Explore topic-wise MCQs in Finite Element Method.

This section includes 8 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.

Considering the problem of (linear) bending of beams according to the Euler-Bernoulli beam theory, if the beam is in equilibrium, then solving the equations governing the equilibrium of the Euler-Bernoulli beam is equivalent to minimizing the total potential energy.

A. True
B. False
Answer» B. False
Discussion
2.

Which statement is not true regarding the variables present in the viscous ow problems?

A. Velocity components are zero on xed walls
B. Shear stress is zero along the line of symmetry
C. Vertical velocity component v<sub>y</sub> and horizontal stress t<sub>x</sub> must be zero along the horizontal line of symmetry
D. Shear stress is non zero along the line of symmetry
Answer» E.
Discussion
3.

In the formulation of the finite element model for fluids flows, which option is not correct about the penalty formulation?

A. The continuity equation is an additional relation among the velocity components
B. The constraint is satisfied in an approximate sense
C. Uses the penalty function method
D. Involves natural and direct formulation of momentum and continuity equations
Answer» E.
Discussion
4.

If a finite element model involves the natural and direct formulation of momentum and continuity equations, then it is known as the velocity-pressure formulation or mixed formulation.

A. True
B. False
Answer» B. False
Discussion
5.

The following equation represents the momentum equation for a fluid flow that is approximated by a two-dimensional model. What does k stand for?
( frac{ partial v_x}{ partial t}- frac{ partial}{ partial x}(2k frac{ partial v_x}{ partial x})- frac{ partial}{ partial y}[k( frac{ partial v_x}{ partial y}+ frac{ partial v_y}{ partial x})]+ frac{ partial P}{ partial x} )-fx=0

A. Thermal conductivity
B. Fluid viscosity
C. Density
D. Pressure
Answer» C. Density
Discussion
6.

For fluid flows obeying conservation of mass, what is the value of k if v=4x+ky denotes the velocity at any point in the flow?

A. -4
B. 4
C. -2
D. 2
Answer» B. 4
Discussion
7.

In mathematical modeling, for which option, a fluid flow can be approximated by a two-dimensional model?

A. One of the dimensions is very small, and there is some flow along with it
B. One of the dimensions is very long, and there is no flow along with it
C. One of the dimensions is very long, and there is some flow along with it
D. The velocity components in two directions vary along the third direction
Answer» C. One of the dimensions is very long, and there is some flow along with it
Discussion
8.

For fluid flows, which expression does not characterize the slow flow of a viscous and incompressible fluid in a closed domain?

A. v. v=0
B. 0
C. =0
D. =0
Answer» E.
Discussion