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

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.

Area Moment of Inertia or Moment of Inertia for 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 for typical Cross Sections II

Angle with Equal Legs

Area moment of inertia - Angle with Equal Legs

The Area Moment of Inertia for an angle with equal legs can be calculated as

Ix = 1/3 [2c4 - 2 (c - t)4 + t (h - 2 c + 1/2 t)3]                       (1a)

where

c = yt cos 45o                             (1b)

and

yt = (h2 + ht + t2) / [2 (2 h - t ) cos 45o]                               (1c)

Angle with Unequal Legs

Area moment of inertia - Angle with Unequal Legs

The Area Moment of Inertia for an angle with unequal legs can be calculated as

Ix = 1/3 [t (h - yd)3 + b yd3 - b1 (yd - t)3]                            (2a)

Iy = 1/3 [t (b - xd)3 + h xd3 - h1 (xd - t)3]                            (2b)

where

xd = (b2 + h1 t) / (2 (b + h1))                                 (2c)

yd = (h2 + b1 t) / (2 (h + b1))

 

Triangle

Area moment of inertia - Triangle

The Area Moment of Inertia for a triangle can be calculated as

Ix =  b h3 / 36                                (3a)

Iy = h b (b2 - ba bc) / 36                         (3b)

Rectangular Triangle

Area moment of inertia - Rectangular Triangle

The Area Moment of Inertia for a rectangular triangle can be calculated as

Ix =  b h3 / 36                                (4a)

Iy =h b3 / 36                              (4b)

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.

Related Documents

Search

Search is the most efficient way to navigate the Engineering ToolBox.

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

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 older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .

Citation

This page can be cited as

  • The Engineering ToolBox (2003). Area Moment of Inertia - Typical Cross Sections II. [online] Available at: https://www.engineeringtoolbox.com/area-moment-inertia-d_521.html [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter

















































5.3.10

.