Design Field Bending Moment Coefficients for Interior Reinforced Concrete Flat Plates
Publication: Practice Periodical on Structural Design and Construction
Volume 16, Issue 1
Abstract
This paper proposes new coefficients for design bending moments for interior reinforced concrete flat plates. These design coefficients are safe for strength and serviceability and are calculated using Hillerborg’s advanced strip method design approach and finite-element method. The Hillerborg-Wood-Armer rules were used to convert field moments to design moments. The paper also introduced graphs. These can be used to determine the length of the top reinforcement in an interior flat plate. The findings are the only available solution for designing flat plates with aspect ratios higher than 2.0.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The work presented in this paper was supported by a grant from the Natural Science and Engineering Research Council of Canada. Results presented in this paper are part of a thesis prepared by the first writer in partial fulfillment of the requirements for a Ph.D. degree in the Department of Civil Engineering, University of Calgary, Calgary, Alberta, Canada.UNSPECIFIED
References
Abdul Samad, A. A. (1994). “The response of reinforced concrete slabs subjected to biaxial bending and twisting moments.” Ph.D. thesis, Univ. of Manchester, England.
Alexander, S. (1999). “Strip method for flexural design of two-way slab.” The design of two-way slabs, ACI SP 183-6, 93–117.
American Concrete Institute. (2002a). “Building code requirement for structural concrete and commentary.” ACI 318-02, Farmington Hill, Mich.
American Concrete Institute. (2002b). “Building code requirement for structural concrete and commentary.” ACI 318R, Farmington Hill, Mich.
Armer, G. S. T. (1968). “The strip method: A new approach to the design of slabs.” Concrete, 2(9), 358–363.
Ballesteros, P., and Lee, S. L. (1960). “Uniformly loaded rectangular plate supported at the corners.” Int. J. Mech. Sci., 2, 206–211.
British Standards Institute. (1997). “Structural use of concrete, part 1: Code of practice for design and construction.” BS8110, London.
Canadian Portland Cement Association. (1994). “Design of concrete structures.” A23.3-94, Rexdale, Ont., Canada.
Fernando, J. S., and Kemp, K. O. (1978). “A generalized strip deflextion method of reinforced concrete slab design.” Proc. Inst. Civ. Eng., Part 2. Res. Theory, 65(1), 163–174.
Hassan, J. M. (2005). “The improved corner-supported element for interior reinforced concrete flat plate design.” Ph.D. thesis, Univ. of Calgary, Calgary, Alta., Canada.
Hibbitt, Karlson, and Sorenson. (2002). ABAQUS/standard user’s manual, version 6.3, Vol. I–III, HKS Corporation, Pawtucket, R.I.
Hillerborg, A. (1953). “Reinforcement of slabs and shells designed according to the theory of elasticity.” Betong, 38(2), N. N. Gibson, translator, N. N., Building Research Station, Watford, 1962, Library Communication No. 1081.
Hillerborg, A. (1956). “Equilibrium theory for concrete slabs.” Betong, 41(4), 171–182.
Hillerborg, A. (1959). Strimlemetoden for platlor pa pelare, vinkeplattor m m, Utgiven av Svenka Riksbyggen, Stockholm (Strip method for slab on columns, L-shaped plates, etc.), F A. Blakey, translator, Common-wealth Scientific and Industrial Research Organization, Melbourne, Victoria, Australia.
Hillerborg, A. (1982). “The advanced strip method—A simple design tool.” Mag. Concrete Res., 34(121), 175–181.
Jones, L. L. (1988). “Hillerborg’s advanced strip method—A review and extension.” Frame and slab structures, Butterworths, London.
Kemp, K. O. (1971). “A strip method of slab design with concentrated loads or supports.” Struct. Eng., 49, 543–550.
Kupfer, H. B., and Gerstle, K. H. (1973). “Behaviour of concrete under biaxial stresses.” J. Engrg. Mech. Div., 99.
MacGregor, J. G., and Barttelet, F. M. (2000). Reinforced concrete: Mechanics and design, 1st Ed., Prentice-Hall, Scarborough, Ont., Canada.
Marcus, H. (1961). Die theorie geweve und ihre anwendung auf die berechnung biegsamer platen, Springer, Berlin.
Marti, P. (1989). “Closure for discussions.” 115(2).
Morley, C. T. (1986). “Equilibrium design solutions for torsionless grillage or Hillerborg slabs under concentrated loads.” Proc. Inst. Civ. Eng., Part 2. Res. Theory, 81(3), 447–460.
Park, R., and Gamble, W. (2000). Reinforced concrete slab, Wiley, New York.
Timoshenko, S., and Woinowsky-Kriger, S. (1959). Theory of plates and shells, 2nd Ed., McGraw-Hill, New York.
Welch, R. W. (1999). “Compressive membrane capacity estimates in laterally edge restrained reinforced concrete one-way slabs.” Ph.D. thesis, Univ. of Illinois at Urbana–Champaign, Urbana, Ill.
Wood, R. H. (1968). “The reinforced of slabs in accordance with a predetermined field of moments.” Concrete, 2(2), 69–76.
Wood, R. H., and Armer, G. S. T. (1968). “The theory of the strip method for design of slabs.” Proc., Institution of Civil Engineers, Vol. 41, 285–313.
Zienkiewics, O. C., and Taylor, R. L. (2000). “Solid mechanics.” The finite element method, 5th Ed., Vol. 2, Butterworth-Heinemann, Stoneham, Mass.
Information & Authors
Information
Published In
Practice Periodical on Structural Design and Construction
Volume 16 • Issue 1 • February 2011
Pages: 34 - 45
Copyright
© 2011 ASCE.
History
Received: Jun 24, 2009
Accepted: Jan 12, 2010
Published online: Jan 14, 2011
Published in print: Feb 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.