# Lecture 26 - 1/4 π r 2 = 38.48 4r/3 π = 2.97 114.33 4r/3...

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ENGR-1100 Introduction to Engineering Analysis Lecture 26 Notes courtesy of: Prof. Yoav Peles

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Homework Assignment (due next class) Problem 5-32 Problem 5-35 Problem 5-38
Today Lecture outline Composite areas

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= = n i i i y dA x M 1 i i i dA x dM = = A i i y dA x M Distributed area: the moment about a point
x y b a Composite areas = = = = = = + = = b x a x a x x b x x dA dA dA A 0 0 rect tri A A + = [ ] rect c tri c Ax Ax A ) ( ) ( 1 + = = = = b x x c xdA A X 0 1 + = = = = = b x a x a x x xdA xdA A 0 1

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x y b a = = = = n i i i n i i A Xc A Xc A A 1 1 1 Composite body
( 29 ( 29 ( 29 [ ] cir rect tri cir rect tri XcA XcA XcA A Xc A A A A - + = - + = 1 x y b a = + x y b a y x Composite body

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Example 5-39 Locate the centroid of the composite area shown in the Figure.

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My Mx 1 Rectangle 7x7 = 49.00 -a/2 = -3.50 -171.50 a/2 = 3.50 171.50 2 Quadrant

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Unformatted text preview: 1/4 π r 2 = 38.48 4r/3 π = 2.97 114.33 4r/3 π = 2.97 114.33 3 Rectangle 7x7 = 49.00 a/2 = 3.50 171.50-a/2 = -3.50 -171.50 4 Triangle 1/2x7x7 = 24.50-a/3 = -2.33-57.17-a/3 = -2.33-57.17 5 Circle-π *3x3 =-28.27 0.00 0.00 0.00 0.00 Total 132.71 0.431 57.17 0.431 57.17 Area X-bar Y-bar Shape X = Y = Class assignment: Exercise set 5-40 Locate the centroid of the composite area shown in the Figure. Class assignment: Exercise set 5-41 Locate the centroid of the slender rod shown in the Figure....
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Lecture 26 - 1/4 π r 2 = 38.48 4r/3 π = 2.97 114.33 4r/3...

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