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# 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

Iaxis = ∫ y2 dA                          (1)

where

Iaxis = Area Moment of Inertia related to an axis (m4, mm4, in4, ft4)

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

dA = an elemental area (m2, mm2, in2, ft2)

### Area Moment of Inertia Converter

Area Moment of Inertia Converter

Convert from
Multiply with
Convert to
m4cm4mm4in4ft4
m4 1 108 1012 2.4 106 116.3
cm4 10-8 1 104 2.4 10-2 1.2 10-6
mm4 10-12 10-4 1 2.4 10-6 1.2 10-10
in4 4.16 10-7 41.6 4.16 105 1 4.8225 10-5
ft4 8.6 10-3 8.6 105 8.6 109 207346 1

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

To convert from 160.6 cm4 to in4 multiply with 2.4 10-2 as

(160.6 cm4) 2.4 10-2 = 3.9 in4

#### Moment of Inertia - Unit Converter Chart

Download and print Moment of Inertia - Unit Converting Chart

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

100 cm4 (1.00E+02 cm4) can be converted to 10000000 mm4  (1.00E+07 mm4) or 24 in4 (2.4E+01 in4) as indicated in the chart below:

## Related Topics

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## Related Documents

• ### American Wide Flange Beams

American Wide Flange Beams ASTM A6 in metric units.
• ### Area Moment of Inertia - Typical Cross Sections I

Typical cross sections and their Area Moment of Inertia.
• ### Area Moment of Inertia - Typical Cross Sections II

Area Moment of Inertia, Moment of Inertia for an Area or Second Moment of Area for typical cross section profiles.
• ### Beams - Fixed at Both Ends - Continuous and Point Loads

Stress, deflections and supporting loads.
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Supporting loads, moments and deflections.
• ### Beams - Supported at Both Ends - Continuous and Point Loads

Supporting loads, stress and deflections.
• ### Mass Moment of Inertia

The Mass Moment of Inertia vs. mass of object, it's shape and relative point of rotation - the Radius of Gyration.
• ### Pipe and Tubing Formulas

Pipe and Tube Equations - moment of inertia, section modulus, traverse metal area, external pipe surface and traverse internal area - imperial units
• ### Radius of Gyration in Structural Engineering

Radius of gyration describes the distribution of cross sectional area in columns around their centroidal axis.
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Basic size, area, moments of inertia and section modulus for timber - metric units.
• ### Unit Factor Method

Convert between units with the unit factor or factor-label method

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## Citation

• The Engineering ToolBox (2008). Area Moment of Inertia Converter. [online] Available at: https://www.engineeringtoolbox.com/area-moment-inertia-conversion-d_1330.html [Accessed Day Month Year].

Modify the access date according your visit.

7.25.9

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