Hysteretic Behavior of Moment-Resisting Frames Considering Slab Restraint and Framing Action
Publication: Journal of Structural Engineering
Volume 146, Issue 8
Abstract
This paper examines the influence of framing action and slab continuity on the hysteretic behavior of composite steel moment-resisting frames (MRFs) by means of high-fidelity continuum finite-element (CFE) analyses of two-bay subsystems and typical cruciform subassemblies. The CFE model, which is made publicly available, was thoroughly validated with available full-scale experiments and considers variations in the beam depth and the imposed loading history. The simulation results suggest that beams in subsystems may experience up to 25% less flexural strength degradation than those in typical subassemblies. This is because of local buckling straightening from the slab continuity and framing action evident in subsystems. For the same reason, beam axial shortening attributable to local buckling progression is up to five times lower in subsystems than in subassemblies, which is consistent with field observations. While the hysteretic behavior of interior panel zone joints is symmetric, exterior joint panel zones in subsystems experience large asymmetric shear distortions regardless of the employed lateral loading history. From a design standpoint, it is found that the probable maximum moment in deep and slender beams () may be up to 25% higher than that predicted by current design provisions with direct implications to capacity design of steel MRFs. The 25% reduction in the shear stud capacity as proposed by current seismic provisions is not imperative for MRFs comprising intermediate to shallow beams and/or featuring a high degree of composite action () as long as ductile shear connectors are employed.
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Data Availability Statement
The developed and validated high-fidelity continuum finite-element model of composite steel subsystem moment-resisting frames including a newly developed Fortran code (VUEL) that can be compiled with Abaqus for modeling the cyclic behavior of shear studs are publicly available at GitHub (https://github.com/eljisr/IMK_Pinching_VUEL).
Acknowledgments
This study is based on work supported by the Swiss National Science Foundation (Project No. 200021_169248). The financial support is gratefully acknowledged. Any opinions expressed in the paper are those of the authors and do not necessarily reflect the views of sponsors.
References
AISC. 2016a. Prequalified connections for special and intermediate steel moment frames for seismic applications. ANSI/AISC 358-16. Chicago: AISC.
AISC. 2016b. Seismic provisions for structural steel buildings. ANSI/AISC 341-16. Chicago: AISC.
AISC. 2016c. Specification for structural steel buildings. ANSI/AISC 360-16. Chicago: AISC.
Alashker, Y., S. El-Tawil, and F. Sadek. 2010. “Progressive collapse resistance of steel-concrete composite floors.” J. Struct. Eng. 136 (10): 1187–1196. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000230.
Amadio, C., and M. Fragiacomo. 1993. “A finite element model for the study of creep and shrinkage effects in composite beams with deformable shear connections.” Costruzioni Metalliche 4: 213–228.
ASTM. 2015. Standard specification for structural steel shapes. West Conshohocken, PA: ASTM.
Ayoub, A. 2005. “A force-based model for composite steel–concrete beams with partial interaction.” J. Constr. Steel Res. 61 (3): 387–414. https://doi.org/10.1016/j.jcsr.2004.08.004.
Ayoub, A., and F. C. Filippou. 2000. “Mixed formulation of nonlinear steel-concrete composite beam element.” J. Struct. Eng. 126 (3): 371–381. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:3(371).
Bärtschi, R. 2005. Load bearing behaviour of composite beams in low degrees of partial shear connection. Zürich, Switzerland: Swiss Federal Institute of Technology in Zürich.
Baskar, K., N. E. Shanmugam, and V. Thevendran. 2002. “Finite-element analysis of steel–concrete composite plate girder.” J. Struct. Eng. 128 (9): 1158–1168. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:9(1158).
Bursi, O. S., and M. Ballerini. 1996. “Behavior of a steel-concrete composite substructure with full and partial shear connection.” In Proc., 11th World Conf. on Earthquake Engineering. Oxford, UK: Pergamon.
Bursi, O. S., and G. Gramola. 1999. “Behaviour of headed stud shear connectors under lowcycle high amplitude displacements.” Mater. Struct. 32 (4): 290–297. https://doi.org/10.1007/BF02479599.
Bursi, O. S., and J. P. Jaspart. 1998. “Basic issues in the finite element simulation of extended end plate connections.” Comput. Struct. 69 (3): 361–382. https://doi.org/10.1016/S0045-7949(98)00136-9.
Bursi, O. S., F.-F. Sun, and S. Postal. 2005. “Non-linear analysis of steel–concrete composite frames with full and partial shear connection subjected to seismic loads.” J. Constr. Steel Res. 61 (1): 67–92. https://doi.org/10.1016/j.jcsr.2004.06.002.
Carreira, D. J., and K.-H. Chu. 1985. “Stress-strain relationship for plain concrete in compression.” J. Proc. 82 (6): 797–804.
CEN (European Committee for Standardization). 2004a. Eurocode 4: Design of composite steel and concrete structures—Part 1-1: General rules and rules for buildings. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2004b. Eurocode 8: Design of structures for earthquake resistance—Part 1: General rules, seismic actions and rules for buildings. Brussels, Belgium: CEN.
Cheng, C.-T., and C.-C. Chen. 2005. “Seismic behavior of steel beam and reinforced concrete column connections.” J. Constr. Steel Res. 61 (5): 587–606. https://doi.org/10.1016/j.jcsr.2004.09.003.
Chung, W. J., J. W. Cho, and T. Belytschko. 1998. “On the dynamic effects of explicit FEM in sheet metal forming analysis.” Eng. Computations 15 (6): 750–776. https://doi.org/10.1108/02644409810231880.
Civjan, S. A., M. D. Engelhardt, and J. L. Gross. 2001. “Slab effects in SMRF retrofit connection tests.” J. Struct. Eng. 127 (3): 230–237. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:3(230).
Civjan, S. A., and P. Singh. 2003. “Behavior of shear studs subjected to fully reversed cyclic loading.” J. Struct. Eng. 129 (11): 1466–1474. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:11(1466).
Clifton, C., M. Bruneau, G. MacRae, R. Leon, and A. Fussell. 2011. “Steel structures damage from the Christchurch earthquake series of 2010 and 2011.” Bull. NZ Soc. Earthquake Eng. 44 (4): 297–318. https://doi.org/10.5459/bnzsee.44.4.297-318.
Cordova, P. P., and G. Deierlein. 2005. Validation of the seismic performance of composite RCS frames: Full-scale testing, analytical modeling, and seismic design. Stanford, CA: Stanford Univ.
Deierlein, G. G., A. M. Reinhorn, and M. R. Willford. 2010. Nonlinear structural analysis for seismic design. Gaithersburg, MD: National Institute of Standards and Technology.
Del Carpio, M., G. Mosqueda, and D. Lignos. 2014. Hybrid simulation of the seismic response of a steel moment frame building structure through collapse. Buffalo, NY: Univ. at Buffalo.
Donahue, S., M. Engelhardt, P. Clayton, E. Williamson, and T. Helwig. 2017. Role of the floor system in the cyclic response of composite steel gravity framing. Reston, VA: ASCE.
El Jisr, H., A. Elkady, and D. G. Lignos. 2019. “Composite steel beam database for seismic design and performance assessment of composite-steel moment-resisting frame systems.” Bull. Earthquake Eng. 17 (6): 3015–3039. https://doi.org/10.1007/s10518-019-00564-w.
Elkady, A., and D. G. Lignos. 2014. “Modeling of the composite action in fully restrained beam-to-column connections: Implications in the seismic design and collapse capacity of steel special moment frames.” Earthquake Eng. Struct. Dyn. 43 (13): 1935–1954. https://doi.org/10.1002/eqe.2430.
Elkady, A., and D. G. Lignos. 2015a. “Analytical investigation of the cyclic behavior and plastic hinge formation in deep wide-flange steel beam-columns.” Bull. Earthquake Eng. 13 (4): 1097–1118. https://doi.org/10.1007/s10518-014-9640-y.
Elkady, A., and D. G. Lignos. 2015b. “Effect of gravity framing on the overstrength and collapse capacity of steel frame buildings with perimeter special moment frames.” Earthquake Eng. Struct. Dyn. 44 (8): 1289–1307. https://doi.org/10.1002/eqe.2519.
Elkady, A., and D. G. Lignos. 2018a. “Full-scale testing of deep wide-flange steel columns under multiaxis cyclic loading: Loading sequence, boundary effects, and lateral stability bracing force demands.” J. Struct. Eng. 144 (2): 04017189. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001937.
Elkady, A., and D. G. Lignos. 2018b. “Improved seismic design and nonlinear modeling recommendations for wide-flange steel columns.” J. Struct. Eng. 144 (9): 04018162. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002166.
El-Tawil, S., and G. G. Deierlein. 2001. “Nonlinear analysis of mixed steel-concrete frames. I: Element formulation.” J. Struct. Eng. 127 (6): 647–655. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:6(647).
Engelhardt, M., M. Venti, G. Fry, S. Jones, and S. Holliday. 2000. Behavior and design of radius-cut reduced beam section connections. Richmond, CA: SAC Joint Venture.
FEMA. 2000a. Recommended seismic design criteria for new steel moment-frame buildings. Washington, DC: FEMA.
FEMA. 2000b. State of the art report on connection performance. Washington, DC: FEMA.
FEMA. 2009. Effects of strength and stiffness degradation on seismic response. Washington, DC: FEMA.
Gattesco, N. 1999. “Analytical modeling of nonlinear behavior of composite beams with deformable connection.” J. Constr. Steel Res. 52 (2): 195–218. https://doi.org/10.1016/S0143-974X(99)00026-7.
Genikomsou, A. S., and M. A. Polak. 2015. “Finite element analysis of punching shear of concrete slabs using damaged plasticity model in ABAQUS.” Eng. Struct. 98 (Sep): 38–48. https://doi.org/10.1016/j.engstruct.2015.04.016.
Goto, Y., G. P. Kumar, and N. Kawanishi. 2010. “Nonlinear finite-element analysis for hysteretic behavior of thin-walled circular steel columns with in-filled concrete.” J. Struct. Eng. 136 (11): 1413–1422. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000240.
Herrera, R. A., J. M. Ricles, and R. Sause. 2008. “Seismic performance evaluation of a large-scale composite MRF using pseudodynamic testing.” J. Struct. Eng. 134 (2): 279–288. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(279).
Ibarra, L. F., R. A. Medina, and H. Krawinkler. 2005. “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dyn. 34 (12): 1489–1511. https://doi.org/10.1002/eqe.495.
Johansson, M., and K. Gylltoft. 2002. “Mechanical behavior of circular steel–concrete composite stub columns.” J. Struct. Eng. 128 (8): 1073–1081. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:8(1073).
Kim, K. D., and M. D. Engelhardt. 2002. “Monotonic and cyclic loading models for panel zones in steel moment frames.” J. Constr. Steel Res. 58 (5–8): 605–635. https://doi.org/10.1016/S0143-974X(01)00079-7.
Kim, S.-Y., and C.-H. Lee. 2017. “Seismic retrofit of welded steel moment connections with highly composite floor slabs.” J. Constr. Steel Res. 139 (Dec): 62–68. https://doi.org/10.1016/j.jcsr.2017.09.010.
Kolwankar, S., A. Kanvinde, M. Kenawy, D. Lignos, and S. Kunnath. 2018. “Simulating local buckling-induced softening in steel members using an equivalent nonlocal material model in displacement-based fiber elements.” J. Struct. Eng. 144 (10): 04018192. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002189.
Krawinkler, H. 2009. “Loading histories for cyclic tests in support of performance assessment of structural components.” In Proc., 3rd Int. Conf. on Advances in Experimental Structural Engineering. Berkeley, CA: Univ. of California at Berkeley.
Kwasniewski, L., B. Stojadinović, and S. C. Goel. 2002. Local and lateral-torsional buckling of wide-flange beams. Richmond, CA: SAC Joint Venture.
Landolfo, R., et al. 2018. European pre-qualified steel joints (equaljoints). Brussels, Belgium: European Commission.
Lee, J., and G. L. Fenves. 1998. “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech. 124 (8): 892–900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
Lemaitre, J., and J.-L. Chaboche. 1994. Mechanics of solid materials. Cambridge, UK: Cambridge University Press.
Leon, R. T., J. F. Hajjar, and M. A. Gustafson. 1998. “Seismic response of composite moment-resisting connections. I: Performance.” J. Struct. Eng. 124 (8): 868–876. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:8(868).
Liang, Q. Q., B. Uy, M. A. Bradford, and H. R. Ronagh. 2005. “Strength analysis of steel–concrete composite beams in combined bending and shear.” J. Struct. Eng. 131 (10): 1593–1600. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1593).
Lignos, D. G., and H. Krawinkler. 2011. “Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading.” J. Struct. Eng. 137 (11): 1291–1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376.
Lignos, D. G., H. Krawinkler, and A. S. Whittaker. 2011. “Prediction and validation of sidesway collapse of two scale models of a 4-story steel moment frame.” Earthquake Eng. Struct. Dyn. 40 (7): 807–825. https://doi.org/10.1002/eqe.1061.
Liu, J., and A. Astaneh-Asl. 2004. “Moment–rotation parameters for composite shear tab connections.” J. Struct. Eng. 130 (9): 1371–1380. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1371).
Lubliner, J., J. Oliver, S. Oller, and E. Oñate. 1989. “A plastic-damage model for concrete.” Int. J. Solids Struct. 25 (3): 299–326. https://doi.org/10.1016/0020-7683(89)90050-4.
MacRae, G. A., and G. C. Clifton. 2015. Research on seismic performance of steel structures. Auckland, New Zealand: Steel Construction New Zealand.
MacRae, G. A., M. Hobbs, D. Bull, T. Chaudhari, R. Leon, G. C. Clifton, and J. G. Chase. 2013. Slab effects on beam-column subassemblies—Beam strength and elongation issues. Upper Riccarton, Christchurch, New Zealand: Univ. of Canterbury.
Mahin, S. A. 1998. “Lessons from damage to steel buildings during the Northridge earthquake.” Eng. Struct. 20 (4): 261–270. https://doi.org/10.1016/S0141-0296(97)00032-1.
Maison, B. F., and M. S. Speicher. 2016. “Loading protocols for ASCE 41 backbone curves.” Earthquake Spectra 32 (4): 2513–2532. https://doi.org/10.1193/010816EQS007EP.
Matsumura, T., and E. Mizuno. 2007. “3-D FEM analyses on internal state inside the concrete filled steel tubular columns subjected to flexural deformation under axial loading.” J. Struct. Eng. 53 (Aug): 75–83. https://doi.org/10.2208/journalam.11.307.
Mehanny, S. S., and G. Deierlein. 2000. Modeling of assessment of seismic performance of composite frames with reinforced concrete columns and steel beams. Stanford, CA: Stanford Univ.
Okazaki, T., D. G. Lignos, M. Midorikawa, J. M. Ricles, and J. Love. 2013. “Damage to steel buildings observed after the 2011 Tohoku-Oki earthquake.” Earthquake Spectra 29 (1): 219–243. https://doi.org/10.1193/1.4000124.
PEER (Pacific Earthquake Engineering Research Center) and ATC (Applied Technology Council). 2010. Modeling and acceptance criteria for seismic design and analysis of tall buildings. Redwood City, CA: ATC.
Prior, A. M. 1994. “Applications of implicit and explicit finite element techniques to metal forming.” J. Mater. Process. Technol. 45 (1–4): 649–656. https://doi.org/10.1016/0924-0136(94)90413-8.
Qi, L., J. Paquette, M. Eatherton, R. Leon, T. Bogdan, N. Popa, and E. Nunez. 2018. “Analysis of fracture behavior of large steel beam-column connections.” In Proc., 12th Int. Conf. on Advances in Steel-Concrete Composite Structures: ASCCS 2018, 521–526. Valencia, Spain: Universitat Politècnica de València.
Rassati, G. A., R. T. Leon, and S. Noè. 2004. “Component modeling of partially restrained composite joints under cyclic and dynamic loading.” J. Struct. Eng. 130 (2): 343–351. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:2(343).
Rex, C. O., and W. S. Easterling. 2000. “Behavior and modeling of reinforced composite slab in tension.” J. Struct. Eng. 126 (7): 764–771. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:7(764).
Ricles, J. M., J. W. Fisher, L.-W. Lu, and E. J. Kaufmann. 2002. “Development of improved welded moment connections for earthquake-resistant design.” J. Constr. Steel Res. 58 (5): 565–604. https://doi.org/10.1016/S0143-974X(01)00095-5.
SAC Joint Venture. 1997. Protocol for fabrication, inspection, testing, and documentation of beam-column connection tests and other experimental specimens. Richmond, CA: SAC Joint Venture.
Salari, M. R., and E. Spacone. 2001. “Finite element formulations of one-dimensional elements with bond-slip.” Eng. Struct. 23 (7): 815–826. https://doi.org/10.1016/S0141-0296(00)00094-8.
Schafer, B., W. S. Easterling, R. Sabelli, M. R. Eatherton, and J. F. Hajjar. 2019. Steel diaphragm innovation initiative workshop report. Baltimore: Cold-Formed Steel Research Consortium (CFSRC).
Selamet, S., and M. Garlock. 2010. “Guidelines for modeling three dimensional structural connection models using finite element methods.” In Proc., Int. Symp.: Steel Structures: Culture & Sustainability. Istanbul, Turkey: Turkish Constructional Steelwork Association.
Shin, S., and M. D. Engelhardt. 2013. “Cyclic performance of deep column moment frames with weak panel zones.” In Advances in structural engineering and mechanics. Daejeon, South Korea: Korea Advanced Institute of Science and Technology.
Sjaarda, M., S. Walbridge, and J. S. West. 2018. “Assessment of shear connection through composite beam modeling.” Transp. Res. Rec. 2672 (1): 177–185. https://doi.org/10.1177/0361198118781685.
Sousa, A. C., and D. Lignos. 2018. On the inverse problem of classic nonlinear plasticity models: An application to cyclically loaded structural steels. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne.
Sumner, E. A., and T. M. Murray. 2002. “Behavior of extended end-plate moment connections subject to cyclic loading.” J. Struct. Eng. 128 (4): 501–508. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(501).
Suzuki, A., and Y. Kimura. 2019. “Cyclic behavior of component model of composite beam subjected to fully reversed cyclic loading.” J. Struct. Eng. 145 (4): 04019015. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002294.
Suzuki, Y., and D. Lignos. 2018. “Fiber-based model for earthquake-induced collapse simulation of steel frame buildings.” In Proc., 11th US National Conf. on Earthquake Engineering. Oakland, CA: Earthquake Engineering Research Institute.
Suzuki, Y., and D. G. Lignos. 2015. “Large scale collapse experiments of wide flange steel beam-columns.” In Proc., 8th Int. Conf. on Behavior of Steel Structures in Seismic Areas (STESSA). Shanghai, China: Tongji Univ.
Suzuki, Y., and D. G. Lignos. 2019. “Development of collapse-consistent loading protocols for experimental testing of steel columns.” Earthquake Eng. Struct. Dyn. 49 (2): 114–131. https://doi.org/10.1002/eqe.3225.
Tartaglia, R., M. D’Aniello, G. A. Rassati, J. A. Swanson, and R. Landolfo. 2018. “Full strength extended stiffened end-plate joints: AISC vs recent European design criteria.” Eng. Struct. 159 (Mar): 155–171. https://doi.org/10.1016/j.engstruct.2017.12.053.
Tremblay, R., N. Tchebotarev, and A. Filiatrault. 1997. “Seismic performance of RBS connections for steel moment resisting frames: Influence of loading rate and floor slab.” In Proc., 2nd Int. Conf. on Behavior of Steel Structures in Seismic Areas. Salerno, Italy: Edizioni.
Tsitos, A., M. A. Bravo-Haro, and A. Y. Elghazouli. 2018. “Influence of deterioration modelling on the seismic response of steel moment frames designed to Eurocode 8.” Earthquake Eng. Struct. Dyn. 47 (2): 356–376. https://doi.org/10.1002/eqe.2954.
Uang, C.-M., Q.-S. K. Yu, S. Noel, and J. Gross. 2000. “Cyclic testing of steel moment connections rehabilitated with RBS or welded haunch.” J. Struct. Eng. 126 (1): 57–68. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:1(57).
Voce, E. 1948. “The relationship between stress and strain for homogeneous deformation.” J. Inst. Met. 74: 537–562.
Yamada, S., K. Satsukawa, S. Kishiki, Y. Shimada, Y. Matsuoka, and K. Suita. 2009. “Elasto-plastic behavior of panel zone in beam to external column connection with concrete slab.” J. Struct. Constr. Eng. 74 (644): 1841–1849. https://doi.org/10.3130/aijs.74.1841.
Young, B. W. 1971. Residual stresses in hot-rolled members. Zürich, Switzerland: International Association for Bridge and Structural Engineering.
Zandonini, R., and O. S. Bursi. 2002. “Cyclic behavior of headed stud shear connectors.” In Proc., Composite Construction in Steel and Concrete IV, edited by J. F. Hajjar, M. Hosain, W. S. Easterling, and B. M. Shahrooz, 470–482. Reston, VA: ASCE. https://doi.org/10.1061/40616(281)41.
Zerbe, H. E., and A. J. Durrani. 1989. “Seismic response of connections in two-bay R/C frame subassemblies.” J. Struct. Eng. 115 (11): 2829–2844. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:11(2829).
Zhang, X., J. Ricles, L.-W. Lu, and J. Fisher. 2004. Development of seismic guidelines for deep-column steel moment connections. Bethlehem, PA: Lehigh Univ.
Zhou, F., K. M. Mosalam, and M. Nakashima. 2007. “Finite-element analysis of a composite frame under large lateral cyclic loading.” J. Struct. Eng. 133 (7): 1018–1026. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:7(1018).
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Journal of Structural Engineering
Volume 146 • Issue 8 • August 2020
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©2020 American Society of Civil Engineers.
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Received: Oct 22, 2019
Accepted: Feb 6, 2020
Published online: May 21, 2020
Published in print: Aug 1, 2020
Discussion open until: Oct 21, 2020
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