Finite Element Analysis Essay

Finite Element Analysis Of Square Isotropic Plate In Bending

Abstract Finite element method is a computational method used to obtain an approximate solution for a lot of problems of engineering and mathematical physics that can not be obtained by analytical solutions. Where it has helped to solve a lot of complex computational problems after it was developed in the middle of the last century by A. Hrennikoff and R. Courant. After the development that took place in the world of computer software, it could be solved complicated mathematical problems easily by using finite element method. The goal of this work is static deflection analysis of isotropic square plate and stresses on the plate by using the finite element method.

INTRODUCTION 4

2. GEOMETRY AND DEFORMATION 4

3. STRESS AND STRAIN RESULTS 6

4. CASES OF THE STUDAY 8

5. BOUNDARY CONDITIONS 10

6. FINITE ELEMENT FORMOLATION FOR PLATE BENDNG. 11

7. THREE MAIN STAGES TO SOLVE FOR THE DEFLACTION OR STRESS USING THE SOFTWARE LISA.

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Figure 3: The general stress components 6

Figure 4: Square plate under each Distributed Load and point load. 9

Figure 5: Square CLAMPED plate under each Distributed Load and Point load. 9

FIGURE 6: Square plate geometry and nodal degrees of freedom 11

Figure 7: The distribution of the deflection, stress, and slope for simply supported plate under uniform load with thickness 20 mm. 15

Figure 8: The distribution of the deflection, stress, and slope for simply supported plate under point load with thickness 20 mm. 16

Figure 9: The distribution of the deflection, stress, and slope for clamped plate under uniform load with thickness 20 mm. 17

Figure 10: The distribution of the deflection, stress, and slope for clamped plate under point load with thickness 20 mm.