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Strength of Materials
Stress & Strain
GATE 2010
Medium

The state of plane-stress at a point is given by σx=-200 MPa, σy=100 MPa and τxy=100 MPa. The maximum shear stress (in MPa) is

  • A111.8
  • B150.1
  • 180.3
  • D223.6

Explanation

τmax=√[((σx-σy)/2)²+τxy²]=√[((-200-100)/2)²+100²]=√(150²+100²)=√32500≈180.3 MPa.

Source: GATE ME 2010 (2010)

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