Structural Engineering and Mechanics

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Influence of prestressing on the behavior of uncracked concrete beams with a parabolic bonded tendon

  • Bonopera, Marco (Bridge Engineering Division, National Center for Research on Earthquake Engineering) ;
  • Chang, Kuo-Chun (Department of Civil Engineering, National Taiwan University) ;
  • Lin, Tzu-Kang (Department of Civil Engineering, National Chiao Tung University) ;
  • Tullini, Nerio (Department of Engineering, University of Ferrara)
  • Received : 2019.03.12
  • Accepted : 2020.08.28
  • Published : 2021.01.10
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Abstract

The influence of prestress force on the fundamental frequency and static deflection shape of uncracked Prestressed Concrete (PC) beams with a parabolic bonded tendon was examined in this paper. Due to the conflicts among existing theories, the analytical solutions for properly considering the dynamic and static behavior of these members is not straightforward. A series of experiments were conducted for a total period of approximately 2.5 months on a PC beam made with high strength concrete, subsequently and closely to the 28 days of age of concrete. Specifically, the simply supported PC member was short term subjected to free transverse vibration and three-point bending tests during its early-age. Subsequently, the experimental data were compared with a model that describes the dynamic behavior of PC girders as a combination of two substructures interconnected, i.e., a compressed Euler-Bernoulli beam and a tensioned parabolic cable. It was established that the fundamental frequency of uncracked PC beams with a parabolic bonded tendon is sensitive to the variation of the initial elastic modulus of concrete in the early-age curing. Furthermore, the small variation in experimental frequency with time makes doubtful its use in inverse problem identifications. Conversely, the relationship between prestress force and static deflection shape is well described by the magnification factor formula of the "compression-softening" theory by assuming the variation of the chord elastic modulus of concrete with time.

Keywords

Acknowledgement

Experiments were supported by funding from the National Applied Research Laboratories Project of Taiwan (NCREE-06107A1700). M.B. gratefully acknowledges the funding provided by the Ministry of Science and Technology of Taiwan (MOST 106-2811-E-492-001). N.T. acknowledges the financial support of the "Research Program FAR 2020" provided by the University of Ferrara. A special thank is extended to our technicians of NCREE, and to the students of National Chiao Tung University who furnished assistance to the authors.

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