*9-64. Locate the centroid (, y) of the shaded area. y 1 in. 3 in 3 in. 3 in. Prob. 9-64 Ai= 3(3)/4.0in/ 3. 2 3 =(-3)+()- - y= 2)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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I looked up this problem for help and am confused with the part i circled in red. im blanking. why use the (4*3)/3(pi) and in the A4 (4*1)/3(pi)?

February 28, 2022
Assignment 5
Alfonso Serna
Problem:
Find: Locate the centroid of the
*9-64. Locate the centroid (x, y) of the shaded area.
shaded area.
y
Given: X -Z A:X;
Ź Ai
y= Ź Ai Yi
1 in.
- 3 in. 3 in.-
Ai
Prob. 9-64
Ai= 3(3)
/4.5in/
2
3 x3=191n?
Az=
3
%3D
t.5 y= 3
2
3
X.
(-3) +()
2=1.5
-4
Subtract
Ay= TTp?_(314) )
in
1.570796377
4
4
Xg= /4X3
3TJ
2
12. S6637061
X =0
9.424777961
4 4
IT T 9.424779961
y = 4x1
ラ
|, 273 23 9545
- 0,4244131816
Ž AiXi=
(4.5)-4)- -18
(9) 61.5)--13.5
(2.ou5X1.2732395us}8,9954 Gdoz
+ (1.570796327)(0) = c
ΣΑ:
E A,Y.
(4.5)(1)
(a)(.5) 13.5
(7,065%1.273.)9
+ f1.920796327|(0.4244131816)
4.5+9+
7.065+
4,5
Glist)
273239 545)8.9954
Gl67)
189942
ī 19
26.33
-22.S0456261
y=26,33
X = - 22, s0436261 -,184812114
-1.3857894
19
19
E 1.39
-1.18
Solution: x=-1.18in, y=1.39in
3.
2.
Transcribed Image Text:February 28, 2022 Assignment 5 Alfonso Serna Problem: Find: Locate the centroid of the *9-64. Locate the centroid (x, y) of the shaded area. shaded area. y Given: X -Z A:X; Ź Ai y= Ź Ai Yi 1 in. - 3 in. 3 in.- Ai Prob. 9-64 Ai= 3(3) /4.5in/ 2 3 x3=191n? Az= 3 %3D t.5 y= 3 2 3 X. (-3) +() 2=1.5 -4 Subtract Ay= TTp?_(314) ) in 1.570796377 4 4 Xg= /4X3 3TJ 2 12. S6637061 X =0 9.424777961 4 4 IT T 9.424779961 y = 4x1 ラ |, 273 23 9545 - 0,4244131816 Ž AiXi= (4.5)-4)- -18 (9) 61.5)--13.5 (2.ou5X1.2732395us}8,9954 Gdoz + (1.570796327)(0) = c ΣΑ: E A,Y. (4.5)(1) (a)(.5) 13.5 (7,065%1.273.)9 + f1.920796327|(0.4244131816) 4.5+9+ 7.065+ 4,5 Glist) 273239 545)8.9954 Gl67) 189942 ī 19 26.33 -22.S0456261 y=26,33 X = - 22, s0436261 -,184812114 -1.3857894 19 19 E 1.39 -1.18 Solution: x=-1.18in, y=1.39in 3. 2.
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