MCQOPTIONS
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MCQOPTIONS
This section includes 12 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. |
For the eigenvalue problem of the form A(u) = λB(u), which option is not correct about the parameters used in the equation below? \(-\frac{d^2x}{dx^2}=\lambda u\) |
| A. | A=\(\frac{d^2x}{dx^2}\) |
| B. | B=1 |
| C. | B=0 |
| D. | λ is called eigenvalue |
| Answer» D. λ is called eigenvalue | |
| 2. |
After Finite Element discretization of a structure, which option expresses the free vibrations equation? |
| A. | Mẍ+Kẋ=F |
| B. | Mẍ+Kẋ=0 |
| C. | Mẍ+Kx=F |
| D. | Mẍ+Kx=0view answer |
| Answer» E. | |
| 3. |
The generalized Eigen value problem [K-ω2M]X=0 has a non-zero solution for X. What is the value of natural frequency, ω if K=\(\begin{pmatrix}1&1&1\\1&1&1\\1&1&1\end{pmatrix}\),M=\(\begin{pmatrix}9&9&9\\9&9&9\\9&9&9\end{pmatrix}\)? |
| A. | 3 |
| B. | 1/9 |
| C. | 9 |
| D. | 1/3 |
| Answer» E. | |
| 4. |
The free vibrations equation after Finite Element discretization of a structure is expressed as Mẍ+Kx=0. Which option is not correct about the free vibration case? |
| A. | Displacements are harmonic |
| B. | x=Xeiωt where X is amplitude |
| C. | [K-ω2M]X=0 |
| D. | KX=Mω2 |
| Answer» E. | |
| 5. |
In FEM, the forced vibrations equation after Finite Element discretization of a structure can be expressed as which option? |
| A. | Mẍ+Kẋ=F |
| B. | Mẍ+Kẋ=0 |
| C. | Mẍ+Kx=F |
| D. | Mẍ+Kx=0 |
| Answer» D. Mẍ+Kx=0 | |
| 6. |
A generalized Eigen value problem [K- ω2M]X=0 has a non-zero solution for X. What can be the value of determinant of the matrix [K- ω2M]? |
| A. | Any integer |
| B. | 0 |
| C. | +1 |
| D. | Positive integer |
| Answer» C. +1 | |
| 7. |
In structural mechanics, which option is not correct about linear analysis? |
| A. | Displacements are infinitesimally small |
| B. | Material is linearly elastic |
| C. | Externally applied loads are a function of time |
| D. | Applied loads are not a function of time |
| Answer» D. Applied loads are not a function of time | |
| 8. |
Which option is not correct about iterative methods for solving system of linear equations? |
| A. | Convergence yields a good approximate solution |
| B. | Insensitive to the growth of round-off errors |
| C. | Gaussian elimination method is an example |
| D. | Starts with an initial approximation |
| Answer» D. Starts with an initial approximation | |
| 9. |
Which option is not correct about direct methods for solving system of linear equations? |
| A. | In the absence of errors it yields exact solution |
| B. | Errors arising from round off and truncation may give useless results |
| C. | Gaussian elimination method is an example |
| D. | Starts with an initial approximation |
| Answer» E. | |
| 10. |
For the following equations, what is the value of x1 using Gaussian elimination method? x1-x2+3x3=10——– (i) 5x2-5x3=-5———— (ii) -7x3=-28—————- (iii) |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 11. |
For the following equations, what is the value of x2 using Gaussian elimination method? x1-x2+3x3=10——– (i) 5x2-5x3=-5———— (ii) -7x3=-28 —————- (iii) |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 12. |
The simultaneous linear equations used in FEM for solution of static problems are KX=F, the methods available for solving these equations are divided into two types: direct and iterative. |
| A. | True |
| B. | False |
| Answer» B. False | |