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F
1
F
2
F
3
F
4
F
5
6.4
Problem 8.27
Find the area & centroid of the T section
At
20 mm
⋅
4
⋅
mm
⋅
16 mm
⋅
4
⋅
mm
⋅
+
144 mm
2
=
:=
y
bar
20 mm
⋅
4
⋅
mm
⋅
2
⋅
mm
⋅
16 mm
⋅
4
⋅
mm
⋅
12
⋅
mm
⋅
+
At
:=
y
bar
6.444 mm
=
Find total Moment of Inertia
I
x
2 144 mm
2
⋅
55.6 mm
⋅
y
bar
+
()
2
⋅
146 mm
2
⋅
55 mm
⋅
6.4 mm
⋅
−
2
⋅
+
...
⎡
⎢
⎣
⎤
⎥
⎦
⋅
:=
I
x
1.798
10
6
×
mm
4
=
Let
V1
N
⋅
:=
q
1
V
I
x
144
⋅
mm
2
⋅
55.6 mm
⋅
y
bar
+
⋅
4.968
N
m
=
:=
q
2
q
1
V
I
x
146
⋅
mm
2
⋅
55 mm
⋅
6.4 mm
⋅
−
⋅
+
8.914
N
m
=
:=
F
1
q
1
y
bar
0.3 mm
⋅
+
⋅
0.034 N
=
:=
F
2
q
1
55 mm
⋅
6.4 mm
⋅
−
⋅
0.241 N
=
:=
F
3
q
1
6.4 mm
⋅
0.3 mm
⋅
+
⋅
0.033 N
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 Spring '10
 MechanicsofSolids
 Moment Of Inertia

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