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 2.40 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 58 in., L2 = 16 in., L3 = 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb·ft, TD = 430 lb·ft, and TE = 170 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 2.40 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 58 in., L2 = 16 in., L3 = 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb·ft, TD = 430 lb·ft, and TE = 170 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.
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, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.40 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 58 in., L2 = 16 in., L3 = 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb·ft, TD = 430 lb·ft, and TE = 170 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 2.40 in. and a wall thickness of 0.1375 in.
Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 58 in.,
L2 = 16 in., L3= 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb-ft, TD=
430 lb-ft, and TE = 170 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
faci
(2) (3)
(4)
E
B
L2
L3
L4
Answer:
(a) Tmax
(b) Фc/A =
=
(c) ΦΕ/Α
L₁
psi
rad
rad
-X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b9298ea-8b91-482e-9272-fa743bf090cf%2F711f8fbc-1846-4270-9715-fc56c4bf91a5%2Fao3lb9c_processed.jpeg&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 2.40 in. and a wall thickness of 0.1375 in.
Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 58 in.,
L2 = 16 in., L3= 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb-ft, TD=
430 lb-ft, and TE = 170 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
faci
(2) (3)
(4)
E
B
L2
L3
L4
Answer:
(a) Tmax
(b) Фc/A =
=
(c) ΦΕ/Α
L₁
psi
rad
rad
-X
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