995), "Dynamic response of tapered composite beams using higher order shear deformation theory," Journal of Sound and Vibration, 187(5), 737-755. https://doi.org/10.1006/jsvi.1995.0560
  17. To, C.W.S. (1981), "A linearly tapered beam finite element incorporating shear deformation and rotary inertia for vibration analysis", Journal of Sound and Vibration, 78(4), 475-484. https://doi.org/10.1016/S0022-460X(81)80118-6
  18. Vu-Quoc, L. and Leger, P. (1992), "Effect evaluation of the flexibility of tapered I-beams accounting for shear deformation," International Journal for Numerical Methods in Engineering, 33(3), 553-566. https://doi.org/10.1002/nme.1620330306
  19. Wang, W.M. (1998), "Study of instability of tapered portal frame structures", Master Thesis, Dept. of Civil Engineering, Tsinghua University (in Chinese).

Cited by

  1. Buckling analysis of tapered lattice columns using a generalized finite element vol.20, pp.6, 2004, https://doi.org/10.1002/cnm.684
  2. A second-order inelastic model for steel frames of tapered members with slender web vol.25, pp.8, 2003, https://doi.org/10.1016/S0141-0296(03)00043-9
  3. An efficient method for computation of effective length factor of columns in a steel gabled frame with tapered members vol.64, pp.4, 2008, https://doi.org/10.1016/j.jcsr.2007.09.001
  4. Buckling analysis of semi-rigid gabled frames vol.55, pp.3, 2015, https://doi.org/10.12989/sem.2015.55.3.605
  5. Large-Scale Testing of Steel Portal Frames Comprising Tapered Beams and Columns vol.5, pp.4, 2002, https://doi.org/10.1260/136943302320974626
  6. Efficient computation of buckling loads for plane steel frames with tapered members vol.28, pp.5, 2006, https://doi.org/10.1016/j.engstruct.2005.10.004