Non-linear Analysis of Slender High Strength Concrete Column

Ernesto Fenollosa, Iván Cabrera, Verónica Llopis, Adolfo Alonso

Abstract


This article shows the influence of axial force eccentricity on high strength concrete columns design. The behavior of columns made of normal, middle and high strength concrete with slenderness values between 20 and 60 under an eccentric axial force has been studied. Structural analysis has been developed by means of software which considers both geometrical and mechanical non-linearity. The sequence of points defined by increasing values of axial force and bending moment produced by eccentricity has been represented on the cross-section interaction diagram until failure for each tested column. Then, diagrams depicting the relationship between failure axial force and column's slenderness have been drawn. The loss of bearing capacity of the member for normal and middle strength columns when compared with the bearing capacity of their cross-section is more noticeable as axial force eccentricity assumes higher values. However, this situation reverses for high strength columns with high slenderness values. On the basis of results obtained, the accuracy level for the moment magnifier method was checked. Despite the good concordance in most of the cases, it was verified that the moment magnifier method leads to excessively tight results for high strength concrete columns with high slenderness values. In these specific cases, a coefficient which amends the column rigidity is proposed so as to obtain safer values.


Keywords


Columns; Axial Force; High Strength Concrete; Non-linear Analysis; Moment Magnifier Method.

References


Bresler, B. “Design criteria for reinforced concrete columns under axial load and biaxial bending.” ACI Journal Proceedings (1960): 57, 481-90. doi:10.14359/8031.

Hsu, C.T. “Analysis and design of square and rectangular columns by equation of failure surface.” ACI Structural Journal (1988): vol. 85(2), 167-79. doi:10.14359/2730.

Mavichak, V., and Richard W. Furlong. “Strength and stiffness of reinforced concrete columns under biaxial bending.” No. FHWA-TX-77-7-2F Final Rpt. Center for Highway Research, University of Texas at Austin, 1976.

Al-Noury, Soliman I., and Wai F. Chen. "Finite segment method for biaxial loaded RC columns." Journal of the Structural Division 108, no. 4 (1982): 780-799.

Kim, Jin-Keun, and Joo-Kyoung Yang. “Buckling Behaviour of Slender High-Strength Concrete Columns.” Engineering Structures 17, no. 1 (January 1995): 39–51. doi:10.1016/0141-0296(95)91039-4.

Lee, Tai-Kuang, Cheng-Cheng Chen, Ken Hwa, and Austin D. E. Pan. “Performance of Large Reinforced Concrete Columns Under Axial Compression Loads.” Proceedings of the Institution of Civil Engineers - Structures and Buildings 167, no. 5 (May 2014): 300–311. doi:10.1680/stbu.12.00011.

Zhu, Wei-Qing, Gang Meng, and Jin-Qing Jia. “Experimental Studies on Axial Load Performance of High-Strength Concrete Short Columns.” Proceedings of the Institution of Civil Engineers - Structures and Buildings 167, no. 9 (September 2014): 509–519. doi:10.1680/stbu.13.00027.

Dundar, Cengiz, and Serkan Tokgoz. “Strength of Biaxially Loaded High Strength Reinforced Concrete Columns.” Structural Engineering and Mechanics 44, no. 5 (December 10, 2012): 649–661. doi:10.12989/sem.2012.44.5.649.

Hung, Chung-Chan, Fuo-Yao Hu, and Cheng-Hao Yen. “Behavior of Slender UHPC Columns under Eccentric Loading.” Engineering Structures 174 (November 2018): 701–711. doi:10.1016/j.engstruct.2018.07.088.

Barrera, A.C., J.L. Bonet, M.L. Romero, and P.F. Miguel. “Experimental Tests of Slender Reinforced Concrete Columns under Combined Axial Load and Lateral Force.” Engineering Structures 33, no. 12 (December 2011): 3676–3689. doi:10.1016/j.engstruct.2011.08.003.

American Concrete Institute (ACI), “318-14: Building Code Requirements for Structural Concrete and Commentary” (November 6, 2014). doi:10.14359/51688187.

Leite, L., J.L. Bonet, L. Pallarés, Pedro F. Miguel, and Miguel A. Fernández-Prada. “Experimental Research on High Strength Concrete Slender Columns Subjected to Compression and Uniaxial Bending with Unequal Eccentricities at the Ends.” Engineering Structures 48 (March 2013): 220–232. doi:10.1016/j.engstruct.2012.07.039.

McGuire, W., Gallagher, R. and Ziemian, R. “Matrix structural analysis” (2000) John Wiley & Sons, Inc. New York, USA.

Saber Agha, Ayad Zeki, and Mereen Hassan Fahmi Rashid. “Prediction of the Design Load for High Strength Concrete Columns.” Journal of Civil & Environmental Engineering 06, no. 06 (2016): 1-9. doi:10.4172/2165-784x.1000260.

Abdel-Karim, Mahmoud, Gamal T. Abdel-Rahman, Mohamed Said, and Ibrahim G. Shaaban. “Proposed Model for Strength Analysis of HSC Eccentrically Loaded Slender Columns.” Magazine of Concrete Research 70, no. 7 (April 2018): 340–349. doi:10.1680/jmacr.17.00137.

Pires, Susana L., and Maria Cecilia A.T. Silva. “A Numerical Procedure for Reinforced Concrete Columns with a Focus on Stability Analysis.” Computers and Concrete 14, no. 6 (December 25, 2014): 657–674. doi:10.12989/cac.2014.14.6.657.

Eurocode 2: Design of Concrete Structures. Part 1-1: General Rules and Rules for Building (EN 1992-1-1:2010). (2010) European Committee for Standardization, Brussels.

Kwak, Hyo-Gyoung, and Jin-Kook Kim. “Nonlinear Behavior of Slender RC Columns.” Construction and Building Materials 20, no. 8 (October 2006): 527–537. doi:10.1016/j.conbuildmat.2005.01.036.

Pallarés, L., J.L. Bonet, P.F. Miguel, and M.A. Fernández Prada. “Experimental Research on High Strength Concrete Slender Columns Subjected to Compression and Biaxial Bending Forces.” Engineering Structures 30, no. 7 (July 2008): 1879–1894. doi:10.1016/j.engstruct.2007.12.005.

ANGLE Structural Analysis Software for Finite Elements. Research version. (2018) Department of Continuum Mechanics and Theory of Structures. Universitat Politècnica de València, Spain.

Wang, Gang Gary, and Cheng-Tzu Thomas Hsu. "Complete biaxial load-deformation behavior or RC columns." Journal of Structural engineering 118, no. 9 (1992): 2590-2609. doi: 10.1061/(asce)0733-9445(1992)118:9(2590).

Fenollosa, E., Adolfo Alonso-Durá, and V Llopis. “Method for Evaluating the Flexural Stiffness Bar of Reinforced Concrete Structures.” Applied Mechanics and Materials 351–352 (August 2013): 67–74. doi:10.4028/www.scientific.net/amm.351-352.67.

Kwak, Hyo-Gyoung, and Jin-Kook Kim. “Ultimate Resisting Capacity of Slender RC Columns.” Computers & Structures 82, no. 11–12 (May 2004): 901–915. doi:10.1016/j.compstruc.2004.02.019.

Bonet, J.L., P.F. Miguel, M.A. Fernandez, and M.L. Romero. “Biaxial Bending Moment Magnifier Method.” Engineering Structures 26, no. 13 (November 2004): 2007–2019. doi:10.1016/j.engstruct.2004.08.001.

Tikka, Timo K., and S. Ali Mirza. “Effective Flexural Stiffness of Slender Structural Concrete Columns.” Canadian Journal of Civil Engineering 35, no. 4 (April 2008): 384–399. doi:10.1139/l07-113.

Bedirhanoglu, Idris. “A Practical Neuro-Fuzzy Model for Estimating Modulus of Elasticity of Concrete.” Structural Engineering and Mechanics 51, no. 2 (July 25, 2014): 249–265. doi:10.12989/sem.2014.51.2.249.

Baqersad, Mohamadtaqi, Ehsan Amir Sayyafi, and Hamid Mortazavi Bak. "State of the art: mechanical properties of ultra-high performance concrete." Civil Engineering Journal 3, no. 3 (2017): 190-198.

Mendis, Priyan A. "Behavior of slender high-strength concrete columns." Structural Journal 97, no. 6 (2000): 895-901. doi:10.14359/9635.

Bonet, J.L., M.L. Romero, and P.F. Miguel. “Effective Flexural Stiffness of Slender Reinforced Concrete Columns under Axial Forces and Biaxial Bending.” Engineering Structures 33, no. 3 (March 2011): 881–893. doi:10.1016/j.engstruct.2010.12.009.

Lee, Byung Jae, Seong-Hoon Kee, Taekeun Oh, and Yun-Yong Kim. “Effect of Cylinder Size on the Modulus of Elasticity and Compressive Strength of Concrete from Static and Dynamic Tests.” Advances in Materials Science and Engineering 2015 (2015): 1–12. doi:10.1155/2015/580638.

Tikka, Timo K., and S. Ali Mirza. “Effective Length of Reinforced Concrete Columns in Braced Frames.” International Journal of Concrete Structures and Materials 8, no. 2 (May 20, 2014): 99–116. doi:10.1007/s40069-014-0070-7.

Adinarayana. P and Ramudu, K. “Effect of Using High Strength Concrete Columns on the Structural Behaviour of R.C Buildings.” International Journal of Engineering Sciences & Research Technology (2017): 6(3), 467-475. doi: 10.5281/zenodo.438285.


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DOI: 10.28991/cej-2019-03091343

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