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Machine Design
Design Against Static Load
GATE 2017
Medium

The principal stresses at a point in a critical section of a machine component are σ₁=60 MPa, σ₂=5 MPa and σ₃=−40 MPa. For the material of the component, the tensile yield strength is σy=200 MPa. According to the maximum shear stress theory, the factor of safety is

  • A1.67
  • 2.00
  • C3.60
  • D4.00

Explanation

Maximum shear stress theory: FOS = σy/(σmax−σmin) = 200/(60−(−40)) = 200/100 = 2.00.

Source: GATE ME 2017 Session 2 (ME-2) (2017)

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