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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 and opposite axial stresses on two mutually perpendicular planes, the planes being free of shear
  • d)
    equal axial stresses on two mutually perpendicular planes, the planes being free of shear
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A Mohr’s circle reduces to a point when the body is subjected to...
When the normal stresses on the two mutually perpendicular planes are equal and alike then radius of Mohr’s circle will be zero.
i.e.  

Hence Mohr’s circle reduces to a point.
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A Mohr’s circle reduces to a point when the body is subjected to...
's circle is a graphical representation of the state of stress at a point in a material. It is named after Christian Otto Mohr, a German civil engineer and mechanics professor who first introduced it in 1882. The circle is used to visualize and analyze the principal stresses, maximum shear stress, and stress invariants at a point. It consists of a circle with the horizontal axis representing normal stress (σ) and the vertical axis representing shear stress (τ). The center of the circle corresponds to the hydrostatic stress, and the radius of the circle represents the maximum shear stress. The orientation of the circle shows the orientation of the principal stresses. Mohr's circle is widely used in engineering and mechanics to analyze stress and strain in materials and structures.
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A Mohr’s circle reduces to a point when the body is subjected to...
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A Mohr’s circle reduces to a point when the body is subjected toa)pure shearb)uniaxial stress onlyc)equal and opposite axial stresses on two mutually perpendicular planes, the planes being free of sheard)equal axial stresses on two mutually perpendicular planes, the planes being free of shearCorrect answer is option 'D'. Can you explain this answer?
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