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Strength of Materials
Stress & Strain
GATE 2018
Easy

If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

  • A(σ1+σ3)/2
  • (σ1−σ3)/2
  • C√((σ1+σ3)/2)
  • D√((σ1−σ3)/2)

Explanation

The maximum shear stress at a point equals half the difference between the largest and smallest principal stresses: τmax = (σ1−σ3)/2.

Source: GATE ME 2018 Session 1 (Set 1) (2018)

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