Second Moment of Area of a Trapezoid formulas |
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\( I_{x} \;=\; \dfrac{ h^3 \cdot \left( c^2\cdot 4\cdot c\cdot a + a^2 \right) }{ 36 \cdot \left( c + a \right) } \) \( I_{y} \;=\; \dfrac{ h \cdot \left( 4\cdot c\cdot a\cdot g^2 + 3\cdot c^2\cdot a\;g - 3\cdot c\cdot a^2\cdot g + c^4 + a^4 + 2\cdot c^3 \cdot a + c^2 \cdot g^2 + c^3 \cdot g + 2\cdot c\cdot a^3 - g\cdot a^3 + a^2\cdot g^2 \right) } { 36 \cdot \left( c + a \right) } \) \( I_{x1} \;=\; \dfrac{ h^3 \cdot \left( 3\cdot c + a \right) }{12} \) \( I_{y1} \;=\; \dfrac{ h \cdot \left( c^3 + 3\cdot c\cdot g^2 + 3\cdot c^2\cdot g + a^3 + g\cdot a^2 + c\cdot a^2 + a\cdot g^2 + 2\cdot c\cdot a\cdot g + a\cdot c^2 \right) }{12} \) |
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| Symbol | English | Metric |
| \( I \) = moment of inertia | \( in^4 \) | \( mm^4 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( k \) = radius of gyration | \( in \) | \( mm \) |
