In the gear system shown, the motor applies a 190 lb-ft torque to the gear at A. A torque of Tc=392 lb-ft is removed from the shaft at gear C, and the remaining torque is removed at gear D. Assume that D₂-4-in.-diameter, DB-12-in.-diameter, L₁=56 in., and L₂-30 in. Segments (1) and (2) are solid 1.5-in.-diameter steel [G= 12200 ksi] shafts, and the bearings shown allow free rotation of the shaft. Determine: (a) the maximum shear stresses T₁, T₂ in segments (1) and (2) of the shaft. (b) the rotation angle D/B of gear D relative to gear B. ᎠᏴ . DA B L₁ (1) Tc L2 Ⓡ Tp D

In the gear system shown, the motor applies a 190 lb-ft torque to the gear at A. A torque of Tc=392 lb-ft is removed from the shaft at gear C, and the remaining torque is removed at gear D. Assume that D₂-4-in.-diameter, DB-12-in.-diameter, L₁=56 in., and L₂-30 in. Segments (1) and (2) are solid 1.5-in.-diameter steel [G= 12200 ksi] shafts, and the bearings shown allow free rotation of the shaft. Determine: (a) the maximum shear stresses T₁, T₂ in segments (1) and (2) of the shaft. (b) the rotation angle D/B of gear D relative to gear B. ᎠᏴ . DA B L₁ (1) Tc L2 Ⓡ Tp D

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

In the gear system shown, the motor applies a 190 lb-ft torque to the gear at A. A torque of Tc = 392 lb-ft is removed from the shaft at
gear C, and the remaining torque is removed at gear D. Assume that DA-4-in.-diameter, Dg=12-in.-diameter, L₁=56 in., and L₂-30 in.
Segments (1) and (2) are solid 1.5-in.-diameter steel [G = 12200 ksi] shafts, and the bearings shown allow free rotation of the shaft.
Determine:
(a) the maximum shear stresses T₁, T₂ in segments (1) and (2) of the shaft.
(b) the rotation angle D/B of gear D relative to gear B.
Answers:
(a) T₁
(b) D/B =
=
i
ᎠᏴ ;
A DA
i
B
L₁
Tc
amala
ksi, T₂ =
L2
i
Tp
D
ksi.

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