Computers and Concrete

  • 제10권2호
  • /
  • Pages.121-133
  • /
  • 2012
  • /
  • 1598-8198(pISSN)
  • /
  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Software for application of Newton-Raphson method in estimation of strains in prestressed concrete girders

  • 투고 : 2011.02.18
  • 심사 : 2011.12.08
  • 발행 : 2012.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

Structures suffer from damages in their lifetime due to time-dependant effects, such as fatigue, creep and shrinkage, which can be expressed by concrete strains. These processes could be seen in the context of strain estimation of pre-stressed structures in two phases by using numerical methods. Their aim is checking and validating existing code procedures in determination of deformations of pre-tensioned girders by solving a system of nonlinear equations with strains as unknown parameters. This paper presents an approach based on the Newton-Raphson method for obtaining the stresses and strains in middle span section of pre-stressed girders according the equilibrium state.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Education and Science

참고문헌

  1. Ahn, J.H., Jung, C.Y. and Kim, S.H. (2010), "Evaluation on structural behaviors of prestressed composite beams using external prestressing member", Struct. Eng. Mech., 34(2), 247-275. https://doi.org/10.12989/sem.2010.34.2.247
  2. Ayoub, A. and Filippou, C.F. (2010), "Finite-element model for pretensioned prestressed concrete girders", J. Struct. Eng.-ASCE, 136(4), 401-409. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000132
  3. CEB/FIP (1993), CEB-FIP Model code 1990: Design code, Thomas Telford.
  4. DIN 1045-1 (2008), Tragwerke aus Beton, Stahlbeton und Spannbeton, Teil 1: Bemessung und Konstruktion, Deutsches Institut fur Normung, Beuth-Verlag, Berlin.
  5. EN 1992-1-1 (2004), Eurocode 2: Design of concrete structures, Part 1-1: General rules and rules for buildings, Brussels.
  6. Eurviriyanukul, S. and Askes, H. (2010), "The equilibration of configurational forces in the tendon layout optimisation of pre-stressed concrete beams", Compos. Struct., 88(23-24), 1412-1418. https://doi.org/10.1016/j.compstruc.2008.08.007
  7. Faires, D. and Burden, D. (2002), Numerical methods, third ed., Brooks Cole, England.
  8. Fereig, S.M. (1994), "An application of linear programming to bridge design with standard prestressed girders", Compos. Struct., 50(4), 455-469. https://doi.org/10.1016/0045-7949(94)90016-7
  9. Gilbert, R.I. and Mickleborough, N.C. (2004), Design of prestressed concrete, Spon Press.
  10. Grosan, C. and Abraham, A. (2008), "A new approach for solving nonlinear equations systems", IEEE T. Syst. Man. Cy. A, 38(3), 698-714. https://doi.org/10.1109/TSMCA.2008.918599
  11. Marmo, F., Serpieri, R. and Rosati, L. (2011), "Ultimate strength analysis of prestressed reinforced concrete sections under axial force and biaxial bending", Compos. Struct., 89(1-2), 91-108. https://doi.org/10.1016/j.compstruc.2010.08.005
  12. Marshall, V. and Robberts, J.M. (2000), Prestressed concrete design and practice, Concrete Society of Southern Africa, Prestressed Concrete Division, Midrand, South Africa.
  13. Moesly, B., Bungey, J. and Hulse, R. (2007), Reinforced concrete design to Eurocode 2, sixth ed., Palgrave MacMillan, England.
  14. Nilson, A.H., Darwin, D. and Dolan, C.W. (2004), Design of concrete structures, thirteenth ed., The McGraw-Hill Companies.
  15. Paik, I., Hwang, E.S. and Shin, S. (2009), "Reliability analysis of concrete bridges designed with material and member resistance factors", Comput. Concrete, 6(1), 59-78. https://doi.org/10.12989/cac.2009.6.1.059
  16. Polyak, B.T. (2006), "Newton-Kantorovich method and its global convergence", J. Math. Sci., 133(4), 1513-1523. https://doi.org/10.1007/s10958-006-0066-1
  17. Stoer, J. and Bulirsch, R. (2002), Introduction to numerical analysis, third ed., Series: Texts in Applied Mathematics, Vol. 12, Springer, Berlin.
  18. Thomsing, M. (2002), Spannbeton, Grundlagen, Berechnungsverfahren, Beispiele, third edition, Teubner Verlag, Stuttgart.
  19. Yang, X.S., Lees, J.M. and Morley, C.T. (2008), "Modelling crack propagation in structures: Comparison of numerical methods", Commun. Numer. Meth. En., 24(11), 1373-1392.
  20. Zupan, D. and Saje, M. (2005), "Analytical integration of stress field and tangent material moduli over concrete cross-sections", Compos. Struct., 83(28-30), 2368-2380. https://doi.org/10.1016/j.compstruc.2005.03.030

피인용 문헌

  1. Design procedure for prestressed concrete beams vol.13, pp.2, 2014, https://doi.org/10.12989/cac.2014.13.2.235
  2. Creep and shrinkage effects in service stresses of concrete cable-stayed bridges vol.13, pp.4, 2012, https://doi.org/10.12989/cac.2014.13.4.483
  3. Camber calculation of prestressed concrete I-Girder considering geometric nonlinearity vol.19, pp.1, 2017, https://doi.org/10.12989/cac.2017.19.1.001