Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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For the figure below i was able to find the correct answer, but I want to find the answer to the problem on the left. It is the same just that an 16mm * 8mm square is removed.

I know I can use my finding and subtract the rectangle using the formula under it. 

please show math please!

 

 

Determine the moments of inertia I, and Iy of the area shown about vertical and horizontal axes running through the centroid of the
area, if b= 42 mm.
А
Ale
The value of Ī, is
x
The value of Iy
is
42 mm
28 mm.
B
558
238
X
103 mm²
103 mm4.
mm4.
A
16mm
8mm
B
42mm
B
42mm
28mm
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Transcribed Image Text:Determine the moments of inertia I, and Iy of the area shown about vertical and horizontal axes running through the centroid of the area, if b= 42 mm. А Ale The value of Ī, is x The value of Iy is 42 mm 28 mm. B 558 238 X 103 mm² 103 mm4. mm4. A 16mm 8mm B 42mm B 42mm 28mm
Rectangle
X
Tx = 1/2 bh³
Ty ==b³h
12
1x = = bh³
1₂ = -b³h
Jc = = 2 bh(b²+h²)
12
expand button
Transcribed Image Text:Rectangle X Tx = 1/2 bh³ Ty ==b³h 12 1x = = bh³ 1₂ = -b³h Jc = = 2 bh(b²+h²) 12
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where do the centroid location formulas on step 2 come from?

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where do the centroid location formulas on step 2 come from?

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