sm9 30

_______________________________________________________________________
PROBLEM (9.30) Determine the maximum principal stress and the maximum shearing stress for a d
= 50-mm-diameter shaft in equilibrium shown in Fig. P9.30.
Assumption: The bearings at A and B are taken to be frictionless; they act as simple support.
SOLUTION
2.4
A
R
kN=
0.6 m
1.6
B
R
kN
=
4kN
A
B
0.4 m
mNTT ⋅=×==
∑400)2.0(102:0 3
3
16T
d
τ
π
=
C
3
32
x
M
d
σ
π
=
960)4.0(104.2 3
max =×== MMc
Equation (9.1):
22 2
1,2 33 33
32 16 16 16
()( ) (
2MM T 2
)
M
MT
dd dd
σππ ππ =± +− = ±+
22
3
16 (960 960 400 )
(0.05)
π
=± +6 10)373.42114.39( ±=
Thus,
MPaMPaMPa 4.4226.35.81 max21
=
−
==
τ
σ
σ
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