Iterative Approach for Global and Local Stability of Built-up Stiffened Box Sections
Keywords:
Box sections, structural stability, stiffened plates, steel structures, hollow sections
Abstract
This paper describes iterative procedure for stability analysis of stiffened built-up stiffened box sections subject to combined loadings. Unconstrained optimization algorithm (UOA) is used to compute the global and local buckling stresses. Energy formulation is first presented for the structural elements assuming the stiffeners are rigidly connected to the flanges. Global buckling load also determined by minimizing the unconstrained objective function with respect to the displacement coefficients. The webs are assumed partially restrained against rotation and subject to non-uniform compressive and shear loadings. Web local buckling is also formulated using (UOA) by treating the skew angle and half wave length as design variables. Results are presented to illustrate structural performance of the assembled box section. Design guidelines are proposed that can be utilized in practice to maximize the structural response.
References
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[2] Roy K., Ting T C, Lau H, Lim J. Experimental and numerical investigations on the axial capacity of cold-formed steel built-up box sections. Journal of Construction Steel Research, 2019, 160 :411-427
[3] L P., Yang Y., Yuan J., Jia B. Numerical investigation into prestressed stayed steel box section columns under eccentric loading, Journal of Construction Steel Research, 2019, 159:1-12.
[4] Hsu H, Tsao J. Flexural–torsional performance of thin-walled steel hollow box columns subjected to a cyclic eccentric load. Thin-Walled Structures, 2007, 45 (2):149–58.
[5] Choi B. , Yoo C. “Strength of stiffened flanges in horizontally curved box girders” Journal of Engineering Mechanics, 2005, 131 (2): 167-176.
[6] Wen P.; Aliabadi M., Young A.; ”Boundary element analysis of shear deformable stiffened plates”. Engineering Analysis with Boundary Elements, 2002, 26 :511-520.
[7] Jeon S., Cho M., Lee I. Static and dynamic analysis of composite box beams using large deflection theory. Computers and Structures; 1995, 57(4):635–642.
[8] Gonçalves R, Camotim D. local and global buckling analysis of aluminium and stainless steel columns. Computer and Structure, 2004, 82(17):1473–1484.
[9] Hsu H, Juang L, "Performance of thin-walled box columns strengthened with internal braces, Thin-Walled Structures, 2000, 37: 241–258
[10] Cetinkaya O., Nakamura S., Takahashi K. Ultimate strain of stiffened steel box sections under bending moment and axial force fluctuations, Engineering Structures, 2009, 31: 778–787
[11] Zheng Y, Usami T, Ge H. Ductility of thin-walled steel box stub-columns. J Struct Eng ASCE, 2000, 126 (11):1304–1311.
[12] Nath S, Ahmed S, Kim S. Analytical solution of a stiffened orthotropic plate using alternative displacement potential approach. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2010, 224 (1): 89-99.
[13] Young B, Hartono W. Compression tests of stainless steel tubular members. J Struct Eng, ASCE, 2002; 128(6):754–761
[14] Jiang W. Bao G., Robert J. “Finite element modeling of stiffened and unstiffened orthotropic plates” Computers & Structures, 1997, 63:105-117
[15] Zhang H, DesRoches R, Yang Z., Liu S. Experimental and analytical studies on a streamlined steel box girder, Journal of Constructional Steel Research, 2010, 66:906–914
[16] Chen J, Li W., Han L., Wang F., Mu, T. Structural behaviour of concrete-encased CFST box stub columns under axial compression, Journal of Construction Steel Research, 2019, 158:248-262.
[17] Song Y., Li J., Chen Y. Local and post-local buckling of normal/high strength steel sections with concrete infill, Thin Walled Structures , 2019, 138: 55-169
[18] Lam D, Williams C. Experimental study on concrete filled square hollow sections. Steel and Composite Structures, 2004, 4(2):95–112.
[19] Liang Q. Strength and ductility of high strength concrete-filled steel tubular beam-columns. Journal of Constructional Steel Research, 2009, 65(3):687–98.
[20] Ge H, Gao Sh, Usami T. Stiffened steel box columns. Part 1: Cyclic behaviour. Earthq Eng Struct Dyn; 2000, 29:1691–706.
[21] Sakai T, Sakino K, Ishibashi H. Experimental studies on concrete-filled square steel tubular short columns subjected to cyclic shearing force and constant axial force. Trans Architectural Institute of Japan (Tokyo),1985, 353: 81–91.
[22] AISI. North American Specification for the Design of Cold-Formed Steel Structural Members. American Iron Steel Institute, Washington DC, USA, 2007
[23] AISC. Steel Construction Manual. 4th Edition. American Institute of Steel Construction, Chicago, USA, 2006.
[24] ASCE/SEI 7-10 7. Minimum Design Loads and other structures. American Society of Civil Engineers, Virginia, USA, 2010.
[25] AASHTO LRFD Bridge Design Specifications, American Association of State Highway and Transportation “- Customary US units “ AASTO Publications, Washington, USA, 2012.
[26] CRC. Handbook of Structural Stability. Column Research Committee of Japan, Corona Publishing Co., Tokyo, Japan, 1971.
[27] CSA-S136-07. North American Specification for the Design of Cold-Formed Steel Structural Members”, Canadian Standard Steel Association, Mississauga, Ontario, Canada, 2007.
[28] CAN/CSA-S16-01.Limit states design of steel structures. Canadian Standards Association, Mississauga, Ontario, Canada, 2007.
[29] Eurocode 3. Design of steel structures Part 1.5: plated structural elements; EN 1993-1-5: 2005.
[30] Gaylord E., Gaylord C., editors. Structural engineering handbook. McGraw-Hill, USA, 1996.
[31] Ziemian R., editor. Guide to Stability Design Criteria for Metal Structures. 6th edition, John Wiley and Sons Ltd. 2010
[32] Beedle L., editor. Stability of metal structures, a world view. 2nd Ed., Structural Stability Research Council, USA, 1991.
[33] Bedair O. Guidelines for Design of Transversely Stiffened Thin Walled Steel Plates. Recent Patents on Engineering, 2016, 10 (1):69-76.
[34] Bedair O. Novel Design Procedures For Rectangular Hollow Steel Sections (RHSS) Subject To Compression, Major & Minor Axes Bending. ASCE, Practice Periodical on Structural Design and Construction, 2015, Vol. 20, 04014051
[35] Bedair O. Modern Steel Design and Construction Used In Canada's Oil Sands Industry. Journal of Steel Design Construction and Research, 2014, 7 (1): 32-40
[36] Bedair O. Rational Design of Pip-Racks Used For Oil Sands and Petrochemical Facilities. ASCE, Periodical on Structural Design and Construction, 2014, (4), 04014029.
[37] Bedair O. “Analysis and Limit State Design of Stiffened Plates and Shells: A World View. Journal of Applied Mechanics Reviews, 2009, Vol. 62 :1-16.
[38] Pham C., Hancock G. Shear buckling of thin-walled channel sections. Journal of Constructional Steel Research, 2009, 65: 578-585
Published
2020-06-20
How to Cite
Bedair, O. (2020, June 20). Iterative Approach for Global and Local Stability of Built-up Stiffened Box Sections. Sustainable Structures and Materials, An International Journal, 3(1), 10-24. https://doi.org/https://doi.org/10.26392/SSM.2020.03.01.010
Section
Articles
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