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EML 4230 Introduction to Composite Materials

EML 4230 Introduction to Composite Materials. Chapter 4 Macromechanical Analysis of a Laminate Hygrothermal Loads Dr . Autar Kaw Department of Mechanical Engineering University of South Florida, Tampa, FL 33620 Courtesy of the Textbook Mechanics of Composite Materials by Kaw.

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EML 4230 Introduction to Composite Materials

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  1. EML 4230 Introduction to Composite Materials Chapter 4 Macromechanical Analysis of a Laminate Hygrothermal Loads Dr. Autar Kaw Department of Mechanical Engineering University of South Florida, Tampa, FL 33620 Courtesy of the Textbook Mechanics of Composite Materials by Kaw

  2. Mechanical Strains

  3. Hygrothermal Stresses

  4. Zero resultant stresses

  5. Zero resultant stresses

  6. Deriving final formula

  7. Deriving final formula

  8. Deriving final formula

  9. Deriving final formula

  10. Other three equations – from zero resultant moments

  11. Final formula

  12. Final formula

  13. 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 2.1. Each lamina is 5 mm thick.

  14. Example 4.5

  15. Example 4.5

  16. Example 4.5

  17. Example 4.5

  18. Example 4.5

  19. Example 4.5

  20. Example 4.5

  21. Example 4.5

  22. Example 4.5

  23. Example 4.5 Global Strains for Example 4.3

  24. Example 4.5 Global Stresses for Example 4.3

  25. 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 (4.62) (4.72)

  26. 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

  27. Example 4.6 Find the coefficients of thermal and moisture expansion of a Graphite/Epoxy laminate. Use the properties of unidirectional Graphite/Epoxy lamina from table 2.1.

  28. Example 4.6

  29. Example 4.6 ∆T = 1°C

  30. Example 4.6

  31. Example 4.6 ∆C = 1 kg/kg

  32. Example 4.6

  33. END

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