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 2.15 in. and a wall thickness of 0.2100 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 78 in., L₂ = 12 in., L3= 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB = 990 lb-ft, Tp = 450 lb-ft, and TE = 160 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) DE/A= L₁ C B L2 L3 psi rad rad 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 2.15 in. and a wall thickness of 0.2100 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 78 in., L₂ = 12 in., L3= 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB = 990 lb-ft, Tp = 450 lb-ft, and TE = 160 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) DE/A= L₁ C B L2 L3 psi rad rad D (4) LA E -X

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

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 2.15 in. and a wall thickness of 0.2100 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G=
11,500 ksi] shafts. The shaft lengths are L₁ = 78 in., L₂ = 12 in., L3 = 20 in., and L4 = 26 in. The torques applied to the shafts have
magnitudes of TB = 990 lb-ft, Tp = 450 lb-ft, and TE = 160 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) ΦΕΙΑ =
LI
(2)
B
psi
rad
rad
C
L3
D
(4)
LA
E
-X

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