MCQ Questions and Answers on Finite Element Analysis

Q.

On gathering stiffness and loads, the system of equations is given by,

A. KQ=F

B. KQ ≠ F

C. K=QF

D. K ≠ QF

Answer : Option:- A

Explanation :

In structural analysis, after assembling the stiffness matrix (K) and the force vector (F), the system of equations relating the nodal displacements (Q) is given by the equation KQ = F. This equation is solved to find the displacements at the nodes of the structure.

Q.

The sum of the shape function is equal to

A. 0

B. 0.5

C. 1

D. 2

Discuss

Answer : Option:- C

Explanation :

The sum of Shape Function is always 1.

Q.

For truss analysis, which type of elements are used?

A. Triangle

B. Bar

C. Rectangle

D. Parallelogram

Discuss

Answer : Option:- B

Explanation :

In truss analysis, bar elements are used to model the members of the truss. These elements resist axial forces (tension or compression) and are connected at nodes, which define the points where the forces and displacements are calculated.

Q.

From the following, which type of element is not two dimensional?

A. Rectangle

B. Quadrilateral

C. Parallelogram

D. Tetrahedron

Discuss

Answer : Option:- D

Explanation :

A tetrahedron is a three-dimensional element, unlike a rectangle, quadrilateral, and parallelogram, which are two-dimensional. Tetrahedrons are used in 3D finite element analysis for modeling volumes and are not applicable to 2D problems.

Q.

From the following, which type of element is not three dimensional?

A. Hexahedron

B. Quadrilateral

C. Rectangular prism

D. Tetrahedron

Discuss

Answer : Option:- B

Explanation :

A quadrilateral is a two-dimensional element used in planar analysis. In contrast, hexahedrons, rectangular prisms, and tetrahedrons are 3D elements used to model structures in three-dimensional space.

Q.

The nature of loading at various locations and other surfaces conditions called

A. Boundary condition

B. Traction

C. Friction

D. Surfacing

Discuss

Answer : Option:- A

Explanation :

Boundary conditions define how the structure is constrained and how forces are applied to it. This includes conditions on displacement, force, and any external loads acting on the structure at various locations and surfaces.

Q.

The truss element can resist only,

A. Axial force

B. Surface force

C. Point load

D. None of the above

Discuss

Answer : Option:- A

Explanation :

Truss elements can only resist axial forces, which are forces acting along the length of the truss members. They do not resist bending or shear forces, which are handled by other types of elements.

Q.

The finite element methods can be applied in ______ areas.

A. Thermal

B. Soil and rock mechanics

C. Vibrations

D. All of the above

Discuss

Answer : Option:- D

Explanation :

The finite element method (FEM) is a powerful tool that can be applied in various fields, including thermal analysis (heat transfer), soil and rock mechanics (geotechnical engineering), and vibrations (structural dynamics). It is widely used for solving complex engineering problems in these and other areas.

Q.

Example for One Dimensional (1D) element is

A. Triangular element

B. Brick element

C. Truss element

D. Axisymmetric element

Discuss

Answer : Option:- C

Explanation :

A truss element is an example of a one-dimensional (1D) element used in structural analysis. Truss elements only experience axial deformation (tension or compression) and have one degree of freedom (DOF) per node. They do not resist bending or shear forces. Triangular and brick elements are 2D and 3D elements respectively, and axisymmetric elements are 2D as well.

Q.

The determinant of an element stiffness matrix is always

A. 3

B. 2

C. 1

D. 0

Discuss

Answer : Option:- D

Explanation :

The determinant of an element's stiffness matrix is zero (0) in finite element analysis when the system is underdefined or if the element is degenerate. A zero determinant indicates a singular matrix, meaning there are rigid body motions or a lack of resistance in certain deformation modes.

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MCQ Questions and Answers on Finite Element Analysis

Q. On gathering stiffness and loads, the system of equations is given by,

Q. The sum of the shape function is equal to

Q. For truss analysis, which type of elements are used?

Q. From the following, which type of element is not two dimensional?

Q. From the following, which type of element is not three dimensional?

Q. The nature of loading at various locations and other surfaces conditions called

Q. The truss element can resist only,

Q. The finite element methods can be applied in ______ areas.

Q. Example for One Dimensional (1D) element is

Q. The determinant of an element stiffness matrix is always

Q.

On gathering stiffness and loads, the system of equations is given by,

Q.

The sum of the shape function is equal to

Q.

For truss analysis, which type of elements are used?

Q.

From the following, which type of element is not two dimensional?

Q.

From the following, which type of element is not three dimensional?

Q.

The nature of loading at various locations and other surfaces conditions called

Q.

The truss element can resist only,

Q.

The finite element methods can be applied in ______ areas.

Q.

Example for One Dimensional (1D) element is

Q.

The determinant of an element stiffness matrix is always