Yield‐Line Analysis of Slabs‐on‐Grade
Publication: Journal of Structural Engineering
Volume 109, Issue 7
Abstract
A yield line method is developed to analyze reinforced concrete slabs‐on‐grade to determine collapse loads. The particular cases discussed are: (1) A one‐way slab with a line load at mid‐span; (2) a slab with a central load; (3) a slab with a load at a free edge; and (4) a slab with a load at a free corner. For each case, an expression for the collapse load is given in terms of material and geometric parameters. Plots of collapse load magnitude vs. a load distribution parameter are presented for the proposed analysis method and compared to analyses found in previous literature.
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References
1.
Building Requirements for Reinforced Concrete, ACI Committee 318, American Concrete Institute, Detroit, Mich., 1977.
2.
Gamble, W. L., Sozen, M. A., and Siess, C. P., “Tests of a Two‐Way Reinforced Concrete Floor Slab,” Journal of the Structural Division, ASCE, Vol. 95, No. ST6, Proc. Paper 6586, June, 1969, pp. 1073–1096.
3.
Hatcher, D. S., Sozen, M. A., and Siess, C. P., “Tests of a Reinforced Concrete Slab,” Journal of the Structural Division, ASCE, Vol. 95, No. ST6, Proc. Paper 6585, June, 1969, pp. 1051–1072.
4.
Johansen, K. W., Yield‐Line Theory, William Clowes and Sons, Ltd., London, England, 1962.
5.
Kripanarayanan, K. M., and Branson, D. E., “Short Time Deflections of Flat Plates, Flat Slabs, and Two‐Way Slabs,” American Concrete Institute Journal, Vol. 73, No. 12, Dec., 1976, pp. 686–690.
6.
Losberg, A., “Pavements and Slabs on Grade with Structurally Active Reinforcement,” American Concrete Institute Journal, Vol. 75, No. 11, Nov., 1978, pp. 647–657.
7.
Meyerhof, G. G., “Bearing Capacity of Floating Ice Sheets,” Journal of the Engineering Mechanics Division, ASCE, Vol. 86, No. EM5, Oct., 1960, pp. 113–145.
8.
Meyerhof, G. G., “Load‐Carrying Capacity of Concrete Pavements,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 88, No. SM3, June, 1962, pp. 89–116.
9.
Park, R., and Gamble, W. L., Reinforced Concrete Slabs, John Wiley and Sons, New York, N.Y., 1980.
10.
Roark, R. J., and Young, W. C., Formulas for Stress and Strain, 5th ed., McGraw‐Hill Book Co., New York, N.Y., 1975.
11.
Timoshenko, S., and Woinowsky‐Krieger, S., Theory of Plates and Shells, 2nd ed., McGraw‐Hill Book Co., New York, N.Y., 1959.
12.
Westergaard, H. M., “New Formulas for Stresses in Concrete Pavements of Airfields,” Transactions of the American Society of Civil Engineers, Vol. 113, 1948, pp. 425–444.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 109 • Issue 7 • July 1983
Pages: 1553 - 1568
Copyright
Copyright © 1983 ASCE.
History
Published online: Jul 1, 1983
Published in print: Jul 1983
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