Elastoplastic Cross-Sectional Behavior of Composite Beams with High-Strength Steel: Analytical Modeling
Publication: Journal of Structural Engineering
Volume 141, Issue 10
Abstract
Composite steel-concrete beams that use high-strength (HS) steel sections are more sustainable from an environmental low-carbon perspective than those that use mild steel because less steel is needed. Quantifying the elastoplastic cross-sectional behavior of composite beams using HS steel sections is important because HS steel has significant differences in its plastic properties when compared with conventional mild steel. It is also important to establish this behavior in order to apply the principles of rigid plastic design. This paper develops a new analytical model for the cross-sectional analysis of HS steel-concrete composite beams to elucidate this elastoplastic response, so as to ascertain the validity of applying rigid plastic design. Both material nonlinearity and partial shear connection are incorporated in the analysis. The constitutive model for the steel is specified by using a multilinear stress-strain relationship, and that of the concrete is based on a model in terms of its axial stress-strain relationship that is prescribed in Eurocode 4. The slip strain between the steel and concrete components at the interface is treated as being dependent on the curvature and the degree of shear connection. The equation of horizontal equilibrium is derived, from which the curvature and the corresponding strain distribution through the depth of the cross-section can be obtained, leading to the bending moment resisted by the cross section. Comparisons with experimental results, those from rigid plastic analysis as well as with numerical solutions, demonstrate that the analytical procedure is adequate and accurate, providing a much-needed analytical solution for establishing the moment-curvature response of composite beams with HS steel.
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Acknowledgments
This work was supported by the Australian Research Council through an Australian Laureate Fellowship (FL100100063) awarded to the second author, as well as through a Research Associate fellowship awarded by the School of Civil and Environmental Engineering at the University of New South Wales to the first author. Both sources of funding are gratefully acknowledged.
References
Ban, H. Y., and Bradford, M. A. (2013a). “Ductility of composite beams constructed with high-strength steel sections.” Proc., 7th Int. Symp. on Steel Structures (ISSS-2013), Korean Society of Steel Construction, Seoul, Korea, 90–91.
Ban, H. Y., and Bradford, M. A. (2013b). “Flexural behaviour of composite beams with high strength steel.” Eng. Struct., 56, 1130–1141.
Ban, H. Y., Shi, G., Shi, Y. J., and Bradford, M. A. (2013a). “Experimental investigation of the overall buckling behaviour of 960 MPa high strength steel columns.” J. Constr. Steel Res., 88, 256–266.
Ban, H. Y., Shi, G., Shi, Y. J., and Wang, Y. Q. (2012a). “Overall buckling behavior of 460 MPa high strength steel columns: Experimental investigation and design method.” J. Constr. Steel Res., 74, 140–150.
Ban, H. Y., Shi, G., Shi, Y. J., and Wang, Y. Q. (2012b). “Residual stress tests of high-strength steel equal angles.” J. Struct. Eng., 1446–1454.
Ban, H. Y., Shi, G., Shi, Y. J., and Wang, Y. Q. (2013b). “Column buckling test of 420 MPa high strength steel single equal angles.” Int. J. Struct. Stab. Dyn., 13(2), 1–23.
Ban, H. Y., Shi, G., Shi, Y. J., and Wang, Y. Q. (2013c). “Residual stress of 460 MPa high strength steel welded box section: Experimental investigation and modeling.” Thin-Walled Struct., 64, 73–82.
Beg, D., and Hladnik, L. (1996). “Slenderness limit of class 3 I cross-sections made of high strength steel.” J. Constr. Steel Res., 38(3), 201–217.
Bradford, M. A., and Gilbert, R. I. (1989). “Non-linear behaviour of composite beams at service loads.” Struct. Eng., 67(14), 263–268.
Bradford, M. A., and Pi, Y. L. (2012). “Nonlinear elastic-plastic analysis of composite members of high-strength steel and geopolymer concrete.” Comput. Model. Eng. Sci., 89(5), 387–414.
BSI (British Standards Institution). (2004a). “Eurocode 2: Design of concrete structures—Part 1-1: General rules and rules for buildings.”, London.
BSI (British Standards Institution). (2004b). “Eurocode 4: Design of composite steel and concrete structures—Part 1-1: General rules and rules for buildings.”, London.
BSI (British Standards Institution). (2007). “Eurocode 3: Design of steel structures—Part 1-12: Additional rules for the extension of EN 1993 up to steel grades S700.”, London.
Cederfeld, L., and Sperle, J.-O. (2012). “High strength steel in the roof of Swedbank Arena: Savings in weight, cost and environmental impact.” Nordic Steel Construction Conf. 2012, Norwegian Steel Association, Oslo, Norway, 15–24.
Chapman, J. C., and Balakrishnan, S. (1964). “Experiments on composite beams.” Struct. Eng., 42(11), 369–383.
Chen, J., and Young, B. (2008). “Design of high strength steel columns at elevated temperatures.” J. Constr. Steel Res., 64(6), 689–703.
Chen, J., Young, B., and Uy, B. (2006). “Behavior of high strength structural steel at elevated temperatures.” J. Struct. Eng., 1948–1954.
Cruz, A., Simões, R., and Alves, R. (2012). “Slip factor in slip resistant joints with high strength steel.” J. Constr. Steel Res., 70, 280–288.
Dusicka, P., and Lewis, G. (2010). “High strength steel bolted connections with filler plates.” J. Constr. Steel Res., 66(1), 75–84.
Earls, C. J. (1999). “On the inelastic failure of high strength steel I-shaped beams.” J. Constr. Steel Res., 49(1), 1–24.
El-Tawil, S., and Deierlein, G. G. (2001). “Nonlinear analyses of mixed steel-concrete moment frames. Part I: Beam-column element formulation.” J. Struct. Eng., 647–655.
Gao, L., Sun, H. C., Jiang, K. B., and Xu, G. Y. (2008). “Load-carrying capacity of the high-strength steel thin-walled box-section beam.” Proc., 10th Int. Symp. on Structural Engineering for Young Experts, Science Press, Beijing, 877–882.
Girão Coelho, A. M., and Bijlaard, F. S. K. (2007). “Experimental behaviour of high strength steel end-plate connections.” J. Constr. Steel Res., 63(9), 1228–1240.
Girão Coelho, A. M., and Bijlaard, F. S. K. (2009). “Experimental behaviour of high-strength steel web shear panels.” Eng. Struct., 31(7), 1543–1555.
Girão Coelho, A. M., and Bijlaard, F. S. K. (2010). “High strength steel in buildings and civil engineering structures: Design of connections.” Adv. Struct. Eng., 13(3), 413–429.
IABSE (International Association for Bridge, and Structural Engineering). (2005). Use and application of high-performance steels for steel structures, Zurich, Switzerland.
Joo, H. S., Moon, J., Choi, B. H., and Lee, H. (2013). “Rotational capacity and optimum bracing point of high strength steel I-girders.” J. Constr. Steel Res., 88, 79–89.
Lee, C. H., Han, K. H., Uang, C. M., Kim, D. Y., Park, C. H., and Kim, J. H. (2013). “Flexural strength and rotation capacity of I-shaped beams fabricated from 800-MPa steel.” J. Struct. Eng., 1043–1058.
MATLAB [Computer software]. Natick, MA, MathWorks.
McDermott, J. F. (1969). “Local plastic buckling of A514 steel members.” J. Struct. Div., 95(ST9), 1837–1850.
Može, P., and Beg, D. (2010). “High strength steel tension splices with one or two bolts.” J. Constr. Steel Res., 66(8–9), 1000–1010.
Može, P., and Beg, D. (2011). “Investigation of high strength steel connections with several bolts in double shear.” J. Constr. Steel Res., 67(3), 333–347.
Može, P., Beg, D., and Lopatič, J. (2007). “Net cross-section design resistance and local ductility of elements made of high strength steel.” J. Constr. Steel Res., 63(11), 1431–1441.
Newmark, N. M., Siess, C. P., and Viest, I. M. (1951). “Tests and analysis of composite beams with incomplete interaction.” Proc. Soc. Exp. Stress Anal., 9(1), 75–92.
Nishino, F., Ueda, Y., and Tall, L. (1967). “Experimental investigation of the buckling of plates with residual stresses.”, ASTM, Philadelphia, 12–30.
Oehlers, D. J., and Bradford, M. A. (1995). Composite steel and concrete structural members: Fundamental behaviour, Pergamon Press, Oxford, U.K.
Pocock, G. (2006). “High strength steel use in Australia, Japan and the US.” Struct. Eng., 84(21), 27–30.
Puthli, R., and Fleischer, O. (2001). “Investigations on bolted connections for high strength steel members.” J. Constr. Steel Res., 57(3), 313–326.
Qiang, X. H., Bijlaard, F. S. K., and Kolstein, H. (2012). “Post-fire mechanical properties of high strength structural steels S460 and S690.” Eng. Struct., 35, 1–10.
Qiang, X. H., Bijlaard, F. S. K., and Kolstein, H. (2013). “Post-fire performance of very high strength steel S960.” J. Constr. Steel Res., 80, 235–242.
Ranzi, G., Bradford, M. A., and Uy, B. (2004). “A direct stiffness analysis of a composite beam with partial interaction.” Int. J. Numer. Methods Eng., 61(5), 657–672.
Rasmussen, K. J. R., and Hancock, G. J. (1992). “Plate slenderness limits for high strength steel sections.” J. Constr. Steel Res., 23(1), 73–96.
Rasmussen, K. J. R., and Hancock, G. J. (1995). “Tests of high strength steel columns.” J. Constr. Steel Res., 34(1), 27–52.
Rotter, J. M., and Ansourian, P. (1979). “Cross-section behaviour and ductility of composite beams.” Proc. Inst. Civ. Eng. London, 67(2), 453–474.
Shi, G., Ban, H. Y., and Bijlaard, F. S. K. (2012a). “Tests and numerical study of ultra-high strength steel columns with end restraints.” J. Constr. Steel Res., 70, 236–247.
Shi, G., Ban, H. Y., Shi, Y. J., and Wang, Y. Q. (2008). “Residual stress of high strength steel welded sections.” Proc., 10th Int. Symp. on Structural Engineering for Young Experts (Volume I), Science Press, Beijing, 424–429.
Shi, G., Ban, H. Y., Shi, Y. J., and Wang, Y. Q. (2009). “Recent research advances on the buckling behavior of high strength and ultra-high strength steel structures.” Proc., Shanghai Int. Conf. on Technology of Architecture and Structure (ICTAS 2009) (Volume 1), Tongji University Press, Shanghai, China, 75–89.
Shi, G., Liu, Z., Ban, H. Y., Zhang, Y., Shi, Y. J., and Wang, Y. Q. (2012b). “Tests and finite element analysis on the local buckling of 420 MPa steel equal angle columns under axial compression.” Steel Compos. Struct., 12(1), 31–51.
Shinohara, T., Suekuni, R., and Lkarashi, K. (2012). “Cyclic behavior of high strength steel H-shaped beam.” Appl. Mech. Mater., 174–177, 159–165.
Spacone, E., and El-Tawil, S. (2004). “Nonlinear analysis of steel-concrete composite structures: State of the art.” J. Struct. Eng., 159–168.
Sperle, J.-O. (1985). “Fatigue strength of high strength dual-phase steel sheet.” Int. J. Fatigue, 7(2), 79–86.
Sperle, J.-O., and Trogen, H. (1989). “Influence of yield ratio on the fatigue-strength of steel sheet.” Scand. J. Metall., 18(4), 147–154.
Tondini, N., Hoang, V. L., Demonceau, J. F., and Franssen, J. M. (2013). “Experimental and numerical investigation of high-strength steel circular columns subjected to fire.” J. Constr. Steel Res., 80, 57–81.
Usami, T., and Fukumoto, Y. (1982). “Local and overall buckling of welded box columns.” J. Struct. Div., 108(ST3), 525–542.
Usami, T., and Fukumoto, Y. (1984). “Welded box compression members.” J. Struct. Eng., 2457–2470.
Uy, B., and Sloane, R. J. (1998). “Behaviour of composite tee beams constructed with high strength steel.” J. Constr. Steel Res., 46(1), 203–204.
Wang, Y. B., Li, G. Q., Chen, S. W., and Sun, F. F. (2012). “Experimental and numerical study on the behavior of axially compressed high strength steel columns with H-section.” Eng. Struct., 43, 149–159.
Yam, L. C. P., and Chapman, J. C. (1968). “The inelastic behaviour of simply supported composite beams of steel and concrete.” Proc. Inst. Civ. Eng. London, 41(4), 651–683.
Yasunori, A., and Sumio, H. (1981). “Elastic-plastic analysis of composite beams with incomplete interaction by finite element method.” Comput. Struct., 14(5–6), 453–462.
Zhao, H. L., and Yuan, Y. (2010). “Experimental studies on composite beams with high-strength steel and concrete.” Steel Compos. Struct., 10(5), 373–383.
Zuidema, B. K., Denner, S. G., Engl, B., and Sperle, J.-O. (2001). “New high strength steels applied to the body structure of ULSAB-AVC.”, SAE International, Warrendale, PA, 984–992.
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Published In
Journal of Structural Engineering
Volume 141 • Issue 10 • October 2015
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© 2014 American Society of Civil Engineers.
History
Received: Sep 6, 2013
Accepted: Oct 24, 2014
Published online: Dec 12, 2014
Discussion open until: May 12, 2015
Published in print: Oct 1, 2015
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