Radius of Gyration of an Unequal I Beam formulas |
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\( k_{x} \;=\; \dfrac{ \dfrac{1}{3} \cdot \left[ b \cdot \left(l - C_y \right)^3 + w \cdot C_{y}{^3} - \left(b - t \right) \cdot \left(l - C_y - s \right)^3 - \left(w - t \right) \cdot \left(C_y + s \right)^3 \right] }{ b\cdot s + h\cdot t + w\cdot s} \) \( k_{y} \;=\; \dfrac{ \sqrt{ s \cdot \left(s^2 + 3 \right) \cdot \left(w - t \right)^3 + 2\cdot h\cdot t^3 } }{ 2\cdot \sqrt{6} \cdot \sqrt{w\cdot s + b\cdot s + h\cdot t } } \) |
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| Symbol | English | Metric |
| \( k \) = radius of gyration | \( in \) | \( mm \) |
| \( C \) = distance from centroid | \( in \) | \( mm \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( l \) = height | \( in \) | \( mm \) |
| \( s \) = thickness | \( in \) | \( mm \) |
| \( t \) = thickness | \( in \) | \( mm \) |
| \( b \) = width | \( in \) | \( mm \) |
| \( w \) = width | \( in \) | \( mm \) |
