Structural Engineering and Mechanics

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The elastic deflection and ultimate bearing capacity of cracked eccentric thin-walled columns

  • Zhou, L. (Department of Civil Engineering, Xi'an University of Architecture Technology) ;
  • Huang, Y. (Department of Civil Engineering, Wuyi University)
  • Received : 2003.11.26
  • Accepted : 2004.04.09
  • Published : 2005.03.10
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Abstract

The influence of cracks on the elastic deflection and ultimate bearing capacity of eccentric thin-walled columns with both ends pinned was studied in this paper. First, a method was developed and applied to determine the elastic deflection of the eccentric thin-walled columns containing some model-I cracks. A trigonometric series solution of the elastic deflection equation was obtained by the Rayleigh-Ritz energy method. Compared with the solution presented in Okamura (1981), this solution meets the needs of compatibility of deformation and is useful for thin-walled columns. Second, a two-criteria approach to determine the stability factor ${\varphi}$ has been suggested and its analytical formula has been derived. Finally, as an example, box columns with a center through-wall crack were analyzed and calculated. The effects of cracks on both the maximum deflection and the stability coefficient ${\varphi}$ for various crack lengths or eccentricities were illustrated and discussed. The analytical and numerical results of tests on the columns show that the deflection increment caused by the cracks increases with increased crack length or eccentricity, and the critical transition crack length from yielding failure to fracture failure ${\xi}_c$ is found to decrease with an increase of the slenderness ratio or eccentricity.

Keywords

Acknowledgement

Supported by : Guangdong natural Science Foundation

References

  1. EI Naschie, M.S. (1974), 'Branching solution for local buckling of a circumferentially cracked cylindrical-shell', Int. J. of Mechanical Science, 16, 689-697 https://doi.org/10.1016/0020-7403(74)90095-2
  2. Estekanchi, H.E. and Vafai, A (1999), 'On the buckling of cylindrical shells with through cracks under axial load', Thin-Walled Structures, 35(4), 255-274 https://doi.org/10.1016/S0263-8231(99)00028-2
  3. Javidruzi, M., Vafai, A, Chen, J.F. and Chilto, J.C. (2004), 'Vibration, buckling and dynamic stability of cracked cylindrical shells', Thin-Walled Structures, 42(1),79-99 https://doi.org/10.1016/S0263-8231(03)00125-3
  4. Li, Z. (2000), 'Analyzing lateral flexure of cracked eccentric column with Rayleigh-Ritz energy method', Chinese Engineering Mechanics, 17(4), 109-116
  5. Okamura, H. (1981), Introduction of Linear Fracture Mechanics (Translated from Japanese to Chinese by Li, S.L.), Science & Technique Press of Jiangsu
  6. Vafai, A and Estekanchi, H.E. (1999), 'A parametric finite element study of cracked plates and shells', Thin-Walled Structures, 33(3), 211-229 https://doi.org/10.1016/S0263-8231(98)00042-1
  7. Wang, G.Z. and Zhai, L.Q. (1989), Theory and Design of Steel Structure (in Chinese), Press of Tsinghua University, Beijing
  8. Wang, Q. and Chase, J.G. (2003), 'Buckling analysis of cracked column structures and piezoelectric-based repair and enhancement of axial load capacity', Int. J. of Structural Stability and Dynamics, 3(1), 17-33 https://doi.org/10.1142/S0219455403000793

Cited by

  1. Crack effect on the elastic buckling behavior of axially and eccentrically loaded columns vol.22, pp.2, 2006, https://doi.org/10.12989/sem.2006.22.2.169
  2. Advances in Safety Assessment Method for Thin-Walled Shell’s Structure Containing Defects vol.284-287, pp.1662-7482, 2013, https://doi.org/10.4028/www.scientific.net/AMM.284-287.592