A composite assembly consisting of a steel (G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L = 210 mm, D1 = 51,dy = 35 mm, d2 = 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in thesteel core. (b) the rotation angle of end B relative to end A. A (1) (2) T B L (1) d2 D1 Answers: (a) Talum MPa Tsteel = ! MPa (b) PB - PA = ! rad
A composite assembly consisting of a steel (G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L = 210 mm, D1 = 51,dy = 35 mm, d2 = 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in thesteel core. (b) the rotation angle of end B relative to end A. A (1) (2) T B L (1) d2 D1 Answers: (a) Talum MPa Tsteel = ! MPa (b) PB - PA = ! rad
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa]tube
(1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume l = 210 mm, D1= 51, d1 = 35 mm, d2
= 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine
(a) the maximum shear stress in the aluminum tube and in the steel core.
(b) the rotation angle of end B relative to end A.
A
(1)
(2)
B
L.
(1)
di
D
Answers:
(a) Talum =
i
! MPa
Tsteel =
i
! MPa
(b) Фв — ФА 3
! rad](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36df49b7-e4ea-4012-ad41-e181afa78cee%2F1e865591-5399-46b3-ada4-b3c0be55da11%2Ft0hdsb4h_processed.png&w=3840&q=75)
Transcribed Image Text:A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa]tube
(1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume l = 210 mm, D1= 51, d1 = 35 mm, d2
= 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine
(a) the maximum shear stress in the aluminum tube and in the steel core.
(b) the rotation angle of end B relative to end A.
A
(1)
(2)
B
L.
(1)
di
D
Answers:
(a) Talum =
i
! MPa
Tsteel =
i
! MPa
(b) Фв — ФА 3
! rad
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