$[$b$].$ A machined axle having a diameter of $15$ mm is made of steel characterized by $\backslash (\backslash$mathrm$\{$S$\}\_\{\backslash$mathrm$\{$ut$\}\}=\backslash )360$ MPa $.$ Using corrected endurance limit value, determine the fatigue strength of the axle that is subjected to $100,000$ cycles of completely reversed rotating bending. Assume room temperature operation and a reliability of $\backslash (90\backslash \%\backslash ).$

$[$c$].$ Carry out the calculations of case $[$b$]$ assuming a fully reversed but non$-$rotating bending of the axle and determine the for fatigue strength for infinite life. All other assumptions are same as in part $[$b$].$

$[2$ marks$].$