MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 10 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. |
In FEM, which option is the most realistic representation of the actual force between deformable bodies?a) Point loadb) Uniformly varying loadc) Sine distributiond) Uniformly distributed load 11.For the following element, what is the value of a+b such that the Jacobian J=\(\frac{1}{4}\)[a(1+η)+b(1+ξ)-2(ξ+η)] is positive, where (ξ, η) are natural coordinates? |
| A. | Point loadb) Uniformly varying loadc) Sine distributiond) Uniformly distributed load 11.For the following element, what is the value of a+b such that the Jacobian J=\(\frac{1}{4}\)[a(1+η)+b(1+ξ)-2(ξ+η)] is positive, where (ξ, η) are natural coordinates? a) >2 |
| B. | Uniformly varying loadc) Sine distributiond) Uniformly distributed load 11.For the following element, what is the value of a+b such that the Jacobian J=\(\frac{1}{4}\)[a(1+η)+b(1+ξ)-2(ξ+η)] is positive, where (ξ, η) are natural coordinates? a) >2b) <2 |
| C. | Sine distributiond) Uniformly distributed load 11.For the following element, what is the value of a+b such that the Jacobian J=\(\frac{1}{4}\)[a(1+η)+b(1+ξ)-2(ξ+η)] is positive, where (ξ, η) are natural coordinates? a) >2b) <2c) =2 |
| D. | Uniformly distributed load 11.For the following element, what is the value of a+b such that the Jacobian J=\(\frac{1}{4}\)[a(1+η)+b(1+ξ)-2(ξ+η)] is positive, where (ξ, η) are natural coordinates? a) >2b) <2c) =2d) 0View Answer |
| Answer» D. Uniformly distributed load 11.For the following element, what is the value of a+b such that the Jacobian J=\(\frac{1}{4}\)[a(1+η)+b(1+ξ)-2(ξ+η)] is positive, where (ξ, η) are natural coordinates? a) >2b) <2c) =2d) 0View Answer | |
| 2. |
In local mesh refinement, if very small elements are placed adjacent to very large ones, then the mesh becomes unacceptable. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
A finite element mesh is refined by subdividing existing elements into two or more elements of the same type, what is the name of such a refinement? |
| A. | h-version mesh refinement |
| B. | p-version mesh refinement |
| C. | h, p-version mesh refinement |
| D. | p, h-version mesh refinement |
| Answer» B. p-version mesh refinement | |
| 4. |
For a finite element mesh to be valid, which option is not true regarding the elements used? |
| A. | The number of elements used is not exact |
| B. | Elements can be of different orders |
| C. | Elements can be of different types |
| D. | The choice of elements and mesh is problem-independent |
| Answer» E. | |
| 5. |
Which of the following finite element geometries contains unacceptable vertex angles, in practice? |
| A. | 1 and 2 |
| B. | 2 and 4 |
| C. | Only 3 |
| D. | 1, 3 and 5 |
| Answer» E. | |
| 6. |
In the generation of element geometries, for what value of je, the element geometries lie within the limits of acceptable distortion? |
| A. | je>0 |
| B. | je<0 |
| C. | je=0 |
| D. | Any real value of je |
| Answer» B. je<0 | |
| 7. |
In the generation of element geometries, if dx dy represents an area element in the real element and dεdη represents the corresponding area element in the master element, then what is the expression for Jacobian je?a) (dx dy) (dεdη)b) \(\frac{dx}{d\epsilon} \frac{dy}{d\eta}\) c) \(\frac{d\epsilon}{dx} \frac{d\eta}{dy}\) d) \(\frac{1}{(dx dy) (d\epsilon d\et |
| A. | (dx dy) (dεdη) |
| B. | \(\frac{dx}{d\epsilon} \frac{dy}{d\eta}\) |
| C. | \(\frac{d\epsilon}{dx} \frac{d\eta}{dy}\) |
| D. | \(\frac{1}{(dx dy) (d\epsilon d\eta)}\) |
| Answer» C. \(\frac{d\epsilon}{dx} \frac{d\eta}{dy}\) | |
| 8. |
In FEM, which option is not correct with respect to the generation of element geometries? |
| A. | It involves coordinate transformation |
| B. | It is based on a one-to-many mapping |
| C. | A point in actual element maps uniquely to master element |
| D. | Tiny interior angles are avoided |
| Answer» C. A point in actual element maps uniquely to master element | |
| 9. |
In mathematical modeling of a process, which option is not a characteristic of a numerical solution method? |
| A. | It does not give exact information on the quantities of interest |
| B. | A set of assumptions are made about the process |
| C. | Applicable to simple problems only |
| D. | Finite element method is used |
| Answer» D. Finite element method is used | |
| 10. |
In mathematical modeling of a process, which option is not a characteristic of an analytical solution? |
| A. | Mathematical equations are used to describe a process |
| B. | Most practical problems cannot be solved |
| C. | Exact information on the quantities of interest is obtained |
| D. | Finite element method is used |
| Answer» E. | |