Radius of Gyration of a Trapezoid
Radius of Gyration of a Trapezoid formulas |
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\( k_{x} \;=\; \dfrac {h}{6} \cdot \sqrt{ 2 + \dfrac{ 4\cdot c\cdot a}{ \left( c + a \right)^2 } } \) \( k_{y} \;=\; \sqrt { \dfrac {I_y}{A_{area}} } \) \( k_{z} \;=\; \sqrt { k_{x}{^2} + k_{y}{^2} } \) \( k_{x1} \;=\; \dfrac{1}{6} \cdot \sqrt{ \dfrac{ 6\cdot h^2 \cdot \left( 3\cdot c + a \right) }{c + a} } \) \( k_{y1} \;=\; \sqrt { \dfrac {I_{y1}} {A_{area}} } \) \( k_{z1} \;=\; \sqrt { k_{x1}{^2} + k_{y1}{^2} } \) |
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Symbol | English | Metric |
\( k \) = radius of gyration | \( in \) | \( mm \) |
\( a, b, c, d \) = edge | \( in \) | \( mm \) |
\( h \) = height | \( in \) | \( mm \) |