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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

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No Slide Title6.pdf

  • 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