A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp=45 kip-in., and Tg-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress Tmax in the compound shaft. (b) Determine the rotation angle of flange C with respect to flange A. (c) Determine the rotation angle PFA of gear E with respect to flange A. Answers: (a) Tmax (b) ΦΟΛ = (C) PEJA= i E 11.48 -2.197 -2.74 (3) ksi. D Tp TE E
A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp=45 kip-in., and Tg-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress Tmax in the compound shaft. (b) Determine the rotation angle of flange C with respect to flange A. (c) Determine the rotation angle PFA of gear E with respect to flange A. Answers: (a) Tmax (b) ΦΟΛ = (C) PEJA= i E 11.48 -2.197 -2.74 (3) ksi. D Tp TE E
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which
have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi]
shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and Te-17 kip-in. The bearings shown allow the
shaft to turn freely.
(a) Determine the maximum magnitude of the shear stress max in the compound shaft.
(b) Determine the rotation angle
(c) Determine the rotation angle
of flange C with respect to flange A.
of gear E with respect to flange A.
Answers:
(a) Tmax
(b) CIA
(C) ΦΕΙΛ
=
=
e
5
11.48
i -2.197
= i -2.74
B
TB
L2
(3)
ksi.
Tp
TE
᾽Ε](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8209b3d5-f39b-4753-8582-d28823046294%2F3f61e8e5-7780-44f2-be33-92f6742364f2%2Fv5fopks_processed.png&w=3840&q=75)
Transcribed Image Text:A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which
have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi]
shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and Te-17 kip-in. The bearings shown allow the
shaft to turn freely.
(a) Determine the maximum magnitude of the shear stress max in the compound shaft.
(b) Determine the rotation angle
(c) Determine the rotation angle
of flange C with respect to flange A.
of gear E with respect to flange A.
Answers:
(a) Tmax
(b) CIA
(C) ΦΕΙΛ
=
=
e
5
11.48
i -2.197
= i -2.74
B
TB
L2
(3)
ksi.
Tp
TE
᾽Ε
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