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Polar Moment of Inertia of a Circle

 

Polar Moment of Inertia of a Circle formulas

\(J_{z} \;=\;   \dfrac{ \pi \cdot r^4 }{ 2 } \) 

\( J_{z1} \;=\;  \dfrac{  5 \cdot \pi \cdot r^4 }{ 2 } \) 

Symbol English Metric
\( J \) = torsional constant \( in^4 \) \( mm^4 \)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( r \) = radius \( in \) \( mm \)

Polar moment of inertia of a circular cross-section with radius or diameter is a measure of its resistance to torsional deformation.

2 overlapping circles 1

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