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GATE 2016 CE (CE2) – Question 42

Solid Mechanics · Transformation of stress, Mohr circle · 2 marks · Multiple choice

For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa. The shear stress τ is

Diagram for GATE 2016 CE (CE2) question 42
  1. 10.0 MPa
  2. 5.0 MPa
  3. 2.5 MPa
  4. 0.0 MPa

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Show answer and explanation

Correct answer: (B) 5.0 MPa

Explanation

With equal normal stresses σx=σy=5MPa, the Mohr-circle centre is5MPa and radius is |τ|. Major principal stress is therefore5+|τ|. Setting it to10 gives |τ|=5MPa. Thus **5.0MPa, B**.