ISRO Mechanical & Aerospace 2009 - Question 51

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A Mohr's circle reduces to a point when the body is subjected to

  • A. Pure shear
  • B. Uniaxial stress only
  • C. Equal & opposite axial stresses on two mutually perpendicular planes
  • D. Equal axis stresses are on two mutually perpendicular planes, the planes being free of shear.

Answer: D. Equal axis stresses are on two mutually perpendicular planes, the planes being free of shear.

Explanation: If $\sigma_x = \sigma_y$ and $\tau_{xy} = 0$, radius $R = \sqrt{\frac{(\sigma_x - \sigma_y)^2}{4} + \tau_{xy}^2} = 0$.

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