1. Pendahuluan Material Komposit
BAB 4 Macromechanical Analysis of a Laminate
Laminate Modulus
Qomarul Hadi, ST,MT
Teknik Mesin
Universitas Sriwijaya
Sumber Bacaan
Mechanics of Composite Materials by Kaw

2. In-Plane and Flexural Modulus of a Laminate

3. In-Plane and Flexural Modulus of a Laminate
The [A*], [B*], and [D*] matrices are called the extensional compliance matrix, coupling compliance matrix, and bending compliance matrix respectively.

4. In-Plane Engineering Constants of a Laminate
For a symmetric laminate:

5. In-Plane Engineering Constants of a Laminate

6. In-Plane Engineering Constants of a Laminate

7. In-Plane Engineering Constants of a Laminate

8. In-Plane Engineering Constants of a Laminate

9. In-Plane Engineering Constants of a Laminate

10. In-Plane Engineering Constants of a Laminate

11. In-Plane Engineering Constants of a Laminate

12. Flexural Engineering Constants of a Laminate
[B] = 0

13. Flexural Engineering Constants of a Laminate

14. Flexural Engineering Constants of a Laminate

15. END

16. Pendahuluan Material Komposit
BAB 4 Macromechanical Analysis of a Laminate
Laminate Modulus: Example
Qomarul Hadi, ST,MT
Teknik Mesin
Universitas Sriwijaya
Sumber Bacaan
Mechanics of Composite Materials by Kaw

17. Example 4.4

18. Example 4.4

19. Example 4.4

20. Example 4.4

21. Example 4.4

22. Example 4.4

23. Example 4.4

24. END

25. Pendahuluan Material Komposit
BAB 4 Macromechanical Analysis of a Laminate
Hygrothermal Loads
Qomarul Hadi, ST,MT
Teknik Mesin
Universitas Sriwijaya
Sumber Bacaan
Mechanics of Composite Materials by Kaw

26. Mechanical Strains

27. Hygrothermal Stresses

28. Zero resultant stresses

29. Zero resultant stresses

30. Deriving final formula

31. Deriving final formula

32. Deriving final formula

33. Deriving final formula

34. Other three equations – from zero resultant moments

35. Final formula

36. Final formula

37. Example 4.5
Calculate the residual stresses at the bottom surface of the 90o ply in a two ply [0/90] Graphite/Epoxy laminate subjected to a temperature change of -75oC. Use the unidirectional properties of Graphite/Epoxy lamina from Table Each lamina is 5 mm thick.

38. Example 4.5

39. Example 4.5

40. Example 4.5

41. Example 4.5

42. Example 4.5

43. Example 4.5

44. Example 4.5

45. Example 4.5

46. Example 4.5

47. Global Strains for Example 4.3

48. Global Stresses for Example 4.3

49. Coefficients of Thermal and Moisture Expansion
To find coefficients of thermal and moisture expansion of laminates
Symmetric laminates [B] = 0
No bending occurs under thermal hygrothermal loads
Assuming ∆T = 1 and ∆C = 0

50. Coefficients of Thermal and Moisture Expansion
To find coefficients of thermal and moisture expansion of laminates
Symmetric laminates [B] = 0
No bending occurs under thermal hygrothermal loads
Assuming ∆T = 0 and ∆C = 1

51. Example 4.6

52. Example 4.6

53. Example 4.6
∆T = 1°C

54. Example 4.6

55. Example 4.6
∆C = 1 kg/kg

56. Example 4.6