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

Sponsored Links

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)

Sponsored Links

Related Topics

Related Documents

Tag Search

  • en: moment inertia plane area second cross sections
Sponsored Links

Search 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 the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

Translate this page to
About the Engineering ToolBox!

Citation

This page can be cited as

  • 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 Mo. Year].

Modify access date.

Customize Ads in the ToolBox

Make ads more useful in Google Ad Settings .

. .

close

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!

Scientific Online Calculator

Scientific Calculator

4 20

Sponsored Links
.