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Elastic Section Modulus of a Circle Segment

 

Elastic Section Modulus of a Circle Segment formula

\( S \;=\;  \dfrac{   I_x }{  C_y - r \cdot  cos \left( \dfrac{ \Delta }{ 2 } \right) }  \) 
Symbol English Metric
\( S \) = elastic section modulus \( in^3 \)   \( mm^3 \) 
\( C_x, C_y \) = distance from centroid \( in \) \( mm \)
\( \Delta \) = angle \( deg \) \( rad \)
\( I \) = moment of inertia \(lbm\;/\;ft^2-sec\) \(kg\;/\;m^2\)
\( r \) = radius \( in \) \( mm \)

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