Rectangle
Rectangle (a two-dimensional figure) is a quadrilateral with two pair of parallel edges.- Circumcircle is a circle that passes through all the vertices of a two-dimensional figure.
- Diagonal is a line from one vertices to another that is non adjacent.
- Polygon (a two-dimensional figure) is a closed plane figure for which all edges are line segments and not necessarly congruent.
- Quadrilateral (a two-dimensional figure) is a polygon with four sides.
- a ∥ c
- b ∥ d
- a = c
- b = d
- ∠A = ∠B = ∠C = ∠D = 360°
- 4 interior angles are 90°
- 2 diagonals
- 4 edges
- 4 vertexs
- See Article Link - Geometric Properties of Structural Shapes
- Tags: Structural Steel Quadrilateral
Rectangle Index
- Area of a Rectangle
- Circumcircle Radius of a Rectangle
- Diagonal of a Rectangle
- Distance from Centroid of a Rectangle
- Elastic Section Modulus of a Rectangle
- Perimeter of a Rectangle
- Plastic Section Modulus of a Rectangle
- Polar Moment of Inertia of a Rectangle
- Radius of Gyration of a Rectangle
- Second Moment of Area of a Rectangle
- Side of a Rectangle
- Torsional Constant of a Rectangle
Area of a Rectangle formula |
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| \( A_{area} \;=\; a\;b \) | ||
| Symbol | English | Metric |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Circumcircle Radius of a Rectangle formulas |
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\( R \;=\; D' \;/\;2 \) \( R \;=\; \sqrt{ a^2 + b^2 } \;/\; 2 \) |
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| Symbol | English | Metric |
| \( R \) = outside radius | \( in \) | \( mm \) |
| \( D' \) = diagonal | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Diagonal of a Rectangle formula |
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| \( D' \;=\; \sqrt {a^2 + b^2 } \) | ||
| Symbol | English | Metric |
| \( D' \) = diagonal | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Distance from Centroid of a Rectangle formulas |
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\( C_x \;=\; b \;/\; 2 \) \( C_y \;=\; a \;/\; 2 \) |
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| Symbol | English | Metric |
| \( C \) = distance from centroid | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Elastic Section Modulus of a Rectangle formulas |
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\( S_x \;=\; a^2\; b \;/\; 6 \) \( S_y \;=\; a\;b^2 \;/\; 6 \) |
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| Symbol | English | Metric |
| \( S \) = elastic section modulus | \( in^3 \) | \( mm^3 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Perimeter of a Rectangle formulas |
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\( P \;=\; 2\;a + 2\;b \) \( P \;=\; 2\; ( a + b) \) |
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| Symbol | English | Metric |
| \( P \) = perimeter | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Plastic Section Modulus of a Rectangle formulas |
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\( Z_x \;=\; a^2 \;b \;/\; 4 \) \( Z_y \;=\; a\;b^2 \;/\; 4 \) |
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| Symbol | English | Metric |
| \( Z \) = plastic section modulus | \( in^3 \) | \( mm^3 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Polar Moment of Inertia of a Rectangle formulas |
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\( J_{z} \;=\; (a\;b\;/\;12) \; ( a^2 + b^2 ) \) \( J_{z1} \;=\; (a\;b\;/\;3) \; ( a^2 + b^2 ) \) |
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| Symbol | English | Metric |
| \( J \) = torsional constant | \( in^4 \) | \( mm^4 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Radius of Gyration of a Rectangle formulas |
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\( k_{x} \;=\; a \;/\; 2 \; \sqrt{3} \) \( k_{y} \;=\; b \;/\; 2 \; \sqrt{3} \) \( k_{z} \;=\; \sqrt{ a^2 + b^2 \;/\; 2\; \sqrt{3} } \) \( k_{x1} \;=\; a \;/\; \sqrt{3} \) \( k_{y1} \;=\; b \;/\; \sqrt{3} \) \( k_{z1} \;=\; \sqrt{ a^2 + b^2 \;/\; \sqrt{3} } \) |
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| Symbol | English | Metric |
| \( k \) = radius of gyration | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Second Moment of Area of a Rectangle formulas |
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\( I_{x} \;=\; a^3\; b\;/\;12 \) \( I_{y} \;=\; a\;b^3\;/\;12 \) \( I_{x1} \;=\; a^3 \;b\;/\;3 \) \( I_{y1} \;=\; a\;b^3\;/\;3 \) |
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| Symbol | English | Metric |
| \( I \) = moment of inertia | \( in^4 \) | \( mm^4 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Side of a Rectangle formulas |
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\( a \;=\; (P\;/\;2) - b \) \( b \;=\; (P\;/\;2) - a \) |
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| Symbol | English | Metric |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
| \( P \) = perimeter | \( in \) | \( mm \) |
Torsional Constant of a Rectangle formula |
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| \( J \;=\; a^3\; b\; [\; \frac{1}{3} - (0.21\;a\;/\;b) \; ( 1 - [ a^4 \;/\; 12\;b^4] \; ) \;] \) | ||
| Symbol | English | Metric |
| \( J \) = torsional constant | \( in^4 \) | \( mm^4 \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
