Torsional Constant of a Circle
Torsional Constant of a Circle formulas | 
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 \( J \;=\; \dfrac{ \pi \cdot r^4 }{ 2 }\) \( J \;=\; \dfrac{ \pi \cdot d^4 }{ 32 }\)  | 
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| Symbol | English | Metric | 
| \( J \) = torsional constant | \( in^4 \) | \( mm^4 \) | 
| \( d \) = diameter | \( in \) | \( mm \) | 
| \( \pi \) = Pi | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) | 
| \( r \) = radius | \( in \) | \(mm \) | 
Torsional constant (also called the polar moment of inertia or polar second moment of area) for a circular cross-section is a measure of its resistance to torsion (twisting).

