Prob. 4.6-6. As illustrated in Fig. P4.6-6, a composite shaftof length L is made by shrink-fitting a sleeve (element 1)over a solid core (element 2). A torsional load T, is appliedto 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 ratioof diameters (d/d): (a) if the torque T₁ is evenly dividedbetween the sleeve and the core, and (b) if the maximumshear stress in the sleeve. (Tmax), is the same as the maximumshear 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

According to the problem, the shaft is parallel connection, G2>G1 The polar moment of inertia…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Pressure and Stress

Question

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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