Shaft Diameter Calculation: Stress Analysis Problem Solution

_______________________________________________________________________
PROBLEM (9.35) Resolve Prob. 9.34 for the case in which the allowable normal stress is not to
exceed all
σ
.
Given: a = 180 mm, r = 100 mm, T = 800 N
⋅
m, all
σ
= 120 MPa
SOLUTION
800
0: , 8
0.1
xT
TTFrF k
r
== ===
∑N
0:
z
F
=
∑
4
2
BD
F
R
Rk===N
4(0.18) 720
C
M
Nm
=
=⋅
Critical section is at C.
33
32 16
M
T
dd
στ
π
π
==
Therefore
22
1()
22
all
σσ
σ
στ ==+ +
from which
22 2 2
3
36
16 16
( ) (720 720 800 )
(120 10 )
all all
dM MT
πσ π
=++= ++
×
m=
m)
= 0.0424 42.4
mm
T
(N⋅
x
x
M
(N⋅m)
z
800
0
a
B
D
72
A
C
F
x
a
R
B
R
D
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