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The torsional assembly consists of solid 3.5 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 4.3 in. diameter bronze [G= 6,500 ksi] segment (2). Segment lengths are L₁ = L3 = 38 in. and L2 = 60 in. Concentrated torques of TB = 2To and Tc = To 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 To 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). L₁ L2 2To L3 (2) Answer: (a) To= (b) T₁ = T3 = (c) T₂ = (1) B kip-in ksi ksi ksi To (3) D

The torsional assembly consists of solid 3.5 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 4.3 in. diameter bronze [G= 6,500 ksi] segment (2). Segment lengths are L₁ = L3 = 38 in. and L2 = 60 in. Concentrated torques of TB = 2To and Tc = To 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 To 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). L₁ L2 2To L3 (2) Answer: (a) To= (b) T₁ = T3 = (c) T₂ = (1) B kip-in ksi ksi ksi To (3) D

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The torsional assembly consists of solid 3.5 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 4.3 in. diameter bronze [G = 6,500 ksi] segment (2). Segment lengths are L1 = L3 = 38 in. and L2 = 60 in. Concentrated torques of Tg = 2To and Tc = To 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 To 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 3.5 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 4.3 in. diameter bronze [G= 6,500 ksi] segment (2). Segment lengths are L₁ - L3 = 38 in. and L2 = 60 in. Concentrated torques of TB = 2To and Tc = To 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 To 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). LI L2 2To L3 Z (2) Answer: (a) To = (b) T₁ = T3 = (c) T2 = (1) B kip-in ksi ksi ksi To 3
Transcribed Image Text:The torsional assembly consists of solid 3.5 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 4.3 in. diameter bronze [G= 6,500 ksi] segment (2). Segment lengths are L₁ - L3 = 38 in. and L2 = 60 in. Concentrated torques of TB = 2To and Tc = To 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 To 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). LI L2 2To L3 Z (2) Answer: (a) To = (b) T₁ = T3 = (c) T2 = (1) B kip-in ksi ksi ksi To 3
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