Radius of Gyration of a Hollow Rectangle formulas |
||
|
\( k_{x} \;=\; \sqrt{ \dfrac{ b\cdot a^3 - b_1\cdot a_{1}{^3} }{ 12 \cdot \left( b\cdot a - b_1\cdot a_1 \right) } } \) \( k_{y} \;=\; \sqrt{ \dfrac{ b^3 \cdot a - b_{1}{^3} \cdot a_1 }{ 12\cdot \left( b\cdot a - b_1\cdot a_1 \right) } } \) \( k_{z} \;=\; \sqrt{ k_{x}{^2} + k_{y}{^2} } \) \( k_{x1} \;=\; \sqrt{ \dfrac{ I_{x1} }{ A } } \) \( k_{y1} \;=\; \sqrt{ \dfrac{ I_{y1} }{ A } } \) \( k_{z1} \;=\; \sqrt{ k_{x1}{^2} + k_{y1}{^2} } \) |
||
| Symbol | English | Metric |
| \( k \) = radius of gyration | \( in \) | \( mm \) |
| \( A \) = area | \( in^2 \) | \( mm^2 \) |
| \( a, b, a_1, b_1 \) = edge | \( in \) | \( mm \) |
| \( I \) = moment of inertia | \( in^4 \) | \( mm^4 \) |
