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Second Moment of Area of a Square Channel

 

Second Moment of Area of a Square Channel formulas

\( I_{x} \;=\;  \dfrac{ w\cdot l^3 - h^3 \cdot \left( w - t  \right) }{ 12 }  \)

\( I_{y} \;=\;  \dfrac{ 2\cdot s\cdot w^3 + h\cdot t^3 }{ 3 } - A\cdot C_{x}{^2} \) 

\( I_{x1} \;=\;  I_{x}  +  A\cdot C_{y}{^2} \) 

\( I_{y1} \;=\;  I_{y}  +  A\cdot C_{x}{^2} \)

Symbol English Metric
\( I \) = moment of inertia \( in^4 \) \( mm^4 \)
\( A \) = area \( in^2 \) \( mm^2 \)
\( C \) = distance from centroid \( in \) \( mm \)
\( h \) = height \( in \) \( mm \)
\( l \) = height \( in \) \( mm \)
\( s \) = thickness \( in \) \( mm \)
\( t \) = thickness \( in \) \( mm \)
\( w \) = width \( in \) \( mm \)

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