Torsional Constant of a Circle

Written by Jerry Ratzlaff on . Posted in Plane Geometry

circle arc 4Torsional Constant of a Circle formulas

\(\large{ J  =  \frac {  \pi \; r^4  } {  2  }   }\)   
\(\large{ J  =  \frac {  \pi \; d^4  } {  32  }   }\)  

Where:

 Units English Metric
\(\large{ J }\) = torsional constant \(\large{ in^4 }\)  \(\large{ mm^4 }\)  
\(\large{ d }\) = diameter \(\large{ in }\) \(\large{ mm }\) 
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius \(\large{ in }\) \(\large{mm  }\)

 

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