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.

In Classical Plate Theory, how many triangles assemble to give a conforming triangular element with DOF w, ( frac{dw}{dy} ) and ( frac{dw}{dy} ) at each vertex?

A. 1
B. 3
C. 4
D. 12
Answer» C. 4
Discussion
2.

In Classical Plate Theory, because the 4-noded rectangular element is non-conforming, it gives poor results in approximation.

A. True
B. False
Answer» C.
Discussion
3.

In Classical Plate Theory, what is the correct comment for the polynomial w=a1+a2x+a3y+a4xy+a5x2+a6y2+a7(x2y+xy2)+a8x3+a9y3?

A. It is used in the approximation of deflection for a rectangular element
B. It is a complete third order polynomial
C. It s an incomplete third order polynomial
D. w varies as a quadratic along any line x=constant
Answer» D. w varies as a quadratic along any line x=constant
Discussion
4.

12.How many termpolynomial is used in the approximation of w for a three noded triangular element with three DOF at each node?

A. 9-term
B. 18-term
C. 6-term
D. 12-term
Answer» B. 18-term
Discussion
5.

In FEM, what are the primary variables in the Classical Plate Theory of plate deformation (w)?

A. The transverse deflection w only
B. The transverse deflection w and the normal derivative of w
C. The normal derivative of w only
D. The normal and the time derivative of w
Answer» C. The normal derivative of w only
Discussion
6.

Which option specifiesan assumption made in Classical Plate Theory for a plate lying in the plane XY?

A. <sub>zz</sub>=0
B. <sub>xz</sub> 0
C. <sub>yz</sub> 0
D. <sub>xy</sub>=0
Answer» B. <sub>xz</sub> 0
Discussion
7.

In displacement-based plate theories, which option is not an assumption of Classical Plate Theory (CPT)?

A. A straight line perpendicular to the plane of the plate is inextensible
B. A straight line perpendicular to the plane of the plate remains straight
C. A straight line perpendicular to the plane of the plate remains straight and does not rotate
D. A straight line perpendicular to the plane of the plate rotates such that it remains perpendicular to the tangent to the deformed surface
Answer» D. A straight line perpendicular to the plane of the plate rotates such that it remains perpendicular to the tangent to the deformed surface
Discussion
8.

In FEM, which theory is an extension of the Euler-Bernoulli beam theory?

A. Classical Plate Theory
B. Shear Deformation Theory
C. Hencky-Mindlin plate theory
D. Shell theory
Answer» B. Shear Deformation Theory
Discussion
9.

In FEM, which principle is used to derive the governing equations of displacement-based plate theories?

A. The principle of virtual forces
B. The principle of virtual work
C. The principle of virtual displacements
D. The principle of least energy
Answer» D. The principle of least energy
Discussion
10.

Which option is correct about an analog of a plate in simple plate theory used in FEM?

A. A plate is a one-dimensional analog of a beam
B. A plate is a two-dimensional analog of a beam
C. A plate is a three-dimensional analog of a beam
D. A plate is not analogous to beam
Answer» C. A plate is a three-dimensional analog of a beam
Discussion
11.

In the bending of elastic plates, although the plate problems are similar to the plane stress problems, plates are also subjected to transverse loads that cause bending about axes normal to the plane of the plate.

A. True
B. False
Answer» C.
Discussion
12.

In FEM, what does the simple two-dimensional plate theories account for?

A. The kinematics of bending deformation of thin bodies without to transverse loads
B. The kinematics of bending deformation of thin bodies subjected to transverse loads
C. Thin bodies subjected to transverse loads without bending deformation
D. Thin plates subjected to transverse loads with bending deformation
Answer» C. Thin bodies subjected to transverse loads without bending deformation
Discussion