Deck 3: Finite Element Analysis (FEA)

Question 1

What is the full form of FEA

A)Fracture Element Analysis
B)Finite Element Analysis
C)Future Electronic Analysis
D)None of the above

Answer 1

Finite Element Analysis

Question 2

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

A)Tetrahedron
B)Quadrilateral
C)Parallelogram
D)Rectangle

Answer 2

Tetrahedron

Question 3

For truss analysis, which type of elements is used?

A)Triangle
B)Parallelogram
C)Rectangle
D)Bar

Answer 3

Bar

Question 4

To solve the FEM problem, it subdivides a large problem into smaller, simpler parts that are called

A)static elements
B)dynamic elements
C)infinite elements
D)finite elements

Question 5

The art of subdividing the structure into a convenient number of smaller elements is known as

A)discretization
B)assemblage
C)continuum
D)traction

Question 6

The sum of the shape function is equal to

A)0
B)0.5
C)1
D)2

Question 7

A triangular plane stress element has how many degrees of freedom?

A)3
B)4
C)5
D)6

Question 8

Number of displacement polynomials used for an element depends on .

A)nature of element
B)type of an element
C)degrees of freedom
D)nodes

Question 9

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

A)KQ=F
B)KQ?F
C)K=QF
D)K?QF

Question 10

The finite element method is mostly used in the field of

A)structural mechanics
B)classical mechanics
C)applied mechanics
D)engineering mechanics

Question 11

In FEA, the sub domains are called as .

A)particles
B)molecules
C)elements
D)none

Question 12

The numbers of node for 1 D element are

A)1
B)2
C)3
D)0

Question 13

Finite element analysis deals with .

A)approximate numerical solution
B)non-boundary value problems
C)Laplace equations
D)All of the above

Question 14

Stiffness matrix depends on

A)material
B)geometry
C)both material and geometry
D)none of the above

Question 15

Example of 2-D Element is .

A)bar
B)triangle
C)hexahedron
D)tetrahedron

Question 16

For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of

A)2*2
B)3*3
C)4*4
D)6*6

Question 17

To find the nodal displacements in all parts of the element, are used.

A)shape function
B)node function
C)element function
D)coordinate function

Question 18

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

A)friction
B)traction
C)boundary condition
D)surfacing

Question 19

The truss element can resist only

A)surface force
B)axial force
C)point load
D)none of the above

Question 20

The truss element can deform only in the

A)vertical direction
B)horizontal direction
C)inclined direction
D)axial direction

Question 21

Example for one - Dimensional element is .

A)triangular element
B)brick element
C)truss element
D)axisymmetric element

Question 22

The determinant of an element stiffness matrix is always

A)3
B)2
C)1
D)0

Question 23

How many nodes are there in a 3-D brick element?

A)3
B)6
C)8
D)9

Question 24

From below, choose the condition for the axisymmetric element.

A)Symmetric about axis
B)Boundary conditions are symmetric about an axis
C)Loading conditions are symmetric about an axis
D)All the above

Question 25

Axis-Symmetric element is Element

A)1D
B)2D
C)3D
D)4D

Question 26

is/are the phase/s of finite element method

A)Pre-processing
B)Solution
C)Post Processing
D)None

Question 27

The minimum number of dimensions are required to define the position of a point in space is .

A)3
B)4
C)1
D)2

Question 28

The finite element methods can be applied in ---------areas.

A)thermal
B)soil and rock mechanics
C)vibration
D)all of the above

Question 29

If the structure is more complex in order to simplify the model, we need to subdivide the structure into substructures. These substructures are termed as .

A)elements
B)modules
C)links
D)models

Question 30

Which of the following is not a method for calculation of the stiffness matrix?

A)The minimum potential energy principle
B)Galerkin's principle
C)Weighted residual method
D)Inverse matrix method

Question 31

is defined as the ratio of the largest dimension of the element to the smallest dimension.

A)Element depth ratio
B)Mode shape ratio
C)Aspect ratio
D)None of the above

Question 32

are used to express the geometry or shape of the element

A)Mode shapes
B)Shape functions
C)Natural curves
D)None of the above

Question 33

When a thin plate is subjected to loading in its own plane only, the condition is called _

A)plane stress
B)plane strain
C)zero stress
D)zero strain

Question 34

The characteristic of the shape function is

A)the shape function has a unit value at one nodal point and zero value at the other nodes
B)the sum of the shape function is equal to one
C)both a & b
D)None of the above

Question 35

The points in the entire structure are defined using the coordinates system is known as

A)local coordinates system
B)natural coordinates system
C)global coordinate system
D)none of the above

Question 36

The applications of the Finite Element Method in two-dimensional analyses are .

A)stretching of plates
B)gravity of dams
C)axisymmetric shells
D)all of the above

Question 37

If the body is in a state of equilibrium then the energy is minimum. This statement is considered in .

A)inverse matrix method
B)weighted residual method
C)Galerkin's principle
D)the minimum potential energy principle

Question 38

Which of the following is true for the stiffness matrix (K)?

A)K is a banded matrix
B)K is un-symmetric
C)K is an un-banded matrix
D)none of the above

Question 39

The actual thickness of plane strain element is .

A)very large
B)very small
C)assumed by software
D)any of the above

Question 40

Which of the following is not an FEA package?

A)ANSYS
B)Nastran
C)Abaqus
D)AutoCAD

Question 41

Which of the following module of FEA is used to determine natural frequency?

A)Static analysis
B)Thermal analysis
C)Modal analysis
D)All of the above

Question 42

For thermal analysis, the field variable is

A)stress
B)strain
C)displacement
D)Temperature

Question 43

In FEA of a fluid mechanics problem, we need to find .

A)stress distribution
B)heat flux distribution
C)pressure distribution
D)all of the above

Question 44

Crack propagation problems come under category.

A)steady-state problems
B)eigenvalue problems
C)transient problems
D)any of the above

Question 45

In penalty approach, rigid support is considered as a spring having stiffness.

A)zero
B)very small
C)very large
D)infinite

Question 46

How many nodes are there in a tetrahedron element?

A)3
B)4
C)5
D)6

Question 47

How many nodes are there in a hexahedron element?

A)4
B)6
C)8
D)10

Question 48

How many nodes are there in a tetrahedron with curved sides element?

A)6
B)8
C)10
D)12

Question 49

If the size of the elements is small, the final solution is expected to be accurate.

A)more
B)less
C)depends on other factors
D)can't say

Question 50

In truss analysis, the reactions can be found by using the equation .

A)R=KQ+F
B)R=KQ-F
C)R=K+QF
D)R=K-QF