A machine element is subjected to the following bi-axial state of stress:
σx=80 MPa σy=20 MPa; τxy=40 MPa.
If the shear strength of the material is 100 MPa, and the yield strength is 300 MPa, determine the factor of safety using
(a)Tresca’s Maximum-Shear-Stress Theory and
(b) von Mises’ Distortion Energy Theory.
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