MCQOPTIONS
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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. |
Shape functions are linear functions along the _____ |
| A. | Surfaces |
| B. | Edges |
| C. | Elements |
| D. | Planes |
| Answer» C. Elements | |
| 2. |
For four noded quadrilateral element, the global load vector can be determined by considering the body force term in _____ |
| A. | Kinetic energy |
| B. | Potential energy |
| C. | Kinematic energy |
| D. | Temperature |
| Answer» C. Kinematic energy | |
| 3. |
The stiffness matrix from the quadrilateral element can be derived from _____ |
| A. | Uniform energy |
| B. | Strain energy |
| C. | Stress |
| D. | Displacement |
| Answer» C. Stress | |
| 4. |
For a four noded quadrilateral elements, In uT=[u.v]T the displacement elements can be represented as u=N1q1+N2q3+ N3q5+ N4q7v= N1q2+N2q4+ N3q6+ N4q8 then the shape function can be represented as _____ |
| A. | \(N=\left[\begin{array}{ |c c c c}q_1 & q_5 \\ q_2 &q_6\\q_3 &q_7\\q_4 & q_8\end{array}\right]\) |
| B. | \(N=\begin{bmatrix}q_1 &q_3 &q_5 &q_7 \\ q_2 &q_4&q_6&q_8\end{bmatrix}\) |
| C. | \(N=\begin{bmatrix}q_1 \\ q_2\end{bmatrix}\) |
| D. | \(N=\begin{bmatrix}N_1 & 0 & N_3 & 0&N_5&0&N_7 & 0 \\ 0 & N_2 &0 &N_4&0&N_6&0&N_8\end{bmatrix}\) |
| Answer» E. | |
| 5. |
For a four noded element while implementing a computer program, the compact representation of shape function is ____ |
| A. | Nt=\(\frac{1}{4}\)(1-ξ)(1-η) |
| B. | Nt=(1-ξ)(1-η) |
| C. | Nt=\(\frac{1}{4}\)(1+ξξi)(1+ηηi) |
| D. | Undefined |
| Answer» D. Undefined | |
| 6. |
Shape function can be written as _____ |
| A. | Nt=(1-ξ)(1-η) |
| B. | Nt=(1-ξ) |
| C. | Nt=(1-η) |
| D. | Nt=\(\frac{1}{4}\)(1-ξ)(1-η) |
| Answer» E. | |
| 7. |
The master element is defined in ______ |
| A. | Co-ordinates |
| B. | Natural co-ordinates |
| C. | Universal co-ordinates |
| D. | Radius |
| Answer» C. Universal co-ordinates | |
| 8. |
For a four noded quadrilateral, we define shape functions on _____ |
| A. | X direction |
| B. | Y direction |
| C. | Load vector |
| D. | Master element |
| Answer» E. | |
| 9. |
The vector q=[q1,q2………q8]T of a four noded quadrilateral denotes ____ |
| A. | Load vector |
| B. | Transition matrix |
| C. | Element displacement vector |
| D. | Constant matrix |
| Answer» D. Constant matrix | |
| 10. |
In two dimensional isoparametric elements, we can generate element stiffness matrix by using ____ |
| A. | Numerical integration |
| B. | Differential equations |
| C. | Partial derivatives |
| D. | Undefined |
| Answer» B. Differential equations | |