50 mm 150 mm 150 mm 300 mm *
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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Question

Transcribed Image Text:50 mm
150 mm 150 mm
300 mm
find the moment of inertia for this
exercise, with the following formulas:
Polar
Jo= Iox +
+ Toy
Iox - Icx + Adg²
Toy = Icg + dobe ²
Caculation of centroid attached below. use it
to solve the question in red box asap
Som
Av
3com
for Portion A₁ -
the figure is symme
about y-aris.
2=0.
AL
120mm
AALD
Area of A₁ = 300x50
= 15000
Y₁ = y₁
y
= 300
for Pation A2
Area Az
= 50x300
= 15000
By Considering Centroid, from the Bottom of the section.
300+ 50 = ₁ + 3/2
= 325
Centroid (ā, y) =
= [0₁
SE
= 50mm
A, Ya+ A₂4
0,
A₁+A₂
15000x150 +15000x325
15000 15000
(0.237.5)
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