MCQOPTIONS
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MCQOPTIONS
This section includes 13 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. |
Which option is correct for the first derivative of the shape function S in the study of plane elasticity problems? |
| A. | It is element-wise constant for triangular element whereas not a constant for quadrilateral element |
| B. | It is element-wise constant for both the triangular element as well as a quadrilateral element |
| C. | It is not a constant for triangular element whereas element-wise constant for quadrilateral element |
| D. | It is a combination of a linear function and constant for both the triangular element and a quadrilateral element |
| Answer» B. It is element-wise constant for both the triangular element as well as a quadrilateral element | |
| 2. |
Which form of a periodic solution is sought for the natural vibration study of plane elastic bodies? |
| A. | { }={ <sub>0</sub>}e<sup>i t</sup> |
| B. | { }={ <sub>0</sub>}e<sup>-i </sup> |
| C. | { }={ <sub>0</sub>}e<sup>-i t</sup> |
| D. | { }={ <sub>0</sub>}e<sup>-i /t</sup> |
| Answer» D. { }={ <sub>0</sub>}e<sup>-i /t</sup> | |
| 3. |
Which option is not correct with respect to the orders of the matrices in the following finite element model of plane elastic equations?
|
| A. | Mass matrix M has order 2n x 2n |
| B. | Stiffness matrix K has order 2n x n |
| C. | The element load vector F has order 2n x 1 |
| D. | The vector of internal forces Q has order 2n x 1 |
| Answer» C. The element load vector F has order 2n x 1 | |
| 4. |
For a linear quadrilateral element, what is the order of matrix B in the strain-displacement relation =BD, where D denotes the displacement matrix? |
| A. | 6 3 |
| B. | 3 6 |
| C. | 3 8 |
| D. | 8 3 |
| Answer» D. 8 3 | |
| 5. |
For a linear triangular element, what is the order of matrix B in the strain-displacement relation =BD, where D denotes the displacement matrix? |
| A. | 6 3 |
| B. | 3 6 |
| C. | 3 8 |
| D. | 8 3 |
| Answer» C. 3 8 | |
| 6. |
What is the function on ( frac{ partial s}{ partial n} ) if S (n, e) denotes the shape function of a linear quadrilateral element? |
| A. | Linear in e and constant in n |
| B. | Constant in e and Linear in n |
| C. | Linear in both e and n |
| D. | Constant in both e and n |
| Answer» B. Constant in e and Linear in n | |
| 7. |
What is the other name of a linear triangular element for plane elasticity problems? |
| A. | Constant-strain triangle |
| B. | Linear-strain triangle |
| C. | Quadratic-strain triangle |
| D. | Variable-strain triangle |
| Answer» B. Linear-strain triangle | |
| 8. |
What is the correct statement regarding the shape function S of a linear triangular element? |
| A. | The first derivatives of S and hence, all the strains are element-wise constant |
| B. | The first derivatives of S are linear, but the strains are element-wise constant |
| C. | The first derivatives of S and hence the strains are linear functions |
| D. | The first derivatives of S are element-wise constant, but the strains are linear |
| Answer» B. The first derivatives of S are linear, but the strains are element-wise constant | |
| 9. |
What are the simplest elements that fit for the finite element model of the plane elasticity equations? |
| A. | Linear triangular and quadratic quadrilateral elements |
| B. | Quadratic triangular and linear quadrilateral elements |
| C. | Linear triangular and linear quadrilateral elements |
| D. | Quadratic triangular and quadratic quadrilateral elements |
| Answer» D. Quadratic triangular and quadratic quadrilateral elements | |
| 10. |
Which interpolation functions must be used for the primary variables in weak forms of plane elasticity equations? |
| A. | Hermite family interpolation function |
| B. | Lagrange family interpolation function |
| C. | Hierarchical interpolation function |
| D. | Quadratic interpolation function |
| Answer» C. Hierarchical interpolation function | |
| 11. |
What can one conclude about the displacement components ux and uy in the finite element model of the plane elasticity equations? |
| A. | They are primary variables and must be carried as primary nodal degrees of freedom |
| B. | They are secondary variables and must be carried as primary nodal degrees of freedom |
| C. | They are primary variables and must be carried as secondary nodal degrees of freedom |
| D. | They are secondary variables and must be carried as secondary nodal degrees of freedom |
| Answer» C. They are primary variables and must be carried as secondary nodal degrees of freedom | |
| 12. |
In FEM, if two independent variables are components of the same vector, then they can be approximated by two different types of interpolations. |
| A. | True |
| B. | False |
| Answer» C. | |
| 13. |
If only the first derivatives of ux and uy appear in the weak forms, then their interpolation must be at least bilinear. |
| A. | True |
| B. | False |
| Answer» B. False | |