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6161103 10.10 chapter summary and review


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6161103 10.10 chapter summary and review

  1. 1. Chapter SummaryArea Moment of Inertia Represent second moment of area about an axis Frequently used in equations related to strength and stability of structural members or mechanical elements If the area shape is irregular, a differential element must be selected and integration over the entire area must be performed Tabular values of the moment of inertia of common shapes about their centroidal axis are available
  2. 2. Chapter SummaryArea Moment of Inertia To determine moment of inertia of these shapes about some other axis, parallel axis theorem must be used If an area is a composite of these shapes, its moment of inertia = sum of the moments of inertia of each of its partsProduct of Inertia Determine location of an axis about which the moment of inertia for the area is a maximum or minimum
  3. 3. Chapter SummaryProduct of Inertia If the product of inertia for an area is known about its x’, y’ axes, then its value can be determined about any x, y axes using the parallel axis theorem for product of inertiaPrincipal Moments of Inertia Provided moments of inertia are known, formulas or Mohr’s circle can be used to determine the maximum or minimum or principal moments of inertia for the area, as well as orientation of the principal axes of inertia
  4. 4. Chapter SummaryMass Moments of Inertia Measures resistance to change in its rotation Second moment of the mass elements of the body about an axis For bodies having axial symmetry, determine using wither disk or shell elements Mass moment of inertia of a composite body is determined using tabular values of its composite shapes along with the parallel axis theorem
  5. 5. Chapter Review
  6. 6. Chapter Review
  7. 7. Chapter Review
  8. 8. Chapter Review