Computers and Concrete

  • 제15권2호
  • /
  • Pages.259-277
  • /
  • 2015
  • /
  • 1598-8198(pISSN)
  • /
  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Reliability analysis of reinforced concrete haunched beams shear capacity based on stochastic nonlinear FE analysis

  • Albegmprli, Hasan M. (Department of Civil Engineering, Gaziantep University) ;
  • Cevik, Abdulkadir (Department of Civil Engineering, Gaziantep University) ;
  • Gulsan, M. Eren (Department of Civil Engineering, Gaziantep University) ;
  • Kurtoglu, Ahmet Emin (Department of Civil Engineering, Zirve University Kizilhisar Campus)
  • 투고 : 2014.05.23
  • 심사 : 2014.11.30
  • 발행 : 2015.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

The lack of experimental studies on the mechanical behavior of reinforced concrete (RC) haunched beams leads to difficulties in statistical and reliability analyses. This study performs stochastic and reliability analyses of the ultimate shear capacity of RC haunched beams based on nonlinear finite element analysis. The main aim of this study is to investigate the influence of uncertainty in material properties and geometry parameters on the mechanical performance and shear capacity of RC haunched beams. Firstly, 65 experimentally tested RC haunched beams and prismatic beams are analyzed via deterministic nonlinear finite element method by a special program (ATENA) to verify the efficiency of utilized numerical models, the shear capacity and the crack pattern. The accuracy of nonlinear finite element analyses is verified by comparing the results of nonlinear finite element and experiments and both results are found to be in a good agreement. Afterwards, stochastic analyses are performed for each beam where the RC material properties and geometry parameters are assigned to take probabilistic values using an advanced simulating procedure. As a result of stochastic analysis, statistical parameters are determined. The statistical parameters are obtained for resistance bias factor and the coefficient of variation which were found to be equal to 1.053 and 0.137 respectively. Finally, reliability analyses are accomplished using the limit state functions of ACI-318 and ASCE-7 depending on the calculated statistical parameters. The results show that the RC haunched beams have higher sensitivity and riskiness than the RC prismatic beams.

키워드

참고문헌

  1. ACI Committee 318 (1999), Building code requirements for structural concrete (ACI 318-99) and commentary (318R-99), Farmington Hills, USA.
  2. ACI Committee 318 (2011), Building code requirements for structural concrete (ACI 318-11) and commentary (318R-11), Farmington Hills, USA.
  3. ASCE 7 (1998), Minimum design loads for buildings and other structures, Washington, D.C., USA.
  4. Ang A.H.-S. and Cornell C.A. (1974), "Reliability bases of structure safety and design", J. Struct. Div., 100(9), 1755-1769.
  5. Cervanka, V. (1985), "Constitutive model for cracked reinforced concrete", ACI J. Proceedings, 82(6), 877-882.
  6. Cervenka, V., Jendele, L. and Cervenka, J. (2012), "ATENA Program Documentation Part 1, Theory", Prague. http://www.cervenka.cz.
  7. Choi, B.S., Scanlon, A. and Johnson, P.A. (2004), "Monte carlo simulation of immediate and time-dependent deflections of reinforced concrete beams and Slabs", ACI Struct. J., 101(5), 633-641.
  8. Debaiky, S.Y. and El-Niema, E.I. (1982), "Behavior and strength of reinforced concrete haunched beams in shear", ACI Struct. J., 79(3), 184-194.
  9. Eamon, C.D. and Hemsen, E. (2012), "Reliability analysis of prestressed concrete beams exposed to fire", Eng. Struct., 43(October), 69-77. https://doi.org/10.1016/j.engstruct.2012.05.016
  10. Eamon, C.D. and Hemsen, E. (2013), "Reliability analysis of reinforced concrete columns exposed to fire", Fire safety journal, 62(Part C), pp 221-229. https://doi.org/10.1016/j.firesaf.2013.10.002
  11. Ellingwood, B.R. and Ang, A.H.S. (1974), "Risk-based evaluation of design criteria", J. Struct. Div., 100(9), 1771-1788.
  12. Ellingwood, B., Galambos, T.V., MacGregor, J.G. and Cornell, A.C. (1980), Development of a Probability Based Load Criterion for American National Standard A58, NBS Special Report 577, National Bureau of Standards, Washington, D.C., USA.
  13. EN 1990 (2002), Eurocode - Basis of structural design, CEN.
  14. Hasofer, A.M. and Lind, N.C. (1974), "Exact and invariant second-moment code format", J. Eng. Mech., 100(1), 111-121.
  15. Huntington, D.E. and Lyrintzis, C.S. (1998), "Improvements to and limitations of Latin hypercube sampling", Probab. Eng. Mech., 13 (4), 245-253. https://doi.org/10.1016/S0266-8920(97)00013-1
  16. Kim, J.J., Taha, M.M.R., Noh, H. and Ross, T.J. (2013), "Reliability analysis to resolve difficulty in choosing from alternative deflection models of RC beams", Mech. Syst. Signal Pro., 37(1), 240-252. https://doi.org/10.1016/j.ymssp.2012.06.024
  17. Matos, J.C., Batista, J., Cruz, P. and Valente, I. (2010), "Uncertainty evaluation of reinforced concrete structures behavior", The fifth International Association for Bridge Maintenance and Safety (IABMAS), USA.
  18. Nghiep, V.H. (2010), "Shear design of straight and haunched concrete beams without stirrups", PhD Dissertation, TechnischenUniversitat Hamburg-Harburg, Germany.
  19. Nilson, A., Darwin, D. and Dolan, C. (2011), Design of Concrete Structures, (14th Edition), Mc Grew Hill, New York, USA.
  20. Nowak, A. and Collins, K.R. (2000), Reliability of Structures, McGraw-Hill, USA.
  21. Nowak, A.S. and Szerszen M.M. (2003), "Calibration of design code for buildings (ACI 318): Part 1 statistical models for resistance", ACI Struct.J., 100(3), 377-382.
  22. Novek, D., Vorechovsky, M. and Teply, B. (2014), "FReET: Software for the statistical and reliability analysis of engineering problems and great-D: Degradation module", Adv. Eng. Softw., 72, 179-192. https://doi.org/10.1016/j.advengsoft.2013.06.011
  23. Stefanou, G.D. (1983), "Shear resistance of reinforced concrete beams with non-prismatic section" Eng. Fract. Mech.,18(3), 643-666. https://doi.org/10.1016/0013-7944(83)90057-7
  24. Strauss, A., Mordini, A. and Bergmeister, K. (2006), "Nonlinear finite element analysis of reinforced concrete corbels at both deterministic and probabilistic levels", Comput. Concr., 3(2), 123-144. https://doi.org/10.12989/cac.2006.3.2_3.123
  25. Szerszen, M.M. and Novak, A.S (2003), "Calibration of design code of buildings (ACI318): Part 2- Reliability analysis and resistance factors", ACI Struct. J., 100(3), 383-391.
  26. Tena-Colunga, A., Hans, I.A. and Oscar, M.G. (2008), "Behavior of reinforced concrete haunched beams subjected to static shear loading", Eng. Struct., 30(2), 478-492. https://doi.org/10.1016/j.engstruct.2007.04.017
  27. Vorechovsky, M. and Novak, D. (2009), "Correlation control in small-sample Monte Carlo type simulations I: A simulated annealing approach", Probab. Eng. Mech., 24(3), 452-462. https://doi.org/10.1016/j.probengmech.2009.01.004

피인용 문헌

  1. Cyclic behavior of continuous reinforced concrete haunched beams with transverse reinforcement designed to fail in shear vol.151, 2017, https://doi.org/10.1016/j.conbuildmat.2017.05.123
  2. Nonlinear finite element modeling of reinforced concrete haunched beams designed to develop a shear failure vol.105, 2015, https://doi.org/10.1016/j.engstruct.2015.09.023
  3. Reliability-based modeling of punching shear capacity of FRP-reinforced two-way slabs vol.17, pp.1, 2016, https://doi.org/10.12989/cac.2016.17.1.087
  4. Weibull distribution based constitutive model for nonlinear analysis of RC beams vol.61, pp.4, 2017, https://doi.org/10.12989/sem.2017.61.4.463
  5. Modeling for fixed-end moments of I-sections with straight haunches under concentrated load vol.23, pp.5, 2015, https://doi.org/10.12989/scs.2017.23.5.597
  6. Finite element and design code assessment of reinforced concrete haunched beams vol.66, pp.4, 2018, https://doi.org/10.12989/sem.2018.66.4.423
  7. Experimental investigation on shear capacity of partially prefabricated steel reinforced concrete columns vol.28, pp.1, 2018, https://doi.org/10.12989/scs.2018.28.1.073
  8. Nonlinear finite element analysis for reinforced concrete haunched beams with opening vol.454, pp.None, 2018, https://doi.org/10.1088/1757-899x/454/1/012152
  9. Experimental study of the load-deformation behaviour of the precast post-tensioned continuous girder for straddle monorail: Full-scale load test under service and ultimate loading conditions vol.15, pp.None, 2021, https://doi.org/10.1016/j.cscm.2021.e00666