L. L. 2d (1) 4d 2d + 27 3d D. 2d H. 37 (3) 21 The shaft system shown above is made up of shaft components (1), (2) and (3). Components (2) and (3) are solid with outer diameters of 2d and d, respectively, and lengths L and 2/., respectively. Component (1) is tubular with inner and outer diameters of d and 2d, respectively. Each component is made up of a material with a shear modulus of G. Shaft components (1) and (2) are connected through a meshing gear pair CD, and shaft components (2) and (3) are connected through a meshing gear pair DH. Torques of T, 27 and 37 act on the rigid gears C, D and H, respectively. For this problem, derive the three equations that are needed in solving for the shaft torques carried by components (1), (2) and (3). These equations should be written in terms only these three torques and the torque parameter T. Solve these equations for the component torques. TL Relevant equations: Ao=- GJ and J=".

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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Question
L.
2d
(1)
4d
2d
+ 27
3d
K
2d
H
3T
(3)
2L
The shaft system shown above is made up of shaft components (1), (2) and (3).
Components (2) and (3) are solid with outer diameters of 2d and d, respectively, and
lengths L and 2L, respectively. Component (1) is tubular with inner and outer diameters
of d and 2d, respectively. Each component is made up of a material with a shear modulus
of G. Shaft components (1) and (2) are connected through a meshing gear pair CD, and
shaft components (2) and (3) are connected through a meshing gear pair DH. Torques of
T, 27 and 3T act on the rigid gears C, D and H, respectively.
For this problem, derive the three equations that are needed in solving for the shaft
torques carried by components (1), (2) and (3). These equations should be written in
terms only these three torques and the torque parameter T. Solve these equations for the
component torques.
TL
Relevant equations: Ag =-
GJ
and J="
Transcribed Image Text:L. 2d (1) 4d 2d + 27 3d K 2d H 3T (3) 2L The shaft system shown above is made up of shaft components (1), (2) and (3). Components (2) and (3) are solid with outer diameters of 2d and d, respectively, and lengths L and 2L, respectively. Component (1) is tubular with inner and outer diameters of d and 2d, respectively. Each component is made up of a material with a shear modulus of G. Shaft components (1) and (2) are connected through a meshing gear pair CD, and shaft components (2) and (3) are connected through a meshing gear pair DH. Torques of T, 27 and 3T act on the rigid gears C, D and H, respectively. For this problem, derive the three equations that are needed in solving for the shaft torques carried by components (1), (2) and (3). These equations should be written in terms only these three torques and the torque parameter T. Solve these equations for the component torques. TL Relevant equations: Ag =- GJ and J="
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