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Area Moment of Inertia Converter

Convert between Area Moment of Inertia units.

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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.

Area moment of inertia - Square section

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

Iaxis = ∫ y2 dA                          (1)


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

Multiply with
Convert fromConvert to
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

Moment of Inertia - Unit Converting 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:

Moment opf Inertia Converter Chart Example

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