Abstract
Beam flexural overstrength is an important parameter in seismic design and evaluation of reinforced concrete (RC) moment resisting frames. It affects the column-to-beam flexural strength ratio (CBSR) which is a key parameter to avoid unfavorable column-driven mechanisms. In RC beam-and-slab floors, interaction between beam growth and slab panels is of a very complex nature which significantly alters the beam flexural overstrength. Enhancement of beam flexural capacity in slab floor systems depends on several parameters that should be considered on a case-by-case basis. To include some of the effects that were not considered in previous studies due to physical limitations of experimental works and lack of appropriate computational tools, a generic two-by-two bay archetype story model with a beam-and-slab floor system were considered for further investigations by means of numerical modelling. In order to consider the spatial effects of the floor system, several computational models were assembled by changing the span and cross section of beams in terms of depth, width and reinforcement ratio as well as the thickness of slabs to perform a parametric study on beam flexural overstrength ratio. Multilayer nonlinear shell elements were used for finite element modelling of slab panels to account for the kinematic effects of beam elongation along with the restraining effects of the floor slab. According to the results of analyses, variation of positive and negative flexural overstrength ratios of beams at different performance levels were presented for different parameters. Results demonstrate that the flexural overstrength ratio is greatly affected by the level of chord rotation (beam lateral drift or performance level) reinforcement ratio and the type of connection. However, beam-to-slab flexural stiffness ratio as well as beam length are not overly important parameters for flexural overstrength evaluation. This study reveals that, despite code prescriptions, CBSR should not be considered identical for all cases; hence, it should be revisited based on the desired performance level, type of connection and the beam reinforcement ratio.
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References
ACI Committee 318 (2014) Building code requirements for structural concrete. American Concrete Institute
Ahmad N, Masoudi M (2020) Eccentric steel brace retrofit for seismic upgrading of deficient reinforced concrete frames. Bull Earthq Eng. 18:2807–2841. https://doi.org/10.1007/s10518-020-00808-0
Ahmed SM, Gunasekaran U, MacRae GA (2015) Analytical investigation on the seismic performance of slabs in RC frame joints. Mag Concr Res 67:1179–1189. https://doi.org/10.1680/jmacr.14.00132
Alaee P, Li B, Cheung PPC (2015) Parametric investigation of 3D RC beam–column joint mechanics. Mag Concr Res 67:1054–1069. https://doi.org/10.1680/macr.15.00005
American Society of Civil Engineers (2017) Seismic evaluation and retrofit of existing buildings, ASCE/SEI 41-17. American Society of Civil Engineers, Reston
Arshian AH, Morgenthal G (2017) Probabilistic assessment of the ultimate load-bearing capacity in laterally restrained two-way reinforced concrete slabs. Eng Struct. https://doi.org/10.1016/j.engstruct.2017.07.035
Aycardi LE, Mander JB, Reinhorn AM (1994) Seismic resistance of reinforced concrete frame structures designed only for gravity loads: experimental performance of subassemblages. ACI Struct J 91:552–563
Barbagallo F, Bosco M, Marino EM, Rossi PP (2020) On the fibre modelling of beams in RC framed buildings with rigid diaphragm. Bull Earthq Eng 18:189–210. https://doi.org/10.1007/s10518-019-00723-z
Bracci JM, Reinhorn AM, Mander JB (1995) Seismic resistance of reinforced concrete frame structures designed for gravity loads: performance of structural system. ACI Struct J 92:597–609
Cheung PC, Paulay T, Park R (1991) New Zealand tests on full-scale reinforced concrete beam-column-slab subassemblages designed for earthquake resistance. Spec Publ SP 123:1–38
Cooper M, Davidson BJ, Ingham JM (2005) The influence of axial compression on the elongation of plastic hinges in reinforced concrete beams. In: Proceedings, The New Zealand concrete industries conference
Dhakal RP, Fenwick RC (2008) Detailing of plastic hinges in seismic design of concrete structures. ACI Struct J 135:740–749
Dooley KL, Bracci JM (2001) Seismic evaluation of column-to-beam strength ratios in reinforced concrete frames. ACI Struct J 98:843–851. https://doi.org/10.14359/10751
Durrani AJ, Wight JK (1987) Earthquake resistance of reinforced concrete interior connections including a floor slab. ACI Struct J 84:400–406. https://doi.org/10.14359/1650
Durrani AJ, Zerbe HE (1987) Seismic resistance of rc exterior connections with floor slab. J Struct Eng 113:1850–1864. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:8(1850)
Dvorkin EN (1995) Nonlinear analysis of shells using the MITC formulation. Arch Comput Methods Eng 2:1–50. https://doi.org/10.1007/BF02904994
Dvorkin EN, Pantuso D, Repetto EA (1995) A formulation of the MITC4 shell element for finite strain elasto-plastic analysis. Comput Methods Appl Mech Eng 125:17–40. https://doi.org/10.1016/0045-7825(95)00767-U
Ehsani MR, Wight JK (1985) Effect of transverse beams and slab on behavior of reinforced concrete beam-to-column connections. ACI J Proc 82:188–195. https://doi.org/10.14359/10327
Eom T, Park H, Asce M (2010) Elongation of reinforced concrete members subjected to cyclic loading. J Struct Eng 136:1044–1054
Ezzeldin M, Wiebe L, El-Dakhakhni W (2017) System-level seismic risk assessment methodology: application to reinforced masonry buildings with boundary elements. J Struct Eng 143:4017084
Fenwick RC, Fong A (1979) The behaviour of reinforced concrete beams under cyclic loading. Bull New Z Natl Soc Earthq Eng 12:158–168
Fenwick RC, Megget LM (1993) Elongation and load deflection characteristics of reinforced concrete members containing plastic hinges. Bull New Z Natl Soc Earthq Eng 26:28–41
French CW, Boroojerdi A (1989) Contribution of R/C floor slabs in resisting lateral loads. J Struct Eng 115:1–18. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:1(1)
French CW, Moehle JP (1991) Effect of floor slab on behavior of slab-beam-column connections. Spec Publ SP 123:225–258
Guan H, Loo Y-C (1997) Flexural and shear failure analysis of reinforced concrete slabs and flat plates. Adv Struct Eng 1:71–85. https://doi.org/10.1177/136943329700100108
Hallinan P, Guan H (2007) Layered finite element analysis of one-way and two-way concrete walls with openings. Adv Struct Eng 10:55–72
Haselton CB, Liel AB, Deierlein GG et al (2010) Seismic collapse safety of reinforced concrete buildings. I: assessment of ductile moment frames. J Struct Eng. https://doi.org/10.1061/(asce)st.1943-541x.0000318
Haselton CB, Asce M, Liel AB et al (2011) Seismic collapse safety of reinforced concrete buildings. I: assess ductile moment frames. J Struct Eng 137:481–491. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000318
He X-H-C, Yi W-J, Yuan X-X (2019a) A non-iterative progressive collapse design method for RC structures based on virtual thermal pushdown analysis. Eng Struct 189:484–496. https://doi.org/10.1016/J.ENGSTRUCT.2019.03.102
He X-H-C, Yuan X-X, Yi W-J (2019b) Irregularity index for quick identification of worst column removal scenarios of RC frame structures. Eng Struct 178:191–205. https://doi.org/10.1016/J.ENGSTRUCT.2018.10.026
Henry RS, Dizhur D, Elwood KJ et al (2017) Damage to concrete buildings with precast floors during the 2016 Kaikoura earthquake. Bull New Z Soc Earthq Eng 50:174–186
Huang Z, Burgess IW, Plank RJ (2000) Effective stiffness modelling of composite concrete slabs in fire. Eng Struct 22:1133–1144. https://doi.org/10.1016/S0141-0296(99)00062-0
Kam WY, Pampanin S, Elwood K (2011) Seismic performance of reinforced concrete buildings in the 22 February Christchurch (Lyttleton) earthquake. Bull New Z Soc Earthq Eng 44:239–276
Kent DC, Park R (1971) Flexural members with confined concrete. Struct Div 97:1969–1990
Kim J, Stanton J, MacRae G (2004) Effect of beam growth on reinforced concrete frames. J Struct Eng 130:1333–1342
Kokusho S, Hayashi S, Wada A, Sakata H (1988) Behaviors of reinforced concrete beam subjected to the axial restriction of deformation. In: Ninth world conference on earthquake engineering, p 5400
Kurose Y, Guimaraes GN, Zuhua L et al (1991) Evaluation of slab-beam-column connections subjected to bidirectional loading. Spec Publ SP 123:39–68
LaFave JM, Wight JK (1999) Reinforced concrete exterior wide beam-column-slab connections subjected to lateral earthquake loading. ACI Struct J 96:577–585. https://doi.org/10.14359/694
Lee JY, Watanabe F (2003) Predicting the longitudinal axial strain in the plastic hinge regions of reinforced concrete beams subjected to reversed cyclic loading. Eng Struct. https://doi.org/10.1016/S0141-0296(03)00026-9
Lee J-Y, Haroon M, Park J, Kim C (2018) Longitudinal axial strain in plastic hinge regions of reinforced concrete columns. Mag Concr Res. https://doi.org/10.1680/jmacr.17.00438
Leon R, Jirsa JO (1986) Bidirectional Loading of R.C. beam-column joints. Earthq Spectra 2:537–564. https://doi.org/10.1193/1.1585397
Loo Y-C, Guan H (1997) Cracking and punching shear failure analysis of RC flat plates. J Struct Eng 123:1321–1330. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1321)
Lu X, Lu X, Guan H, Ye L (2013) Collapse simulation of reinforced concrete high-rise building induced by extreme earthquakes. Earthq Eng Struct Dyn 42:705–723
Lu X, Xie L, Guan H et al (2015) A shear wall element for nonlinear seismic analysis of super-tall buildings using OpenSees. Finite Elem Anal Des 98:14–25. https://doi.org/10.1016/j.finel.2015.01.006
Mander JB, Priestley MJN, Park R (1988) Theoretical stress-strain model for confined concrete. J Struct Eng 114:1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
Marder K, Motter C, Elwood KJ, Clifton GC (2018) Testing of 17 identical ductile reinforced concrete beams with various loading protocols and boundary conditions. Earthq Spectra 34:1025–1049
Mazzoni S, McKenna F, Scott MH, Fenves GL (2006) The open system for earthquake engineering simulation (OpenSEES) user command-language manual
Megget LM, Fenwick RC (1989) Seismic behaviour of a reinforced concrete portal frame sustaining gravity loads. Bull New Z Natl Soc Earthq Eng 22:39–49
Miao Z, Ye L, Guan H, Lu X (2011) Evaluation of modal and traditional pushover analyses in frame-shear-wall structures. Adv Struct Eng 14:815–836
Moehle JP (2014) Seismic design of reinforced concrete buildings. McGraw Hill Professional, New York
Neuenhofer A, Filippou FC (2002) Evaluation of nonlinear frame finite-element models. J Struct Eng 123:958–966. https://doi.org/10.1061/(asce)0733-9445(1997)123:7(958)
NZS (2016) 1170.5:2004 Structural design actions—part 5: earthquake actions—New Zealand. Standards New Zealand
NZS (2017) 3101.1&2:2006 A3 concrete structures standard: amendment 3. Standards New Zealand
Pantazopoulou SJ, Moehle JP (1990a) Truss model for 3-D behavior of R.C. exterior connections. J Struct Eng. https://doi.org/10.1061/(asce)0733-9445(1990)116:2(298)
Pantazopoulou SJ, Moehle JP (1990b) Identification of effect of slabs on flexural behavior of beams. J Eng Mech 116:91–106. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:1(91)
Pantazopoulou SJ, Moehle JP, Shahrooz BM (1988) Simple analytical model for T-beams in flexure. J Struct Eng 114:1507–1523. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:7(1507)
Paulay T, Priestly MJN (1992) Seismic design of reinforced concrete and masonry buildings. Wiley, Hoboken
Pecce M, Ceroni F, Maddaloni G, Iannuzzella V (2017) Assessment of the in-plane deformability of RC floors with traditional and innovative lightening elements in RC framed and wall structures. Bull Earthq Eng 15:3125–3149. https://doi.org/10.1007/s10518-017-0083-0
Peng BHH, Dhakal RP, Fenwick RC et al (2011a) Elongation of plastic hinges in ductile RC members: model development. J Adv Concr Technol. https://doi.org/10.3151/jact.9.315
Peng BHH, Dhakal RP, Fenwick RC et al (2011b) Elongation of plastic hinges in ductile RC members: model verification. J Adv Concr Technol 9:327–338. https://doi.org/10.3151/jact.9.327
Phuvoravan K, Sotelino ED (2005) Nonlinear finite element for reinforced concrete slabs. J Struct Eng 131:643–649
Polak MA (1996) Effective stiffness model for reinforced concrete slabs. J Struct Eng. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:9(1025)
Priestley MJN, Calvi GM, Kowalsky MJ (2007) Displacement-based seismic design of structures, 1st edn. IUSS Press, Pavia
Qi X, Pantazopoulou SJ (1991) Response of RC frame under lateral loads. J Struct Eng 117:1167–1188. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:4(1167)
Rots JG, Nauta P, Kuster GMA, Blaauwendraad J (1985) Smeared crack approach and fracture localization in concrete. Heron 30:1–48
Ruggieri S, Porco F, Uva G (2018) A numerical procedure for modeling the floor deformability in seismic analysis of existing RC buildings. J Build Eng 19:273–284. https://doi.org/10.1016/j.jobe.2018.05.019
Ruggieri S, Porco F, Uva G (2020) A practical approach for estimating the floor deformability in existing RC buildings: evaluation of the effects in the structural response and seismic fragility. Bull Earthq Eng 18:2083–2113. https://doi.org/10.1007/s10518-019-00774-2
Schultz AE (1990) Experiments on seismic performance of RC frames with hinging columns. J Struct Eng. https://doi.org/10.1061/(asce)0733-9445(1990)116:1(125)
Scott MH, Fenves GL (2006) Plastic hinge integration methods for force-based beam–column elements. J Struct Eng 132:244–252
Scott BD, Park R, Priestley MJN (1982) Stress–strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI J Proc 79:13–27. https://doi.org/10.14359/10875
Shahrooz BM, Moehle JP (1987) Experimental study of seismic response of R.C. setback buildings. Earthquake Engineering Research Center, College of Engineering, University of California, Springfield, VA
Shahrooz BM, Pantazopoulou SJ, Chern SP (1992) Modeling slab contribution in frame connections. J Struct Eng 118:2475–2494. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:9(2475)
U.S. Members of JTCC (1988) US-Japan research: seismic design implications. Joint technical coordinating committee group on reinforced concrete building structures. J Struct Eng 114:2000–2016
Vecchio FJ, Tata M (1999) Approximate analyses of reinforced concrete slabs. Struct. Eng. Mech. 8:1–18
Visnjic T, Panagiotou M, Moehle JP (2015) Seismic response of 20-story-tall reinforced-concrete special moment-resisting frames designed with current code provisions. Earthq Spectra 31:869–893
Vojoudi Mehrabani R, Sigrist V (2014) Elongation of reinforced concrete plastic hinges subjected to reversed cyclic loading. J Struct Eng 141:4014188
Wang L, Tian Y, Luo W et al (2019) Seismic performance of axially restrained reinforced concrete frame beams. J Struct Eng 145:4019019
Yalçin Ü, Durrani AJ (1993) Effect of slab on inelastic response of RC building. J Struct Eng 119:1374–1387. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:5(1374)
Zaghi AE, Soroushian S, Itani A et al (2014) Impact of column-to-beam strength ratio on the seismic response of steel MRFs. Bull Earthq Eng. 13:635–652. https://doi.org/10.1007/s10518-014-9634-9
Zerbe HE, Durrani AJ (1989) Seismic response of connections in two-bay r/c frame subassemblies. J Struct Eng 115:2829–2844
Zerbe HE, Durrani AJ (1990) Seismic response of connections in two-bay reinforced concrete frame subassemblies with a floor slab. ACI Struct J 87:406–415
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Masoudi, M., Khajevand, S. Revisiting flexural overstrength in RC beam-and-slab floor systems for seismic design and evaluation. Bull Earthquake Eng 18, 5309–5341 (2020). https://doi.org/10.1007/s10518-020-00907-y
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DOI: https://doi.org/10.1007/s10518-020-00907-y