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Problem 7.29
Given:
An extruded bar of aluminum has the cross section
shown.
A 2.10m length of this bar is used as a simple beam
on a
span of 2.0 m
.
A concentrated load of P = 5.0 kN is
applied at midlength of the span and makes an angle of
φ
= 1.4
rad with the x axis.
Find:
The maximum tensile and compressive stresses.
A6
0
m
m
⋅
10
⋅
mm
⋅
3
⋅
20 mm
⋅
10
⋅
mm
⋅
+
2000 mm
2
⋅
=
:=
Centroid relative to lower right hand corner
x
0
60 mm
⋅
10
⋅
mm
⋅
40
⋅
mm
⋅
60 mm
⋅
10
⋅
mm
⋅
5
⋅
mm
⋅
+
60 mm
⋅
10
⋅
mm
⋅
30
⋅
mm
⋅
+
20 mm
⋅
10
⋅
mm
⋅
55
⋅
mm
⋅
+
A
28 mm
⋅
=
:=
y
0
60 mm
⋅
10
⋅
mm
⋅
5
⋅
mm
⋅
60 mm
⋅
10
⋅
mm
⋅
30
⋅
mm
⋅
+
60 mm
⋅
10
⋅
mm
⋅
65
⋅
mm
⋅
+
20 mm
⋅
10
⋅
mm
⋅
50
⋅
mm
⋅
+
A
35 mm
⋅
=
:=
I
x
60 mm
⋅
10 mm
⋅
()
3
⋅
12
60 mm
⋅
10
⋅
mm
⋅
y
0
5mm
⋅
−
2
⋅
+
10 mm
⋅
60 mm
⋅
3
⋅
12
+
60 mm
⋅
10
⋅
mm
⋅
y
0
30 mm
⋅
−
2
⋅
+
60 mm
⋅
10 mm
⋅
3
⋅
12
60 mm
⋅
10
⋅
mm
⋅
y
0
65 mm
⋅
−
2
⋅
+
10 mm
⋅
20 mm
⋅
3
⋅
12
+
20 mm
⋅
10
⋅
mm
⋅
y
0
50 mm
⋅
−
2
⋅
+
+
...
1.337
10
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This note was uploaded on 01/11/2011 for the course MAE 3040 taught by Professor Mechanicsofsolids during the Spring '10 term at Utah State University.
 Spring '10
 MechanicsofSolids

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