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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. |
In solid mechanics, what is the correct vector form of the equations of motion for a plane elasticity problem? |
A. | D* +f= u |
B. | D* +f= u |
C. | D<sup>2</sup>* +f= u |
D. | D* +f= u |
Answer» B. D* +f= u | |
2. |
In solid mechanics, which option is not a characteristic of a plane stress problem in the XYZ Cartesian system? |
A. | One dimension is very small compared to the other two dimensions |
B. | All external loads are coplanar |
C. | Strain along any one direction is zero |
D. | Stress along any one direction is zero |
Answer» D. Stress along any one direction is zero | |
3. |
For any two cases of plane elasticity problems, if the constitutive equations are different, then their final equations of motion are also different. |
A. | True |
B. | False |
Answer» B. False | |
4. |
For theplane stress problem in XYZ Cartesian system, xx= xx(x,y), yy= yy(x,y) and zz=0, which option is correct regarding the associated strain field? |
A. | <sub>xx</sub>=0 |
B. | <sub>yx</sub>=0 |
C. | <sub>zx</sub>=0 |
D. | <sub>yy</sub>=0 |
Answer» D. <sub>yy</sub>=0 | |
5. |
Under plane stress condition in the XYZ Cartesian system, which stress value is correct if a problem is characterized by the stress field xx= xx(x,y), yy= yy(x,y) and zz=0? |
A. | <sub>xy</sub>=0 |
B. | <sub>yx</sub> 0 |
C. | <sub>zx</sub> 0 |
D. | <sub>yz</sub> 0 |
Answer» C. <sub>zx</sub> 0 | |
6. |
For an orthotropic material, if E and v represent Young s modulus and the poisons ratio, respectively, then what is the value of v12 if E1=200 Gpa, E2=160 Gpa and v21=0.25? |
A. | 0.3125 |
B. | 0.05 |
C. | 0.2125 |
D. | 0.3 |
Answer» B. 0.05 | |
7. |
5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is =C . Which option is the correct structure of the matrix C? |
A. | ( begin{pmatrix} bar{c}_{11} & bar{c}_{12} & 0 bar{c}_{12} & bar{c}_{22} & 0 0 & 0 & bar{c}_{66} end{pmatrix} ) |
B. | ( begin{pmatrix} bar{c}_{11} & 0 & bar{c}_{13} bar{c}_{12} & bar{c}_{22} & 0 0 & 0 & bar{c}_{66} end{pmatrix} ) |
C. | ( begin{pmatrix} bar{c}_{11} & bar{c}_{12} & 0 - bar{c}_{12} & bar{c}_{22} & 0 0 & 0 & bar{c}_{66} end{pmatrix} ) |
D. | ( begin{pmatrix} bar{c}_{11} & - bar{c}_{12} & 0 bar{c}_{12} & bar{c}_{22} & 0 0 & 0 & bar{c}_{66} end{pmatrix} ) |
Answer» B. ( begin{pmatrix} bar{c}_{11} & 0 & bar{c}_{13} bar{c}_{12} & bar{c}_{22} & 0 0 & 0 & bar{c}_{66} end{pmatrix} ) | |
8. |
Underplane strain condition, what is the value of yy if the problem is characterized by the displacement field ux=2x+3y, uy=5y2, and uz=0? |
A. | 10y |
B. | 5y |
C. | 3 |
D. | 0 |
Answer» B. 5y | |
9. |
For a plane strain problem, which strain value is correct if the problem is characterized by the displacement field ux=ux(x,y), uy=uy(x,y) and uz=0? |
A. | <sub>xy</sub>=0 |
B. | <sub>xz</sub>=0 |
C. | <sub>yz</sub> 0 |
D. | <sub>xz</sub> 0 |
Answer» C. <sub>yz</sub> 0 | |
10. |
For plane elasticity problems in three dimensions, which option is not responsible for making the solutions independent of one of the dimensions? |
A. | Geometry |
B. | Boundary conditions |
C. | Externally applied loads |
D. | Material |
Answer» E. | |
11. |
In solid mechanics, what does linearized elasticity deal with? |
A. | Small deformations in linear elastic solids |
B. | Large deformations in linear elastic solids |
C. | Large deformations in non-Hookean solids |
D. | Small deformations in non-Hookean solids |
Answer» B. Large deformations in linear elastic solids | |