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Problem 6.59
Given:
A wide flange steel Ibeam is 8.0 m long and dimensions shown.
The Ibeam is fixed at one end
and free at the other end.
A twisting moment of 7 kNm is applied at the free end.
Determine the maximum normal stress and maximum shear stress in the Ibeam and the rotation of the
free end.
Solution:
300 mm
270 mm
20 mm
15 mm
E
200 GPa
⋅
:=
G
77.5 GPa
⋅
:=
L
8m
⋅
:=
T
7000 N
⋅
m
⋅
:=
I
min
220
⋅
mm
⋅
270 mm
⋅
()
3
⋅
12
260 mm
⋅
15 mm
⋅
3
⋅
12
+
:=
I
min
6.568
10
5
−
×
m
4
=
J
1
3
2 270
⋅
mm
⋅
20 mm
⋅
3
⋅
260 mm
⋅
15 mm
⋅
3
⋅
+
⎣
⎦
⋅
1.733
10
6
−
×
m
4
=
:=
h
280 mm
⋅
:=
α
h
2
EI
min
⋅
JG
⋅
⋅
:=
α
1.385 m
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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
 Shear, Stress

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