Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 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 2019
Subject Code: 2172008 Date: 30/11/2019
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.
Q.1 (a) Define FEA? List the advantages of using Finite Element Analysis 03
(b) What do you understand by Discretization? Discuss the factors to be considered
for discretizing the domain.
04
(c) Discuss the importance of a shape function. Derive the shape function for a spring
element highlighting its significance.
07
Q.2 (a) Discuss the applications of Finite Element Method. 03
(b) Using potential energy approach find the nodal displacements, forces in each
element and the reactions for the spring assemblage shown in below figure
04
(c) For the two-bar truss shown in Figure, determine the displacement in the y
direction of node 1 and the axial force in each element. Let E = 210 GPa and A
= 6 x 10
-4
m
2
for each element. The lengths of the elements are shown in the
figure.
07
OR
(c) For the plane truss shown in Figure, determine the displacements and reactions.
Let E = 210 GPa, A = 6 x 10
-4
m
2
for elements 1 and 2, and A = 6 ?2 x 10
-4
m
2
for element 3.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2172008 Date: 30/11/2019
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.
Q.1 (a) Define FEA? List the advantages of using Finite Element Analysis 03
(b) What do you understand by Discretization? Discuss the factors to be considered
for discretizing the domain.
04
(c) Discuss the importance of a shape function. Derive the shape function for a spring
element highlighting its significance.
07
Q.2 (a) Discuss the applications of Finite Element Method. 03
(b) Using potential energy approach find the nodal displacements, forces in each
element and the reactions for the spring assemblage shown in below figure
04
(c) For the two-bar truss shown in Figure, determine the displacement in the y
direction of node 1 and the axial force in each element. Let E = 210 GPa and A
= 6 x 10
-4
m
2
for each element. The lengths of the elements are shown in the
figure.
07
OR
(c) For the plane truss shown in Figure, determine the displacements and reactions.
Let E = 210 GPa, A = 6 x 10
-4
m
2
for elements 1 and 2, and A = 6 ?2 x 10
-4
m
2
for element 3.
07
2
Q.3 (a) Discuss the conditions necessary for solving a problem using Axisymmetric
element.
03
(b) List and explain the rules for selecting a displacement function. 04
(c) Determine the nodal displacements and rotations and the global and element
forces for the beam shown in Figure. The beam is fixed at node 1, has a roller
support at node 2, and has an elastic spring support at node 3. A downward
vertical force of P = 50 kN is applied at node 3. Let E = 210 GPa and I = 2
10
-4
m
4
throughout the beam, and let k = 200 kN/m.
07
OR
Q.3 (a) ?Understanding computer aided design is mandatory for FEA?. Evaluate 03
(b) Discuss the different types of elements used for discretization with specific
examples and applications.
04
(c) Determine the displacement and rotation at node 2 and the element forces for the
uniform beam with an internal hinge at node 2 shown in Figure. Let EI be a
constant.
07
Q.4 (a) Explain the different types of nonlinearities with appropriate examples. 03
(b) Discuss the role of dynamics in analyzing structures using FEA. 04
(c) Compare and Contrast: Plane stress and Plane strain conditions with suitable
example.
07
OR
Q.4 (a) State and explain different types of boundary conditions used in FEA 03
(b) Explain the principle of minimum potential energy with a suitable example. 04
(c) Discuss the Isoparametric formulation for a bar element
07
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2172008 Date: 30/11/2019
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.
Q.1 (a) Define FEA? List the advantages of using Finite Element Analysis 03
(b) What do you understand by Discretization? Discuss the factors to be considered
for discretizing the domain.
04
(c) Discuss the importance of a shape function. Derive the shape function for a spring
element highlighting its significance.
07
Q.2 (a) Discuss the applications of Finite Element Method. 03
(b) Using potential energy approach find the nodal displacements, forces in each
element and the reactions for the spring assemblage shown in below figure
04
(c) For the two-bar truss shown in Figure, determine the displacement in the y
direction of node 1 and the axial force in each element. Let E = 210 GPa and A
= 6 x 10
-4
m
2
for each element. The lengths of the elements are shown in the
figure.
07
OR
(c) For the plane truss shown in Figure, determine the displacements and reactions.
Let E = 210 GPa, A = 6 x 10
-4
m
2
for elements 1 and 2, and A = 6 ?2 x 10
-4
m
2
for element 3.
07
2
Q.3 (a) Discuss the conditions necessary for solving a problem using Axisymmetric
element.
03
(b) List and explain the rules for selecting a displacement function. 04
(c) Determine the nodal displacements and rotations and the global and element
forces for the beam shown in Figure. The beam is fixed at node 1, has a roller
support at node 2, and has an elastic spring support at node 3. A downward
vertical force of P = 50 kN is applied at node 3. Let E = 210 GPa and I = 2
10
-4
m
4
throughout the beam, and let k = 200 kN/m.
07
OR
Q.3 (a) ?Understanding computer aided design is mandatory for FEA?. Evaluate 03
(b) Discuss the different types of elements used for discretization with specific
examples and applications.
04
(c) Determine the displacement and rotation at node 2 and the element forces for the
uniform beam with an internal hinge at node 2 shown in Figure. Let EI be a
constant.
07
Q.4 (a) Explain the different types of nonlinearities with appropriate examples. 03
(b) Discuss the role of dynamics in analyzing structures using FEA. 04
(c) Compare and Contrast: Plane stress and Plane strain conditions with suitable
example.
07
OR
Q.4 (a) State and explain different types of boundary conditions used in FEA 03
(b) Explain the principle of minimum potential energy with a suitable example. 04
(c) Discuss the Isoparametric formulation for a bar element
07
3
Q.5 (a) During discretization, mention the places where it is necessary to place a node.
Justify your answer
? Concentrated load acting point
? Cross-section changing point
? Different material inters ections
03
(b) State whether plane stress or plane strain elements can be used to model the
following structures. Justify your answer.
a) A wall subjected to wind load
b) A wrench subjected to a force in the plane of the wrench.
04
(c) Given that E=210 GPa and I=4?10
-4
m
4
, cross section of the beam is constant.
Determine the deflection and slope at point B. calculate the reaction forces and
moments.
07
OR
Q.5 (a) Explain Constant Strain Triangle. 03
(b) FEA leads to obtaining an approximate solution. Explain. 04
(c) Discuss the differences between CST and LST with examples. 07
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This post was last modified on 20 February 2020