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PROBLEM 9.101
Using Mohr’s circle, determine for the area indicated the orientation of
the principal centroidal axes and the corresponding values of the
moments of inertia.
Area of Problem 9.74
SOLUTION
From Problems 9.74 and 9.83
6
4
6
4
6
4
0.166
10
mm ,
0.453
10
mm ,
0.1596
10
mm
x
y
xy
I
I
I
=
×
=
×
= −
×
Define points
(
)
(
)
6
4
6
4
0.166,
0.1596
10
mm
and
0.453,
0.1596
10
mm
X
Y
−
×
−
×
Now
(
)
(
)
6
4
ave
1
1
0.166
0.453
10
mm
2
2
x
y
I
I
I
=
+
=
+
×
6
4
0.3095
10
mm
=
×
and
(
)
(
)
2
2
6
2
2
6
0.166
0.453 10
0.1596
10
2
2
x
y
xy
I
I
R
I
−
−
=
+
=
+
−
×
6
4
0.21463
10
mm
=
×
Also
(
)
1
1
2
2
0.1596
2
tan
tan
48.04
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- Spring '08
- Jenkins
- Statics
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