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This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Finite Element Method knowledge and support exam preparation. Choose a topic below to get started.
1. |
What is the displacement function for one-dimensional, two noded linear elements in terms of its shape functions N1 and N2? |
A. | N<sub>1</sub>u<sub>1</sub>+N<sub>2</sub>u<sub>2</sub> |
B. | N<sub>1</sub>u<sub>2</sub>+N<sub>2</sub>u<sub>1</sub> |
C. | N<sub>1</sub>u<sub>1</sub>-N<sub>2</sub>u<sub>2</sub> |
D. | N<sub>1</sub>u<sub>2</sub>-N<sub>2</sub>u<sub>1</sub> |
Answer» B. N<sub>1</sub>u<sub>2</sub>+N<sub>2</sub>u<sub>1</sub> | |
2. |
In FEM, which option is not correct about the Lagrange family of triangular elements? |
A. | The nodes are uniformly spaced |
B. | Pascal s triangle can be viewed as a triangular element |
C. | Dependent variables and their derivatives are continuous at inter-element boundaries |
D. | 2<sup>nd</sup>degree polynomial corresponds to 6 noded triangle |
Answer» D. 2<sup>nd</sup>degree polynomial corresponds to 6 noded triangle | |
3. |
In the FEM element library, an eight noded quadrilateral element belongs to which family? |
A. | Serendipity |
B. | Linear |
C. | Simplex |
D. | Quadratic |
Answer» B. Linear | |
4. |
In the FEM element library, what is the other name of a higher-order element? |
A. | Complex element |
B. | Simplex element |
C. | Linear element |
D. | Nonlinear element |
Answer» B. Simplex element | |
5. |
Which option is not correct about the four-noded rectangular plane stress element used in FEM? |
A. | It has eight degrees of freedom |
B. | Shape functions N1, N2, N3 and N4 are bilinear functions of x and y |
C. | The displacement field is continuous across elements |
D. | Its Delaunay triangulation is unique |
Answer» E. | |
6. |
Concerning triangular elements in FEM, which option is not correct about the mathematical formula of Pascal s triangle? |
A. | It contains the terms in two coordinates only |
B. | The position of the terms can be viewed as the nodes of a triangular element |
C. | The position of the first and last terms of a row is at the vertices of a triangular element |
D. | A triangular element of order 2 corresponds to the second row |
Answer» E. | |
7. |
In FEM, What is the number of displacement polynomials necessary for finding displacements in a linear triangular element? |
A. | 1 |
B. | 2 |
C. | 3 |
D. | 4 |
Answer» C. 3 | |
8. |
In FEM, which option is used to develop the Higher-order triangular elements (i.e. triangular elements with interpolation functions of higher degree) systematically? |
A. | Pascal s triangle |
B. | Galerkin method |
C. | Jacobi method |
D. | Delaunaytriangulation |
Answer» B. Galerkin method | |
9. |
Which option is not correct about the three-noded triangular plane stress (linear) element used in FEM? |
A. | It has six degrees of freedom |
B. | It belongs to both the isoparametric and superparametric element families |
C. | It can be improved by the addition of internal degrees of freedom |
D. | Delaunay triangulation can be used for its mesh generation |
Answer» D. Delaunay triangulation can be used for its mesh generation | |