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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

Multiply with
Convert fromConvert 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 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

• Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
• Beams and Columns - Deflection and stress, moment of inertia, section modulus and technical information of beams and columns.
• Statics - Loads - forces and torque, beams and columns.

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Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

3 30