# 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}, inches^{4})*

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

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

### Area Moment of Inertia Converter

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

Convert from | Convert to | |||

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

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

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

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

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

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