Moment of Inertia of a Rectangle
Moment of Inertia of a Rectangle Index
- Moment of Inertia of a Rectangle, Solid Plane, z Axis
- Moment of Inertia of a Rectangle, Solid Plane, x Axis
- Moment of Inertia of a Rectangle, Solid Plane, y Axis
- Moment of Inertia of a Rectangle, Hollow Core Plane, x Axis
- Moment of Inertia of a Rectangle, Hollow Core Plane, y Axis
Moment of Inertia of a Rectangle Formulas, Solid Plane, z Axis |
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\( I_z = \frac {1}{12}\; m \; \left( l^2 + w^2 \right) \) \( I_z = \frac {1}{12} \;l\;w \; \left( l^2 + w^2 \right) \) \( I_{z1} = \frac {1}{12}\;m \; \left( 4\;l^2 + w^2 \right) \) |
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Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm\;/\;ft^2-sec\) | \(kg\;/\;m^2\) |
\( l \) = length | \( in \) | \( mm \) |
\( m \) = mass | \( lbm \) | \( kg \) |
\( w \) = width | \( in \) | \( mm \) |
Moment of Inertia of a Rectangle Formulas, Solid Plane, x Axis |
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\( I_x = \frac {1}{12}\; l\;w^3 \) \( I_x = \frac {1}{12}\; m \; l^2 \) \( I_{x1} = \frac {1}{3}\; l\;w^3 \) \( I_{x1} = \frac {1}{3}\; m \; w^2 \) |
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Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm\;/\;ft^2-sec\) | \(kg\;/\;m^2\) |
\( l \) = length | \( in \) | \( mm \) |
\( m \) = mass | \(\large{ lbm }\) | \(\large{ kg }\) |
\( w \) = width | \( in \) | \( mm \) |
Moment of Inertia of a Rectangle Formulas, Solid Plane, y Axis |
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\( I_y = \frac {1}{12}\; l^3\;w \) \( I_{y1} = \frac {1}{3}\; l^3\;w \) |
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Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm\;/\;ft^2-sec\) | \(kg\;/\;m^2\) |
\( l \) = length | \( in \) | \( mm \) |
\( w \) = width | \( in \) | \( mm \) |
Moment of Inertia of a Rectangle Formula, Hollow Core Plane, x Axis |
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\( I_x = ( l\;w^3\;/\;12 ) - ( l_1\;w_1{^3} \;/\; 12 ) \) | ||
Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm\;/\;ft^2-sec\) | \(kg\;/\;m^2\) |
\( l \) = length | \( in \) | \( mm \) |
\( l_1 \) = length | \( in \) | \( mm \) |
\( w \) = width | \( in \) | \( mm \) |
\( w_1 \) = width | \( in \) | \( mm \) |
Moment of Inertia of a Rectangle Formula, Hollow Core Plane, Y Axis |
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\( I_y = ( l^3\;w\;/\;12 ) - ( l_1{^3} w_1\;/\;12 ) \) | ||
Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm\;/\;ft^2-sec\) | \(kg\;/\;m^2\) |
\( l \) = length | \( in \) | \( mm \) |
\( l_1 \) = length | \( in \) | \( mm \) |
\( w \) = width | \( in \) | \( mm \) |
\( w_1 \) = width | \( in \) | \( mm \) |
Tags: Moment of Inertia Rectangle