H.W.1: A solid circular steel shaft having an outside diameter of d-0.75 in. is subjected to a pure torque of T- 650 lb-in. Deter- mine the maximum shear stress in the shaft.
H.W.1: A solid circular steel shaft having an outside diameter of d-0.75 in. is subjected to a pure torque of T- 650 lb-in. Deter- mine the maximum shear stress in the shaft.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![41 O
O On vo 11:14
Torsion Part 1.pdf →
H.W.1: A solid circular steel shaft having an outside diameter of
d= 0.75 in. is subjected to a pure torque of T = 650 lb-in. Deter-
mine the maximum shear stress in the shaft.
H.W.2: A hollow aluminum shaft with an outside diameter of
80 mm and a wall thickness of 5 mm has an allowable shear stress
of 75 MPa. Determine the maximum torque T that may be applied
to the shaft.
H.W.3: A hollow steel shaft with an outside diameter of 100 mm
and a wall thickness of 10 mm is subjected to a pure torque of
T= 5,500 N-m.
(a) Determine the maximum shear stress in the hollow shaft.
(b) Determine the minimum diameter of a solid steel shaft for
which the maximum shear stress is the same as in part (a) for
the same torque T.
26
H.W.4:A solid 0.75-in.-diameter shaft is subjected to the torques
shown in Figure
freely.
- The bearings shown allow the shaft to turn
(a) Plot a torque diagram showing the internal torque in
segments (1), (2), and (3) of the shaft. Use the sign coven
tion presented in Section 6.6.
(b) Determine the maximum shear stress magnitude in the shaft.
10 Ib-f
50 Ibit
70 Ib-ft
(1)
(2)
30 Ib ft
FIGURE
27
H.W.5: A compound shaft drives several pulleys, as shown in
Figure
low aluminum [G - 4,000 ksi] tubes, which have an outside diam-
eter of 3.00 in. and a wall thickness of 0.125 in. Segments (3) and
(4) are solid 1.50-in.-diameter steel [G - 12,000 ksi] shafts. The
bearings shown allow the shaft to tum freely. Calculate
Segments (1) and (2) of the compound shaft are hol-
(a) the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to pulley A.
(c) the rotation angle of pulley E with respect to pulley A.
650 Ib-n
825 Ib-n
(1)
270 Ib-ft
(2)
(3)
95 Ib-ft
(4)
72 in.
36 in
4 in
54 in
FIGURE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F990bdf5a-e172-4356-a7b2-7a49d1530b95%2F544a980a-0d23-4bc2-99aa-b8754dc6b2e9%2F4b7j5ub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:41 O
O On vo 11:14
Torsion Part 1.pdf →
H.W.1: A solid circular steel shaft having an outside diameter of
d= 0.75 in. is subjected to a pure torque of T = 650 lb-in. Deter-
mine the maximum shear stress in the shaft.
H.W.2: A hollow aluminum shaft with an outside diameter of
80 mm and a wall thickness of 5 mm has an allowable shear stress
of 75 MPa. Determine the maximum torque T that may be applied
to the shaft.
H.W.3: A hollow steel shaft with an outside diameter of 100 mm
and a wall thickness of 10 mm is subjected to a pure torque of
T= 5,500 N-m.
(a) Determine the maximum shear stress in the hollow shaft.
(b) Determine the minimum diameter of a solid steel shaft for
which the maximum shear stress is the same as in part (a) for
the same torque T.
26
H.W.4:A solid 0.75-in.-diameter shaft is subjected to the torques
shown in Figure
freely.
- The bearings shown allow the shaft to turn
(a) Plot a torque diagram showing the internal torque in
segments (1), (2), and (3) of the shaft. Use the sign coven
tion presented in Section 6.6.
(b) Determine the maximum shear stress magnitude in the shaft.
10 Ib-f
50 Ibit
70 Ib-ft
(1)
(2)
30 Ib ft
FIGURE
27
H.W.5: A compound shaft drives several pulleys, as shown in
Figure
low aluminum [G - 4,000 ksi] tubes, which have an outside diam-
eter of 3.00 in. and a wall thickness of 0.125 in. Segments (3) and
(4) are solid 1.50-in.-diameter steel [G - 12,000 ksi] shafts. The
bearings shown allow the shaft to tum freely. Calculate
Segments (1) and (2) of the compound shaft are hol-
(a) the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to pulley A.
(c) the rotation angle of pulley E with respect to pulley A.
650 Ib-n
825 Ib-n
(1)
270 Ib-ft
(2)
(3)
95 Ib-ft
(4)
72 in.
36 in
4 in
54 in
FIGURE
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