Problem 6.5
A hollow aluminum shaft (G=27 GPa) is subjected to torques as shown.
Determine
(a) the maximum shear stress in the shaft
(b) the angle of twist of the free end of the shaft.
Solution:
0
A
B
C
z
(a)
From B to C
T
BC
14
−
kN
⋅
m
⋅
:=
From A to B
T
AB
29 kN
⋅
m
⋅
T
BC
+
:=
T
AB
15 kN m
⋅
⋅
=
From 0 to A
T
0A
25
−
kN
⋅
m
⋅
T
AB
+
:=
T
0A
10
−
kN m
⋅
⋅
=
The maximum shearing stress occurs in the section with the largest torque
r5
0
m
m
⋅
:=
J
π
32
100 mm
⋅
()
4
80 mm
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 Spring '10
 MechanicsofSolids
 Force, Shear Stress, Shear, Stress, maximum shear stress, maximum shearing stress, ollow aluminum shaft

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