ME 221 Statics - PowerPoint PPT Presentation

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ME 221 Statics

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ME 221 Statics Lecture #15 Section 4.3 Homework #5 Chapter 3 ... Integration of areas may be accomplished by the use of either single integrals or double integrals. – PowerPoint PPT presentation

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Title: ME 221 Statics


1
ME 221 Statics Lecture 15Section 4.3
2
Homework 5
  • Chapter 3 problems
  • 48, 51, 55, 61, 62, 65, 71, 72 75
  • May use MathCAD, etc. to solve
  • Due today

3
Homework 6
  • Chapter 4 problems
  • 10, 11, 18, 24, 39, 42, 43 47
  • Must use integration methods to solve
  • Due Monday, October 14

4
Quiz 4
  • Wednesday, October 9

5
Last Lecture
  • The concepts of distributed loads, centroids and
    center of gravity were presented.

6
Centroid of an Area
  • Geometric center of the area
  • Average of the first moment over the entire area
  • Where

7
Centroid of an Area
  • Is then defined as an integral over the area.
  • Integration of areas may be accomplished by the
    use of either single integrals or double
    integrals.

8
Centroid of a Volume
  • Geometric center of the volume
  • Average of the first moment over entire volume
  • In vector notation

9
Examples
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