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GATE2015-1-43

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A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength of the material is $100$ $MPa$, the factor of safety as per Tresca’s maximum shear stress theory is

  1. $1.0$
  2. $2.0$
  3. $2.5$
  4. $3.3$
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