The torsional assembly consists of solid 3.4 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 3.8 in. diameter bronze [G = 6,500 ksi] segment (2). Segment lengths are L1 = L3 = 36 in. and L2 = 62 in. Concentrated torques of TB = 2T0 and TC = T0 are applied to the assembly at B and C, respectively. If the rotation angle at joint B must not exceed 3.4°, determine: (a) the maximum magnitude of T0 that may be applied to the assembly. (b) the maximum shear stress magnitude in aluminum segments (1) and (3). (c) the maximum shear stress magnitude in bronze segment (2).
The torsional assembly consists of solid 3.4 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 3.8 in. diameter bronze [G = 6,500 ksi] segment (2). Segment lengths are L1 = L3 = 36 in. and L2 = 62 in. Concentrated torques of TB = 2T0 and TC = T0 are applied to the assembly at B and C, respectively. If the rotation angle at joint B must not exceed 3.4°, determine: (a) the maximum magnitude of T0 that may be applied to the assembly. (b) the maximum shear stress magnitude in aluminum segments (1) and (3). (c) the maximum shear stress magnitude in bronze segment (2).
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter7: Making Strong Materials
Section: Chapter Questions
Problem 49CQ
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Question
The torsional assembly consists of solid 3.4 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 3.8 in. diameter bronze [G = 6,500 ksi] segment (2). Segment lengths are L1 = L3 = 36 in. and L2 = 62 in. Concentrated torques of TB = 2T0 and TC = T0 are applied to the assembly at B and C, respectively. If the rotation angle at joint B must not exceed 3.4°, determine:
(a) the maximum magnitude of T0 that may be applied to the assembly.
(b) the maximum shear stress magnitude in aluminum segments (1) and (3).
(c) the maximum shear stress magnitude in bronze segment (2).
![N
LI
(1)
B
2To
L2
(2)
To
L3
C (3)
D
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6199cb81-7d99-40bf-aaee-291373d3dd46%2Fbffe96f0-5aa7-4eeb-b81c-4c3eded65eac%2Fqv70kja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:N
LI
(1)
B
2To
L2
(2)
To
L3
C (3)
D
X
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