Ultimate Bearing Capacity of Reinforced Concrete Slab Carrying Concentrated Load
Publication: Journal of Engineering Mechanics
Volume 137, Issue 12
Abstract
Yield-line theory is accepted as a method for the design of reinforced concrete structures in many codes. Many guidelines have been provided to find the most possible failure mechanism and the lowest upper solution. Slabs equally reinforced in two normal directions, which fail in a fan mechanism under concentrated load, have been studied and ultimate bearing capacity for this kind of slab has been presented. Up to date, the ultimate bearing capacity of unequally reinforced slabs under concentrated load, so-called orthotropic slabs, has not been solved. This paper made an effort to solve this problem. Expression for ultimate bearing capacity of orthotropic reinforced concrete slab under concentrated load is derived in a polar system according to the principle of virtual works. On the basis of the variation principle, the equation of negative yield line is established, which gives the lowest upper solution. The equation of negative yield line for orthotropic reinforced concrete slab under concentrated load is found to be a symmetric and closed curve with determinate shape but indeterminate radius. The ultimate bearing capacity is dominated by bending or punching shear of slab, depending on the depth and the reinforcement ratio of the slab.
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References
American Concrete Institute (ACI) (2008). Building code requirements for structural concrete and commentary, ACI 318-08, ACI, Detroit.
Chu, K. H., and Singh, R. B. (1966). “Yield analysis of balcony floor slabs.” J. Am. Concr. Inst., 63(5), 571–586.
Demsky, E. C., and Hatcher, D. S. (1969). “Yield line analysis of slabs supported on three sides.” J. Am. Concr. Inst., 66(9), 741–744.
European Committee for Standardization (CEN). (2004). “Design of concrete structures, Part 1-1.” Eurocode 2, Brussels.
Gesund, H. (1981). “Limit design of slabs for concentrated loads.” J. Struct. Div., 107(9), 1839–1856.
Hognestad, E. (1953). “Yield line theory for the ultimate flexural strength of reinforced concrete slabs.” J. Am. Concr. Inst., 24(7), 637–656.
Ingerslev, A. (1923). “The strength of rectangular slabs.” Struct. Eng., 1(1), 3–14.
Islam, S., and Park, R. (1971). “Yield line analysis of two-way reinforced concrete slabs with openings.” Struct. Eng., 49(6), 269–276.
Johansen, K. W. (1943). Yield line theory, Cement and Concrete Association, London.
Johansen, K. W. (1949). Yield line formulas for slabs, Cement and Concrete Association, London.
Jones, L. L. (1962). Ultimate load analysis of reinforced and prestressed concrete structures, Chatto and Windus, London.
Jones, L. L., and Wood, R. H. (1967). Yield line analysis of slabs, Elsevier, New York.
Kemp, K. O. (1962). “A lower bound solution to the collapse of an orthotropically reinforced slab on simple supports.” Mag. Concr. Res., 14(41), 79–84.
Kemp, K. O. (1965). “The yield criterion for orthotropically reinforced concrete slabs.” Int. J. Mech. Sci., 7(11), 737–746.
Kennedy, G., and Goodchild, C. (2003). Practical yield line design, Reinforced Concrete Council, Berkshire, U.K.
Nielsen, M. P. (1964). “Limit analysis of reinforcement concrete slabs.” Acta Polytech. Scand., Civ. Eng. Build. Constr. Ser., 26, 167.
Nison, A. H., Darwin, D., and Dolan, C. (2003). Design of concrete structures, McGraw-Hill, New York.
Park, R., and Gamble, W. L. (1980). Reinforced concrete slabs, Wiley, New York.
Simmonds, S. H., and Ghali, A. (1976). “Yield line design of slabs.” J. Struct. Div., 102(1), 109–123.
Wood, R. H. (1961). Plastic and elastic design of slabs and plates, Thames and Hudson, London.
Zaslavsky, A. (1967). “Yield line analysis of rectangular slabs with central openings.” J. Am. Concr. Inst., 64(12), 838–844.
Zaslavsky, A., and Avraham, C. H. (1970). “Yield line design of rectangular reinforced concrete balconies.” J. Am. Concr. Inst., 67(1), 53–56.
Zhao, C. X. (1957). Structural computation considering the plastic properties of materials, China Architecture and Building, Beijing (in Chinese; translated from Russian).
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 137 • Issue 12 • December 2011
Pages: 877 - 886
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Sep 16, 2010
Accepted: Jun 13, 2011
Published online: Jun 15, 2011
Published in print: Dec 1, 2011
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