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1. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-1
EML 3004C
Beam Element
Session objectives
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Dr.M.SUBRAMANIAN ME402 Finite Element Analysis
At the end of this session, the learner will be able to
1) Understand the concept of stiffness matrix-Beam element
2) Formulate finite element equation for Beam element
Teaching learning material
•Board/White Board and Markers
•Presentation/PPT
Learning Outcome
Students should be able to
1) Understand the significance of concept of stiffness matrix-Beam
2) Derive the finite element equation for beam element
1/34
2. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-2
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
2/34
3. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-3
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
3/34
4. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-4
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
4/34
5. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-5
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
5/34
6. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-6
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
6/34
7. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-7
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
7/34
8. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-8
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
8/34
9. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-9
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
9/34
10. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-10
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam Element
10/34
11. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-11
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
11/34
12. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-12
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
12/34
13. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-13
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
13/34
14. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-14
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss
14/34
15. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-15
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss
15/34
16. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-16
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
16/34
17. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-17
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
17/34
18. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-18
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
18/34
19. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-19
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
19/34
20. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-20
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
20/34
21. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-21
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
21/34
22. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-22
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
22/34
23. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-23
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
23/34
24. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-24
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
24/34
25. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-25
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
25/34
26. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-26
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
26/34
27. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-27
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
27/34
28. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-28
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
28/34
29. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-29
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
29/34
30. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-30
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
30/34
31. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-31
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
31/34
32. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-32
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
32/34
33. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-33
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Beam element
33/34
34. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-34
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Thank You
34/34
Unit-II- ME402 Finite Element Analysis- One dimensional problems