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Example 4

The two-stage shaft was permanently attached to the left end and loaded with moments of 30 and 70 kNm as shown in the drawing. Assume G = 80 GPa. Calculate and draw diagrams of torsional moments, tangential stresses and torsion angle: \ (M (x), \ tau (x), \ varphi (x) \). The allowable twist angle \ (\ varphi_ {dop} = 0.2 \ ^ o/m \). Determine the bar diameter D.

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