Explore topic-wise MCQs in Finite Element Method.

This section includes 12 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 reason for an element in the Serendipity family to have a smaller size of stiffness matrix compare to a similar element in the Lagrange family?

A. Absence of interior nodes
B. Modified element connectivity
C. Lesser interpolation functions
D. Irregular arrangements of nodes
Answer» B. Modified element connectivity
2.

Which nodes of the higher-order elements of the Lagrange family do not contribute to the inter-element connectivity?

A. Interior nodes
B. All nodes
C. Corner nodes
D. Intermediate nodes
Answer» B. All nodes
3.

What is the number of nodes present on the boundary of the Lagrange quadratic rectangular element used in FEM?

A. 1
B. 4
C. 8
D. 9
Answer» D. 9
4.

Which option is not correct about the Lagrange family of triangular elements used in FEM?

A. 2<sup>nd</sup>-degree polynomial corresponds to 6 noded triangle
B. 0<sup>th</sup>-degree polynomial corresponds to 1 noded triangle
C. 1<sup>st</sup>-degree polynomial corresponds to 3 noded triangle
D. 3<sup>rd</sup>-degree polynomial corresponds to 9 noded triangle
Answer» E.
5.

Which option is not correct about the Lagrange rectangular element used in FEM?

A. Second-order Lagrange element has nine nodes
B. Zero-order Lagrange element has one node
C. First-order Lagrange element has four nodes
D. Third-order Lagrange element has fifteen nodes
Answer» E.
6.

In the Finite Element Method (FEM), if the geometry is represented by elements of a higher order than those used to approximate the field displacement variables, then it is called super-parametric formulation.

A. True
B. False
Answer» B. False
7.

In FEM, what are the elements in which the same shape functions describe the geometry and field displacement variables?

A. Iso-parametric
B. Axi-Symmetric
C. Super-parametric
D. Sub-parametric
Answer» B. Axi-Symmetric
8.

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

A. A rectangular array of binomial coefficients
B. Galerkin method
C. Jacobi method
D. Delaunay triangulation
Answer» B. Galerkin method
9.

In FEM, what is the name of the shape function of an Euler-Bernoulli beam element?

A. Hermite cubic interpolation function
B. Lagrange cubic interpolation function
C. Consistent element functions
D. Quadratic interpolation functions
Answer» B. Lagrange cubic interpolation function
10.

In FEM, what is the name of the element specified by a polynomial of order two or more?

A. Nonlinear element
B. Higher-order element
C. Linear element
D. Master element
Answer» C. Linear element
11.

If the geometry and other parameters of an element are defined in terms of only one spatial coordinate, then the element is a one-dimensional element?

A. True
B. False
Answer» B. False
12.

In the FEM element library, what is the correct name for a three noded triangular element?

A. Linear strain triangular element
B. Constant strain triangular element
C. Variable strain triangular element
D. Higher-order triangular element
Answer» C. Variable strain triangular element