Journal of Central South University

, Volume 18, Issue 2, pp 550–557 | Cite as

Membrane action in lateral restraint reinforced concrete slabs

  • Gang Wang (王刚)
  • Qing-xiang Wang (王清湘)Email author
  • Zhong-jun Li (李中军)


Based on the assumption of additional three-hinge arching action, an analytical method was proposed to predict the additional load of lateral restraint reinforced concrete (RC) slab under compressive membrane action (CMA), and its ultimate load could be obtained by adding pure bending load. The experiment of twelve one-way RC slabs supported by shear-walls was carried out, and the calculations of this proposed method provide good predictions for the experimental evidences. The influence of some design parameters on bearing capacity was also investigated. It is shown that the effect of vertical load on ending shear-wall on the ultimate load capacity can be generally neglected when the bending restraint is satisfied. The additional load capacity also decreases with the increase of the span-to-height ratio of central slab. When reducing the reinforcement area, the additional load capacity is increased, and this method can be used to save steel or enhance the ultimate load capacity of low steel ratio slab.

Key words

lateral restraint slab compressive membrane action ultimate load capacity span-to-height ratio 


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  1. [1]
    SZILARD R. Theory and analysis of plates-classical and numerical methods [M]. Prentice-Hall, INC, 1974: 552–594.Google Scholar
  2. [2]
    OUYANG Cheng-sheng. A plastic analysis of RC ring slabs under membrane action [J]. China Civil Engineering Journal, 1983, 16(8): 59–70. (in Chinese)Google Scholar
  3. [3]
    PARK R, GAMBLE W L. Reinforced concrete slabs [M]. New York: John Wiley & Sons, 1980: 562–581.Google Scholar
  4. [4]
    HUNG T Y, NAWY E G. Limit strength and serviceability factors in uniformly loaded isotropically reinforced two-way slabs [J]. Cracking, Deflection and Ultimate Load of Concrete Slab Systems, ACI, 1971, SP.30: 301–324.Google Scholar
  5. [5]
    GUICE L K, SLAWSON T R, RHOMBERG E J. Membrane analysis of flat plate slabs [J]. Aci Structural Journal, 1989, 86(1): 83–92.Google Scholar
  6. [6]
    EYRE J R, KEMP K O. A graphical solution for predicting the increase in strength of concrete slabs due to membrane action [J]. Magazine of Concrete Research, 1983, 35(3): 151–156.CrossRefGoogle Scholar
  7. [7]
    LAHLOUH E H, WALDRON P. Membrane action in one-way slab strips [J]. Proceedings of the Institution of Civil Engineers, Structures and Buildings. 1992, 94(4): 419–428.CrossRefGoogle Scholar
  8. [8]
    RANKIN G I B, LONG A E. Arching action strength enhancement in laterally-restrained slab strips [J]. Proceedings of the Institution of Civil Engineers, Structures and Buildings, 1997, 122(4): 461–467.CrossRefGoogle Scholar
  9. [9]
    TAYLOR S E, MULLIN B. Arching action in FRP reinforced concrete slabs [J]. Construction and Building Materials, 2006, 20(1/2): 71–81.CrossRefGoogle Scholar
  10. [10]
    COMITÉ EUROPÉEN DE NORMALISATION (CEN). Eurocode 2: Design of concrete structures-part 1: General rules and rules for buildings[S]. DD ENV 1992-01-01.Google Scholar
  11. [11]
    Highways Agency. Use of compressive membrane action in bridge decks BD81/02 [S]. 2002.Google Scholar
  12. [12]
    SHEN Ju-min, WANG Chuan-zhi, JIANG Jian-jing. Finite element method for reinforced structures and limit analysis of slabs and shells [M]. Beijing: Press of Tsinghua University, 1993: 396–410. (in Chinese)Google Scholar
  13. [13]
    WANG Fang, YANG Zhi, HUANG Sai-chao. The limit analysis of irregular reinforced concrete slabs [J]. Journal of Central South University: Science and Technology, 2001, 32(6): 573–576. (in Chinese)Google Scholar
  14. [14]
    MUTHU K U, AMARNATH K, IBRAHIM A. Load deflection behavior of partially restrained slab strips [J]. Engineering Structures, 2007, 29(5): 663–674.CrossRefGoogle Scholar
  15. [15]
    EYRE J R. Surround stiffness to membrane action in concrete slabs [J]. Magazine of Concrete Research, 2007, 59(2): 107–119.CrossRefGoogle Scholar

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Gang Wang (王刚)
    • 1
    • 2
  • Qing-xiang Wang (王清湘)
    • 1
    • 2
    Email author
  • Zhong-jun Li (李中军)
    • 3
  1. 1.Dalian Construction Quality Supervision StationDalianChina
  2. 2.State Key Laboratory of Coastal and Offshore EngineeringDalian University of TechnologyDalianChina
  3. 3.Design Institute of Civil Engineering and ArchitectureDalian University of TechnologyDalianChina

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