Analysis of Orthotropic RC Rectangular Slabs Supported on Two Adjacent Edges - A Simplistic Approach
Vol. 6 No. 10 (2020): October
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The design of reinforced concrete slabs supported on two adjacent edges involves complex formulations. In this paper, a simplistic approach is presented for designing orthotropic slabs supported on two adjacent edges. Slab supported on two adjacent edges (existing slab) is transformed into a slab supported on three edges (equivalent slab) by taking a mirror image of the yield line pattern of two adjacent edges supported RC slabs about its unsupported edges to get the exact collapse mechanism for the slabs supported on three edges. The equivalent aspect ratio can be used in the equations already developed for the slabs supported on three sides. Ultimate moment carrying capacity of the slab carrying uniform load can be evaluated by using the available analytical formulations of the slab supported on three edges. So, the present approach gives a simplified method to analyse and design the orthotropic RC rectangular slab supported on two adjacent edges using the equations available for slab supported on three adjacent edges. Hence, the simplistic approach will be very helpful for structural designers dealing with analysis and design of slabs supported on two adjacent edges.
Doi: 10.28991/cej-2020-03091598
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Gupta, S., & Naval, S. (2020). Analysis of Orthotropic RC Rectangular Slabs Supported on Two Adjacent Edges - A Simplistic Approach. Civil Engineering Journal, 6(10), 1992–2001. https://doi.org/10.28991/cej-2020-03091598
[1] BIS: IS 456 (4th Rev.). "Plain and reinforced concrete-code of practice.” Bureau of Indian Standards, India. (2000).
[2] ACI: Standard 318-08. "Building Code Requirements for Reinforced Concrete.” American Concrete Institute, Detroit (2008).
[3] CSA: Standard A23.3.-94 "Design of Concrete Structures.” Canadian Standards Association, Ontario. (1994).
[4] Gupta, Sushant, and Harvinder Singh. "Analysis of Reinforced Concrete Rectangular Slabs with Three-Sides Supported Under Uniformly Distributed Load.” Asian Journal of Civil Engineering 21, no. 1 (August 13, 2019): 81–90. doi:10.1007/s42107-019-00182-6.
[5] Demsky, Edward C., and David S. Hatcher. "Yield Line Analysis of Slabs supported on Three Sides.” American Concrete Institute 66, no. 9 (January 1969): 741-744.
[6] Singh, H. et al. "Prediction of collapse load of three-side supported RC rectangular slab; A simplified Approach.” Indian Concrete Journal 85, no. 7 (July 2011): 21-28.
[7] Ingerslev, A. "Om en elementaer beregningsmetode af krydsarmerede plader. [The strength of rectangular slabs].” [In Danish] (Also printed in English). The Institution of Structural Engineers 1 no. 1 (1921): 3-14.
[8] Johansen, K.W. "Beregning af krydsarmerede jernbetonpladers brudmoment, In Bygningsstatiske Meddelelser.” (In Danish), 3, no. 1 (1931): 1-18.
[9] Johansen, K.W. "Brudlinieteorier, English translation: Yield-Line Theory.” Cement and Concrete Association, London, (1943).
[10] Johansen, K.W. "Yield-Line Formulae for Slabs” Cement and Concrete Association, London (January 1, 1972). doi:10.1201/9781482272321.
[11] Kemp, K.O. "The Yield Criterion for Orthotropically Reinforced Concrete Slabs.” International Journal of Mechanical Sciences 7, no. 11 (November 1965): 737–746. doi:10.1016/0020-7403(65)90002-0.
[12] Jones, L.L. and Wood, R.H. "Yield line analysis of slabs.” James & Hudson, London. (January 1967).
[13] Shukla, S. N. "Handbook for Design of Slabs by Yield-line and Strip Methods.” Structural Engineering Research Centre, Roorkee, India. (1973).
[14] Nielsen, M.P., and L.C. Hoang. "Limit Analysis and Concrete Plasticity” CRC Press (April 19, 2016). doi:10.1201/b10432.
[15] Kennedy, G.C. "Practical yield line design.” British cement Association, U.K (2003).
[16] Megson, T.H.G. ‘Structural and Stress Analysis, Chapter 19” Elsevier (2005): 625-639. doi:10.1016/b978-0-7506-6221-5.x5000-0.
[17] Pillai, U. and Menon D. "Reinforced Concrete Design.” Tata McGraw Hill Education, New Delhi (2011).
[18] Quintas, Valent ı´ N. "Two main methods for yield line analysis of slabs." Journal of Engineering Mechanics 129, no. 2 (2003): 223-231. doi:10.1061/(ASCE)0733-9399(2003)129:2(223).
[19] Mohammed, Abbas Haraj, Khattab Saleem Abdul-Razzaq, Taha Khalid Mohammedali, Dia Eddin Nassani K., and Ali K. Hussein. "Finite Element Modeling of Post-Tensioned Two-Way Concrete Slabs under Flexural Loading.” Civil Engineering Journal 4, no. 1 (February 7, 2018): 1. doi:10.28991/cej-030964.
[20] Colombo, Matteo, Paolo Martinelli, and Marco di Prisco. "A Design Approach to Evaluate the Load-Carrying Capacity of Reinforced Concrete Slabs Considering Tensile Membrane Action.” Structural Engineering International (May 27, 2020): 1–11. doi:10.1080/10168664.2020.1747957.
[21] Ali Al-Ahmed, Ali Hussein, Mushriq Fuad Kadhim Al-Shamaa, and Hasan Hussein Ali. "Implication of Yield Lines Theory in Method Three of the ACI Code for Two-Way Reinforced Concrete Slabs.” IOP Conference Series: Materials Science and Engineering 737 (March 6, 2020): 012005. doi:10.1088/1757-899x/737/1/012005.
[22] Panda, Sushree Sangeeta, Subham Ghosh, and Bhagabat Jena. "Yield Behaviour of Three Edge Simply Supported Two-Way Slab Under Concentrated Loading.” Lecture Notes in Civil Engineering (July 3, 2020): 213–220. doi:10.1007/978-981-15-4577-1_17.
[23] Jain, Anunay, and Veerendra Kumar. "Yield Line Analysis of Reinforced Concrete Slab Carrying Concentrated Loading.” Journal of the Institution of Engineers (India): Series A 101, no. 1 (November 30, 2019): 195–206. doi:10.1007/s40030-019-00414-7.
[24] Reddy, J. N. "Theory and Analysis of Elastic Plates and Shells” CRC Press (November 20, 2006). doi:10.1201/9780849384165.
[25] Timoshenko, S.P. and Krieger, S.W. "Theory of Plates and Shells, Indian Edition.” Tata McGraw Hill Education. (2015).
[26] Park, W.L. Gamble. "Reinforced Concrete Slabs, 2nd Edition.” John Wiley and Sons, New York (2000).
[2] ACI: Standard 318-08. "Building Code Requirements for Reinforced Concrete.” American Concrete Institute, Detroit (2008).
[3] CSA: Standard A23.3.-94 "Design of Concrete Structures.” Canadian Standards Association, Ontario. (1994).
[4] Gupta, Sushant, and Harvinder Singh. "Analysis of Reinforced Concrete Rectangular Slabs with Three-Sides Supported Under Uniformly Distributed Load.” Asian Journal of Civil Engineering 21, no. 1 (August 13, 2019): 81–90. doi:10.1007/s42107-019-00182-6.
[5] Demsky, Edward C., and David S. Hatcher. "Yield Line Analysis of Slabs supported on Three Sides.” American Concrete Institute 66, no. 9 (January 1969): 741-744.
[6] Singh, H. et al. "Prediction of collapse load of three-side supported RC rectangular slab; A simplified Approach.” Indian Concrete Journal 85, no. 7 (July 2011): 21-28.
[7] Ingerslev, A. "Om en elementaer beregningsmetode af krydsarmerede plader. [The strength of rectangular slabs].” [In Danish] (Also printed in English). The Institution of Structural Engineers 1 no. 1 (1921): 3-14.
[8] Johansen, K.W. "Beregning af krydsarmerede jernbetonpladers brudmoment, In Bygningsstatiske Meddelelser.” (In Danish), 3, no. 1 (1931): 1-18.
[9] Johansen, K.W. "Brudlinieteorier, English translation: Yield-Line Theory.” Cement and Concrete Association, London, (1943).
[10] Johansen, K.W. "Yield-Line Formulae for Slabs” Cement and Concrete Association, London (January 1, 1972). doi:10.1201/9781482272321.
[11] Kemp, K.O. "The Yield Criterion for Orthotropically Reinforced Concrete Slabs.” International Journal of Mechanical Sciences 7, no. 11 (November 1965): 737–746. doi:10.1016/0020-7403(65)90002-0.
[12] Jones, L.L. and Wood, R.H. "Yield line analysis of slabs.” James & Hudson, London. (January 1967).
[13] Shukla, S. N. "Handbook for Design of Slabs by Yield-line and Strip Methods.” Structural Engineering Research Centre, Roorkee, India. (1973).
[14] Nielsen, M.P., and L.C. Hoang. "Limit Analysis and Concrete Plasticity” CRC Press (April 19, 2016). doi:10.1201/b10432.
[15] Kennedy, G.C. "Practical yield line design.” British cement Association, U.K (2003).
[16] Megson, T.H.G. ‘Structural and Stress Analysis, Chapter 19” Elsevier (2005): 625-639. doi:10.1016/b978-0-7506-6221-5.x5000-0.
[17] Pillai, U. and Menon D. "Reinforced Concrete Design.” Tata McGraw Hill Education, New Delhi (2011).
[18] Quintas, Valent ı´ N. "Two main methods for yield line analysis of slabs." Journal of Engineering Mechanics 129, no. 2 (2003): 223-231. doi:10.1061/(ASCE)0733-9399(2003)129:2(223).
[19] Mohammed, Abbas Haraj, Khattab Saleem Abdul-Razzaq, Taha Khalid Mohammedali, Dia Eddin Nassani K., and Ali K. Hussein. "Finite Element Modeling of Post-Tensioned Two-Way Concrete Slabs under Flexural Loading.” Civil Engineering Journal 4, no. 1 (February 7, 2018): 1. doi:10.28991/cej-030964.
[20] Colombo, Matteo, Paolo Martinelli, and Marco di Prisco. "A Design Approach to Evaluate the Load-Carrying Capacity of Reinforced Concrete Slabs Considering Tensile Membrane Action.” Structural Engineering International (May 27, 2020): 1–11. doi:10.1080/10168664.2020.1747957.
[21] Ali Al-Ahmed, Ali Hussein, Mushriq Fuad Kadhim Al-Shamaa, and Hasan Hussein Ali. "Implication of Yield Lines Theory in Method Three of the ACI Code for Two-Way Reinforced Concrete Slabs.” IOP Conference Series: Materials Science and Engineering 737 (March 6, 2020): 012005. doi:10.1088/1757-899x/737/1/012005.
[22] Panda, Sushree Sangeeta, Subham Ghosh, and Bhagabat Jena. "Yield Behaviour of Three Edge Simply Supported Two-Way Slab Under Concentrated Loading.” Lecture Notes in Civil Engineering (July 3, 2020): 213–220. doi:10.1007/978-981-15-4577-1_17.
[23] Jain, Anunay, and Veerendra Kumar. "Yield Line Analysis of Reinforced Concrete Slab Carrying Concentrated Loading.” Journal of the Institution of Engineers (India): Series A 101, no. 1 (November 30, 2019): 195–206. doi:10.1007/s40030-019-00414-7.
[24] Reddy, J. N. "Theory and Analysis of Elastic Plates and Shells” CRC Press (November 20, 2006). doi:10.1201/9780849384165.
[25] Timoshenko, S.P. and Krieger, S.W. "Theory of Plates and Shells, Indian Edition.” Tata McGraw Hill Education. (2015).
[26] Park, W.L. Gamble. "Reinforced Concrete Slabs, 2nd Edition.” John Wiley and Sons, New York (2000).
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