TECHNICAL PAPERS
Sep 1, 1996

Effective Stiffness Model for Reinforced Concrete Slabs

Publication: Journal of Structural Engineering
Volume 122, Issue 9

Abstract

A simple procedure for calculating deflections of reinforced concrete two-way slabs is presented in this paper. The material model for reinforced concrete based on the effective stiffness approach has been implemented in a finite-element program incorporating Mindlin-plate–bending elements. Uncracked concrete is treated as an isotropic linear elastic material, and after cracking, the concrete is considered to be an orthotropic material. The reduced stiffness coefficients after cracking are calculated from the effective moments of inertia in the x - and y -directions. These effective moments of inertia are determined using the formula proposed by Branson (1963). The influence of both bending and torsional moments is included in the formulation. The proposed model has been verified by comparisons with results from tests on slabs with various loading and boundary conditions. A study has also been undertaken to check the sensitivity of the proposed formulation when applied to the analysis of slabs with different reinforcement ratios, boundary conditions, and reinforcement orientations.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Aghayere, A. O., and MacGregor, J. G.(1990). “Tests on reinforced concrete plates under combined in-plane and transverse loads.”ACI Struct. J., 87(6), 615–622.
2.
ASCE. (1993). “Finite-element analysis of reinforced concrete structures II.”Proc., of the Int. Workshop, New York, N.Y., 203–232.
3.
Branson, D. E. (1963). “Instantaneous and time dependent deflections of simple and continuous reinforced concrete beams.”Alabama Hwy. Res. Rep. No. 7, Bureau of Public Roads, 1–78.
4.
“Building code requirements for reinforced concrete.” (1995). ACI 318-95, American Concrete Institute (ACI), Farmington Hills, Mich.
5.
Canadian Portland Cement Association. (1994). “Design of concrete structures for buildings.”CSA Standard CAN3-A23.3-M94, Toronto, Ontario, Canada.
6.
Ghoneim, M. G., and MacGregor, J. G.(1994). “Tests on reinforced concrete plates under combined in-plane and lateral loads.”ACI Struct. J., 91(1), 19–30.
7.
Hinton, E., and Owen, D. R. J. (1979). Finite element programming . Academic Press Inc., London, U.K.
8.
Jofriet, J. C., and McNeice, G. M.(1971). “Finite-element analysis of reinforced concrete slabs.”J. Struct. Div., ASCE, 97(3), 785–806.
9.
Polak, M. A., and Vecchio, F. J.(1993). “Nonlinear analysis of reinforced concrete shells.”J. Struct. Engrg., ASCE, 119(12), 3439–3462.
10.
Polak, M. A., and Vecchio, F. J.(1994). “Reinforced concrete shell elements subjected to bending and membrane loads.”ACI Struct. J., 91(3), 261–268.
11.
Scanlon, A., and Murray, D. W. (1982). “Practical calculations of two-way slab deflections.”Concrete Int., Magazine, 43–50.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 122Issue 9September 1996
Pages: 1025 - 1030

History

Published online: Sep 1, 1996
Published in print: Sep 1996

Permissions

Request permissions for this article.

Authors

Affiliations

Maria Anna Polak
Asst. Prof., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada N2L 3G1.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share