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PROBLEM 9.76
Using the parallelaxis theorem, determine the product of inertia of the
area shown with respect to the centroidal
x
and
y
axes.
SOLUTION
Symmetry implies
( )
1
0
xy
I
=
Using Sample Problem 9.6 and Equation 9.20, note that the orientation of A
2
corresponds to a 90° rotation of
the axes; thus
()
22
2
1
72
xy
I
bh
′′
=
Also, the orientation of A
3
corresponds to a 270° rotation of the axes; thus
3
1
72
I
=
Then
4
2
1
9 in.
6 in.
40.5 in
72
I
==
and
2
2
1
6 in.,
2 in.,
9 in. 6 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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