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The composite shaft consists of three sections: 1) a solid brass core, 2) a middle steel tube, and 3) an outer aluminium tube. The brass core (Gb= 39 GPa) has a diameter of 50 mm. The steel tube (Gs= 77 GPa) has an inner diameter of 50 mm and an outer diameter of 75 mm. The aluminium tube (Ga = 27 GPa) has an inner diameter of 75 in. and an outer diameter of 88 mm. The three materials are bonded together so they act as a single unit, and the total length of the shaft is 500 mm. A torque T is imposed at the ends. The maximum shearing stress in the brass is limited to 25 MPa.
Find the largest Torque that can be applied.
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