A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G= 6,500 ksi] tubes, which have an outside diameter of 2.20 in. and a wall thickness of 0.1675 in. Segments (3) and (4) are solid 1.20-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L₁ = 46 in., L₂ = 16 in., L3 = 17 in., and L4 = 35 in. The torques applied to the shafts have magnitudes of TB = 950 lb-ft, TD=480 lb-ft, and TE= 90 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate: (a) the magnitude of the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange A. (c) the rotation angle of gear E with respect to flange A. TB TD (1) TE (3) Answer: (a) Tmax= (b) DC/A= (c) ΦΕΙΔ = L₁ B L2 psi rad rad L3 D (4) LA E x
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G= 6,500 ksi] tubes, which have an outside diameter of 2.20 in. and a wall thickness of 0.1675 in. Segments (3) and (4) are solid 1.20-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L₁ = 46 in., L₂ = 16 in., L3 = 17 in., and L4 = 35 in. The torques applied to the shafts have magnitudes of TB = 950 lb-ft, TD=480 lb-ft, and TE= 90 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate: (a) the magnitude of the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange A. (c) the rotation angle of gear E with respect to flange A. TB TD (1) TE (3) Answer: (a) Tmax= (b) DC/A= (c) ΦΕΙΔ = L₁ B L2 psi rad rad L3 D (4) LA E x
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.20 in. and a wall thickness of 0.1675 in. Segments (3) and (4) are solid 1.20-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 46 in., L2 = 16 in., L3 = 17 in., and L4 = 35 in. The torques applied to the shafts have magnitudes of TB = 950 lb·ft, TD = 480 lb·ft, and TE = 90 lb·ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate:
(a) the magnitude of the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to flange A.
(c) the rotation angle of gear E with respect to flange A.
![A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G= 6,500 ksi] tubes,
which have an outside diameter of 2.20 in. and a wall thickness of 0.1675 in. Segments (3) and (4) are solid 1.20-in.-diameter steel [G =
11,500 ksi] shafts. The shaft lengths are L₁ = 46 in., L₂ = 16 in., L3 = 17 in., and L4 = 35 in. The torques applied to the shafts have
magnitudes of TB = 950 lb-ft, Tp=480 lb-ft, and TE = 90 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn
freely. Using the sign convention presented in Section 6.6., calculate:
(a) the magnitude of the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to flange A.
(c) the rotation angle of gear E with respect to flange A.
TB
TD
(1)
TE
(3)
| A
Answer:
(a) Tmax=
(b) DC/A=
(c) ΦΕΙΑ
=
L₁
B
psi
rad
rad
L3
D
(4)
LA
E
-X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0340ab0c-e54f-482a-bc54-4a3b868cdaba%2Fb6a46363-f14f-4847-8f51-c8ae3cd90f75%2F9797x9_processed.png&w=3840&q=75)
Transcribed Image Text:A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G= 6,500 ksi] tubes,
which have an outside diameter of 2.20 in. and a wall thickness of 0.1675 in. Segments (3) and (4) are solid 1.20-in.-diameter steel [G =
11,500 ksi] shafts. The shaft lengths are L₁ = 46 in., L₂ = 16 in., L3 = 17 in., and L4 = 35 in. The torques applied to the shafts have
magnitudes of TB = 950 lb-ft, Tp=480 lb-ft, and TE = 90 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn
freely. Using the sign convention presented in Section 6.6., calculate:
(a) the magnitude of the maximum shear stress in the compound shaft.
(b) the rotation angle of flange C with respect to flange A.
(c) the rotation angle of gear E with respect to flange A.
TB
TD
(1)
TE
(3)
| A
Answer:
(a) Tmax=
(b) DC/A=
(c) ΦΕΙΑ
=
L₁
B
psi
rad
rad
L3
D
(4)
LA
E
-X
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