Second Moment of Area of an Isosceles Trapezoid
Second Moment of Area of an Isosceles Trapezoid formulas |
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\( I_{x} \;=\; \dfrac{ h^3 \cdot \left( c^2 + 4 \cdot c \cdot a + a^2 \right) }{ 36 \cdot \left( c + a \right) } \) \( I_{y} \;=\; \dfrac{ h \cdot \left( c + a \right) \cdot \left( c^2 + a^2 \right) }{ 48 } \) \( I_{x1} \;=\; \dfrac{ h^3 \cdot \left( 3 \cdot c + a \right) }{ 12 } \) \( I_{y1} \;=\; \dfrac{ h \cdot \left( c + a \right) \cdot \left( c^2 + 7 \cdot a^2 \right) }{ 48 } \) |
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Symbol | English | Metric |
\( I \) = moment of inertia | \( in^4 \) | \( mm^4 \) |
\( a, b, c, d \) = edge | \( in \) | \( mm \) |
\( h \) = height | \( in \) | \( mm \) |