Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

Area Moment of Inertia Converter

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 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

• Beams and Columns

Deflection and stress in beams and columns, moment of inertia, section modulus and technical information.

• Mechanics

The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

• Statics

Forces acting on bodies at rest under equilibrium conditions - loads, forces and torque, beams and columns.

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.

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.

Section Modulus - Unit Converter

Convert between Elastic Section Modulus units.

Structural Lumber - Section Sizes

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

Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!