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http://dx.doi.org/10.4334/JKCI.2006.18.4.469

Numerical Modelling on the Strength of Reinforced Concrete Simple-Continuous Deep Beams with Openings by an Upper-Bound Theorem  

Yang, Keun-Hyeok (Dept. of Architectural Engineering, Mokpo University)
Eun, Hee-Chang (Dept. of Architectural Engineering, Kangwon University)
Chung, Heon-Soo (Dept. of Architectural Engineerign, Chung-Ang University)
Publication Information
Journal of the Korea Concrete Institute / v.18, no.4, 2006 , pp. 469-477 More about this Journal
Abstract
Models to predict the ultimate strength of simply supported or continuous deep beams with web openings are proposed. The derived equations are based on upper-bound theorem. The concrete is assumed as a perfectly plastic material obeying the modified Coulomb failure criteria with zero tension cutoff. Reinforcing bar is considered as elastic-perfectly plastic material and its stress is calculated from the limiting principal compressive strain of concrete. The governing failure mechanisms based on test results are idealized as rigid moving blocks separated by a hyperbolic yield line. The effective compressive strength of concrete is calculated from the formula proposed by Vecchio and Collins. Comparisons with existing test results are performed, and they show good agreement.
Keywords
deep beams; failure mechanism; openings; upper-bound theorem; effective strength;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 김광두, 김자영, 양근혁, 은희창, 정헌수, '개구부가 설치된 철근콘크리트 깊은 보의 전단거동에 대한 개구부 보강근 배근방법의 영향', 대한건축학회논문집, Vol.20, No.3, 2004. 3, pp.15-22
2 Marti, P., 'Basic Tools of Reinforced Concrete Beam Design', ACI Journal, Vol.82 No.1, 1985, pp.46-56
3 Kaufmann, W. and Marti, P., 'Structural concrete: Cracked membrane model', Journal of Structural Engineering, Vol. 124, No.12, 1998, pp.1467-1475   DOI
4 MacGregor, J. G., Reinforced Concrete: Mechanics and Design, Prentice-Hall International, Inc. 1997, pp.753-819
5 Ashour, A. F., Rishi, G., 'Tests of Reinforced Concrete Continuous Deep Beams with Web Openings', ACI Structural Journal, Vol.97, No.3, 2000, pp.418-426
6 Nielsen, M. P., Limit Anal., and Concrete Plasticity, Prentice-Hall, Inc., 1984, 420pp
7 Nielsen, M. P. and Braestrup, M. W., 'Plastic Shear Strength of Reinforced Concrete Beams', Bygningsstat. Medd., Vol.46 No.3, 1975, pp.61-99
8 은회창, 양근혁, 정헌수, '장방형 개구부를 갖는 고강도 철근콘크리트 깊은 보의 전단거동', 대한건축학회논문집, Vol.19, Np.8, 2003.8, pp.35-42
9 Jensen, J. F., 'Discussion of 'An Upper-Bound Rigid-Plastic Solution for the Shear Failure of Concrete Beams without Shear Reinforcement', Magazine of Concrete Research, Vol.34 No.119, 1982, pp.100-103
10 ACI Committee 318, Building Code Requirements for Structural Concrete and Commentary (318M-05), American Concrete Institute, 2005. pp.353-366
11 CIRIA, CIRlA Guide 2: The Design of Deep Beams in Reinforced Concrete, Ove Arup and Partners, Construction Industry Research and Information Association, London, 1977, 131pp
12 CEB-FIP Model Code 1999, Structural Concrete, 1999, pp.141-184
13 Regan, P. E., 'Research on Shear: A Benefit to Humanity or A Waste of Time?' The Structural Engineering, Vol.71 No.19, 1993, pp.337-346
14 Ashour, A. F., and Morley, C. T., 'The Numerical Determination of Shear Failure Mechanisms in Reinforced-Concrete Beams', The Structural Engineer, Vol. 72, No.23, 1984. pp.395-400
15 Ashour, A. F., and Morley, C. T., 'Effectiveness Factor of Concrete in Continuous Deep Beams', Journal of Structural Engineering, ASCE, Vol.122 No.2, 1996, pp.169- 178
16 Zhang, J. P. 'Diagonal Cracking and Shear Strength of Reinforced Concrete Beams', Magazine of Concrete Research, Vol.49 No.178, 1997, pp.55-65   DOI   ScienceOn
17 Kong, F. K., and Sharp, G.R., 'Structural Idealization for Deep Beams with Web Openings', Magazine of Concrete Research, Vol.29 No.99, 1977, pp.81-91   DOI   ScienceOn
18 Kong, F. K., and Sharp, G.R., (1978) 'Structural Idealization for Deep Beams with Web Openings; Further Evidence', Magazine of Concrete Research, Vol.30 No.103, 1978, pp.89-95   DOI   ScienceOn
19 정헌수, 고강도 철근콘크리트구조, 태림문화사, 1994, 12pp
20 Vecchio, F. J., and Collins, M. P., 'Compression Response of Cracked Reinforced Concrete', Journal of Structural Engineering ASCE, Vol.119 No.12, 1993, pp.3590-3610   DOI   ScienceOn
21 양근혁, 은회창, 정헌수, '고강도 철근콘크리트 깊은 보의 전단거동에 대한 개구부 크기 및 위치의 영향', 콘크리트학회논문집, Vol.15, No.5, 2003.10, pp.697-704   DOI