Answer it

Problem $3(10$ points$)$:

sluft

toura

motined

The Figure shows a cylindrical shaft with a change in section through a fillet radius of $0\mathrm{.}8$ mm $.$ The shaft transmits an alternating torque $T=T_{0}sin(wt),$ where $T_0=3N.m,$ it is to be manufactured from a steel with $S_{ut}=800$MPa and is required to have a reliability of $99\mathrm{.}99\%$ against fatigue failure. Determine whether a machined shaft will meet this requirement, or whether it is necessary to grind the shaft.