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Theoretical Stiffness of Cracked Reinforced Concrete Elements
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 Title & Authors
Theoretical Stiffness of Cracked Reinforced Concrete Elements
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 Abstract
The purpose of this paper is to develop a mathematical expression for computing crack angles based on reinforcement volumes in the longitudinal and transverse directions, member end-fixity and length-to-width aspect ratio. For this a reinforced concrete beam-column element is assumed to possess a series of potential crack planes represented by a number of differential truss elements. Depending on the boundary condition, a constant angle truss or a variable angle truss is employed to model the cracked structural concrete member. The truss models are then analyzed using the virtual work method of analysis to relate forces and deformations. Rigorous and simplified solution schemes are presented. An equation to estimate the theoretical crack angle is derived by considering the energy minimization on the virtual work done over both the shear and flexural components the energy minimization on the virtual work done over both the shear and flexural components of truss models. The crack angle in this study is defined as the steepest one among fan-shaped angles measured from the longitudinal axis of the member to the diagonal crack. The theoretical crack angle predictions are validated against experimentally observed crack angle reported by previous researchers in the literature. Good agreement between theory and experiment is obtained.
 Keywords
cracked concrete;crack angle;truss model;constant angle trusss;variable angle truss;and cracked elastic stiffness;
 Language
Korean
 Cited by
 References
1.
극한강도 설계법에 의한 철근콘크리트 구조계산규준 및 해설, 1994.

2.
1st ed.. American Association of State Highway and Transportation Officials, 1994.

3.
ACI 318-95. American Conerete Institute, 1995.

4.
Thomas Telford, 1991.

5.
Prestressed Concrete Structures, 1991.

6.
Unified Theory of Reinforced Concrete, 1993.

7.
ACI Structural Journal, 1994. vol.91. 4, pp.394-405

8.
ACI Structural Journal, 1994. vol.91. 5, pp.537-551

9.
Truss Modeling of Reinforced Concrete Shear-Flexure Behavior, MCEER-99-0005, Multidisciplinary Center for Earthquake Engineering Research, 1999.

10.
한국콘크리트학회 논문집, 1999. vol.11. 3,

11.
ACI Structural Journal, 1996. vol.93. 2, pp.197-207

12.
PCI Journal, 1987. vol.32. 3, pp.74-150

13.
Deutscher Ausschuss Fur Stahlbeton Heft, 1996. pp.179

14.
Reinforced Concrete Structurees, 1975.

15.
NCEER-96-0008, National Center for Earthquake Engineering Research, 1996.

16.
NCEER-96-0009, National Center for Earthquake Engineering Research, 1996.

17.
Proc. of Pacific Conference on Earthquake Engineering, 1995. pp.197-206

18.
Report No. 84-2, University of Canterbury, 1984.

19.
Proc. of First U.S.-Japan Workshop on Seismic Retrofit of Bridges, 1990. pp.321-340

20.
ACI Structural Journal. Title, 1989. 86-S6, pp.45-59

21.
Ph.D. Dissertation. Dept. of Civill Eng. Uinversity of Canterbury, 1990.