# Computer Aided Systems Into Establishing Formulation Of Finite Element Method Of A 2 Dimensional Kirchhoff Plate

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This chapter of the study is in accordance to the concluding results of this study, the results are to be obtained through a numerical approximate solution and Computer aided systems into establishing formulation of Finite Element Method of a 2-Dimensional Kirchhoff Plate. This study investigate the behavior of plates based on Kirchhoff theory of thin plates in plane stress, the study established the formulation of the FEM to the plate in the previous chapter there for this chapter will show the results and discussion of the formulation by implying it on an actual case study to verify the accuracy of the formulation and the developed algorithm by two methods in FEM solution using analytical integration and numerical integrations of the stiffness matrix form parametric comparison. 4.2 IDEALIZED PLATE MODEL The plate under study is a rectangular plate simply supported at four ends with load force at it extremes, the study aims to find the nodal displacement of the plate caused by the load. Also the plate was modeled in FEA software for comparison reason and to check the algorithm accuracy, the plate specification is as follows: Material Density ρ = 7840 Poisson ratio = 0.3 Plate thickness = 0.01 Load = 1*105 N a = b = 1 m Figure 7 4.1 idealized plate model 4.3 PLATE FEM WITH NUMERICAL INTEGRATION RESULTS The FEM model was discretized into several schemes to verify the efficiency of the FEA solution as well as the