Moment of inertia - curved flat bar

AI Thread Summary
The discussion centers on calculating the moment of inertia for a formed flat bar with specific dimensions. A user initially struggles with the problem, prompting suggestions to refer to Roark's Formulas for Stress and Strain, which contains the necessary information in its appendix. There is a debate on whether to derive the moment of inertia through calculus or to use simpler methods, such as approximating with a rectangular cross-section formula. Additionally, using software like SolidWorks for accurate calculations is recommended. The conversation highlights the importance of having the correct edition of reference materials for engineering problems.
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I am trying to calculate the moment of inertia of a formed (uniform curve) flat bar. I have attached a sketch . The bar is 5/8" thick x 1" wide. I'm stumped.
 

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Is this a homework problem where you need to come up with the derivation?

Roark's Formulas for Stress and Strain has the answer to that exact section, in Appendix A, Table A.1 (Properties of Sections).
 
Thanks for the fast reply. Exactly what I needed. My 5th Edition Roark lacks the appendix!
 
I have the Seventh edition and it has it, and from what I can tell the Sixth edition has it as well. Time to get a new Roark's!
 
hi there..
i think you are trying to find the stress at a section in this problem..
is this a thick or a thin section? With some calculus we can figure out what will be the moment of inertia..
 
If your looking for an exact answer you would have integrate it using:

Ixy=∫xydA since it is curved

Honestly though I would just get a rough estimate with a simple rectangular cross-section area moment of inertia equation

I=1/12bh^3

or I would use a program like Solidworks that would calculate it for me.

If you want to know more about area moment of inertia this is a good web page that gives a basic overview

http://sbainvent.com/strength_of_materials/area-moment-of-inertia.php
 

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