Torsion Constant for Ellipse Cross-section

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Torsion Constant for Ellipse Cross-section formula

\( J =  \pi\;a^3\;b^3 \;/\; a^2+b^2  \)     (Torsion Constant for Ellipse Cross-section)

\( a = \sqrt{  J \; b^2 \;/\; \pi \; b^3 - J } \)

\( b = \sqrt{  J \; b^2 \;/\; \pi \; a^3 - J \; a }\)

Symbol English Metric
\( J \)  (Greek symbol alpha) = torsion constant \(in^4\) \(mm^4\)
\( \pi \) = Pi \(3.141 592 653 ...\)
\( a \) = semi-major axis of an ellipse \(in\) \(mm\)
\( b \) = semi-minor axis of an ellipse \(in\) \(mm\)

 

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Tags: Strain and Stress Torsion