Fem Objective Questions

(1)

FEM BITS

1

A triangular plane stress element has ………degree’s of freedomA triangular plane stress element has ………degree’s of freedom [A]

[A] 3 3 [B] [B] 4 4 [C] [C] 5 5 [D] [D] 66

[ D ]

2

Number of displacement polynomials used for Number of displacement polynomials used for an element depends onan element depends on [A]

[A] Nature Nature of of element element [B] [B] type type of of an an element element [C] [C] degrees degrees of of freedom freedom [D] [D] nodesnodes

[

[ C

C ]]

3

In weighted residual technique,the methods adopted areIn weighted residual technique,the methods adopted are [A] point collocation

[A] point collocation method method [B] least squa[B] least squares method res method [C] galerkin’s method [C] galerkin’s method [D] all[D] all

[

D

D ]]

4

The higher order elements are also called asThe higher order elements are also called as [A]

[A] complex complex elements elements [B] [B] compound compound element element [C] [C] linear linear element element [D] [D] nonenone

[

A

A ]]

5

The eight node quadrilateral element belongs to…………. Family fo elementsThe eight node quadrilateral element belongs to…………. Family fo elements [A]

[A] Serendipity Serendipity [B] [B] interdipity interdipity [C] [C] sardipity sardipity [D] [D] nonenone

[

A

A ]]

6

The displacement function for 1-D ,two node linear element in terms of shape function will beThe displacement function for 1-D ,two node linear element in terms of shape function will be [A] u = N

[A] u = N11uu22 + N + N22uu11 [B] [B] u u = = NN22 u u11 + N + N11uu22 [C] u = N[C] u = N11uu11+N+N22uu22 [D] u [D] u = = NN11uu11+N+N11uu22

[

[ C

C ]]

7

On gathering stiffness and loads ,the system of equations is given byOn gathering stiffness and loads ,the system of equations is given by [A] KQ=F

[A] KQ=F [B] KQ≠F[B] KQ≠F [C] [C] K=QFK=QF [D] K≠QF[D] K≠QF

[

[ A

A ]]

8

A six noded triangular element is known asA six noded triangular element is known as [A]

[A] linear linear strain strain triangular triangular element element [B] [B] constant constant strain strain triangular triangular elementelement [C]

[C] varaiable varaiable strain strain triangular element triangular element [D] [D] differable differable strain strain triangular elementtriangular element

[

[ B

B ]]

9

The art of su

The art of subdividing a structure int a bdividing a structure int a convenient convenient number of smaller cnumber of smaller components isCalledomponents isCalled [A]

[A] discretization discretization [B] [B] numbering numbering of of nodes nodes [C] [C] continumm continumm [D] [D] both both a a &b&b

[

[ A

A ]]

10

A three noded triangular element is called asA three noded triangular element is called as [A]linear

[A]linear strain strain triangular triangular element element [B] [B] constant constant strain strain triangular triangular elementelement [C]

[C] varaiable varaiable strain strain triangular element triangular element [D] [D] differable differable strain strain triangular elementtriangular element

[

[ B

B ]]

11

Identify the stressIdentify the stress – – strain relationship matrixstrain relationship matrix [A] . [A] .



−



{{1100

11

₀₀

_−

0000

22

[B] [B]



−



{{1100

0011

₀₀

_−

0000

22

[C] [C]



−



{{1100

11

₀₀

_−

00

22

[D] [D]



−



{{1100

00

₀₀

_−

0000

22 [

[ A

A ]]

12

Stiffness mmatrix for 2D CST elementStiffness mmatrix for 2D CST element

[A]

[][]



[[D] [[B] A t[[D] [[B] A t [B][B]

[][]



[[D] [[B] A t[[D] [[B] A t [C][C]

[][]



[[D] [[B] A t[[D] [[B] A t [D][D]

[][]

22

[[D] [[B]A t[[D] [[B]A t

[

[ A

A ]]

13

The geometry and other parameters of an element in terms of only one spatial coordinateThe geometry and other parameters of an element in terms of only one spatial coordinate then the element is

then the element is [A]

[A] 2 2 dimensional dimensional [B] [B] one one dimensional dimensional [C] [C] three three dimensional dimensional [D] [D] nonenone

[

[ D

D ]]

14

The finite element method is mostly used in the field ofThe finite element method is mostly used in the field of [A] s

[A] structural mechanics tructural mechanics [B]classical m[B]classical mechanics echanics [C] applied [C] applied mechanics mechanics [D]engg m[D]engg mecahnicsecahnics

[

[ D

D ]]

15

FEM cant produce exact resuFEM cant produce exact results as those of…………methodslts as those of…………methods [A]

[A] analytical analytical [B] [B] logical logical [C] [C] theoritical theoritical [D] [D] all all the the aboveabove

[

[ D

D

]]

16

Sum of all shape functions is equal toSum of all shape functions is equal to [A]

[A] Zero Zero [B] [B] -1 -1 [C] [C] +1 +1 [D] [D] 22

[

[ C

C ]]

17

The higher order elements are also called asThe higher order elements are also called as [A]

[A] complex complex elements elements [B] [B] compound compound element element [C] [C] linear linear element element [D] [D] nonenone

[

[ A

A

]]

18

At Fixed support The At Fixed support The displacements are equal to ………displacements are equal to ……… [A]

[A] 1 1 [B] [B] 2 2 [C] [C] 3 3 [D] [D] 00

[

[ D

D

]]

19

FEM also operates the parameters likeFEM also operates the parameters like [A]

[A] heat heat transfer transfer [B] [B] temperature temperature [C] [C] both both A&B A&B [D] [D] nonenone

[

[ D

D ]]

20

Range of poissonRange of poisson’’s ratio for metals iss ratio for metals is [A]

[A] 0.25-0.33 0.25-0.33 [B] [B] 0.22-0.45 0.22-0.45 [C] [C] 0.22-0.25 0.22-0.25 [D] [D] 0.25-0.500.25-0.50

[

(2)

1

The sub domains are called as

[A]Particles [B] molecules [C] elements [D] None

[ C ]

2

If any element is specified by the polynomial of the order of two or more, the element is known as

[A] non linear element [B] higher order element [C] both A&B [D] none

[

B]

3

The shape function of the beam elements are known as

[A] hermite shape functions [B] element shape functions

[C] hermite element functions [D] both A&B

[ B ]

4

FEM also operates the parameters like

[A] heat transfer [B] temperature [C] both A&B [D] none

[ C ]

5

The total potential energy is the algebraic sum of

[A] integral strain energy and work potential [B] integral strain energy and external work done [C]integral stress energy and work potential [D] integral stress energy and external work done

[ B ]

6

In FEM the complex domain defining a continuum is divided into

[A] points [B] elements [C] traiangles [D] none

[ B ]

7

The number of nodes for 1 D element are...

[A] 1 [B] 2 [C] 3 [D] none

[ B ]

8

Finite element analysis deals with

[A] approximate numerical solution [B] non boundary value problems [C] partial differential equations [D] Laplace equations

[ A ]

9

The sum of shape functions is always

[A] 1 [B] 0 [C] infinite [D] None

[ A ]

10

Stiffness matrix depends on

[A] material [B] geometry [C] both [D] none

[ C ]

11

The sub domains are called as

[A] particles [B] molecules [C] elements [D] None

[ C ]

12

If any element is specified by the polynomial of the order of two or more, the element is known

as

[A] non linear element [B] higher order element [C] both A&B [D] none

[ B ]

13

The shape function of the beam elements are known as

[A] hermite shape functions [B] element shape functions

[C] hermite element functions [D] both A&B

[ B ]

14

Units for torsion force is

[A] N/mm2 [B] N/m [C] Kgf/m [D] Kgf/mm

[ B ]

15

If





= 



= 

, a constant in two dimensional plane region then the poissons equation is

given by

[A] k[

∇

2 ∅)+ = 0

[B]

∇

2 ∅ = 0

[C]

∇

2 ∅)+ = 0

[D] Q=0

[ B ]

16

For two dimensional plane stress problems, normal and shear stress are…

[A] zero [B] equal [C] same [D] both a&b

[ A ]

17

For constant strain triangle element, the shape function is

[A]

 +



 +

2 

3

=1 [B]

 +



 +

2 

3

=0 [C]

 +



 +

2 

3

=2 [D]

 +



 +

2 

3

=4

[ A ]

18

Range of poisson’s ratio for metals is

[A] 0.25-0.33 [B] 0.22-0.45 [C] 0.22-0.25 [D] 0.25-0.50

[ D ]

19

Example of 2-D Element

[A] Bar [B] Triangle [C] Hexahedron [D] Tetrahedron

[ B ]

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

is having order of………..

[A] 2*2 [B] 3*3 [C] 4*4 [D] 6*6

(3)

1 The force required to produce unit displacement is

[A] pressure [B] traction [C] stiffness [D] none

[ A ]

2 The distributed force per unit area on the surface of the body is

[A] pressure [B] surface tension [C] traction [D] none

[ A ]

3 Domain is divided into some segments called

[A] finite element [B]stiffness matrix [C]node function [D]shape function

[ A ]

4 Unit of body force acting on every elemental volume of the body is [A] force per unit area [B] force per unit length

[C] force per unit volume [D]force per unit time

[ A ]

5 . …….are used to find the nodal displacements in all parts of element

[A] shape function[B]node function[C]element function [D]coordinate function

[ A ]

6 The ………….is the numerical method for solving complex problems in wide variety of engineering fields

[A] FEA [B] computational analysis [C] ansys [D] ANSA

[ A ]

7 The nature of loading at various locations and other surfaces conditions called [A] boundary condition [B] traction [C] friction [D]surfacing

[ A ]

8 The truss element can resist only

[A] axial force [B] surface force [C] point load [D] none

[ A ]

9

The truss element can deform only in the

[A] axial direction [B] vertical direction

[C] horizontal directional [D] inclined direction

[ A ]

10 3-dimensional frames are used to

[A] Modelling of cars and bicycle frames [B] aerodynamics

[C] bus frames [D] none

[ D ]

11 Displacement can’t be used with ………..boundary conditions

[A] stress [B] strain [C] temperature [D] none

[ D ]

12 The ………….is the numerical method for solving complex problems in wide variety of engineering fields

[A] FEA [B] computational analysis [C] ansys [D] ANSA

[ A ]

13 The nature of loading at various locations and other surfaces conditions called [A] boundary condition [B] traction [C] friction [D]surfacing

[ A ]

14 The truss element can resist only

[A] axial force [B] surface force [C] point load [D] none

[ A ]

15 Units for torsion force is

[ B ]

16 The formulae to find the Number of displacements for truss having 3 nodes is………….

[A]Number of nodes*2 [B] Number of nodes*3

[C] Number of nodes*4 [D] Number of nodes*1

[ A ]

17 At Fixed support The displacements are equal to ………

[A] 1 [B] 2 [C] 3 [D] 0

[ D ]

18 Example of 1-D Element

[A] Bar [B] Triangle [C] Square [D] Tetrahedron

[ A ]

19 Transformation matrix is represented by

[A] [K] [B] [B] [C] [L] [D] [D]

[ C ]

20 Hinged support is having ……….. number of reaction forces

[A] 1 [B] 2 [C] 3 [D]

(4)

1

The art of sub dividing a structure into a convenient number of smaller components is known as

[A] node [B] elementization [C] discretization [D] numbering

[ C ]

2

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

[A] local coordinate [B]natural coordinate

[C]region coordinate [D] global coordinate

[ D ]

3

…….magnitude never exceeds unity

[A] local coordinate [B] natural coordinate [C] region coordinate [D] global coordinate

[ B ]

4

The shape function has…value at one nodal poi nt and…value at other nodal point [A] unity, negative [B] positive, negative [C] unity, zero [D] high, low

[ C ]

5

Units for torsion force is

[ B ]

6

A small unit having definite shape of geometry and node is known as

[A] Discrete element [B] finite element

[C] assembled element [D] Infinite element

[ B ]

7

Example for one – Dimensional element is …..

[A] Triangular element [B] Brick element

[C] Truss element [D] Axisymmetric element

[ C ]

8

The state of stress for a three dimensional body has ——— components.

[A] six [B] three [C] two [D] four

[ A ]

9

The determinant of an element stiffness matrix is always

[A] one [B] zero [C] depends on size of [K] [D] Two

[ B ]

10

Finite element analysis deals with

[A] Approximate numerical solutions [B] Non boundary value problems [C] Partial Differential equations [D] All the above

[ A ]

11

How many nodes are in 3-D brick element

[A] 3 [B]6 [C] 5 [D]8

[ D ]

12

A Deformable system is in equilibrium, if the first variation in the total P.E of the system is

zero‘refers to

[A] theorem of stationary P.E [B] theorem of virtual work [C] theorem of virtual displacement [D] bettis theorem

[ B ]

13

In one of the property of shape function, summation of shape function [Σfi] is

[A] n [B] 2n [C] 1 [D] 0

[ C ]

14

In case of a truss member if there are 3 nodes and each node 2 DOF, then the order of Stiffness

matrix is

[A] 2x2 [B] 3x3 [C] 2x3 [D] 6x6

[ D ]

15

The truss element can deform only in the .[ a ]

[A] axial direction [B] vertical direction

[C] horizontal directional [D] inclined direction

[ A ]

16

The size of the stiffness matrix is equal to the degree of freedom of the

[A] element [B] node [C] shape function [D] beam

[ A ]

17

In FEM the degree of freedom is often called as

[A] shape function [B] nodal displacement[C] element matrix[D] coordinates

[ B ]

18

The final global finite element equation for the complete structure can be written in theMatrix

form

[A] {F}=[k]+{u} [B] {F}=[k]-{u} [C] {F=[k]{u} [D] {F=[k]/{u}

[ C ]

19

The number of shape functions will be equal to the number of

[A] nodes of element [B] elements of the structure

[C] size of the structure [D] coordinates

[ A ]

20

At Fixed support The displacements are equal to ………

[A] 1 [B] 2 [C] 3 [D] 0

(5)

1.LST element has ________nodes.

[ D

]

a)3

b)4

c)5

d)6

2.________ elements are preferred to four node rectangular elements

[ A

]

a) Triangular

b)square

c)orthogonal

d)None

3.First derivatives of the three node elements are called as

[ A

]

a)CST

b)LST

c)VST

d)None

4. In CST element ________ is constant

[ B

]

a)Stress

b)Strain

c)shape function

d)All

5. In local co-ordinate system the nodes of the structure are specified by the _______

[ A

]

a)Origin

b)End points

c)Any point on the element

d)None

6. In local co-ordinate system ________case letters are preferred.

[ B

]

a)Upper

b)Lower

c)both a & b

d)None

7. The two dimensional elements are called ________elements

[ C

]

a) Para symmetric

b) dia symmetric

c) Axi symmetric

d)All

8.To convert Cartesian co-ordinates in to local co-ordinates we use_______ matrix method [

C ]

a) Crammer

b)Henry

c)Jacobian

d)None

9.If the geometry and field displacement variables of the elements are described by the same shape

functions, then these elements are called___________

[ A

]

a) Iso Parametric

b)Axi Symmetric

c)Super parametric

d)Sub Parametric

10.If the geometry of the elements are described by a lower order shape functions ,then these elements

are called _______

[ D

]

a) Iso Parametric

b)Axi Symmetric

c)Super parametric

d)Sub Parametric

11. If the geometry of the elements are described by a Higher order shape functions ,then these

elements are called _______

[ C

]

a) Iso Parametric

b)Axi Symmetric

c)Super parametric

d)Sub Parametric

12.In super parametric elements ,the following condition exists

[ B

]

a) i=j

b) i<j

c) i>j

d)none

13.In sub parametric elements ,the following condition exists

[ C

]

a) i=j

b) i<j

c) i>j

d)none

14.In iso parametric elements ,the following condition exists

[ A

]

a) i=j

b) i<j

c) i>j

d)none

15In FEA, to evaluate the strain displacement matrix we use________ method.

[ C

]

a) Crammer

b)Henry

c)Jacobian

d)None

1.The steady state problems are those which are independent of _______

[ A

]

a) time

b) temperature

c) pressure

d) all of the above

2. For 1-D heat conductional element, Temperature function, T=

[ A

]

a)N

1

T

1

+N

2

T

2

b) N

1

T

1

-N

2

T

2

c) N

1

T

1

/N

2

T

2

d) none

3.Locus of points through which a fluid particle of fixed identity passes as it moves

in space is

[ C

]

a) streamline b) streak line c)path line d) none

4. locus of points in space that all part icles falling on the line whose velocity vectors are tangent to the

line is _________

[ A

]

a) ) streamline b) streak line c)path line d) none

(6)

a) viscous b) inviscid c) intermittent d) none

6._________ problems depends on vertical deflection

[ A

]

a) structural b) heat transfer c) both a) and b) d) none

7.Each node in structural problem has ____degrees of freedom

[ B

]

a) 1 b)2 c) 3 d)4

8.Each node in heat transfer problem has _____ degrees of freedom

[ A

]

a) 1 b)2 c) 3 d)4

9.heat transfer problem depends on

[ D

]

a) thermal conductivity b) heat coefficient c) ambient temperature d) all

10.Minimum potential energy method is used to determine

[ D

]

a) deflection b) slope c) temperature distribution d) all

11. Governing equation for two dimensional heat conduction is

[a]

a)

_



(

_



+

_



(

_



+ = 0

b)

_



(

_



+

_



(

_



+ = 0

c)

_



(

_



+

_



(

_



+ = 0

d)

_



(

_



+

_



(

_



+ = 0

1.the potential function is given by

ɸ

=

[ A

]

a) N

1

P

1

+N

2

P

2

b) N

1

P

1

-N

2

P

2

c) N

1

P

1

/N

2

P

2

d) none

2. the volumetric flow rate is given by

[ A

]

a) f=VA b) f=V/A

c) V=fA d) none

1.________is the reciprocal of period

[ B

]

a) displacement b) frequency c) amplitude d) none

2.__________method is used to calculate nodal displacements at several intervals of time [ A

]

a) direct integration b) indirect integration c) both d)none

3.Explicit method is also called ________method

[ C

]

a) New mark’s b) Wilson’s c) Central differe

nce d) none

4. Wilson’s method is a category of _______ method

[ B

]

a) Explicit b) Implicit c) both d)all

5. In Wilson’s method, acceleration varies _________

[ B

]

a) hyperbolic b) linearly c) as sine wave d) none

1

In below choose which is the correct condition for axisymmetric element

[A] Symmetric about axis [B] Boundary conditions are symmetric about axis [C] Loading conditions are symmetric about axis [D]All the above

(7)

2

QST element consist of _________ number of nodes

[A] 8 [B] 9 [C] 10 [D] 11

[ C ]

3

Based below condition which is a serendipity triangular element _______

[A] Nodes at corner [B] nodes at centre [C] nodes on element [D] none

[ A

]

4

Heat transfer takes place between solid to liquid is known as____________

[A] conduction [B] convection [C]Radiation [D] all of the above

[ B ]

5

Nodal points greater than geometry points is known as__________

[A] Isoparametric [B] Subparametric [C] Superperametric [D] QST

[ B

]

6

Based on which parameter an pol ynomial function can be chosen________________

[A] Nodes [B] Nodal points [C] Nodal displacements [D] Elements

[ C ]

7

Transformation axis is also kno wn as _____________

[A] transformed axis [B] non-dimensional axis [C] natural coordinates [D] All

[ B

]

8

A six noded triangular element is known as

[A] linear strain triangular element [B] constant strain triangular element [C] varaiable strain triangular element [D] differable strain triangular element

[ A

]

9

Heat transfer takes place due t o ________________

[A] conduction [B] convection [C] Radiation [D] ∆T

[ D

]

10

FEM equation for Fluid mechanics Element

[A]F=KT [B] F=KP [C] F=KU [D] F=KZ

[ B

]

11

Stifness matrix for Axis symmetriceleement is

[A] [B]T_[D][B]2_π_rt _{[B] [D]}T_[D][B]At _{[C] [B]}T_{[D][L] 2}_π_rt _{[D] [B]}T_[D][B]At

[ A ]

12

Stiffness mmatrix for 2D CST element

[A]

[]



[D] [B] A t [B]

[]



[D] [B] A t [C]

[]



[D] [B] A t [D]

[]

2

[D] [B]A t

[ A ]

13

Jacobian matrix, [J]=

14

In Fluid Mechanics Problems the Unkonown is ____________________

[A] Temperature [B]Potential [C] Displacement [D]Shape functions

[ B

]

15

LST element contains ______________ nodes

[A] 1 [B] 2 [C] 3 [D] 6

[ D

]

16

Sum of all shape functions is equal to

[A] Zero [B] -1 [C] +1 [D] 2

[ C

]

17

Iso-Parametric Element is _____Element

[A] Regular [B] Ir-regular [C] Sub [D] Super

[ B

]

18

Axis-Symmetric element is______________Element

[A] 1D [B] 2D [C] 3D [D] 4D

[ B

]

19

[A] heat transfer [B] temperature [C] Potential [D] All of the above

[ D ]

20

[A] 0.25-0.33 [B] 0.22-0.45 [C] 0.22-0.25 [D] 0.25-0.50

[ D

]

[ D

]

2

[A] 8 [B] 9 [C] 10 [D] 11

[ C ]

3 [ A

]

4

(8)

5 [ B

]

6

Based on which parameter an pol ynomial function can be chosen________________

[A] Nodes [B] Nodal points [C] Nodal displacements [D] Elements

[ C ]

7 [ B

]

8 [ A

]

9 [ D

]

10 [ B

]

11 [ A ]

12

[A]

[]



[D] [B] A t [B]

[]



[D] [B] A t [C]

[]



[D] [B] A t [D]

[]

2

[D] [B]A t

[ A ]

13

14 [ B

]

15

[A] 1 [B] 2 [C] 3 [D] 6

[ D

]

16

[A] Zero [B] -1 [C] +1 [D] 2

[ C

]

17 [ B

]

18

[A] 1D [B] 2D [C] 3D [D] 4D

[ B

]

19 [ D ]

20

[A] 0.25-0.33 [B] 0.22-0.45 [C] 0.22-0.25 [D] 0.25-0.50

[ D

]

1 [

]

2

[A] 8 [B] 9 [C] 10 [D] 11

[

]

3 [

]

4 [

]

5 [

]

6

Based on which parameter an pol ynomial function can be chosen________________ [A] Nodes [B] Nodal points [C] Nodal displacements [D] Elements

[

]

7

(9)

8 [

]

9 [

]

10 [

]

11 [

]

12

[A]

[]



[D] [B] A t [B]

[]



[D] [B] A t [C]

[]



[D] [B] A t [D]

[]

2

[D] [B]A t

[

]

13

14 [

]

15

[A] 1 [B] 2 [C] 3 [D] 6

[

]

16

[A] Zero [B] -1 [C] +1 [D] 2

[

]

17 [

]

18

[A] 1D [B] 2D [C] 3D [D] 4D

[

]

19 [

]

20

[A] 0.25-0.33 [B] 0.22-0.45 [C] 0.22-0.25 [D] 0.25-0.50

[

]

[A]

[]



[D] [B] A t [B]

[]



[D] [B] A t [C]

[]



[D] [B] A t [D]

[]

2

[D] [B]A t

[

]

2 [

]

3

[A] 0.25-0.33 [B] 0.22-0.45 [C] 0.22-0.25 [D] 0.25-0.50

[

]

4 [

]

5 [

]

6

[A] 8 [B] 9 [C] 10 [D] 11

[

]

7

8 [

]

9

(10)

10 [

]

11 [

]

12 [

]

13 [

]

14 [

]

15 [

]

16 [

]

17

[A] 1 [B] 2 [C] 3 [D] 6

[

]

18

[A] Zero [B] -1 [C] +1 [D] 2

[

]

19

[A] 1D [B] 2D [C] 3D [D] 4D

[

]

20 [

]

1 [

]

2

[A] 1 [B] 2 [C] 3 [D] 6

[

]

3 [

]

4

[A] Zero [B] -1 [C] +1 [D] 2

[

]

5 [

]

6

[A] 1D [B] 2D [C] 3D [D] 4D

[

]

7 [

]

8

[A]

[]



[D] [B] A t [B]

[]



[D] [B] A t [C]

[]



[D] [B] A t [D]

[]

2

[D] [B]A t

[

]

9 [

]

10 [

]

11 [

]

12

[A] 8 [B] 9 [C] 10 [D] 11

[

]

13

(11)

14 [

]

15 [

]

16 [

]

17 [

]

18 [

]

19 [

]

20

[A] 0.25-0.33 [B] 0.22-0.45 [C] 0.22-0.25 [D] 0.25-0.50