Explore topic-wise MCQs in Finite Element Method.

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.

In basic equation Lu=f, L is a ____________

A. Matrix function
B. Differential operator
C. Degrees of freedom
D. No. of elements
Answer» C. Degrees of freedom
2.

By the Galerkin approach equation can be written as __________

A. {P}-{K}{Δ}=0
B. {K}-{P}{Δ}=0
C. {Δ}-{p}{K}=0
D. Undefined
Answer» B. {K}-{P}{Δ}=0
3.

To solve a galerkin method of approach equation must be in ___________

A. Equation
B. Vector equation
C. Matrix equation
D. Differential equation
Answer» E.
4.

Virtual strain is ____________

A. ε(ф)=\(\frac{dx}{d\phi}\)
B. ε(ф)=\(\frac{d\phi}{dx}\)
C. ε(ф)=\(\frac{dx}{d\varepsilon}\)
D. ф(ε)=\(\frac{d\varepsilon}{d\phi}\)
Answer» C. ε(ф)=\(\frac{dx}{d\varepsilon}\)
5.

Virtual displacement field is _____________

A. K=\(\frac{EA}{l}\)
B. F=ma
C. f(x)=y
D. ф=ф(x)
Answer» E.
6.

Element connectivities are used for _____

A. Traction force
B. Assembling
C. Stiffness matrix
D. Virtual work
Answer» C. Stiffness matrix
7.

Write the element stiffness matrix for a beam element.

A. K=\(\frac{2EI}{l}\)
B. K=\(\frac{2EI}{l}\begin{bmatrix}2 & 1 \\ 1 & 2 \end{bmatrix}\)
C. K=\(\frac{2E}{l}\begin{bmatrix}2 \\ 1 \end{bmatrix}\)
D. K=\(\frac{2E}{l}\begin{bmatrix}1 & 1 \\ 1 & 1 \end{bmatrix}\)
Answer» C. K=\(\frac{2E}{l}\begin{bmatrix}2 \\ 1 \end{bmatrix}\)
8.

Considering element connectivity, for example for element ψ=[ψ1, ψ2]n for element n, then the variational form is ______________

A. ψT(KQ–F)=0
B. ψ(KQ-F)=0
C. ψ(KQ)=F
D. ψ(F)=0
Answer» B. ψ(KQ-F)=0
9.

In the equation, \(\int_{L} \sigma^T \epsilon(\phi)Adx -\int_{L} \phi^T f Adx -\int_{L}\phi^Tdx – \sum_{i}\phi_i P_i=0\) First term represents _______

A. External virtual work
B. Virtual work
C. Internal virtual work
D. Total virtual work
Answer» D. Total virtual work
10.

Galerkin technique is also called as _____________

A. Variational functional approach
B. Direct approach
C. Weighted residual technique
D. Variational technique
Answer» D. Variational technique