Question
Download Solution PDFThe radius of the Mohr's circle represents
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The radius of Mohr's circle is given by the value of maximum in-plane shear stress.
Maximum and minimum values of normal stresses occur on planes of zero shearing stress. The maximum and minimum normal stresses are called the principal stresses, and the planes on which they act are called the principal plane.
\({\sigma _{max,\;min}} = \frac{{{\sigma _{xx}} + {\sigma _{yy}}}}{2} \pm \sqrt {{{\left( {\frac{{{\sigma _{xx}} - {\sigma _{yy}}}}{2}} \right)}^2} + \tau _{xy}^2} \)
Maximum shear stress is given by
\({\tau _{max}} = \frac{{{\sigma _{max}} - {\sigma _{min}}}}{2} = \sqrt {{{\left( {\frac{{{\sigma _{xx}} - {\sigma _{yy}}}}{2}} \right)}^2} + \tau _{xy}^2} \)
Which is equal to the radius of Mohr's Circle.
So, option 3 is correct.
Last updated on Jul 8, 2025
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