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Plastic Section Modulus of a Trapezoid

 

Plastic Section Modulus of a Trapezoid formulas

\(  Z_x \;=\; \dfrac{  h^2   \cdot  \left(  g\cdot c^2 + 14\cdot c\cdot a + g\cdot a^2   \right)  }{ 12\cdot \left(  c + a   \right)  }   \) 

\(  Z_y \;=\; \dfrac{  6\cdot c\cdot a\cdot h - 3\cdot c^2\cdot h - 8\cdot c + 8\cdot a + 4\;g^2 \cdot h - 8\cdot g  }{ 24}   \) 
Symbol English Metric
\( Z \) = plastic section modulus \( in^3 \) \( mm^3 \)
\( a, b, c, d \) = edge \( in \) \( mm \)
\( h \) = height \( in \) \( mm \)

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