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olid core (element 2). A torsiona haft at end A, and end B is fix > G₁, and express your answers in s ratio G₂/G₁. Determine expre eters (d/d): (a) if the torque n the sleeve and the core, and ( ress in the sleeve. (Tmax), is the sa ress in the core, (max)2-

olid core (element 2). A torsiona haft at end A, and end B is fix > G₁, and express your answers in s ratio G₂/G₁. Determine expre eters (d/d): (a) if the torque n the sleeve and the core, and ( ress in the sleeve. (Tmax), is the sa ress in the core, (max)2-

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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Prob. 4.6-6. As illustrated in Fig. P4.6-6, a composite shaft of length L is made by shrink-fitting a sleeve (element 1) over a solid core (element 2). A torsional load T, is applied to the shaft at end A, and end B is fixed against rotation. Let G₂ > G₁, and express your answers in terms of the shear- modulus ratio G₂/G₁. Determine expressions for the ratio of diameters (d/d): (a) if the torque T₁ is evenly divided between the sleeve and the core, and (b) if the maximum shear stress in the sleeve. (Tmax), is the same as the maximum shear stress in the core, (max)2- sleeve (1) core (2) P4.6-6, P4.6-7, P4.6-8, P4.6-9, P4.7-4, and P4.7-5
Transcribed Image Text:Prob. 4.6-6. As illustrated in Fig. P4.6-6, a composite shaft of length L is made by shrink-fitting a sleeve (element 1) over a solid core (element 2). A torsional load T, is applied to the shaft at end A, and end B is fixed against rotation. Let G₂ > G₁, and express your answers in terms of the shear- modulus ratio G₂/G₁. Determine expressions for the ratio of diameters (d/d): (a) if the torque T₁ is evenly divided between the sleeve and the core, and (b) if the maximum shear stress in the sleeve. (Tmax), is the same as the maximum shear stress in the core, (max)2- sleeve (1) core (2) P4.6-6, P4.6-7, P4.6-8, P4.6-9, P4.7-4, and P4.7-5
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