A square diamond is a structural shape used in construction.- Abbreviated as SQ
- Interior angles are 90°
- Exterior angles are 90°
- 2 diagonals
- 4 edges
- 4 vertexs
- See Article - Geometric Properties of Structural Shapes
Area of a Square Diamond formula |
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| \( A \;=\; a^2 \) | ||
| Symbol | English | Metric |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
| \( a \) = edge | \( in \) | \( mm \) |
Distance from Centroid of a Square Diamond formulas |
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\( C_x \;=\; \dfrac{ a }{ 2 } \) \( C_y \;=\; \dfrac{ a }{ 2} \) |
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| Symbol | English | Metric |
| \( C \) = distance from centroid | \( in \) | \( mm \) |
| \( a \) = edge | \( in \) | \( mm \) |
Elastic Section Modulus of a Square Diamond formula |
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| \( S \;=\; \dfrac{ a^3 }{ 6\cdot \sqrt {2} } \) | ||
| Symbol | English | Metric |
| \( S \) = elastic section modulus | \(in^3\) | \( mm^3 \) |
| \( a \) = edge | \( in \) | \( mm \) |
Perimeter of a Square Diamond formulas |
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| \( P \;=\; 4\cdot a \) | ||
| Symbol | English | Metric |
| \( P \) = perimeter | \( in \) | \( mm \) |
| \( a \) = edge | \( in \) | \( mm \) |
Plastic Section Modulus of a Square Diamond formula |
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| \( Z \;=\; \dfrac{ a^3\cdot \sqrt{2} }{ 6 } \) | ||
| Symbol | English | Metric |
| \( Z \) = plastic section modulus | \( in^3 \) | \( mm^3 \) |
| \( a \) = edge | \( in \) | \( mm \) |
Polar Moment of Inertia of a Square Diamond formulas |
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\( J_{z} \;=\; \dfrac{ a^4}{6} \) \( J_{z1} \;=\; \dfrac{ 2\cdot a^4}{3} \) |
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| Symbol | English | Metric |
| \( J \) = torsional constant | \( in^4 \) | \( mm^4 \) |
| \( a \) = edge | \( in \) | \( mm \) |
Radius of Gyration of a Square Diamond formulas |
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\( k_{x} \;=\; \dfrac{ a }{ 2 \cdot \sqrt{3} } \) \( k_{y} \;=\; \dfrac{ a }{ 2 \cdot \sqrt{3} } \) \( k_{z} \;=\; \dfrac{ a }{ \sqrt{6} } \) \( k_{x1} \;=\; \dfrac{ a }{ \sqrt{3} } \) \( k_{y1} \;=\; \dfrac{ a }{ \sqrt{3} } \) \( k_{z1} \;=\; \sqrt{ \dfrac{2}{3} \cdot a } \) |
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| Symbol | English | Metric |
| \( k \) = radius of gyration | \( in \) | \( mm \) |
| \( a \) = edge | \( in \) | \( mm \) |
Second Moment of Area of a Square Diamond formulas |
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\( I_{x} \;=\; \dfrac{ a^4}{12} \) \( I_{y} \;=\; \dfrac{ a^4}{12} \) \( I_{x1} \;=\; \dfrac{ a^4}{3} \) \( I_{y1} \;=\; \dfrac{ a^4}{3} \) |
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| Symbol | English | Metric |
| \( I \) = moment of inertia | \( in^4 \) | \( mm^4 \) |
| \( a \) = edge | \( in \) | \( mm \) |
Side of a Square Diamond formula |
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| \( a \;=\; \sqrt{A} \) | ||
| Symbol | English | Metric |
| \( a \) = edge | \( in \) | \( mm \) |
| \( A \) = area | \( in^2 \) | \( mm^2 \) |
Torsional Constant of a Square Diamond formula |
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| \( J \;=\; 2.25 \cdot \left(\dfrac{ a}{2}\right)^4 \) | ||
| Symbol | English | Metric |
| \( J \) = torsional constant | \( in^4 \) | \( mm^4 \) |
| \( a \) = edge | \( in \) | \( mm \) |
