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Mechanical Engineering QUESTION #2499
Question 1
For triaxial principal stresses ordered as \(\sigma_1 > \sigma_2 > \sigma_3\), the absolute maximum shear stress is:
  • \(\tau_{max} = \frac{\sigma_1 - \sigma_2}{2}\)
  • \(\tau_{max} = \frac{\sigma_2 - \sigma_3}{2}\)
  • \(\tau_{max} = \frac{\sigma_1 - \sigma_3}{2}\)✔️
  • \(\tau_{max} = \frac{\sigma_1 + \sigma_3}{2}\)
Correct Answer Explanation
In triaxial stress state with \(\sigma_1 > \sigma_2 > \sigma_3\), the maximum is \(\tau_{max}=\tau_{1/3}=(\sigma_1-\sigma_3)/2\).