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GATE2017 ME-2: 37

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The principal stresses at a point in a critical section of a machine component are $\sigma _{1}=60$ MPa, $\sigma _{2}=5$ MPa and $\sigma _{3}=-40$ MPa. For the material of the component, the tensile yield strength is $\sigma _{y}=200$ MPa. According to the maximum shear stress theory, the factor of safety is

  1. $1.67$
  2. $2.00$
  3. $3.60$
  4. $4.00$

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