Topic: Strength of Materials
A Mohr's circle reduces to a point when the body is subjected to
- A. Pure shear
- B. Uniaxial stress only
- C. Equal and opposite axial stress on two mutualy perpendicular planes, the plaines being free of shear.
- D. Equal axial stress on two mutualy perpendicular planes, the planes being free of shear.
Answer: D. Equal axial stress on two mutualy perpendicular planes, the planes being free of shear.
Explanation: A Mohr's circle represents the state of stress at a point. If a body is subjected to two equal axial stresses ($\sigma_{1} = \sigma_{2} = \sigma$) on mutually perpendicular planes that are completely free of shear stress ($\tau = 0$), the radius of the circle becomes zero. In this specific hydrostatic stress state, the Mohr's circle reduces to a single point on the normal stress axis.