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FIGURES FOR CHAPTER 12

REVIEW OF CENTROIDS AND MOMENTS OF INERTIA. FIGURES FOR CHAPTER 12. Click the mouse or use the arrow keys to move to the next page. Use the ESC key to exit this chapter. FIG. 12-1 Plane area of arbitrary shape with centroid C. FIG. 12-2 Area with one axis of symmetry.

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FIGURES FOR CHAPTER 12

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  1. REVIEW OF CENTROIDS AND MOMENTS OF INERTIA FIGURES FORCHAPTER 12 Click the mouse or use the arrow keys to move to the next page. Use the ESC key to exit this chapter.

  2. FIG. 12-1Plane area of arbitrary shape with centroid C

  3. FIG. 12-2Area with one axis of symmetry

  4. FIG. 12-3Area with two axes of symmetry

  5. FIG. 12-4 Area that is symmetric about a point

  6. FIG. 12-5 Example 12-1. Centroid of a parabolic semisegment

  7. FIG. 12-6Centroid of a composite area consisting of two parts

  8. FIG. 12-7Composite areas with a cutout and a hole

  9. FIG. 12-8Example 12-2. Centroid of a composite area

  10. FIG. 12-9Plane area of arbitrary shape

  11. FIG. 12-10Moments of inertia of a rectangle

  12. FIG. 12-11Composite areas

  13. FIG. 12-12 Example 12-3. Moments of inertia of a parabolic semisegment

  14. FIG. 12-13 Derivation of parallel-axis theorem

  15. FIG. 12-14 Plane area with two parallel noncentroidal axes (axes 1-1 and 2-2)

  16. FIG. 12-15 Example 12-4. Parallel-axis theorem

  17. FIG. 12-16Example 12-5. Moment of inertia of a composite area

  18. FIG. 12-17 Plane area of arbitrary shape

  19. FIG. 12-18Polar moment of inertia of a circle

  20. FIG. 12-19Plane area of arbitrary shape

  21. FIG. 12-20 The product of inertia equals zero when one axis is an axis of symmetry

  22. FIG. 12-21Plane area of arbitrary shape

  23. FIG. 12-22 Parallel-axis theorem for products of inertia

  24. FIG. 12-23Example 12-6. Product of inertia of a Z-section

  25. FIG. 12-24Rotation of axes

  26. FIG. 12-25 Rectangle for which every axis (in the plane of the area) through point O is a principal axis

  27. FIG. 12-26Examples of areas for which every centroidal axis is a principal axis and the centroid C is a principal point

  28. FIG. 12-27 Geometric representation of Eq. (12-30)

  29. FIG. 12-28Example 12-7. Principal axes and principal moments of inertia for aZ-section

  30. PROBS. 12.3-2 and 12.5-2

  31. PROBS. 12.3-3, 12.3-4, and 12.5-3

  32. PROBS. 12.3-5 and 12.5-5

  33. PROBS. 12.3-6, 12.5-6, and 12.7-6

  34. PROBS. 12.3-7, 12.4-7, 12.5-7, and 12.7-7

  35. PROB. 12.3-8

  36. PROB. 12.4-6

  37. PROB. 12.4-8

  38. PROB. 12.5-4

  39. PROB. 12.5-8

  40. PROB. 12.7-3

  41. PROB. 12.7-4

  42. PROB. 12.8-1

  43. PROB. 12.8-2

  44. PROBS. 12.8-4 and 12.9-4

  45. PROBS. 12.8-5, 12.8-6, 12.9-5, and 12.9-6

  46. PROB. 12.9-1

  47. PROB. 12.9-2

  48. PROB. 12.9-3

  49. PROB. 12.9-7

  50. PROBS. 12.9-8 and 12.9-9

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