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Direct design of partially prestressed concrete solid beams

  • Alnuaimi, A.S. (Department of Civil and Architectural Engineering, College of Engineering, Sultan Qaboos University)
  • 투고 : 2006.02.05
  • 심사 : 2007.06.19
  • 발행 : 2007.12.20

초록

Tests were conducted on two partially pre-stressed concrete solid beams subjected to combined loading of bending, shear and torsion. The beams were designed using the Direct Design Method which is based on the Lower Bound Theorem of the Theory of Plasticity. Both beams were of $300{\times}300mm$ cross-section and 3.8 m length. The two main variables studied were the ratio of the maximum shear stress due to the twisting moment, to the shear stress arising from the shear force, which was varied between 0.69 and 3.04, and the ratio of the maximum twisting moment to the maximum bending moment which was varied between 0.26 and 1.19. The required reinforcement from the Direct Design Method was compared with requirements from the ACI and the BSI codes. It was found that, in the case of bending dominance, the required longitudinal reinforcements from all methods were close to each other while the BSI required much larger transverse reinforcement. In the case of torsion dominance, the BSI method required much larger longitudinal and transverse reinforcement than the both the ACI and the DDM methods. The difference in the transverse reinforcement is more pronounce. Experimental investigation showed good agreement between design and experimental failure loads of the beams designed using the Direct Design Method. Both beams failed within an acceptable range of the design loads and underwent ductile behaviour up to failure. The results indicate that the Direct Design Method can be successfully used to design partially prestressed concrete solid beams which cater for the combined effect of bending, shear and torsion loads.

키워드

참고문헌

  1. Abdel-Hafez Laila M. (1986), Direct Design of Reinforced Concrete Skew Slab, PhD thesis, University of Glasgow
  2. ACI Committee 318M (2002), Building Code Requirements for Structural Concrete (ACI 318M-02), Metric version, American Concrete Institute, Farmington Hills, MI, 48333-9094, USA
  3. Aguilar, G., Matamoros, A.B., Parra-Montesinos, G.J., Ramraz, J.A. and Wight, J.K. (2002), 'Experimental evaluation of design procedures for shear strength of deep reinforced concrete beams', ACI Struct. J., 99(4), 539-548
  4. Alnuaimi, A.S. and Bhatt, P. (2004a), 'Direct design of hollow reinforced concrete beams-Part I: Design procedure', Struct. Can. J., 5(4), 139-146 https://doi.org/10.1680/stco.2004.5.4.139
  5. Alnuaimi, A.S. and Bhatt, P. (2004b), 'Direct design of hollow reinforced concrete beams-Part II: Experimental investigation', Struct. Can. J., 5(4), 147-160 https://doi.org/10.1680/stco.2004.5.4.147
  6. Alnuaimi, A.S. and Bhatt, P. (2006a), 'Direct design of partially prestressed concrete hollow beams', Adv. Struct. Eng, 9(4), 459-476 https://doi.org/10.1260/136943306778812741
  7. Alnuaimi, A.S. and Bhatt, P. (2006b) 'Design of reinforced concrete solid beams', Struct. Buil. J., Thomas Telford Limited, 159(4), 197-216
  8. Alnuaimi, A.S., Al-Jabri, K.S. and Hago, A.W. (2007a), 'Direct design of T-beams for combined load of bending and torsion', J. Eng. Res., 4(1), 23-35 https://doi.org/10.24200/tjer.vol4iss1pp23-36
  9. Alnuaimi, A.S., Al-Jabri, K.S. and Hago, A.W. (2007b), 'Comparison between solid and hollow reinforced concrete beams', Mater. Struct. J., (in press)
  10. American Association for State Highway and Transportation Officials (1998), AASHTO LRFD Bridge Design specifications and Commentary, SI Units, Second Edition, Washington, D.C., pp.1091
  11. Bhatt, P. and Bensalem, A. (1996a), 'Behaviour of reinforced concrete flat slab over column support using nonlinear stress field design', Struct. Eng. Rev., 8(2-3), 201-212
  12. Bhatt, P. and Bensalem, A. (1996b), 'Use of non-elastic stress in the design of reinforced concrete deep beams', Struct. Eng Rev., 8(2-3), 213-225
  13. Bhatt, P. and Ebireri, J.O. (1989), 'Direct design of beams for combined bending and torsion', Stavebnicky Casopis, Building Journal (Bratislava), 37(4), 249-263, in English, ISSN: 0039-078X, Coden: STVCA2
  14. Bhatt, P. and Mousa, J. (1996), 'Tests on concrete box beams under non-monotonic loading', Struct. Eng. Rev., 8(2-3), 227-235
  15. BS8110 (1997), Structural Use of Concrete, Part 1: Code of Practice for Design and Construction, British Standard Institution, 389Chiswick High Road, London, W44AL
  16. Clark, L.A. (1976), 'The provision of tension and compression reinforcement to resist in-plane forces', Mag. Con. Res., 28(94), 3-12 https://doi.org/10.1680/macr.1976.28.94.3
  17. Cohn, M.Z. and Lounis, Z. (1993), 'Optimum limit design of continuous prestressed concrete beams', J. Struct. Eng, 119(12), 3551-3569 https://doi.org/10.1061/(ASCE)0733-9445(1993)119:12(3551)
  18. CSA Standard, Design of Concrete Structures (A23.3-94) (1994), Canadian Standards Association, Rexdale, Ontario, Canada, 199
  19. Elarabi, H. (1999), 'Application of the direct design method on reinforced concrete beams subjected to combined torsion, bending and shear', Build. Road Res. J., University of Khartom, 2, 47-56
  20. El-Hussein, E.A (1994), 'Finite element and direct design method in combined torsion, bending and shear of reinforced Concrete', Computational Structural Engineering for Practice, Civil-Comp Ltd., Edinburgh, Scotland, 165-171
  21. Hago, A. and Bhatt, P. (1986), 'Tests on reinforced concrete slabs designed by direct design procedure', ACI J., No. 83-79, 916-924
  22. Hsu, T.T. (1997), 'ACI shear and torsion provisions for prestressed hollow girders', ACI Struct. J., 94(6), 787-799
  23. Hsu, T.T.C. (1968) 'Torsion of structural concrete-behaviour of reinforced concrete rectangular members', SP-18, American Concrete Institute, Detroit, Michigan, 261-306
  24. Karayannis, C.G. and Chalioris, C.E. (2000), 'Strength of prestressed concrete beams in torsion', Struct. Eng. Mech., 10(2), 165-180 https://doi.org/10.12989/sem.2000.10.2.165
  25. Kemp, K.O. (1971), 'Optimum reinforcement in a concrete slab subjected to multiple loadings', Publ. Int. Assoc. Bridge Struct. Eng, 31, 93-105
  26. MacGregor, J.G. and Ghoneim, M.G. (1995), 'Design for torsion', ACI Struct. J., No. 92-S20, 211-218
  27. Memon, M. (1984), Strength and stiffuess of shear wall-floor slab connections, PhD thesis, University of Glasgow
  28. Mitchell, D. and Collins, M.P. (1991), Pre-stressed Concrete Structures, Prentice Hall Inc., Englewood Cliffs, N.J
  29. Morley, C.T. and Gulvanessian, H. (1977), 'Optimum reinforcement of concrete slab elements', Proc. Ins. Civil Eng., Part 2, 63, June, 441-454
  30. Nielsen, M.P. (1974), 'Optimum design of reinforced concrete shells and slabs', Structural Research Laboratory, Technical University of Denmark, Report NR.R44, pp.190-200
  31. Nielsen, T.B. (1985), 'Optimization of reinforcement in shells, folded plates, walls and slabs', ACI J., 82(26), 304-309
  32. PCI Design Handbook (2004), 'Pre-cast and prestressed concrete', Sixth edition, Pre-cast/Prestressed Concrete Institute, Chicago, IL
  33. Poulsen, P.N. and Damkilde, L. (2000), 'Limit state analysis of reinforced concrete plates subjected to in-plane forces', Int. J. Solids Struct., 37(42), 6011-6029 https://doi.org/10.1016/S0020-7683(99)00254-1
  34. Rahal, K. and Collins, M.P. (1996), 'Simple model for predicting torsional strength of reinforced and prestressed concrete sections', ACI Struct. J., 93(6), 658-666
  35. Rahal, K.N. (2001), 'Analysis and design for torsion in reinforced and prestressed concrete beams', Struct. Eng. Mech., 11(6), 575-590 https://doi.org/10.12989/sem.2001.11.6.575
  36. Rahal, K.N. and Collins, M.P. (2003a), 'Combined torsion and bending in reinforced and prestressed concrete beams', ACI Struct. J., 100(2), 157-165
  37. Rahal, K.N. and Collins, M.P. (2003b), 'Experimental evaluation of ACI and ASHTO-LRFD design provisions for combined shear and torsion', ACI Struct. J., 100(3), 277-282
  38. Rahal, K.N. and Collins, M.P. (1995) 'Analysis of sections subjected to combined shear and torsion - A theoretical model', ACI Struct. J., 92(4), 459-469
  39. Recupero, A., D'Aveni, A. and Ghesi, A. (2005), 'Bending moment-shear force interaction domanins for prestressed concrete beams', J. Struct. Eng., ASCE, 131(9), 1413-1421 https://doi.org/10.1061/(ASCE)0733-9445(2005)131:9(1413)
  40. Seraj, S.M., Kotsovos, M.D. and Pavlovic, M.N. (1993), 'Compressive-force path and behaviour of prestressed concrete beams', Mate. Struct., 26(156), 74-89 https://doi.org/10.1007/BF02472854
  41. Thurlimann, B. (1979), 'Torsional strength of reinforced and prestressed concrete beams-CEB approach'. Institut fur Baustatik und konstruktion, ETH. Zurich., No.92, 117-143
  42. Wafa, F.F., Shihata, S.A., Ashour, S.A. and Akhtaruzzaman, A.A. (1995), 'Prestressed high-strength concrete beams under torsion', J. Struct. Eng., ASCE, 121(9), 1280-1286 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:9(1280)
  43. Zia, P. and Hsu, T.T.C. (2004), 'Design for torsion and shear in prestressed concrete flexural members', PCI J., 49(3), 34-42

피인용 문헌

  1. Nonlinear analysis of service stresses in reinforced concrete sections-closed form solutions vol.10, pp.5, 2007, https://doi.org/10.12989/cac.2012.10.5.541