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 plane elasticity problems, which type of boundary condition is represented by the equation tx≡σxxnx+σxyny, where tx is surface traction force and n is direction cosine? |
| A. | Essential boundary condition |
| B. | Natural boundary condition |
| C. | Both Essential and natural boundary conditions |
| D. | Dirichlet boundary condition |
| Answer» C. Both Essential and natural boundary conditions | |
| 2. |
In solid mechanics, what is the correct vector form of the equations of motion for a plane elasticity problem? |
| A. | D*σ+f=ρü |
| B. | D*σ+f=ρu̇ |
| C. | D2*σ+f=ρü |
| D. | D*σ+f=ρu |
| Answer» B. D*σ+f=ρu̇ | |
| 3. |
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 | |
| 4. |
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 | |
| 5. |
For theplane stress problem in XYZ Cartesian system, σxx=σxx(x,y), σyy=σyy(x,y) and σzz=0, which option is correct regarding the associated strain field? |
| A. | εxx=0 |
| B. | εyx=0 |
| C. | εzx=0 |
| D. | εyy=0 |
| Answer» D. εyy=0 | |
| 6. |
Under plane stress condition in the XYZ Cartesian system, which stress value is correct if a problem is characterized by the stress field σxx=σxx(x,y), σyy=σyy(x,y) and σzz=0? |
| A. | σxy=0 |
| B. | σyx≠0 |
| C. | σzx≠0 |
| D. | σyz≠0 |
| Answer» C. σzx≠0 | |
| 7. |
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 | |
| 8. |
Underplane strain condition, what is the value of εyy if the problem is characterized by the displacement field ux=2x+3y, uy=5y2, and uz=0?a) 10yb) 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C? |
| A. | 10yb) 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. 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. | 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. 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. | 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. 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. | 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. 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) \(\begin{pmatrix}\bar{c}_{11} & -\bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) View Answer |
| Answer» B. 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. 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) \(\begin{pmatrix}\bar{c}_{11} & 0 & \bar{c}_{13} \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) | |
| 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. | εxy=0 |
| B. | εxz=0 |
| C. | εyz≠0 |
| D. | εxz≠0 |
| Answer» C. εyz≠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 | |