Solve Problem 4.10 using the octahedral shear-stress criterion.
Problem 4.10
A member made of steel (E = 200 GPa and ν = 0.29) is subjected to a state of plane strain (ϵzz = ϵxz = ϵyz = 0) when the design loads are applied. At the critical point in the member, three of the stress components are σxx = 60 MPa, σyy = 240 MPa, and σxy = −80 MPa. The material has a yield stress Y = 490 MPa. Based on the maximum shear-stress criterion, determine the factor of safety used in the design.
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