Torsion Constant for Ellipse Cross-section

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

torsion constant ellipse 1Torsion Constant for Ellipse Cross-section formula

\(\large{ J = \frac{\pi\;a^3\;b^3}{a^2\;+\;b^2} }\)   

Where:

 Units English Metric
\(\large{ J }\)  (Greek symbol alpha) = torsion constant \(\large{\frac{lbf-ft}{rad}}\) \(\large{\frac{N-m}{rad}}\)
\(\large{ a }\) = semi-major axis of an ellipse \(\large{in}\) \(\large{m}\)
\(\large{ b }\) = semi-minor axis of an ellipse \(\large{in}\) \(\large{m}\)
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)

 

Piping Designer Logo 1

Tags: Strain and Stress Equations Constant Equations Torsion Constant Equations