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Analysis of the Linear Transformation of Prestressing Tendon Using Equivalent toad Method

등가하중법 관점에서 분석한 프리스트레싱 텐던의 직선이동

  • Published : 2002.12.01

Abstract

Linear transformation theory has been effectively used in the design and analysis of prestressed concrete structures. The underlying assumptions of the theory, which were often overlooked, are investigated in the respect of equivalent load method. As a result, it is found that the same equivalent loading system is produced for all the cases of the linear transformation by the assumptions of the conventional equivalent load method. On the other hand, equivalent loading systems in a strict and accurate sense do not satisfy the classical theories of the linear transformation. Also, it is shown that a little different equivalent loading system from the conventional one is obtained for each linear transformation according to the proposed equivalent load method that is derived from the self-equilibrium property of the tendon-induced forces. Therefore, it can be concluded that the linear transformation theory is valid only when referring to the conventional approximate equivalent load method. The discussions are further extended to the eccentrically located circumferential tendon in the wall of containment structures, where the problem of eccentricity is analyzed also from the view point of the linear transformation.

프리스트레스트 콘크리트 부재의 해석이론에서 텐던의 직선이동(linear transformation)은 텐던 배치에 대한 해석을 간략화시켜주는 장점이 있어 빈번히 다루어지고 있다. 본 논문은 그동안 간과되기 쉬웠던 직선이동에 내재된 근사화 및 그 영향을 밝히는데 중점을 두고 있으며, 주로 등가하중법(equivalent load method)을 통하여 직선이동의 이론을 분석하였다. 텐던이 이동하더라도 똑같은 등가하중 시스템이 산출되는 것을 직선이동으로 볼 경우, 기존의 등가하중법 고유의 내재된 가정은 그러한 직선이동의 원리가 성립하도록 하고 있으며, 반면 근사화가 포함되지 않은 엄밀한 의미의 등가하중 시스템에서는 그러한 원리가 성립하고 있지 않다 또한, 자체평형의 성질로부터 유도된 등가하중법을 직선이동에 적용하는 방안을 모색하였으며, 기존의 결과와 약간 다른 등가하중 시스템을 산출하였다. 논의를 확장하여 격납구조물 벽체 원환텐던(circumferential tendon)의 편심배치 문제를 직선이동의 관점에서 분석하였다.

Keywords

References

  1. Nawy, E. G., "Prestressed Concrete: A Fundamental Approach," Prentice Hall, 1989.
  2. 신현묵, "프리스트레스트 콘크리트" 제4판, 동명사, 1999.
  3. Brondum-Nielsen, T., "Linear Transformation of Center of Gravity of Steel Line in Statically Indeterminate Prestressed Concrete Structures," ACI Structural Journal, Vol. 89, No. 2, March-April 1992, pp.139-140.
  4. Guyon, Y., "Prestressed Concrete," John Wiley& Sons, 1963.
  5. Oh, B. H. and Jeon, S. L., "Realistic Equivalent Load Methods in Prestressed Concrete Structures," KCI Concrete Journal, Vol. 13, No.1, Jan. 2001, pp.11-17.
  6. Oh, B. H. and Jeon, S. J., "Limitations and Realistic Application of Equivalent Load Methods in Prestressed Concrete Structures," Magazine of Concrete Research, Vol. 54, No.3, June 2002, pp.223-231. https://doi.org/10.1680/macr.2002.54.3.223
  7. Kreyszig, E., "Advanced Engineeng Mathematics," 7th edition, John Wiley & Sons, 1993.
  8. Sprenger, W., and Wagner, W., "On the Formulation of Geomethcally Nonlinear 3D-Rebar-Elements Using the Enhanced Assumed Strain Method," Engineering Structures, Vol. 21, 1999, pp.209-218. https://doi.org/10.1016/S0141-0296(97)00182-X
  9. Ghali, A., "CircuIar Storage Tanks and Silos," 2nd edition, E & FN Spon, 2000.
  10. (주)대우건설, 대림산업주식회사, "통영 생산기지 저장탱크 및 본설비공사 기술제의서(Technical Part)," 한국가스공사, 1999.
  11. "SAP2000 - Analysis Reference," Computers and Structures, Inc., 1995.

Cited by

  1. Effect of the Prestressing Tendon Arrangement in the Wall of Circular Storage Tank vol.14, pp.5, 2002, https://doi.org/10.4334/JKCI.2002.14.5.759