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Second Moment of Area of a Circle

circle arc 4circle xy 1

 

 

 

 

 

 

 

 

Second Moment of Area of a Circle formulas

\( I_{x} \;=\;   \dfrac{ \pi \cdot r^4}{ 4 }\) 

\( I_{y} \;=\; \dfrac{ \pi \cdot r^4}{ 4 }\)

\( I_{x1} \;=\;   \dfrac{ 5 \cdot \pi \cdot r^4}{ 4 }\) 

\( I_{y1} \;=\;  \dfrac{ 5 \cdot \pi \cdot r^4}{ 4 }\)

Symbol English Metric
\( I \) = Moment of Inertia \( in^4 \) \( mm^4 \)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( r \) = Radius \( in \) \(mm \)

 

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