MCQOPTIONS
Saved Bookmarks
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. |
If 1, 2; 3, 4; 5, 6 and 7, 8 are the degrees of freedom at nodes 1,2,3 and 4 respectively then the common degrees of freedom for e=1 and e=2 are ____ |
| A. | 3 4, 7 8 |
| B. | 1 2, 3 4 |
| C. | 5 6, 7 8 |
| D. | 1 2, 5 6 |
| Answer» B. 1 2, 3 4 | |
| 2. |
If 1, 2 and 3 is the order of sequence of elemental nodes of e=1 then to make elemental connectivity, which of the following is the correct order for e=2? |
| A. | 2 3 1 |
| B. | 1 3 2 |
| C. | 3 2 1 |
| D. | 2 1 3 |
| Answer» B. 1 3 2 | |
| 3. |
In a two-dimensional static structural problem, the various non-zero stresses are ____ |
| A. | σ=[σxσyσz] |
| B. | σ=[σxσyσx+σy] |
| C. | σ=[σxσyσx-σy] |
| D. | σ=[σxσyτxy] |
| Answer» E. | |
| 4. |
u=u[x(e,n),y(e,n)] and v=v[x(e,n),y(e,n)] Using the chain rule of partial derivatives, we get Jacobian of the transformation, J. The relation between area (A) of 2D three noded triangular element and Jacobian is given by _____ |
| A. | of 2D three noded triangular element and Jacobian is given by _____a) A=1*|detJ| |
| B. | A=(1/3)*|detJ| |
| C. | A=0.5*|detJ| |
| D. | A=2*|detJ| |
| Answer» D. A=2*|detJ| | |
| 5. |
If x1, x2 and x3 are displacements of nodes 1, 2 and 3 respectively and e, n are shape functions then which expression correctly describes displacement of any point(x,y) on the element along x direction? |
| A. | x=(x1-x3)e+(x2-x3)n+x3 |
| B. | x=n*x1+e*x2+x3 |
| C. | x=(x1–x2)e+(x2-x3)n+x3 |
| D. | x=(x1–x2)e+(x1-x3)n+x3 |
| Answer» B. x=n*x1+e*x2+x3 | |
| 6. |
For A1=5, A2=10, A3=5, what is the value of the shape function at node 1 of the triangular element shown? |
| A. | 0.15 |
| B. | 0.25 |
| C. | 0.35 |
| D. | 0.45 |
| Answer» C. 0.35 | |
| 7. |
In Finite Element Methods (FEM), In two-dimensional problems, we shall have two types of errors, one due to the approximation of the solution and the other due to approximation of the domain. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 8. |
For A1, A2, and A3 as area coordinates and s1, s2 and s3 as shape functions for the element shown, which relation is correct? |
| A. | s1=A1/(A1+A2+A3) |
| B. | s1=(A1+A2+A3)/A1 |
| C. | s1=A1+A2+A3 |
| D. | s1=A1 |
| Answer» B. s1=(A1+A2+A3)/A1 | |
| 9. |
Which of the following expression is the correct solution (u) for finite element approximation over the 3 noded element shown? |
| A. | u=c1+x*c2+y*c3 |
| B. | u=c1+x*c2+y*c1 |
| C. | u=c1+x*c2+y*c3+x*y |
| D. | u=x*c1+y*c2 |
| Answer» B. u=c1+x*c2+y*c1 | |
| 10. |
In Finite Element Methods (FEM), a boundary value problem is a set of differential equations with a solution, which also satisfies some additional constraints, known as ___ |
| A. | boundary conditions |
| B. | nodal values |
| C. | equilibrium equations |
| D. | energy minimum |
| Answer» B. nodal values | |
| 11. |
In Finite Element Methods (FEM), in two-dimensional problems, we approximate solution on a domain but not the domain itself. |
| A. | True |
| B. | False |
| Answer» C. | |