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16 cm 8 cm 8 cm 8 cm -X

16 cm 8 cm 8 cm 8 cm -X

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Locate the centroid of the shaded area shown. Draw the figure with the centroid.  (KINDLY FOLLOW THE SAMPLE SOLUTION PROVIDED)

16 cm 8 cm 8 cm 8 cm -X
Transcribed Image Text:16 cm 8 cm 8 cm 8 cm -X
2. Locate the centroid of the shaded area shown. Divide the area into regular geometric shapes. Make sure the centroids of the geometric shapes can be identified. 12" a, in². (1/2)(12)(6)=36 (12)(6)=72 -(1/2)(12)(6)=-36 A=72 Part Total Σαχ 360 A x = 5" 9=Eay=4722 ỹ= 6" x, in 4 6 6 12" The area can be divided into three parts as shown, with the unshaded triangle as a negative area since it is not part of the shaded area. y, in ax, in³ 8 (36)(4)=144 3 (72)(6)=432 ay, in³ (36) (8)=288 (72)(3)=216 (-36) (2)=-72 432 2 (-36) (6)=-216 360
Transcribed Image Text:2. Locate the centroid of the shaded area shown. Divide the area into regular geometric shapes. Make sure the centroids of the geometric shapes can be identified. 12" a, in². (1/2)(12)(6)=36 (12)(6)=72 -(1/2)(12)(6)=-36 A=72 Part Total Σαχ 360 A x = 5" 9=Eay=4722 ỹ= 6" x, in 4 6 6 12" The area can be divided into three parts as shown, with the unshaded triangle as a negative area since it is not part of the shaded area. y, in ax, in³ 8 (36)(4)=144 3 (72)(6)=432 ay, in³ (36) (8)=288 (72)(3)=216 (-36) (2)=-72 432 2 (-36) (6)=-216 360
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