CHAPTER 4: Macromechanics of a Laminate

4.1 Introduction

Learning Objectives: 

1) Introduce to macromechanics of a laminate

Review Chapter 2 before moving to Chapter 4 and 5 as it is critical to understand the rest of the course. Cannot emphasize it enough.

  1. Do you know how to relate stress and strain for unidirectional lamina?
  2. Do you know how to relate stress and strain for angle lamina? 
  3. Do you know how to go back and forth between global and local stresses? 
  4. Do you know how to go back and forth between global and local strains? 
  5. Do you know how to calculate elastic moduli of angle lamina? 
  6. Do you know how to apply the four failure theories to an angle lamina? 
  7. Do you know how to calculate coefficient of thermal expansion for an angle lamina? 
  8. Do you know how to calculate coefficient of moisture expansion for an angle lamina?

Videos

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Slide Shows

Introduction [PDF] [Slideshow]

Worked Out Examples

None

Handouts

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Flashcards

Introduction Slideshow

Quiz

Introduction [WATU] [HTML] [PDF]

4.2 Laminate Code

Learning Objectives:

1) Ability to write the stacking of lamina in a laminate code

2) Ability to expand laminate code

Videos

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Slide Shows

Laminate code [PDF] [Slideshow]

Worked Out Examples

None

Handouts

None

Flashcards

Laminate Code Slideshow

Quiz

Laminate Code [WATU] [HTML] [PDF]

4.3 Stress-Strain Relationships for a Laminate

Learning Objectives:

1) Develop relationships of mechanical loads applied to a laminate to strains and stresses in each lamina.

2) Develop relationships of hygrothermal loads applied to a laminate to strains and stresses in each lamina.

Videos

None

Slide Shows

Classical lamination theory [PDF] [Slideshow]

Strain to applied load relationship [PDF] [Slideshow]

Laminate analysis theory [PDF] [Slideshow]

Example of laminate analysis [PDF] [Slideshow]

Worked Out Examples

None

Handouts

None

Flashcards

Stress-Strain Relationships for a Laminate Slideshow

Quiz

Stress-Strain Relationships for a Laminate [WATU] [HTML] [PDF]

4.4 In-Plane and Flexural Modulus

Learning Objectives:

1) Find the in-plane elastic moduli of laminate based on the elastic moduli of individual laminae and the stacking sequence.

2) Find the flexural elastic moduli of laminate based on the elastic moduli of individual laminae and the stacking sequence.

Videos

None

Slide Shows

Laminate moduli theory [PDF] [Slideshow]

Laminate moduli example [PDF] [Slideshow]

Worked Out Examples

None

Handouts

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Flashcards

In-Plane and Flexural Modulus Slideshow

Quiz

In-Plane and Flexural Modulus [WATU] [HTML] [PDF]

4.5 Hygrothermal Effects in a Laminate

Learning Objectives:

1) Find the coefficients of moisture expansion of a laminate based on elastic moduli, coefficients of thermal and moisture expansion of individual laminae, and stacking sequence.

2) Find the coefficients of thermal expansion of a laminate based on elastic moduli, coefficients of thermal and moisture expansion of individual laminae, and stacking sequence.

Videos

None

Slide Shows

Hygrothermal loads on a laminate: Theory: [PDF] [Slideshow]

Hygrothermal loads on a laminate: Example: [PDF] [Slideshow]

Hygrothermal Expansion Coefficients of Laminate: [PDF] [Slideshow]

Worked Out Examples

None

Handouts

None

Flashcards

Hygrothermal Effects in a Laminate Slideshow

Quiz

Hygrothermal Effects in a Laminate [WATU] [HTML] [PDF]