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Second Moment of Area of a Square Angle

 

Second Moment of Area of a Square Angle formulas

\( I_{x} \;=\;   \dfrac{  t \cdot \left( w - C_y  \right)^3  +   w \cdot \left[  w - \left( w - C_y \right)  \right]^3   -  \left( w - t \right)  \cdot   \left[  w - \left( w - C_y \right) - t  \right]^3  }{3}   \) 

\( I_{x} \;=\;   \dfrac{  t \cdot \left( w - C_y  \right)^3  +  w \cdot \left[  w - \left( w - C_y \right)  \right]^3   -  \left( w - t \right)   \cdot  \left[  w - \left( w - C_y \right) - t  \right]^3   }{3}   \) 

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

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

Symbol English Metric
\( I \) = moment of inertia \(\large{ in^4 }\) \(\large{ mm^4 }\)
\( A \) = area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\( C \) = distance from centroid \(\large{ in }\) \(\large{ mm }\)
\( t \) = thickness \(\large{ in }\) \(\large{ mm }\)
\( w \) = width \(\large{ in }\) \(\large{ mm }\)

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