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

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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