The element in Fig. 1 is located at the inner edge of a hub that has been press-fitted on...

The element in Fig. 1 is located at the inner edge of a hub that has been press-fitted on a shaft. Stress σr or p is equal to −40 MPa, and stress σt is equal to 70 MPa.

(a) Find the Fs by maximum shear theory if the hub is made of steel with a yield point value of 400 MPa.

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(b) Find the Fs if the hub is made of cast iron, with σult = 170 MPa and σuc = 680 MPa.

Figure 1