MCQOPTIONS
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MCQOPTIONS
This section includes 12 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 the Shear Deformation plate theory, what characteristic contributes to shear locking? |
| A. | Transverse shear strains in thick plates present computational difficulties |
| B. | Transverse shear strains in thin plates present computational efficiency |
| C. | For thick plates, the element stiffness matrix yields erroneous results for the generalized displacements |
| D. | For thin plates, the element stiffness matrix becomes stiff and yields erroneous results |
| Answer» E. | |
| 2. |
In the Shear Deformation plate theory, when does the transverse shear strains in the element equations present computational difficulties? |
| A. | If the plate is thick |
| B. | If the side to thickness ratio of the plate is large |
| C. | If the side to thickness ratio of the plate is small |
| D. | If higher-order finite elements are used |
| Answer» C. If the side to thickness ratio of the plate is small | |
| 3. |
In FEM, which option is correct for a linear plate theory based on infinitesimal strains and orthotropic material properties? |
| A. | The plane elasticity equations govern the transverse deflections |
| B. | The transverse deflections are coupled with in-plane displacements |
| C. | The in-plane displacements are zero in the absence of in-plane forces |
| D. | The transverse deflections are zero in the absence of in-plane forces |
| Answer» D. The transverse deflections are zero in the absence of in-plane forces | |
| 4. |
In SDT, what are the boundary conditions for a plate that is simply supported if ф represents the rotation of the transverse normal about an in-plane axis and w is the transverse deflection? |
| A. | w=0, ( frac{ partial w}{ partial n} )=0 |
| B. | w=0,ф=0 |
| C. | w=0, ( frac{ partial w}{ partial n} ) 0 |
| D. | w=0, M<sub>nn</sub>=0 |
| Answer» E. | |
| 5. |
In SDT, what are the boundary conditions for a plate that is clamped if ф represents the rotation of the transverse normal about an in-plane axis and w is the transverse deflection? |
| A. | w=0, ( frac{ partial w}{ partial n} )=0 |
| B. | w=0,&fcy;=0 |
| C. | w=0, ( frac{ partial w}{ partial n} ) 0 |
| D. | w=0, M<sub>nn</sub>=0 |
| Answer» C. w=0, ( frac{ partial w}{ partial n} ) 0 | |
| 6. |
Which option specifies an assumption made in Shear Deformation Theory for a plate lying in the plane XY? |
| A. | <sub>zz</sub> 0 |
| B. | <sub>xz</sub>=0 |
| C. | <sub>yz</sub> 0 |
| D. | <sub>xy</sub>=0 |
| Answer» D. <sub>xy</sub>=0 | |
| 7. |
In displacement-based plate theories, which assumption of Classical Plate Theory is relaxed in Shear Deformation Theory? |
| A. | A straight-line perpendicular to the plane of the plate is inextensible |
| B. | A straight line perpendicular to the plane of the plate remains straight |
| C. | A straight line perpendicular to the plane of the plate rotates such that it remains perpendicular to the tangent to the deformed surface |
| D. | A straight line perpendicular to the plane of the plate rotates |
| Answer» D. A straight line perpendicular to the plane of the plate rotates | |
| 8. |
In displacement-based plate theories, which option is correct about Shear Deformation Theory (SDT)? |
| A. | It is also called Kirchhoff plate theory |
| B. | It is an extension of Euler-Bernoulli beam theory from one dimension to two dimensions |
| C. | It does not involve Timoshenko beam theory |
| D. | It is often known as Hencky-Mindlin plate theory |
| Answer» E. | |
| 9. |
Which equation correctly describes Hamilton s principle used in FEM? |
| A. | 0= ( int_{t_1}^{t_2} )[ K-( U+ V)]dt |
| B. | 0= ( int_{t_1}^{t_2} )t[ K-( U+ V)]dt |
| C. | 0= ( int_{t_1}^{t_2} )[ K+( U+ V)]dt |
| D. | 0= ( int_{t_1}^{t_2} )t[- K+( U+ V)]dt |
| Answer» B. 0= ( int_{t_1}^{t_2} )t[ K-( U+ V)]dt | |
| 10. |
In FEM, what are the primary variables in the Shear Deformation Theory of plate deformation (w)? |
| A. | The transverse deflection w only |
| B. | The transverse deflection w and the normal derivative of w |
| C. | The transverse deflection w and the angles of rotation of the transverse normal about in-plane axes |
| D. | The angles of rotation of the transverse normal about in-plane axes only |
| Answer» D. The angles of rotation of the transverse normal about in-plane axes only | |
| 11. |
In displacement-based plate theories, if a linear theory based on infinitesimal strains and orthotropic material properties is used, then the in-plane displacements are coupled with the transverse deflection. |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
In FEM, which theory is an extension of the Timoshenko beam theory? |
| A. | Classical Plate Theory |
| B. | Hencky-Mindlin plate theory |
| C. | Kirchhoff plate theory |
| D. | Shell theory |
| Answer» C. Kirchhoff plate theory | |