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A solid shaftshown belowis loaded in bending and torsionwith steady rotation. The total bending moment and torque diagrams are also given. The selected shaft

steel material has an ultimate tensile strength 𝑆𝑒𝑑=68π‘˜π‘π‘ π‘–, initial yield stress 𝑆𝑦=57π‘˜π‘π‘ π‘–, and fully corrected factorsforendurance limit,π‘˜π‘Žπ‘˜π‘π‘˜π‘π‘˜π‘‘π‘˜π‘’π‘˜π‘“=0.60.

(a)(6points) Determine the factor of safety at point D of the shaft using DE-ASME Ellipticcriterion.Assume 𝐾𝑓=1.8and 𝐾𝑓𝑠=2.4for point D.

(b) (2points)check the safety factor at point Ausing von Mises (or Distorson Energy)criterion

Sample Solution

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