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Area Moment of Inertia Converter

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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.

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

Area Moment of Inertia Converter

Convert from
Multiply with
Convert 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

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:

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