Torsion Constant for Ellipse Cross-section

on 24 November 2019. Posted in Classical Mechanics

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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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