Computers and Concrete

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Stochastic finite element based reliability analysis of steel fiber reinforced concrete (SFRC) corbels

  • Received : 2014.07.11
  • Accepted : 2014.11.25
  • Published : 2015.02.25
⟨ Previous Next ⟩

Abstract

In this study, reliability analyses of steel fiber reinforced concrete (SFRC) corbels based on stochastic finite element were performed for the first time in literature. Prior to stochastic finite element analysis, an experimental database of 84 sfrc corbels was gathered from literature. These sfrc corbels were modeled by a special finite element program. Results of experimental studies and finite element analysis were compared and found to be very close to each other. Furthermore experimental crack patterns of corbel were compared with finite element crack patterns and were observed to be quite similar. After verification of the finite element models, stochastic finite element analyses were implemented by a specialized finite element module. As a result of stochastic finite element analysis, appropriate probability distribution functions (PDF's) were proposed. Finally, coefficient of variation, bias and strength reduction (resistance) factors were proposed for sfrc corbels as a consequence of stochastic based reliability analysis.

Keywords

Acknowledgement

Grant : Modeling of Inelastic Behavior of Structures by Soft Computing Techniques

Supported by : Gaziantep University

References

  1. ACI Committee 544 (1999), Static flexural analysis of beams containing bars and fibers, Design considerations for steel fiber reinforced concrete, Detroit.
  2. ACI Committee 318 (1999), Building code requirements for structural concrete (ACI 318-99) and commentary (318R-99), Farmington Hills, Michigan.
  3. Bayramoglu, G. (2012), "Reliability analysis of tested steel I-beams with web openings", Struct. Eng. Mech., 41(5), 575-589. https://doi.org/10.12989/sem.2012.41.5.575
  4. Bergmeister, K., NovaK, D., Pukl, R. and Cervenka, V. (2009), "Structural assessment and reliability analysis for existing engineering structures, theoretical background", Struct. Infrastruct. E., 5(4), 267-275. https://doi.org/10.1080/15732470601185612
  5. Campione, G., Mendola, L.L. and Mangiavillano, M.L. (2007), "Steel fiber-reinforced concrete corbels: experimental behavior and shear strength prediction", ACI Struct. J., 104(59), 570-579.
  6. Campione, G. (2009), "Flexural response of FRC corbels", Cement Concrete Compos., 31(3), 204-210. https://doi.org/10.1016/j.cemconcomp.2009.01.006
  7. Campione, G. (2009), "Performance of steel fibrous reinforced concrete corbels subjected to vertical and horizontal loads", J. Struct. Eng., 135(5), 519-529 https://doi.org/10.1061/(ASCE)0733-9445(2009)135:5(519)
  8. Cervenka, V., Jendele, L. and Cervenka J., (2013), ATENA Program Documentation - Theory, Cervenka Consulting.
  9. Cervenka, V. and Papanikolaou, V.K. (2008), "Three dimensional combined fracture-plastic material model for concrete", Inter. J. Plast., 24(2008), 2192-2220. https://doi.org/10.1016/j.ijplas.2008.01.004
  10. Ellingwood, B., Galambos, T.V., MacGregor, J.G. and Cornell, C.A. (1980), Development of a probability based load criterion for American National Standard A58. NBS Special Report 577, U.S. Department of Commerce, National Bureau of Standards, p. 222.
  11. Ersoy, U., Ozcebe, G. and Tankut, T. (2006), Reinforced Concrete, Middle East Technical University Press, Ankara, Turkey.
  12. Fattuhi, N.I. (1987), "Sfrc corbel tests", ACI Struct. J., 84(2), 119-123.
  13. Fattuhi, N.I. (1990), "Column-load effect on reinforced concrete corbels", J. Struct. Eng., 116(1), 188-197. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:1(188)
  14. Fattuhi, N.I. (1990), "Strength of SFRC corbels subjected to vertical load", J. Struct. Eng., 116(3), 701-718. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:3(701)
  15. Fattuhi, N.I. (1994), "Strength of FRC corbels in flexure", J. Struct. Eng., 120(2), 360-377. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:2(360)
  16. Fattuhi, N.I. (1994), "Reinforced corbels with plain and fibrous concretes", ACI Struct. J., 91(5), 530-536.
  17. GuhaRay, A. and Baidya, G.K. (2014), "Partial safety factors for retaining walls and slopes: A reliability based approach", Geomech. Eng., 6(2), 99-115. https://doi.org/10.12989/gae.2014.6.2.099
  18. Hughes, B.P. and Fattuhi, N.I. (1989), "Reinforced steel and polypropylene fiber concrete corbel tests", Struct. Eng. London, 67(4), 68-72.
  19. Hughes, B.P. and Fattuhi, N.I. (1989), "Reinforced steel fiber concrete corbel with various shear span-to-depth ratios", ACI Mater. J., 86(6), 590-596.
  20. Hughes, B.P. and Fattuhi, N.I. (1989), "Ductility of reinforced concrete corbels containing either steel fibers or stirrups", ACI Struct. J., 86(6), 644-651.
  21. Yang, J.M., Lee, J.H., Yoon, Y.S., Cook, W.D. and Mitchell, D. (2012), "Influence of steel fibers and headed bars on the serviceability of high-strength concrete corbels", J. Struct. Eng., 138(1), 123-129. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000427
  22. Mordini, A. (2006), "Three-dimensional numerical modeling of reinforced concrete behavior", PhD Thesis, University of Parma, Parma.
  23. Muhammad, A.H. (1998), "Behavior and strength of high-strength fiber reinforced concrete subjected to monotonic and cyclic (repeated) loading", PhD Thesis, University of Technology, Baghdad.
  24. Novak. D., Teply, B., Kersner, Z. and Vorechovsky, M. (2002), SARA Program Documentation - Theory, Cervenka Consulting.
  25. Novak, 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
  26. Nowak, S. and Collins, R. (2000), Reliability of Structures, McGraw-Hill Press, USA.
  27. Silva, R.C. and Cremona, C. (2014), "Safety factor calibration for bridge concrete girders", Struct. Eng. Mech., 49(2), 163-182. https://doi.org/10.12989/sem.2014.49.2.163
  28. 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(2/3), 123-144. https://doi.org/10.12989/cac.2006.3.2_3.123
  29. Structural Engineering Institute (1998), Minimum design loads for buildings and other structures, Washington.
  30. Szerszen, M.M. and Nowak, A.S. (2003), "Calibration of design code for buildings (ACI 318): part 2 - reliability analysis and resistance factors", ACI Struct. J., 100(3), 383-391.
  31. Thomos, G.C. and Trezos, C.G. (2011), "Reliability based calibration of the capacity design rule of reinforced concrete beam-column joints", Comput. Concr., 8(6), 631-645. https://doi.org/10.12989/cac.2011.8.6.631
  32. Thomos, G.C. and Trezos, C.G. (2012), "Reliability of column capacity design in shear", Comput. Concr., 10(5), 507-521. https://doi.org/10.12989/cac.2012.10.5.507
  33. Turkish Standart Institute (2000), Design and construction rules for reinforced concrete structures, Ankara.

Cited by

  1. 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
  2. Nonlinear FE analysis of slab-beam-column connection in precast concrete structures vol.143, 2017, https://doi.org/10.1016/j.engstruct.2017.04.028
  3. Mechanical behavior of steel fiber‐reinforced self‐compacting concrete corbels after exposure to elevated temperatures vol.19, pp.6, 2015, https://doi.org/10.1002/suco.201700034
  4. Steel Fibre Reinforced Concrete Meso-Scale Numerical Analysis vol.2020, pp.None, 2015, https://doi.org/10.1155/2020/2084646