Section Discretization of Fiber Beam-Column Elements for Cyclic Inelastic Response
Publication: Journal of Structural Engineering
Volume 138, Issue 5
Abstract
The paper presents studies of the effect of the number of material integration points at the monitored sections of fiber beam-column elements on the local response of typical structural cross sections under an extensive set of cyclic biaxial load conditions with constant and variable axial load. The study covers wide-flange steel sections and rectangular reinforced concrete sections. The integration over the section uses the midpoint rule and shows that a standard section discretization with relatively few fibers is a good compromise between accuracy and economy of means. The proposed coarse section discretization schemes are computationally efficient while ensuring the accurate representation of important aspects of the three-dimensional response of structural members, such as interaction of axial force with biaxial bending moment, effect of residual stress in steel members, and effect of cracking in reinforced concrete members. The local strain response is also represented with good accuracy by the coarse discretization schemes.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The first author thanks the Ministry of Science of the Republic of Serbia for financial support under project number TR-36046.
References
Berry, M. P. (2006). “Performance modeling strategies for modern reinforced concrete bridge columns.” Ph.D. thesis, Univ. of Washington, Seattle.
Bousias, S. N., Verzeletti, G., Fardis, M. N., and Gutierrez, E. (1995). “Load-path effects in column biaxial bending and axial force.” J. Eng. Mech.JENMDT, 121(5), 596–605.
Campbell, S. D. (1994). “Nonlinear elements for three dimensional frame analysis.” Ph.D. thesis, Univ. of California, Berkeley.
Ciampi, V., and Carlesimo, L. (1986). “A nonlinear beam element for seismic analysis of structures.” 8th European Conf. on Earthquake Engineering, 73–80.
Filippou, F. C., and Fenves, G. L. (2004). “Methods of analysis for earthquake-resistant structures.” Chapter 6, Earthquake engineering: From engineering seismology to performance-based engineering, Bozorgnia, Y. and Bertero, V. V., eds., CRC Press, Boca Raton, FL.
Hajjar, J. F., Molodan, A., and Schiller, P. H. (1998). “A distributed plasticity model for cyclic analysis of concrete-filled steel tube beam-columns and composite frames.” Eng. Struct., 20(4–6), 398–412.ENSTDF
Jiang, Y., and Saiidi, M. (1990). “Four-spring element for cyclic response of R/C columns.” J. Struct. Eng.JSENDH, 116(4), 1018–1029.
Kostic, S. M., and Filippou, F. C. (2010). “Section discretization considerations in fiber beam-column elements for nonlinear frame analysis.” PEER Rep. 2010/112, Pacific Earthquake Engineering Research Center, College of Engineering, Univ. of California, Berkeley, CA, in press.
Kostic, S. M., and Filippou, F. C. (2012). “Efficient section discretization of fiber beam-column elements for nonlinear dynamic frame analysis.” J. Struct. Eng.JSENDH, in press.
Lai, S., Will, G. T., and Otani, S. (1984). “Model for inelastic biaxial bending of concrete members.” J. Struct. Div.JSDEAG, 110(11), 2563–2584.
Lee, C.-L., and Filippou, F. C. (2009). “Frame elements with mixed formulation for singular section response.” Int. J. Numer. Methods Eng., 78(11), 1320–1344.IJNMBH
Low, S. S., and Moehle, J. P. (1987). “Experimental study of reinforced concrete columns subjected to multi-axial cyclic loading.” EERC Rep. 87/14, Earthquake Engineering Research Center, Univ. of California, Berkeley.
Majorana, C., Odorizzi, S., and Vitaliani, R. (1982). “Shortened quadrature rules for finite elements.” Adv. Eng. Software, 4(2), 52–57.
Mari, A., and Scordelis, A. C. (1984). “Nonlinear geometric material and time dependent analysis of three dimensional reinforced and prestressed concrete frames.” SESM Rep. 82-12, Dept. of Civil Engineering, Univ. of California, Berkeley.
Menegotto, M., and Pinto, P. E. (1977). “Slender RC compressed members in biaxial bending.” J. Struct. Div.JSDEAG, 103(3), 587–605.
Scott, B. D., Park, R., and Priestly, M. J. N. (1982). “Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates.” J. Am. Concr. Inst.JACIAX, 79(1), 13–27.
Spacone, E., Filippou, F. C., and Taucer, F. F. (1996). “Fiber beam-column model for nonlinear analysis of RC frames: I: Formulation.” Earthquake Eng. Struct. Dyn., 25(7), 711–725.IJEEBG
Taucer, F. F., Spacone, E., and Filippou, F. C. (1991). “A fiber beam-column element for seismic analysis of reinforced concrete structures.” UCB/EERC-91/17, Earthquake Engineering Research Center, Univ. of California, Berkeley.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 138 • Issue 5 • May 2012
Pages: 592 - 601
Copyright
© 2012. American Society of Civil Engineers.
History
Received: May 25, 2010
Accepted: Sep 22, 2011
Published online: Sep 26, 2011
Published in print: May 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.