MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 15 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. |
From the Timoshenko beam theory of natural vibrations, using cubic Hermite polynomials approximation, what is the 1st element of the mass matrix? |
| A. | ( frac{ rho A}{3} ) |
| B. | ( frac{ rho A}{6} ) |
| C. | 0 |
| D. | ( frac{ rho I}{3} ) |
| Answer» B. ( frac{ rho A}{6} ) | |
| 2. |
From the Euler-Bernoulli beam theory of natural vibrations, using cubic Hermite polynomials approximation, what is the 1st element of the stiffness matrix? |
| A. | ( frac{12EI}{h^3} ) |
| B. | ( frac{12EA}{h^3} ) |
| C. | ( frac{12EA}{h} ) |
| D. | ( frac{12AI}{h^3} ) |
| Answer» B. ( frac{12EA}{h^3} ) | |
| 3. |
In matrix algebra, what is the value of a-b if the eigenvector of ( begin{pmatrix}1&1&1 1&1&1 1&1&1 end{pmatrix} ) corresponding to eigenvalue three is ( begin{pmatrix}a b a end{pmatrix} )? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 4. |
In matrix algebra, what is the eigenvalue of the matrix ( begin{pmatrix} 1&1&1 1&1&1 1&1&1 end{pmatrix} )? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 5. |
In matrix algebra, a matrix K equals ( begin{pmatrix} 1&0&0 0&1&0 0&0&3 end{pmatrix} ). What is the value of a, if K7 = ( begin{pmatrix} c&0&0 0&b&0 0&0&a end{pmatrix} )? |
| A. | 2187 |
| B. | 729 |
| C. | 6561 |
| D. | 5<sup>7</sup> |
| Answer» B. 729 | |
| 6. |
The dynamic equation of motion of a structure contains M, C and K as mass, damping and stiffness matrices of the structure, respectively. If F is an external load vector, then which option is correct about the equation? |
| A. | M ( ddot{x} ) + K ( dot{x} ) + Cx = F |
| B. | M ( ddot{x} ) is time-dependent |
| C. | All the forces are time-independent |
| D. | The equation is of 3<sup>rd</sup> order |
| Answer» C. All the forces are time-independent | |
| 7. |
In matrix algebra, which option is not correct about an eigenvalue problem of the type Ax = Lx? |
| A. | It has a discrete solution |
| B. | It has solution only if A non-singular |
| C. | x is called eigenvector |
| D. | L is called eigenvalue |
| Answer» C. x is called eigenvector | |
| 8. |
The unsteady natural axial oscillations of a bar are periodic, and they are determined by assuming a solution u(x, t) = U(x) e-iwt. Which option is not correct about the solution equation? |
| A. | w denotes the natural frequency |
| B. | w<sup>2</sup> denotes eigenvalue |
| C. | U(x) denotes mode shape |
| D. | u(x, t) denotes transverse displacements |
| Answer» E. | |
| 9. |
The governing equation of an unsteady one-dimensional heat transfer problem is given below. It has a solution u(x,t) = U(x)exp( t). What is appropriately called? ( frac{- partial}{ partial x} (a frac{ partial u}{ partial x}) + b frac{ partial u}{ partial t} ) + cu = 0 for 0<x<L |
| A. | Natural frequency |
| B. | Eigenvalue |
| C. | Thermal diffusivity |
| D. | Thermal flux |
| Answer» C. Thermal diffusivity | |
| 10. |
In thermodynamics, the following equation represents a diffusion process. If k is thermal conductivity, p is density, and c is the specific heat at constant pressure, then what is ? ( frac{ partial^2 T}{ partial x^2} = frac{1}{ alpha} frac{ partial T}{ partial t} ) |
| A. | ( frac{k}{pc} ) |
| B. | ( frac{pc}{k} ) |
| C. | ( frac{c}{kp} ) |
| D. | ( frac{c}{k} ) |
| Answer» B. ( frac{pc}{k} ) | |
| 11. |
A plane wall was maintained initially at a temperature of 35 C. It is subjected to an ambient temperature of 45 C at one surface. If the heat transfer coefficient at the surfaces of the wall is assumed to be infinite, then what is the new temperature at the wall surface? |
| A. | 35 C |
| B. | 45 C |
| C. | 40 C |
| D. | 50 C |
| Answer» C. 40 C | |
| 12. |
A plane wall was maintained initially at a temperature of T units. It is subjected to an ambient temperature of T units at one surface. If the heat transfer coefficient at the surfaces of the wall is assumed to be infinite, then what is the new temperature at the wall? |
| A. | T |
| B. | T<sub> </sub> |
| C. | T<sub> </sub>-T |
| D. | T-T<sub> </sub> |
| Answer» C. T<sub> </sub>-T | |
| 13. |
A plane wall of thermal conductivity of 45 ( frac{W}{mK} ) was initially maintained at a temperature of 35 C. It is subjected to an ambient temperature of 45 C at one surface. If the heat transfer coefficient at the surface of the wall is 9 ( frac{W}{m^2K} ), then what is the temperature gradient developed at the surface? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 14. |
A plane wall of length L units and Cross-section area A units was initially maintained at a temperature of T units. It is subjected to an ambient temperature of T units at one surface. If the heat transfer coefficient at the surface of the wall is assumed to be h units, then what is the temperature gradient developed at the surface?a)(T -T) ( frac{h}{k} ) |
| A. | (T<sub> </sub>-T) ( frac{1}{L} ) |
| B. | T<sub> </sub>-T |
| C. | T-T<sub> </sub> |
| Answer» B. T<sub> </sub>-T | |
| 15. |
Suppose the following eigenvalue equation represents a bar problem, then the value of the parameters a and c0 should be EA and A, respectively. (- frac{d}{dx}(a frac{dU}{dx}) )= c0 U |
| A. | True |
| B. | False |
| Answer» B. False | |