MCQOPTIONS
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MCQOPTIONS
This section includes 11 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 following element, if s is the distance variable as shown, then its value at the 2nd row is \(\frac{1}{3}\). |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
For the following element, what is the value of the distance variable s at the 1st row? |
| A. | 1 |
| B. | 2 |
| C. | 0.5 |
| D. | 0 |
| Answer» D. 0 | |
| 3. |
What is the displacement function for one-dimensional, two noded linear elements in terms of its shape functions N1 and N2? |
| A. | N1u1+N2u2 |
| B. | N1u2+N2u1 |
| C. | N1u1-N2u2 |
| D. | N1u2-N2u1 |
| Answer» B. N1u2+N2u1 | |
| 4. |
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. | 2nddegree polynomial corresponds to 6 noded triangle |
| Answer» D. 2nddegree polynomial corresponds to 6 noded triangle | |
| 5. |
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 | |
| 6. |
In FEM, if x, y represents Cartesian coordinates, then the following triangular array of binomial coefficients forms Pascal’s triangle.\(\begin{matrix}& & & 1 & & &\\& & x & & y & & \\& x^2 & & xy & & y^2 & \\x^3 & & x^2y & & xy^2 & & y^3 \\\end{matrix}\) |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
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. | |
| 8. |
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. | |
| 9. |
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 | |
| 10. |
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 |
| E. | systematically?a) Pascal’s triangleb) Galerkin methodc) Jacobi methodd) Delaunaytriangulation |
| Answer» B. Galerkin method | |
| 11. |
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 | |