A generalized FE formulation for buckling analysis of solid or built-up columns with nonprismatic section

• Autorzy: Li, G.-Q. , Li, J.-J.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a generalized FE formulation for buckling analysis of nonprismatic columns with various cross-sections is established by using the Chebyshev polynomial approach to the governing differential equation. The proposed formulation includes the effects of shear deformation and is therefore applicable to solid or built-up columns. The change of the sectional properties along the length direction, such as the area and inertia moment, need not be fitted with approximate expressions and can be defined exactly and freely with user-defined functions in programming. Buckling of the three structures, respectively for a tapered mast column with a circular hollow section, a web-tapered I-sectional column and a tapered lattice column, is studied numerically and compared with the results of previous studies. The effects of shear deformation on the buckling loads of those tapered columns are specified.

Słowa kluczowe

PL

słup; wyboczenie; odkształcenie; wytrzymałość materiałów

EN

solid column; built-up column; nonprismatic section; shear deformation; FE analysis; buckling load

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2003
• Tom: Vol. 8, no 4
• Strony: 651-663
• Opis fizyczny: Bibliogr. 12 poz., rys., tab., wykr.

Twórcy

autor

Li, G.-Q.

• Department of Building and Structural Engineering, Tongji University 1239 Siping Road, Shanghai, 200092, P.R. CHINA,

autor

Li, J.-J.

• National Maglev Transportation Engineering R&D Center 2520 Longyang Road, Shanghai, 201204, P.R. CHINA

Bibliografia

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• [3] Brook J., Mahendran M. and Kretachmer M. (2000): Buckling behavior and design of tapered Steel lighting masts. - Australian Journal of Structural Engineering, vol.3, No.l and 2, pp.109-113.
• [4] Dube G.P. and Dumir P.C. (1996): Tapered thin open section beams on elastic foundation - buckling analysis, Computers and Structures, vol.61, No.5, pp.845-857.
• [5] Ermopoulos J.C. and Kounadis A.N. (1985): Stability of frames with tapered built-up members. - Journal of Structural Engineering, ASCE, vol.111, No.9, pp.1979-1992.
• [6] Gere J.M. and Carter W.O. (1962): Critical buckling loads for tapered columns. - Journal of Structural Division, ASCB. vol.88, No.l, pp. 1-11.
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• [8] Karabalis D.L. (1983): Static, dynamic and stability analysis of structures composed of tapered beams. - Computers and Structures, vol.l6, No.6, pp.731-748.
• [9] Li G.Q. and Shen Z.Y. (1998): Theory for Analysis and Calculation of Elastic and Elasto-Plastic Behavior of Steel Frameworks. - Shanghai: Shanghai Science and Technology Press (in Chinese).
• [10] Li G.Q. and Li J.J. (2000): Effects of shear deformation on the effective length of tapered columns with I-section for Steel portal frames. - Structural Engineering and Mechanics, vol.l0, No.5, pp.479-490.
• [11] Timoshenko S.P. and Gere J.M. (1961): Theory of Elastic Stability. - New York: McGraw-Hill Publishing Company, Second Edition.
• [12] Weisgerber F.E. and Salahuddin K. (1989): Elastic stability of non-prismatic columns. - Proceedings of the Sessions Related to Steel Structures at Structure Congress’89, October 11-12, 1989, San Francisco, CA, USA, pp.410-417.