Applicability of the Laminated Plate Theories on Reinforced Concrete Slab
DOI:
https://doi.org/10.23918/eajse.v9i2p5Keywords:
CLPT, FSDT, RC Slab, Deflection, StressAbstract
The purpose of this study is to indicate the applicability of laminated plate theory to reinforced concrete (RC) slabs in the elastic stage. For static bending analysis of reinforced concrete (RC) slabs, analytical methods are applied, such as the first order shear deformation theory (FSDT) and the classical laminated plate theory (CLPT). This research takes into account that an RC slab is made up of several layers of concrete and steel bars that are bonded together. Two cases of simply supported square slabs, in which the slab thickness varies, have been considered. The deflection and stresses on the center of the RC slab have been calculated by using Navier approaches of the classical laminated plate theory of plates and the first order shear theory. The results were compared to the experimental and FEM findings of the previous study. The present research concluded that the results of the deflection predicted by laminated plate theory coincide with the experimental results with sufficient accuracy, and CLPT fails to take into account shear strains at the interfaces that making it less applicable compared to the FSDT. However, the application of the laminated plate theory formulas to determine the stresses for RC slab gave a bit different in the results compared with experimental results from a previous study. Also, the results of laminated plate theories are heavily influenced by a variety of assumptions.
References
[1] Darwin D, Dolan CW, Nilson AH. Design of concrete structures. New York, NY, USA::
McGraw-Hill Education; 2016.
[2] Reddy JN. Mechanics of laminated composite plates and shells: theory and analysis. CRC
press; 2003 Nov 24.
[3] Euler L. De motu vibratorio tympanorum. Novi commentarii academiae scientiarum
Petropolitanae. 1766: 243-60.
[4] Ventsel E, Krauthammer T, Carrera EJ. Thin plates and shells: theory, analysis, and
applications. Appl. Mech. Rev.. 2002 Jul 1; 55(4): B72-3.
https://doi.org/10.1115/1.1483356
[5] Reissner E, Stavsky Y. Bending and stretching of certain types of heterogeneous
aeolotropic elastic plates. 1961: 402-408. https://doi.org/10.1115/1.3641719
[6] Reddy JN, Robbins Jr DH. Theories and computational models for composite laminates.
1994. https://doi.org/10.1115/1.3111076
[7] Liu D, Li X. An overall view of laminate theories based on displacement hypothesis.
Journal of composite materials. 1996 Sep; 30(14): 1539-61.
http://dx.doi.org/10.1007/s11831-019-09392-2
[8] Altenbach H. Theories for laminated and sandwich plates: A review. Mechanics of
composite materials. 1998 May; 34(3): 243-52. https://doi.org/10.1007/BF02256043
[9] Ghugal YM, Shimpi RP. A review of refined shear deformation theories for isotropic and
anisotropic laminated beams. Journal of reinforced plastics and composites. 2001 Feb;
20(3): 255-72. https://doi.org/10.1177/073168401772678283
[10] Reddy JN, Arciniega RA. Shear deformation plate and shell theories: from Stavsky to
present. Mechanics of Advanced Materials and Structures. 2004 Nov 1; 11(6): 535-82.
[11] Kant TA, Swaminathan K. Estimation of transverse/interlaminar stresses in laminated
composites–a selective review and survey of current developments. Composite structures.
2000 May 1; 49(1): 65-75. http://dx.doi.org/10.1016/S0263-8223(99)00126-9
[12] Mittelstedt C, Becker W. Interlaminar stress concentrations in layered structures: Part I-A
selective literature survey on the free-edge effect since 1967. Journal of Composite
Materials. 2004 Jun; 38(12): 1037-62. https://doi.org/10.1177/0021998304040566
[13] Reddy JN. A penalty plate‐bending element for the analysis of laminated anisotropic
composite plates. International Journal for numerical methods in Engineering. 1980 Aug;
15(8): 1187-206.
[14] Sharif, S.M. Plate Theory Based Prediction of the Behavior of RC Slabs. Master Tthesis,
vol. College of Engineering,University of Salahaddin-Erbil.2020
[15] Sharif SM, Ahmed S. Theoretical Investigation of Stresses and Displacement in RC
Rectangular Slab. American Scientific Research Journal for Engineering, Technology, and
Sciences (ASRJETS). 2019; 57(1): 62-76.
[16] TAHA D, ELMARDI OM. THEORIES ON LAMINATED COMPOSITE PLATES. 2017
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