sm9 37

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PROBLEM (9.37) A circular shaft AB, simply supported on bearings at its ends, is subjected to
torque (T) and two loads (F1 , F2 ) acting as shown in Fig. P9.37. The shaft has diameter d = 2 in.
Determine:
(a) The maximum tensile stress.
(b) The maximum shear stress.
SOLUTION
and
0:0
y
F=
∑0
A
M
=
∑ yield
400 200
Ay By
R
lb R lb
=
=
150 300
Az Bz
R
lb R lb
=
=
12
22
12 2.25 12.2 .
C
M
kip in
=
+= ⋅
22
4.5 6 7.5 .
D
M
kip in
=
+= ⋅
10
T kip in.
=
⋅
Critical section is at C.
We have
33
16 16(10) 6.366
(2)
Tksi
d
τππ == =
(a) 33
32 32(12.2) 15.54
(2)
Mksi
d
σππ == =
(b) 22 2 2
max ( ) (7.77) (6.366)
2
σ
ττ
=+= + 10 ksi
=
My
(ki in )
Mz
(kip⋅in.)
p⋅.
x
x
2.25
6
B
D
A
B
4.5
C
A
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