Explore topic-wise MCQs in Finite Element Method.

This section includes 13 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.

Which option is correct for the first derivative of the shape function S in the study of plane elasticity problems?

A. It is element-wise constant for triangular element whereas not a constant for quadrilateral element
B. It is element-wise constant for both the triangular element as well as a quadrilateral element
C. It is not a constant for triangular element whereas element-wise constant for quadrilateral element
D. It is a combination of a linear function and constant for both the triangular element and a quadrilateral element
Answer» B. It is element-wise constant for both the triangular element as well as a quadrilateral element
Discussion
2.

Which form of a periodic solution is sought for the natural vibration study of plane elastic bodies?

A. { }={ <sub>0</sub>}e<sup>i t</sup>
B. { }={ <sub>0</sub>}e<sup>-i </sup>
C. { }={ <sub>0</sub>}e<sup>-i t</sup>
D. { }={ <sub>0</sub>}e<sup>-i /t</sup>
Answer» D. { }={ <sub>0</sub>}e<sup>-i /t</sup>
Discussion
3.

Which option is not correct with respect to the orders of the matrices in the following finite element model of plane elastic equations?Me ( ddot{ Delta}^e )+Ke e=Fe+Qe

A. Mass matrix M has order 2n x 2n
B. Stiffness matrix K has order 2n x n
C. The element load vector F has order 2n x 1
D. The vector of internal forces Q has order 2n x 1
Answer» C. The element load vector F has order 2n x 1
Discussion
4.

For a linear quadrilateral element, what is the order of matrix B in the strain-displacement relation =BD, where D denotes the displacement matrix?

A. 6 3
B. 3 6
C. 3 8
D. 8 3
Answer» D. 8 3
Discussion
5.

For a linear triangular element, what is the order of matrix B in the strain-displacement relation =BD, where D denotes the displacement matrix?

A. 6 3
B. 3 6
C. 3 8
D. 8 3
Answer» C. 3 8
Discussion
6.

What is the function on ( frac{ partial s}{ partial n} ) if S (n, e) denotes the shape function of a linear quadrilateral element?

A. Linear in e and constant in n
B. Constant in e and Linear in n
C. Linear in both e and n
D. Constant in both e and n
Answer» B. Constant in e and Linear in n
Discussion
7.

What is the other name of a linear triangular element for plane elasticity problems?

A. Constant-strain triangle
B. Linear-strain triangle
C. Quadratic-strain triangle
D. Variable-strain triangle
Answer» B. Linear-strain triangle
Discussion
8.

What is the correct statement regarding the shape function S of a linear triangular element?

A. The first derivatives of S and hence, all the strains are element-wise constant
B. The first derivatives of S are linear, but the strains are element-wise constant
C. The first derivatives of S and hence the strains are linear functions
D. The first derivatives of S are element-wise constant, but the strains are linear
Answer» B. The first derivatives of S are linear, but the strains are element-wise constant
Discussion
9.

What are the simplest elements that fit for the finite element model of the plane elasticity equations?

A. Linear triangular and quadratic quadrilateral elements
B. Quadratic triangular and linear quadrilateral elements
C. Linear triangular and linear quadrilateral elements
D. Quadratic triangular and quadratic quadrilateral elements
Answer» D. Quadratic triangular and quadratic quadrilateral elements
Discussion
10.

Which interpolation functions must be used for the primary variables in weak forms of plane elasticity equations?

A. Hermite family interpolation function
B. Lagrange family interpolation function
C. Hierarchical interpolation function
D. Quadratic interpolation function
Answer» C. Hierarchical interpolation function
Discussion
11.

What can one conclude about the displacement components ux and uy in the finite element model of the plane elasticity equations?

A. They are primary variables and must be carried as primary nodal degrees of freedom
B. They are secondary variables and must be carried as primary nodal degrees of freedom
C. They are primary variables and must be carried as secondary nodal degrees of freedom
D. They are secondary variables and must be carried as secondary nodal degrees of freedom
Answer» C. They are primary variables and must be carried as secondary nodal degrees of freedom
Discussion
12.

In FEM, if two independent variables are components of the same vector, then they can be approximated by two different types of interpolations.

A. True
B. False
Answer» C.
Discussion
13.

If only the first derivatives of ux and uy appear in the weak forms, then their interpolation must be at least bilinear.

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