Exam Details
Subject | finite element methods | |
Paper | ||
Exam / Course | computer science and engineering | |
Department | ||
Organization | Vardhaman College Of Engineering | |
Position | ||
Exam Date | December, 2017 | |
City, State | telangana, hyderabad |
Question Paper
Hall Ticket No:
Question Paper Code B3703
(AUTONOMOUS) M. Tech I Semester End Semester Regular Examinations, December 2017
(Regulations: VCE-R15) FINITE ELEMENT METHODS
(Engineering Design) Date: 27 December, 2017 FN
Time: 3 hours
Max Marks: 70
Answer any FIVE Questions
Each Question carries equal marks
1.
With suitable example explain boundary value problems.
4M
A simply supported beam is subjected to uniformly distributed load over the entire span as shown in Fig.1. Determine the bending moment and deflection using Rayleigh ritz method.
Fig.1
10M
2.
Determine the displacement, stresses and reaction force induced in an axially loaded stepped bar as shown in Fig.2. Take E=2.1 X 105 N/mm2, A1=50mm2, A2= 30mm2.
Fig.2
14M
3. The Fig.3 below shows a 2-Dimensional truss structure. Determine the displacement of all nodes and stresses in all the three bars using finite element method. Take E=200GPa, A=200mm2.
Fig.3
14M
4.
For the beam shown in Fig.4, determine displacement and slopes at the nodes, forces and reactions for each element.
Fig.4
14M
Cont…2
5.
What are axisymmetric problem? How does it reduce the problem size?
4M
Derive the shape function for a 4 noded quadrilateral element using Lagrange's method.
10M
6.
Explain one point formula in numerical integration.
7M
Compute using 2 point formula.
7M
7.
Write down the expression for element mass matrix for quadrilateral element.
7M
What is meant by a mode in dynamic analysis? Explain with an example.
7M
8.
Explain h-refinement and P-refinement of mesh.
8M
Write short notes Pascal's triangle.
6M
Question Paper Code B3703
(AUTONOMOUS) M. Tech I Semester End Semester Regular Examinations, December 2017
(Regulations: VCE-R15) FINITE ELEMENT METHODS
(Engineering Design) Date: 27 December, 2017 FN
Time: 3 hours
Max Marks: 70
Answer any FIVE Questions
Each Question carries equal marks
1.
With suitable example explain boundary value problems.
4M
A simply supported beam is subjected to uniformly distributed load over the entire span as shown in Fig.1. Determine the bending moment and deflection using Rayleigh ritz method.
Fig.1
10M
2.
Determine the displacement, stresses and reaction force induced in an axially loaded stepped bar as shown in Fig.2. Take E=2.1 X 105 N/mm2, A1=50mm2, A2= 30mm2.
Fig.2
14M
3. The Fig.3 below shows a 2-Dimensional truss structure. Determine the displacement of all nodes and stresses in all the three bars using finite element method. Take E=200GPa, A=200mm2.
Fig.3
14M
4.
For the beam shown in Fig.4, determine displacement and slopes at the nodes, forces and reactions for each element.
Fig.4
14M
Cont…2
5.
What are axisymmetric problem? How does it reduce the problem size?
4M
Derive the shape function for a 4 noded quadrilateral element using Lagrange's method.
10M
6.
Explain one point formula in numerical integration.
7M
Compute using 2 point formula.
7M
7.
Write down the expression for element mass matrix for quadrilateral element.
7M
What is meant by a mode in dynamic analysis? Explain with an example.
7M
8.
Explain h-refinement and P-refinement of mesh.
8M
Write short notes Pascal's triangle.
6M
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