6 cm 12 cm Activate Windows

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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)

Y
6 cm
12 cm
-X
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Transcribed Image Text:Y 6 cm 12 cm -X Activate Windows
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
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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