# Area Moment of Inertia - Converter

## Convert between Area Moment of Inertia units

**Area Moment of Inertia** or** Moment of Inertia of an Area - **also known as **Second Moment of Area** - *I*, is a property of shape that is used to predict deflection, bending and stress in beams.

The general equation for Moment of Inertia for bending around an axis can be expressed as

*I _{axis} = ∫ y^{2} dA (1)*

*where *

*I _{axis} = Area Moment of Inertia related to an axis (m^{4}, mm^{4}, in^{4}, ft^{4})*

*y = the perpendicular distance from axis to the element dA (m, mm, in, ft)*

*dA = an elemental area ( m^{2}, mm^{2}, in^{2}, ft^{2})*

### Area Moment of Inertia Converter

Multiply with | |||||
---|---|---|---|---|---|

Convert from | Convert to | ||||

m^{4} | cm^{4} | mm^{4} | in^{4} | ft^{4} | |

m^{4} | 1 | 10^{8} | 10^{12} | 2.4 10^{6} | 116.3 |

cm^{4} | 10^{-8} | 1 | 10^{4} | 2.4 10^{-2} | 1.2 10^{-6} |

mm^{4} | 10^{-12} | 10^{-4} | 1 | 2.4 10^{-6} | 1.2 10^{-10} |

in^{4} | 4.16 10^{-7} | 41.6 | 4.16 10^{5} | 1 | 4.8225 10^{-5} |

ft^{4} | 8.6 10^{-3} | 8.6 10^{5} | 8.6 10^{9} | 207346 | 1 |

#### Example - Convert between Area of Inertia Units

To convert from *160.6 cm*^{4} to *in ^{4}* multiply with

*2.4 10*as

^{-2}*(160.6 cm ^{4}) 2.4 10^{-2} = 3.9 in^{4}*

#### Moment of Inertia - Unit Converter Chart

Download and print Moment of Inertia - Unit Converting Chart

#### Moment of Inertia - Unit Converting Chart Example

100 cm^{4} (1.00E+02 cm^{4}) can be converted to 10000000 mm^{4} (1.00E+07 mm^{4}) or 24 in^{4} (2.4E+01 in^{4}) as indicated in the chart below: