1. Chapter 2 Macromechanical Analysis of a Lamina Review of Definitions 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. FIGURE 2.5 Stresses on infinitesimal area on an arbitrary plane

3. FIGURE 2.6 Forces on an infinitesimal area on the y-z plane

4. FIGURE 2.7 Stresses on an infinitesimal cuboid

5. FIGURE 2.8 Normal and shearing strains on an infinitesimal area in the x-y plane

6. u = u(x,y,z) = displacement in x-direction at point (x,y,z), v = v(x,y,z) = displacement in y-direction at point (x,y,z), w = w(x,y,z) = displacement in z-direction at point (x,y,z) Where:

7. Substituting

8. u = u(x,y,z) = displacement in x-direction at point (x,y,z), v = v(x,y,z) = displacement in y-direction at point (x,y,z), w = w(x,y,z) = displacement in z-direction at point (x,y,z) Where:

9. Substituting

10. Where:

12. Substituting

14. FIGURE 2.9 Cartesian coordinates in 3-D

16. Where: