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PROBLEM 9.42
Determine the moments of inertia
x
I
and
y
I
of the area shown with respect
to centroidal axes respectively parallel and perpendicular to side
AB
.
SOLUTION
By symmetry
0.9 in.
X
=
Have
A
Yy
A
= Σ
Where
()
1
1.8 in. 1.4 in.
1.8 in. 2.1in.
2
A
=+
( )
22
2.52
1.89 in
4.41 in
=
Then
( )
( )
2
3
4.41in
0.7 in. 2.52 in
2.1 in. 1.89 in
5.733 in
Y
=
or
1.3 in.
Y
=
Now
( ) ( )
12
x
xx
I
II
where
3
1
1
1.8 in. 1.4 in.
12
x
I
=
( )
2
24
2.52 in
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.
 Spring '08
 Jenkins
 Statics

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