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Calculating shear stress, power and angle of twist in steel shaft.?

A steel shaft 1000 mm long and 60 mm outside diameter. It is bored to an internal diameter of 30 mm for 400 mm of its length, into which is pressed and bonded a brass shaft of 30 mm diameter. The remainder of the shaft is solid steel. The maximum torque transmitted by the shaft is 10 kNm. The shear modulus G of the steel is 86 GN/m2. The shear modulus G of the brass is 48 GN/m2. Calculate.

1. The maximum shear stress in the steel shaft
2. The maximum shear stress in the brass core.
3. The total angle of twist of the entire shaft at maximum torque expressed in degrees
4. The maximum power that can be transmitted if the shaft rotates at 1400 rpm

Diagram

http://i40.tinypic.com/30lks1v.jpg

Any help, hints or suggestions about what formula or approach i should use will be greatly appreciated as my lecturer gave me the question without the answer or solution and i’m finding it difficult.

Sorry i can`t help you.

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