Skip to main content
SpringerLink
Log in

Analysis of reinforced concrete rectangular slabs with three-sides supported under uniformly distributed load

  • Original Paper
  • Published:
Asian Journal of Civil Engineering Aims and scope Submit manuscript

Abstract

In this research paper, an analytical formulation is presented to predict the moment field of the laterally loaded three-sides supported RC rectangular slabs under the uniform area loading at top surface of the slab. It is also validated with the available published formulations. Design aids were formulated with the help of proposed analytical formulation and are presented here for quick calculations. These design aids were also validated with the help of finite element method based ATENA software.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • ACI: Standard 318-08. (2008). Building code requirements for reinforced concrete. Detroit: American Concrete Institute.

    Google Scholar 

  • Agrawal, U., et al. (2016). Estimation of bending moment coefficients of two way RC slabs: Finite element approach. Indian Journal of Science and Technology, 9(30), 1–6.

    Article  Google Scholar 

  • Al-Sabah, A. S., & Falter, H. (2013). Finite element lower bound “yield line” analysis of isotropic slabs using rotation-free elements. Engineering Structures Elsevier,53, 38–51.

    Article  Google Scholar 

  • Al-Sabah, A. S., & Falter, H. (2015). Rotation-free finite element ‘yield line’ analysis of non-isotropic slabs. Australian Journal of Structural Engineering, Taylor & Francis,16(4), 273–282.

    Article  Google Scholar 

  • Baskaran, K., & Morley, C. T. (2004). Using yield line theory for interior panels of slabs. Institute of Civil Engineers ICE,157(6), 395–404.

    Google Scholar 

  • BIS: IS 456 (4th Rev.). (2000). Plain and reinforced concrete-code of practice. Bureau of Indian Standards, India.

  • Famiyesin, O. O. R., Hossain, K. M. A., Chia, Y. H., & Slade, P. A. (2001). Numerical and analytical predictions of the limit load of rectangular two way slabs. Computers and Structures Elsevier,79(1), 43–52.

    Article  Google Scholar 

  • Gohnert, M. (2000). Collapse load analysis of yield-line elements. Engineering Structures Elsevier,22(8), 1048–1054.

    Article  Google Scholar 

  • Gurley, C. (2009). Plastic yield-line analysis of torsion-free two-way and flat slabs. Australian Journal of Structural Engineering Taylor and Francis,10(1), 1–10.

    Article  Google Scholar 

  • Ingerslev, A. (1923). The strength of rectangular slabs. The Institution of Structural Engineers, 1(1), 3–14.

    Google Scholar 

  • Johansen, K. W. (1931). Beregning af krydsarmerede jernbetonpladers brudmoment. In Bygningsstatiske Meddelelser (In Danish) (Vol. 3, No. 1, pp. 1–18).

  • Johansen, K. W. (1943). Brudlinieteorier (English translation: Yield-line theory (p. 1962). London: Cement and Concrete Association.

    Google Scholar 

  • Johansen, K. W. (1972). Yield-line formulae for slabs. London: Cement and Concrete Association.

    Book  Google Scholar 

  • Kennedy, G. C. (2003). Practical yield line design. London: British Cement Association.

    Google Scholar 

  • Kwan, A. K. H. (2004). Dip and strike angles method for yield line analysis of reinforced slabs. Magazine of Concrete Research ICE,56(8), 487–498.

    Article  Google Scholar 

  • Megson, T. H. G. (2005). Structural and stress analysis, chapter 19 (pp. 625–639). U.K.: Elsevier.

    Book  Google Scholar 

  • Park, R., & Gamble, W. L. (2000). Reinforced concrete slabs. New York: Wiley.

    Google Scholar 

  • Singh, H. (2014). Analytical investigation and design charts for rectangular reinforced concrete stiffened-plates. Engineering Mechanics,21(4), 239–256.

    Google Scholar 

  • Singh, N. K., & Kumar, M. (2011). Prediction of collapse load of three-side-supported RC rectangular slabs: A simplified approach. The Indian Concrete Journal,85(7), 21–29.

    Google Scholar 

Download references

Funding

The authors received no financial support for the research, authorship, and/or publication of this article.

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Guru Nanak Dev Engineering College, Ludhiana, Punjab, India

    Sushant Gupta & Harvinder Singh

  2. Jalandhar, India

    Sushant Gupta

  3. Civil Engineering from the Thapar University, Patiala, India

    Harvinder Singh

Authors
  1. Sushant Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Harvinder Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sushant Gupta.

Ethics declarations

Conflict of interest

The authors declare that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gupta, S., Singh, H. Analysis of reinforced concrete rectangular slabs with three-sides supported under uniformly distributed load. Asian J Civ Eng 21, 81–90 (2020). https://doi.org/10.1007/s42107-019-00182-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42107-019-00182-6

Keywords

Search

Navigation