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Analytical and Numerical Modeling of Prestressed Continuous Steel-Concrete Composite Beams

J. Struct. Eng. 137, 1405 (2011); http://dx.doi.org/10.1061/(ASCE)ST.1943-541X.0000409 (14 pages)

Jianguo Nie1, Muxuan Tao, S.M.ASCE2, C. S. Cai, F.ASCE3, and Shaojing Li4

1Professor, Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, Department of Civil Engineering, Tsinghua University, Beijing, China 100084 (corresponding author). E-mail: niejg@mail.tsinghua.edu.cn
2Ph.D. Candidate, Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, Department of Civil Engineering, Tsinghua University, Beijing, China 100084.
3Professor, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA 70803, and Adjunct Professor, School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, China.
4Former Graduate Student, Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, Department of Civil Engineering, Tsinghua University, Beijing, China 100084.

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(Submitted 15 May 2009; accepted 24 March 2011; posted ahead of print 26 March 2011)

A loading capacity analysis is conducted for prestressed continuous steel-concrete composite beams. On the basis of the basic theoretical framework of the solution of externally unbonded prestressed structures, formulas for calculating the three characteristic loads (crack, yield, and ultimate loads) of two-span prestressed continuous composite beams under symmetric concentrated loads are proposed and extended to general cases. The variation of tendon force is considered and the adopted limit equilibrium approach only requires the development of equilibrium equations, which avoids the solution of cumbersome simultaneous deformation compatibility equations. Furthermore, an elaborate finite element model is presented for simulating the nonlinear behavior of prestressed continuous composite beams by using the commercial finite element package. The numerical model considering both the material and geometric nonlinearities can fully reflect the complex behaviors of prestressed continuous composite beams during the whole loading process. The comparisons among the analytical, numerical, and experimental results demonstrate that the analytical method provides a convenient and reliable tool for a routine design practice and the finite element model provides an excellent numerical simulation for the nonlinear behavior of prestressed continuous composite beams.

© 2011 American Society of Civil Engineers

Acknowledgments

The writers gratefully acknowledge the financial support provided by the National Science Fund of China (50438020 and 50828803), Changjiang Scholars, and Innovative Research Team in University (IRT00736).

Article Outline

  1. Introduction
  2. Analytical Study on Loading Capacity
    1. Basic Theoretical Framework
    2. Crack Load Analysis
      1. Calculation Model
      2. Calculation Formula
    3. Yield Load Analysis
      1. Calculation Model
      2. Calculation Formula
    4. Ultimate Load Analysis
      1. Basic Assumptions
      2. Load Moment and Secondary Moment Analysis
      3. Total Moment Analysis
      4. Moment-Curvature Relationship Analysis
      5. Deformation Compatibility Analysis
      6. Prediction of Ultimate Load
    5. Summary of Design Methodology for General Cases
      1. Crack Load
      2. Yield Load
      3. Ultimate Load
  3. Numerical Study
    1. Element Selection
    2. Material Modeling
  4. Verification and Discussion
    1. Loading Capacity
    2. Curvature Distribution and Formation of Plastic Hinges
    3. Load-Deflection Curve
    4. Prediction of Tendon Force
    5. Slip Effect
    6. Redistribution of Internal Forces
    7. Stress Distribution
  5. Conclusions

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0733-9445 (print)  
1943-541X (online)

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