A 50 mm diameter steel shaft and a 100 mm long steel cylindrical bushing with an outer diameter of 70 mm have been incorrectly shrink fit together and have to be separated. What axial force, Pa, is needed for this if the diametral interference is 0.005 mm and the coefficient of friction is 0.2? E (steel) = 207 x 103 MPa (N/mm2)

The axial force is  

Explanation:

From the question we are told that

     The diameter of the shaft steel is  

      The length of the cylindrical bushing  

     The outer diameter of the cylindrical bushing  is  

       The diametral interference is

       The coefficient of friction is  

       The Young modulus of  steel is  

The diametral interference is mathematically represented as

Where is the pressure (stress) on the two object held together  

     So making the subject

Substituting values

Now he axial force required is

Where A is the area which is mathematically evaluated as

So  

Substituting values

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