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Lecture 14 sect 4.3

Lecture 14 sect 4.3 - – Where = A c xdA A x 1 = A c...

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ME 221 Lecture 14 1 ME 221 Statics Lecture #14 Section 4.3
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ME 221 Lecture 14 2 Homework #5 Chapter 3 problems: May use MathCAD, etc. to solve Due Friday
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ME 221 Lecture 14 3 Homework #6 Chapter 4 problems: Must use integration methods to solve Due Wednesday, October 8
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ME 221 Lecture 14 4 Quiz #4 Monday, October 6 Exam #2 Friday, October 10
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ME 221 Lecture 14 5 Last Lecture: The concepts of distributed loads, centroids and center of gravity were presented.
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ME 221 Lecture 14 6 Centroid of an Area Geometric center of the area Average of the first moment over the entire area
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Unformatted text preview: – Where: ∫ = A c xdA A x 1 ∫ = A c ydA A 1 y ∫ = A dA A ME 221 Lecture 14 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. ME 221 Lecture 14 8 Centroid of a Volume • Geometric center of the volume – Average of the first moment over entire volume – In vector notation: ∫ = V c xdV V 1 x ∫ = V c ydV V 1 y ∫ = V rdV V 1 r c ∫ = V c zdV V 1 z ME 221 Lecture 14 9 Examples...
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Lecture 14 sect 4.3 - – Where = A c xdA A x 1 = A c...

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