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.
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
| Multiply with | |||||
|---|---|---|---|---|---|
| Convert from | Convert to | ||||
| m4 | cm4 | mm4 | in4 | ft4 | |
| 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
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