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GATE Mechanical 2023 | Question: 16

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The principal stresses at a point $\mathrm{P}$ in a solid are $70 ~ \mathrm{MPa},-70 ~ \mathrm{MPa}$ and $0$. The yield stress of the material is $100 ~ \mathrm{MPa}$. Which prediction(s) about material failure at $\mathrm{P}$ is/are $\text{CORRECT?}$

  1. Maximum normal stress theory predicts that the material fails
  2. Maximum shear stress theory predicts that the material fails
  3. Maximum normal stress theory predicts that the material does not fail
  4. Maximum shear stress theory predicts that the material does not fail
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