Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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*9-64. Locate the centroid (x, y) of the shaded area. 3 in. 1 in. -3 in.- y 3 in. Prob. 9-64 -X
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Transcribed Image Text:*9-64. Locate the centroid (x, y) of the shaded area. 3 in. 1 in. -3 in.- y 3 in. Prob. 9-64 -X
8:31 upper section : =0 Section Area (in) X (in) ū (in) AX (in ³) Ay (in²³) 1265X(3) -45 7/3 (3)-2 1/3 (3)-1 9 4.5 40.5 13.5 51.41 9 2 3 1/2 cw pg. 496 (9-4) Compute the centroidal moment of inertia. 2 -12 9 1.5+3.45 1.5 4 (3) 3TT 4(1) 311 4-²/₂2 (343) 371 19 -+6 0.34K/s il O 6 1-9.42 -0.67 91.49 26.33 X = 91.47 = 4.82 in (from y-axis) 19 y = 2633 = 1.39 in (from X-axis) D 88%
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Transcribed Image Text:8:31 upper section : =0 Section Area (in) X (in) ū (in) AX (in ³) Ay (in²³) 1265X(3) -45 7/3 (3)-2 1/3 (3)-1 9 4.5 40.5 13.5 51.41 9 2 3 1/2 cw pg. 496 (9-4) Compute the centroidal moment of inertia. 2 -12 9 1.5+3.45 1.5 4 (3) 3TT 4(1) 311 4-²/₂2 (343) 371 19 -+6 0.34K/s il O 6 1-9.42 -0.67 91.49 26.33 X = 91.47 = 4.82 in (from y-axis) 19 y = 2633 = 1.39 in (from X-axis) D 88%
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Step 1: Given data
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Step 2: Finding the areas and centroidal distance of each section:-
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Step 3: Locating the centroids ( X,Y) of the given shared area:-
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