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
ARTICAL LINKS
Area of a Rectangle formula |
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\( \large{ A_{area} = a\;b }\) | ||
Symbol | English | Metric |
\(\large{ A_{area} }\) = area | \(\large{ in^2 }\) | \(\large{ mm^2 }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Circumcircle Radius of a Rectangle formulas |
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\( \large{ R = \frac{D'}{2} }\) \( \large{ R = \frac{ \sqrt{ a^2 \;+\; b^2 } }{ 2 } }\) |
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Symbol | English | Metric |
\(\large{ R }\) = outside radius | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ D' }\) = diagonal | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Diagonal of a Rectangle formula |
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\( \large{ D' = \sqrt {a^2 + b^2 } }\) | ||
Symbol | English | Metric |
\(\large{ D' }\) = diagonal | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Distance from Centroid of a Rectangle formulas |
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\(\large{ C_x = \frac{ b }{ 2 } }\) \(\large{ C_y = \frac{ a }{ 2} }\) |
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Symbol | English | Metric |
\(\large{ C }\) = distance from centroid | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Elastic Section Modulus of a Rectangle formulas |
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\( \large{ S_x = \frac{ a^2\; b }{ 6 } }\) \( \large{ S_y = \frac{ a\;b^2 }{ 6 } }\) |
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Symbol | English | Metric |
\(\large{ S }\) = elastic section modulus | \(\large{in^3}\) | \(\large{mm^3}\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Perimeter of a Rectangle formulas |
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\( \large{ P = 2\;a + 2\;b }\) \( \large{ P = 2\; \left( a + b \right) }\) |
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Symbol | English | Metric |
\(\large{ P }\) = perimeter | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Plastic Section Modulus of a Rectangle formulas |
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\( \large{ Z_x = \frac{ a^2 \;b }{ 4 } }\) \( \large{ Z_y = \frac{ a\;b^2 }{ 4 } }\) |
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Symbol | English | Metric |
\(\large{ Z }\) = plastic section modulus | \(\large{ in^3 }\) | \(\large{ mm^3 }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Polar Moment of Inertia of a Rectangle formulas |
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\(\large{ J_{z} = \frac{a\;b}{12} \; \left( a^2 + b^2 \right) }\) \(\large{ J_{z1} = \frac{a\;b}{3} \; \left( a^2 + b^2 \right) }\) |
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Symbol | English | Metric |
\(\large{ J }\) = torsional constant | \(\large{ in^4 }\) | \(\large{ mm^4 }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Radius of Gyration of a Rectangle formulas |
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\(\large{ k_{x} = \frac{ a }{ 2 \; \sqrt{3} } }\) \(\large{ k_{y} = \frac{ b }{ 2 \; \sqrt{3} } }\) \(\large{ k_{z} = \sqrt{ \frac{ a^2 \;+\; b^2 }{ 2\; \sqrt{3} } } }\) \(\large{ k_{x1} = \frac{ a } { \sqrt 3 } }\) \(\large{ k_{y1} = \frac{ b } { \sqrt 3 } }\) \(\large{ k_{z1} = \sqrt{ \frac{ a^2 \;+\; b^2 }{ \sqrt{3} } } }\) |
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Symbol | English | Metric |
\(\large{ k }\) = radius of gyration | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Second Moment of Area of a Rectangle formulas |
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\(\large{ I_{x} = \frac{a^3\; b}{12} }\) \(\large{ I_{y} = \frac{a\;b^3}{12} }\) \(\large{ I_{x1} = \frac{a^3 \;b}{3} }\) \(\large{ I_{y1} = \frac{a\;b^3}{3} }\) |
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Symbol | English | Metric |
\(\large{ I }\) = moment of inertia | \(\large{in^4}\) | \(\large{mm^4}\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Side of a Rectangle formulas |
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\( \large{ a = \frac{P}{2} \;-\; b }\) \( \large{ b = \frac{P}{2} \;-\; a }\) |
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Symbol | English | Metric |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
\(\large{ P }\) = perimeter | \(\large{ in }\) | \(\large{ mm }\) |
Torsional Constant of a Rectangle formula |
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\(\large{ J = a^3\; b\; \left[ \frac{1}{3} \;-\; \frac{0.21\;a}{b} \; \left( 1 \;-\; \frac{ a^4 }{ 12\;b^4 } \right) \right] }\) | ||
Symbol | English | Metric |
\(\large{ J }\) = torsional constant | \(\large{ in^4 }\) | \(\large{ mm^4 }\) |
\(\large{ a, b, c, d }\) = edge | \(\large{ in }\) | \(\large{ mm }\) |
Tags: Inertia Equations Structural Steel Equations Modulus Equations