HOMEWORK PROBLEMS
Week 9: Due Friday 11 November
1.
Find the distance
c
defining the centroid
C
of the symmetric beam section of Figure 1 and
hence find the centroidal second moment of area (moment of inertia)
I
x
for bending about a
horizontal axis.
C
c
100
50
15
15
15
all dimensions in mm
Figure 1
2.
The steel beam in Figure 2(a) is loaded by two equal forces
P
as shown. A strain gauge
located at the bottom of the section records a tensile strain
ε
x
=
0
.
6
×
10

3
. The crosssection
of the beam is shown in Figure 2(b). Determine the value of
P
. (
E
steel
=
210 GPa).
A
B
P
P
400
80
80
80
strain gauge
2
2
12
14
(a)
(b)
all dimensions in mm.
Figure 2
1
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Figure 3 shows a composite beam that is manufactured by bolting two 230
×
25 mm rect
angular plates to a standard Ibeam. The second moment of area of the Ibeam without the
stiffeners about the horizontal axis is 764
×
10
6
mm
4
.
Find the corresponding second moment of area of the composite beam.
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 Fall '07
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 Force, Moment Of Inertia, Second moment of area, Compressive stress

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