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1. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-1
EML 3004C
Truss
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-Truss
2) Formulate finite element equation for Truss 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-Truss
2) Derive the finite element equation for Truss element
1/47

2. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-2
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 2/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

3. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-3
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 3/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

4. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-4
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 4/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

5. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-5
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 5/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

6. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-6
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 6/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

7. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-7
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 7/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

8. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-8
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 8/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

9. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-9
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 9/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

10. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-10
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 10/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss
The finite element analysis of truss structures is presented in this section.
Two dimensional trusses (or plane trusses) are treated in A typical plane
truss is shown in Fig.
A truss structure consists only of two-force members.
That is, every truss element is in direct tension or compression (Fig.).
In a truss, it is required that all loads and reactions are applied only at the
joints and that all members are connected together at their ends by
frictionless pin joints.

11. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-11
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 11/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss
Every engineering student has, in a course on statics. analyzed trusses using
the method of joints and the method of sections.
These methods while illustrating the fundamentals of statics, become
tedious when applied to large-scale statically indeterminate truss structures.
Further, joint displacements are not readily obtainable. The finite element
method on the other hand is applicable to statically determinate or
indeterminate structures alike.
The finite element method also provides joint deflections.

12. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-12
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 12/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss
Trigonometric Formula

13. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-13
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 13/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

14. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-14
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 14/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

15. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-15
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 15/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

16. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-16
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 16/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

17. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-17
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 17/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

18. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-18
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 18/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

19. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-19
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis19/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

20. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-20
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 20/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

21. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-21
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
21/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

22. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-22
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 22/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

23. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-23
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 23/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

24. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-24
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 24/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

25. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-25
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 25/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

26. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-26
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 26/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

27. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-27
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 27/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

28. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-28
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis 28/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

29. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-29
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis29/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

30. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-30
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
30/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

31. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-31
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
31/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

32. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-32
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
32/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

33. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-33
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
33/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

34. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-34
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
34/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

35. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-35
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
35/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

36. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-36
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
36/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

37. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-37
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
37/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

38. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-38
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
38/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

39. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-39
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
39/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

40. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-40
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
40/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

41. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-41
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
41/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

42. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-42
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
42/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

43. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-43
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
43/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

44. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-44
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
44/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

45. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-45
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
45/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

46. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-46
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
46/30
Unit-II- ME402 Finite Element Analysis- One dimensional problems
Truss

47. Namas Chandra
Introduction to Mechanical engineering
Hibbeler
Chapter 6-47
EML 3004C
Dr.M.SUBRAMANIAN 16ME 102 /Engineering Mechanics
ME402 Finite Element Analysis
Thank You
47/47
Unit-II- ME402 Finite Element Analysis- One dimensional problems