Question

A machine element is subjected to the following bi-axial state of stress: σx=80 MPa σy=20 MPa;...

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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