Analysis of Thin Plates with Internal Rigid Supports of Different Shapes and Layouts by the Boundary Point Method
- 15 Downloads
A boundary point method solution for the analysis of thin Kirchhoff plates with internal rigid supports is presented in this paper. The model is capable of handling supports of different shapes and layouts. The rigidity condition used extensively in this work refers to zero deflection over all the patched supported area. A typical application to the aforementioned is the analysis of floor slab systems supported with columns or walls, in which the stiffness of the columns and walls is considered infinitely large. To accurately model the plate–support interaction, each patched support area is divided to a group of cells and the compatibility conditions between the plate and the supported patched areas are satisfied. Two numerical examples are presented and their results are compared with the finite element methods (FEM) as well as with the available results in the literature. The comparison verifies the accuracy of the proposed solution.
KeywordsBoundary point method Plate bending Plate–column interaction Internal supports Floor slab system
Unable to display preview. Download preview PDF.
The authors gratefully acknowledge the support provided by King Fahd University of Petroleum & Minerals (KFUPM) for this work.
- 1.ACI Committee, American Concrete Institute, and International Organization for Standardization: Building Code Requirements for Structural Concrete (ACI 318-08) and Commentary. American Concrete Institute (2008)Google Scholar
- 2.Tavio; Teng, S.: Flexural design concept for irregular flat-plate floors. In: 26th Conference on Our World in Concrete & Structures, Singapore, 27–28 August 2001Google Scholar
- 3.Timoshenko, S.; Woinowsky-Krieger, S.: Theory of Plates and Shells. McGraw-Hill (1959)Google Scholar
- 4.Szilard, R.: Theories and Applications of Plate Analysis: Classical, Numerical and Engineering Methods. Wiley (2004)Google Scholar
- 5.Ugural, A.C.: Stresses in Beams, Plates, and Shells. CRC Press, Boca Raton (2009)Google Scholar
- 6.Musa, A.E.S.; Al-Gahtani, H.J.: Series-based solution for analysis of simply supported rectangular thin plate with internal rigid supports. Adv. Civil Eng. 2017, 6516471 (2017). https://doi.org/10.1155/2017/6516471
- 10.Guminiak, M.; Jankowiak, T.: The analysis of internally supported thin plates by the boundary element method. Part 3—initial stability analysis. Inst. Struct. Eng. Piotrowo 10, 61–138 (2007)Google Scholar
- 11.Guminiak, M.; Sygulski, R.: The analysis of internally supported thin plates by the boundary element method. Part 1—static analysis. Inst. Struct. Eng. Piotrowo 5(9), 61–138 (2007)Google Scholar
- 20.Kołodziej, Jan Adam; Zielinski, A.P.: Boundary Collocation Techniques and Their Application in Engineering. WIT Press, Ashurst (2009)Google Scholar