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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 T₁ 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. (Tmas), is the same as the maximum shear stress in the core, (max)2- (d;)₁=d₂ sleeve (1) core (2)

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 T₁ 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. (Tmas), is the same as the maximum shear stress in the core, (max)2- (d;)₁=d₂ sleeve (1) core (2)

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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)1. is the same as the maximum shear stress in the core, (max)2. (d;)₁=d₂ sleeve (1) core P4.6-6, P4.6-7, P4.6-8, P4.6-9, P4.7-4, and P4.7-5 B
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)1. is the same as the maximum shear stress in the core, (max)2. (d;)₁=d₂ sleeve (1) core P4.6-6, P4.6-7, P4.6-8, P4.6-9, P4.7-4, and P4.7-5 B
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