PROBLEM 9.80
Determine the moments of inertia and the product of inertia of the area of
Problem 9.72 with respect to new centroidal axes obtained by rotating the
x
and
y
axes 45° clockwise.
SOLUTION
From the solution to Problem 9.72
4
501.1875 in
xy
I
=
2
23
20.25 in
AA
==
First compute the moment of inertia
()
( ) ( ) ( ) ( )
123
2
3
with
x
xx x
x
x
I
II I
I
I
=++
=
(
)
(
)
33
11
12 in. 9 in.
2
9 in. 4.5in.
12
12
=+
( )
44
729
136.6875 in
865.6875 in
=
and
( ) ( ) ( ) ( ) ( )
2
3
with
yy
y
y
y
y
I
I
I
=
(
)
(
)
2
2
9 in. 12 in.
2
4.5 in. 9 in.
20.25 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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