6 cm 12 cm Activate Windows
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Find the product of inertia of the shaded area shown in the figure about the specified x and y axes. (KINDLY FOLLOW SAMPLE SOLUTION PROVIDED)

Transcribed Image Text:Y
6 cm
12 cm
-X
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Transcribed Image Text:7. Find the product of inertia of the shaded area
shown in the figure about the specified X and Y
axes.
Pay for the rectangle and semicircle is zero because each shape
has an axis of symmetry.
Parts
Area, in²
Pin
Rectangle
18
Triangle
9
Semicircle
14.14
Σ
40.5
Pxy = Pxy + Axy
= -4.5+ 99.13
Pxy = 94.63 in
0
(3)²(6)²
72
0
- 4.5
= -4.50
X, in
1.5
4
1.27
y, in
2
3
Axy, in
81
72
-53.87
99.13
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