Explore topic-wise MCQs in Finite Element Method.

This section includes 9 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.

What is the displacement function for one-dimensional, two noded linear elements in terms of its shape functions N1 and N2?

A. N<sub>1</sub>u<sub>1</sub>+N<sub>2</sub>u<sub>2</sub>
B. N<sub>1</sub>u<sub>2</sub>+N<sub>2</sub>u<sub>1</sub>
C. N<sub>1</sub>u<sub>1</sub>-N<sub>2</sub>u<sub>2</sub>
D. N<sub>1</sub>u<sub>2</sub>-N<sub>2</sub>u<sub>1</sub>
Answer» B. N<sub>1</sub>u<sub>2</sub>+N<sub>2</sub>u<sub>1</sub>
2.

In FEM, which option is not correct about the Lagrange family of triangular elements?

A. The nodes are uniformly spaced
B. Pascal s triangle can be viewed as a triangular element
C. Dependent variables and their derivatives are continuous at inter-element boundaries
D. 2<sup>nd</sup>degree polynomial corresponds to 6 noded triangle
Answer» D. 2<sup>nd</sup>degree polynomial corresponds to 6 noded triangle
3.

In the FEM element library, an eight noded quadrilateral element belongs to which family?

A. Serendipity
B. Linear
C. Simplex
D. Quadratic
Answer» B. Linear
4.

In the FEM element library, what is the other name of a higher-order element?

A. Complex element
B. Simplex element
C. Linear element
D. Nonlinear element
Answer» B. Simplex element
5.

Which option is not correct about the four-noded rectangular plane stress element used in FEM?

A. It has eight degrees of freedom
B. Shape functions N1, N2, N3 and N4 are bilinear functions of x and y
C. The displacement field is continuous across elements
D. Its Delaunay triangulation is unique
Answer» E.
6.

Concerning triangular elements in FEM, which option is not correct about the mathematical formula of Pascal s triangle?

A. It contains the terms in two coordinates only
B. The position of the terms can be viewed as the nodes of a triangular element
C. The position of the first and last terms of a row is at the vertices of a triangular element
D. A triangular element of order 2 corresponds to the second row
Answer» E.
7.

In FEM, What is the number of displacement polynomials necessary for finding displacements in a linear triangular element?

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
8.

In FEM, which option is used to develop the Higher-order triangular elements (i.e. triangular elements with interpolation functions of higher degree) systematically?

A. Pascal s triangle
B. Galerkin method
C. Jacobi method
D. Delaunaytriangulation
Answer» B. Galerkin method
9.

Which option is not correct about the three-noded triangular plane stress (linear) element used in FEM?

A. It has six degrees of freedom
B. It belongs to both the isoparametric and superparametric element families
C. It can be improved by the addition of internal degrees of freedom
D. Delaunay triangulation can be used for its mesh generation
Answer» D. Delaunay triangulation can be used for its mesh generation