1 Question 3: 2 The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings 3 shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take: AA = 1.55 BB = 0.85 8. CC = 1205 kN / m 2 kN-m/m 9 10 11 AA m CC Nm 12 B. 13 вB m 14 15 16 Solution: 17 18 Te CC N.m 19 20 TAB 21 CC Nm 22 Zooox N.m 23 24 25 26 CC N.m 27 28 The internal torque for segment BC is Constant T = cc NmHowever, 29 the internal for segment AB varies with x, 30 T-2000 x+ AA = 0; T = (2000 x-CC) Nm 31 The minimum shear stress occurs when the internal torque is zero in segment AB. 32 By setting T = 0 33 0 = (2000 x - C): Ans 34 35 And 36 d = AA - x = Ans 67
1 Question 3: 2 The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings 3 shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take: AA = 1.55 BB = 0.85 8. CC = 1205 kN / m 2 kN-m/m 9 10 11 AA m CC Nm 12 B. 13 вB m 14 15 16 Solution: 17 18 Te CC N.m 19 20 TAB 21 CC Nm 22 Zooox N.m 23 24 25 26 CC N.m 27 28 The internal torque for segment BC is Constant T = cc NmHowever, 29 the internal for segment AB varies with x, 30 T-2000 x+ AA = 0; T = (2000 x-CC) Nm 31 The minimum shear stress occurs when the internal torque is zero in segment AB. 32 By setting T = 0 33 0 = (2000 x - C): Ans 34 35 And 36 d = AA - x = Ans 67
Chapter2: Loads On Structures
Section: Chapter Questions
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Transcribed Image Text:1 Question 3:
2 The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings
3 shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the
4 shaft and specify their locations, measured from the fixed end A.
Take:
AA =
1.55
BB =
0.85
8.
CC =
1205
kN / m
2 kN-m/m
9
10
11
AA m
CC Nm
12
B.
13
вB m
14
15
16 Solution:
17
18
Te CC N.m
19
20
TAB
21
22
CC Nm
Zooox N.m
23
24
25
26
CC N.m
27
28 The internal torque for segment BC is Constant T = cc NmHowever,
29 the internal for segment AB varies with x,
30
T- 2000 x+ AA = 0; T = (2000 x-cC) Nm
31 The minimum shear stress occurs when the internal torque is zero in segment AB.
32 By setting T = 0
33
0 = (2000 x -C;
Ans
34
35 And
36
d = AA - x =
Ans
37
Ans
38
39 The maximum shear stress occurs when the internal torque is the greatest. This
40 occurs at fixed support A where
41
d =
Ans
m
42 At this location,
43
(T . = 2000 AA-cc =
44
45 The polar moment of inertia of the rod is
J-10.03*)= 0.40500 r.
2
46
47 Thus,
(Tan Dnu C (0.03 XTan nu
48
max
MPa
Ans
0.40 5(10 r
49
50
51
52
67
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