Uticaj pritiskanja poprečnom armaturom na nelinearno ponašanje armiranobetonskih konstrukcija
Sažetak
Uvod/cilj: Projektovanje i proračun konstrukcija zasnivaju se na ponašanju betona i čelika posmatranih odvojeno, bez uzimanja u obzir uticaja uzengija u pritisnutom betonu. Uticaj pritiskanja u modelovanju konstrukcije može se iskoristiti za bolju aproksimaciju stvarnog ponašanja. U studiji je razvijen i testiran nelinearni model za ponašanje armiranobetonskih konstrukcija, uzimajući u obzir pritiskanje betona.
Metode: Za analizu armiranih konstrukcija koristi se model konačnih elemenata 3D koji uzima u obzir deformacije smicanja. Poprečni presek grede je diskretizovan u slojeve oblika trapeza gde se za svaki sloj uzima de je u jednoosnom stanju naprezanja. Primenjuju se nelinearni konstitutivni zakoni materijala. Za pritiskanje betona razmatra se duktilnost materijala korišćenjem relacija predloženih u Buafia i dr. Ti modeli su implementirani u kompjuterski program. Softver prati ponašanje konstrukcija stub-greda pod različitim opterećenjima do dostizanja njihove pune nosivosti.
Rezultati: Rezultati koji su poređeni sa eksperimentalnim rezultatima, naročito kada je reč o maksimalnoj čvrstoći i deformabilnosti, pokazali su se kao veoma zadovoljavajući. Pored toga, korišćenje poprečnog ojačanja za pritiskanje betona utiče na ponašanje armiranobetonskih konstrukcija u celini putem doprinosa duktilnosti.
Zaključak: Razmatranje pritisnutosti u konstrukcijama obezbeđuje najbolji mogući pristup ponašanju konstrukcija u realnosti. Za razliku od postojećih proračunskih izraza, zakoni ponašanja betona ne uzimaju u obzir doprinos pritiskanja pomoću poprečne armature.
Reference
Adjrad, A. 2015. Modelisation non lineaire des structures triangulees composites. PhD Thesis. Tizi Ouzou, People's Democratic Republic of Algeria: University Mouloud Mammeri [online]. Available at: https://dspace.ummto.dz/handle/ummto/1242 [Accessed: 28 May 2024].
Ahmad, S.H. & Shah, S.P. 1982. Complete Triaxial Stress-Strain Curves for Concrete. Journal of the Structural Division, 108(4), pp.728-742. Available at: https://doi.org/10.1061/JSDEAG.0005921.
Bathe, K-J. 2006. Finite Element Procedures. New Jersey: Prentice-Hall. ISBN: 978-0-9790049-0-2.
Bentz, E.C. & Collins, M.P. 2000. Response-2000: Load-Deformation Response of Reinforced Concrete Sections [online]. Available at: https://ingenieriasismica.utpl.edu.ec/sites/default/files/publicaciones/UCG-ES-00012.pdf [Accessed: 28 May 2024].
Blume, J.A., Newmark, N.M. & Corning, L.H. 1961. Design of multistory reinforced concrete buildings for earthquake motions. Portland Cement Association.
Bouafia, Y. 1991. Résistance à l’effort tranchant des poutres en béton à precontrainte exterieure : étude experimentale et calcul à la rupture. PhD Thesis. Châtenay-Malabry, Ecole centrale de Paris [online]. Available at: http://www.theses.fr/1991ECAP0198 [Accessed: 28 May 2024].
Bouafia, Y., Iddir, A., Kachi, M.S. & Dumontet, H. 2014. Stress-Strain relationship for the confined concrete. In: 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain, July 20 - 25 [online]. Available at: https://congress.cimne.com/iacm-eccomas2014/admin/files/fileabstract/a1410.pdf [Accessed: 28 May 2024].
Bratina, S., Saje, M. & Planinc, I. 2004. On materially and geometrically non-linear analysis of reinforced concrete planar frames. International Journal of Solids and Structures, 41(24-25), pp.7181-7207. Available at: https://doi.org/10.1016/j.ijsolstr.2004.06.004.
Buyukozturk, O. 1977. Nonlinear analysis of reinforced concrete structures. Computers & Structures, 7(1), pp.149-156. Available at: https://doi.org/10.1016/0045-7949(77)90069-4.
Canbolat, B.A., Parra-Montesinos, G.J. & Wight, J.K. 2005. Experimental Study on Seismic Behavior of High-Performance Fiber-Reinforced Cement Composite Coupling Beams. ACI Structural Journal, 102(1), pp.159-166. Available at: https://doi.org/10.14359/13541.
Chen, G., Teng, J.G. & Chen, J.-F. 2013. Shear Strength Model for FRP-Strengthened RC Beams with Adverse FRP-Steel Interaction. Journal of Composites for Construction, 17(1), pp.50-66. Available at: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000313.
Chung, H.-S., Yang, K.-H., Lee, Y.-H. & Eun, H.-C. 2002. Stress–strain curve of laterally confined concrete. Engineering structures, 24(9), pp.1153-1163. Available at: https://doi.org/10.1016/S0141-0296(02)00049-4.
Eltoft, T. & Lande, T. 2015. Nonlinear Analyses of RC Frames under Vertical and Horizontal Loading. Master’s Thesis. Trondheim, Torgarden, Norway: Norwegian University of Science and Technology - NTNU [online]. Available at: https://hdl.handle.net/11250/2351358 [Accessed: 28 May 2024].
Elwood, K.J. & Moehle, J.P. 2003. Shake Table Tests and Analytical Studies on the Gravity Load Collapse of Reinforced Concrete Frames. Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley [online]. Available at: https://peer.berkeley.edu/sites/default/files/0301_k._elwood_j._moehle.pdf [Accessed: 28 May 2024].
Espion, B. 1986. Contribution à l’analyse non linéaire des ossatures planes. Application aux structures en béton armé. PhD Thesis. Bruxelles: Université libre de Bruxelles, Faculté des sciences [online]. Available at: https://difusion.ulb.ac.be/vufind/Record/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/213542/Details [Accessed: 28 May 2024].
-Eyrolles. 2000. Regles Bael 91 Modifiees 99. 3eme Edition: Règles techniques de conception et de calcul des ouvrages et constructions en béton armé suivant la méthode des états-limites. Eyrolles. ISBN: 978-2212100235.
Grelat, A. 1978. Calcul non linéaire des ossatures en béton armé. PhD Thesis. Paris 6: Pierre and Marie Curie University - UPMC.
Hoshikuma, J., Kawashima, K., Nagaya, K. & Taylor, A.W. 1997. Stress-Strain Model for Confined Reinforced Concrete in Bridge Piers. Journal of Structural Engineering, 123(5), pp.624-633. Available at: https://doi.org/10.1061/(ASCE)0733-9445(1997)123:5(624).
Houde, M.-J. 2007. Modélisation de poutres en béton armé endommagées par chargements cycliques: comportement en flexion et en cisaillement. PhD Thesis. Québec, Canada: Université Laval, Faculty of Civil Science and Engineering, Department of Engineering [online]. Available at: https://library-archives.canada.ca/eng/services/services-libraries/theses/Pages/item.aspx?idNumber=1276807867 [Accessed: 28 May 2024].
Iddir, A. 2016. Modélisation des éléments de structure de section circulaire en béton armé confiné (Analyse de la fissuration). PhD Thesis. Tizi-Ouzou, Algeria: University Mouloud Mammeri, Faculty of Engineering and Construction, Department of Civil Engineering [online]. Available at: https://dspace.ummto.dz/server/api/core/bitstreams/0b664013-a868-4a03-9a0b-d50ad7b5b523/content [Accessed: 28 May 2024].
Kachi, M.S. 2006. Modélisation du comportement jusqu’à rupture des poutres à précontrainte extérieure. PhD Thesis. Tizi-Ouzou, Algeria: University Mouloud Mammeri, Faculty of Engineering and Construction, Department of Civil Engineering.
Kachi, M.S., Fouré, B., Bouafia, Y. & Muller, P. 2006. L’effort tranchant dans la modélisation du comportement jusqu’à rupture des poutres en béton armé et précontraint. Revue Européenne de Génie Civil, 10(10), pp.1235-1264. Available at: https://doi.org/10.1080/17747120.2006.9692914.
Kent, D.C. & Park, R. 1971. Flexural Members with Confined Concrete. Journal of the Structural Division, 97(7), pp.1969-1990. Available at: https://doi.org/10.1061/JSDEAG.0002957.
Kwon, M. & Spacone, E. 2002. Three-dimensional finite element analyses of reinforced concrete columns. Computers & Structures, 80(2), pp.199-212. Available at: https://doi.org/10.1016/S0045-7949(01)00155-9.
Lee, J.-Y., Lee, D.H., Lee, J.-E. & Choi, S.-H. 2015. Shear Behavior and Diagonal Crack Width for Reinforced Concrete Beams with High-Strength Shear Reinforcement. ACI Structural Journal, 112(3), pp.323-334. Available at: https://doi.org/10.14359/51687422.
Li, H., Li, X., Fu, J., Zhu, N., Chen, D., Wang, Y. & Ding, S. 2023. Experimental study on compressive behavior and failure characteristics of imitation steel fiber concrete under uniaxial load. Construction and Building Materials, 399, art.number:132599. Available at: https://doi.org/10.1016/j.conbuildmat.2023.132599.
Lu, Y., Liu, Z., Li, S. & Zhao, X. 2019. Effect of the Outer Diameter on the Behavior of Square RC Columns Strengthened with Self-Compacting Concrete Filled Circular Steel Tube. International Journal of Steel Structures, 19, pp.1042-1054.
Mander, J.B., Priestley, M.J.N. & Park, R. 1988. Theoretical Stress‐Strain Model for Confined Concrete. Journal of Structural Engineering, 114(8), pp.1804-1826. Available at: https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Mattock, A.H. 1965. Rotational Capacity of Hinging Regions in Reinforced Concrete Beams, Flexural Mechanics of Reinforced Concrete. In: Proceedings of the ASCE-ACI Internatl. Symposium, Miami, Fl, USA, 12, pp.143-181, November 10-12 [online]. Available at: https://www.concrete.org/publications/internationalconcreteabstractsportal.aspx?m=details&id=16716 [Accessed: 28 May 2024].
Nait-Rabah, O. 1990. Simulation numérique du comportement non-linéaire des ossatures spatiales. PhD Thesis. Châtenay-Malabry, Ecole centrale de Paris [online]. Available at: https://theses.fr/1990ECAP0151 [Accessed: 28 May 2024].
Ngo, D. & Scordelis, A.C. 1967. Finite Element Analysis of Reinforced Concrete Beams. ACI Journal Proceedings, 64(3), pp.152-163. Available at: https://doi.org/10.14359/7551.
Park, R., Priestley, M.J.N. & Gill, W.D. 1982. Ductility of Square-Confined Concrete Columns. Journal of the Structural Division, 108(4), pp.929-950. Available at: https://doi.org/10.1061/JSDEAG.0005933.
Paultre, P. & Legeron, F. 2008. Confinement Reinforcement Design for Reinforced Concrete Columns. Journal of Structural Engineering, 134(5). Available at: https://doi.org/10.1061/(ASCE)0733-9445(2008)134:5(738).
Popovics, S. 1973. A numerical approach to the complete stress-strain curve of concrete. Cement and concrete research, 3(5), pp.583-599. Available at: https://doi.org/10.1016/0008-8846(73)90096-3.
Robert, F. 1999. Contribution à l’analyse non linéaire géométrique et matérielle des ossatures spatiales en Génie Civil : application aux ouvrages d’art. PhD thesis. Lyon, France: INSA - National Institute of Applied Sciences [online]. Available at: https://theses.fr/1999ISAL0032 [Accessed: 28 May 2024].
Roy, H.E.H. & Sozen, M.A. 1965. Ductility of Concrete. ACI Symposium Publication, 12, pp.213-235 [online]. Available at: https://www.concrete.org/publications/internationalconcreteabstractsportal/m/details/id/16718 [Accessed: 28 May 2024].
Rozman, M. & Fajfar, P. 2009. Seismic response of a RC frame building designed according to old and modern practices. Bulletin of Earthquake Engineering, 7(3), pp.779-799. Available at: https://doi.org/10.1007/s10518-009-9119-4.
Saatcioglu, M. & Razvi, S.R. 1992. Strength and Ductility of Confined Concrete. Journal of Structural engineering, 118(6), pp.1590-1607. Available at: https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1590).
Sargin, M. 1971. Stress-strain Relationships for Concrete and the Analysis of Structural Concrete Sections. Waterloo, Ont: University of Waterloo, Solid Mechanics Division.
Scott, B.D., Park, R. & Priestley, M.J.N. 1982. Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates. ACI Journal Proceedings, 79(1), pp.13-27. Available at: https://doi.org/10.14359/10875.
Sheikh, S.A. & Uzumeri, S.M. 1982. Analytical Model for Concrete Confinement in Tied Columns. Journal of the Structural Division, 108(12), pp.2703-2722. Available at: https://doi.org/10.1061/JSDEAG.0006100.
Soliman, M.T.M. & Yu, C.W. 1967. The flexural stress-strain relationship of concrete confined by rectangular transverse reinforcement. Magazine of Concrete Research, 19(61), pp.223-238. Available at: https://doi.org/10.1680/macr.1967.19.61.223.
Spacone, E., Ciampi, V. & Filippou, F.C. 1992. Beam Element for Seismic Damage Analysis. Berkeley: University of California, College of Engineering, Earthquake Engineering Research Center, Report No. UCB/EERC-92/07 [online]. Available at: https://nehrpsearch.nist.gov/article/PB95-192126/XAB [Accessed: 28 May 2024].
Spacone, E., Filippou, F.C. & Taucer, F.F. 1996. Fibre beam–column model for non-linear analysis of R/C frames: Part I. Formulation. Earthquake Engineering & Structural Dynamics, 25(7), pp.711-725. Available at: https://doi.org/10.1002/(SICI)1096-9845(199607)25:7<711::AID-EQE576>3.0.CO;2-9.
Tang, H., Liu, R., Zhao, X., Guo, R. & Jia, Y. 2021. Axial compression behavior of CFRP-confined rectangular concrete-filled stainless steel tube stub column. Frontiers of Structural and Civil Engineering, 15, pp.1144-1159. Available at: https://doi.org/10.1007/s11709-021-0762-4.
Vecchio, F.J. & Collins, M.P. 1986. The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear. ACI Journal Proceedings, 83(2), pp.219-231. Available at: https://doi.org/10.14359/10416.
Vecchio, F.J. & Shim, W. 2004. Experimental and Analytical Reexamination of Classic Concrete Beam Tests. Journal of Structural Engineering, 130(3), pp.460-469. Available at: https://doi.org/10.1061/(ASCE)0733-9445(2004)130:3(460).
Yalcin, C. & Saatcioglu, M. 2000. Inelastic analysis of reinforced concrete columns. Computers & Structures, 77(5), pp.539-555. Available at: https://doi.org/10.1016/S0045-7949(99)00228-X.
Zienkiewicz, O.C. & Taylor, R.L. 2005. The Finite Element Method for Solid and Structural Mechanics, 6th Edition. Butterworth-Heinemann. ISBN: 9780750663212.
Sva prava zadržana (c) 2024 Adnane Ourabah, Youcef Bouafia, Abdelkader Iddir, Mohand Said Kachi
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