A 25 mm diameter steel rotating shaft in a machine with SUT = 420 MPa, S = 350 MPa is loaded as follows: $ = 25mm Rotating With M = 400 Nm, N == 250 N,T=350 Nm. a) Sketch the vs. t plot and the T vs. t plot. and ea. M N T b) Find If the shaft operates under 100 C, is machined, and requires a reliability of 90%. c) What is the safety factor for infinite life if the load increases proportionally? d) What is the safety factor if the shaft is made to last 104 cycles? Make sure you sketch the appropriate material fatigue failure diagram(s). Be sure to include numerical values, units, and label axes.