Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 7th Sem New 2172008 Finite Element Analysis Of Mechatronic Systems Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2172008 Date: 03/12/2018
Subject Name: Finite Element Analysis of Mechatronic Systems
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Explain Descretization in FEM. 03
(b) What are the merits and demerits of FEA? 04
(c) Explain the steps for solving problems using FEM. 07
Q.2 (a) Evaluate: FEA gives Approximate solution. 03
(b) For the spring assemblage with arbitrarily numbered nodes shown in
Figure & obtains (a) the global stiffness matrix, (b) the displacements of
nodes 3 and 4. Force P=5000N is applied at node 4 in X direction. The
spring constant K 1=1000N/mm, K 2=2000N/mm & k 3=3000N/mm.
04
(c) Discuss the different types of elements used in FEA with its
application.
07
OR
(c) Derive element stiffness matrix for 1D bar element. 07
Q.3 (a) Define local and global coordinate system in trusses. 03
(b) Give the practical application of axisymmetric elements. 04
(c) Find the displacement at each node and reaction forces for the two
member truss shown in fig. Assume EA to be constant for all
members.
07
OR
Q.3 (a) What are the conditions necessary to be followed for considering a
problem as axisymmetric?
03
(b) Source of error in FEA. 04
(c) Consider the bar as shown in fig. an axial load of 200 kN is applied at
point P. Take A1=2400 mm
2
, E1 =70 x 10
9
N/mm
2
, A2 = 600 mm
2
,
E2= 200 x 10
9
N/mm
2
. Calculate the following, (1) The nodal
displacement at point P, (2) Stress at each element.
07
Q.4 (a) Higher number of elements leads to getting a solution closer to the exact 03
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2172008 Date: 03/12/2018
Subject Name: Finite Element Analysis of Mechatronic Systems
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Explain Descretization in FEM. 03
(b) What are the merits and demerits of FEA? 04
(c) Explain the steps for solving problems using FEM. 07
Q.2 (a) Evaluate: FEA gives Approximate solution. 03
(b) For the spring assemblage with arbitrarily numbered nodes shown in
Figure & obtains (a) the global stiffness matrix, (b) the displacements of
nodes 3 and 4. Force P=5000N is applied at node 4 in X direction. The
spring constant K 1=1000N/mm, K 2=2000N/mm & k 3=3000N/mm.
04
(c) Discuss the different types of elements used in FEA with its
application.
07
OR
(c) Derive element stiffness matrix for 1D bar element. 07
Q.3 (a) Define local and global coordinate system in trusses. 03
(b) Give the practical application of axisymmetric elements. 04
(c) Find the displacement at each node and reaction forces for the two
member truss shown in fig. Assume EA to be constant for all
members.
07
OR
Q.3 (a) What are the conditions necessary to be followed for considering a
problem as axisymmetric?
03
(b) Source of error in FEA. 04
(c) Consider the bar as shown in fig. an axial load of 200 kN is applied at
point P. Take A1=2400 mm
2
, E1 =70 x 10
9
N/mm
2
, A2 = 600 mm
2
,
E2= 200 x 10
9
N/mm
2
. Calculate the following, (1) The nodal
displacement at point P, (2) Stress at each element.
07
Q.4 (a) Higher number of elements leads to getting a solution closer to the exact 03
2
one.
(b) Differentiate between spring, bar and beam elements from general and
application point of view.
04
(c) For the beam and loading shown in Fig . determine the deflections at
node 2 and 3.
Take: EI=400 x 10
3
N-m
2
07
OR
Q.4 (a) How does axisymmetry differ from planer symmetry? 03
(b) Differentiate between plane stress and plane strain analysis giving a
suitable example.
04
(c) A triangle plate of size 100
X 75 X 12.5mm is
subjected to the loads of
5000 N & 4000N, as shown
in fig. the modules of
elasticity and poisson?s
ratio for the plate material
are 2 x 10
5
N/mm
2
and 0.25
respectively. Model the
plate with CST element and
Determine the element
stiffness matrix.
07
Q.5 (a) Explain evaluation of eigenvalues and eigenvectors in dynamic
consideration
03
(b) Write down the expression of shape function N and displacement u for
one dimensional bar element.
04
(c) Discuss the importance of dynamics in Finite Element Analysis. Also
explain the different types of nonlinearities.
07
OR
Q.5 (a) What are the ways which a 3D problems can be reduced to a 2D
approach?
03
(b) Explain in brief : CST & LST 04
(c) Evaluate the shape function & Find the Jacobian matrices for triangle
shown in Fig.
07
*************
P (3.85,4.8)
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This post was last modified on 20 February 2020