A lathe attachment is to be designed to induce beneficial residual stresses at s

Question

A lathe attachment is to be designed to induce beneficial residual stresses at shaft fillets by cold rolling as shown in Figure 3. The hardened steel roller has a diameter of 2 in. and a tip radius of 1/4 in. For a steel shaft where d = 3 in., D = 4 in., and fillet radius r = 5/16 in. determine the minimum required roller force to produce yielding at the fillet surface where work hardening has raised the yield strength to 200 kpsi in compression: (a) when the roller is at the shaft end of the fillet and (b) when the roller axis is turned 90 degree to work the shoulder end of the fillet. (OC-1, 5).

Explanation / Answer

we can do it with the help of moment of inertia and net force is zero

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