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Engineering
Civil Engineering
100 mm 140 mm 50 mm 140 mm -200 mm-

100 mm 140 mm 50 mm 140 mm -200 mm-

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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y 100 mm 140 mm 50 mm 140 mm -200 mm x
Transcribed Image Text:y 100 mm 140 mm 50 mm 140 mm -200 mm x
3. Locate the centroid of the shaded area in the figure, created by cutting a semicircle of diameter r from a quarter circle of radius r. 0 x, in Part Quarter y, in a, in². TY2 4r 4r circle Semicircle 3π 4r T 6πt Total A * = 0.636r ỳ = 0.349. TC A = 0.25³ 0.393r2 0.1373 0.39372 2 Tr² 8 Tr 8 = 0.393r² 2 ax, in³ #r²/4r 3. 4 r²/4r 8 бл 3r³ = 0.25r³ 12 TY 4 πr 8 ay, in³ (7) 3π 0.1371³ example solution TY 16
Transcribed Image Text:3. Locate the centroid of the shaded area in the figure, created by cutting a semicircle of diameter r from a quarter circle of radius r. 0 x, in Part Quarter y, in a, in². TY2 4r 4r circle Semicircle 3π 4r T 6πt Total A * = 0.636r ỳ = 0.349. TC A = 0.25³ 0.393r2 0.1373 0.39372 2 Tr² 8 Tr 8 = 0.393r² 2 ax, in³ #r²/4r 3. 4 r²/4r 8 бл 3r³ = 0.25r³ 12 TY 4 πr 8 ay, in³ (7) 3π 0.1371³ example solution TY 16
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