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If $\sigma_1$ and $\sigma_3$ are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

  1. $\dfrac{\sigma_1 +\sigma_3}{2} \\$
  2. $\dfrac{\sigma_1 -\sigma_3}{2} \\ $
  3. $\sqrt{\dfrac{\sigma_1 +\sigma_3}{2}} \\$
  4. $\sqrt{\dfrac{\sigma_1 -\sigma_3}{2}}$
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