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Stress analysis of structural material for the submarine gives the state of stress as shown in the figure. The yield strength of the material is 450 MPa. Using Von-mises yielding criteria determine whether yielding will occur or not? If not, what is the factor of safety?

Stress analysis of structural material for the submarine gives the state of stress as shown in the figure. The yield strength of the material is 450 MPa. Using Von-mises yielding criteria determine whether yielding will occur or not? If not, what is the factor of safety? Correct Answer Yielding will occur, and the factor of safety is 1.28

criteria for yielding is R.H.S should be greater than 450MPa σo = 1/√2 1/2 σ1=300 MPa, σ2=50 MPa, σ3=-100MPa R.H.S = 1/√2 1/2 => 1/√2 1/2 => 350MPa yield stress (σo=450MPa) is more than stress deviator so yielding will not occur. The factor of safety = 450/350 = 1.285.

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