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i was wondering if anyone could tell me how the formulas were created, oh and also what exactly does moment of inertia have to do with delfection??

- Thread starter ...harry...
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- #1

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i was wondering if anyone could tell me how the formulas were created, oh and also what exactly does moment of inertia have to do with delfection??

- #2

FredGarvin

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Beam equations are derived from differential equations that govern the behavior. In what is known as "classical beam theory" there is one major assumption made that simplifies the analysis. That assumption is that the cross section taken through any part of the beam will always remain perpendicular to the neutral axis and will remain in its original shape as well.

I would suggest doing a search for "beam equations derivations" or similar to find there are a ton of pages that will talk about where the "plug and play" equations come from. Here's an example:

http://en.wikipedia.org/wiki/Euler-Bernoulli_beam_equation

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are the derivations of the equations all complex math of is there a simpler explanation... even if its not mathematical?

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Mech_Engineer

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https://www.physicsforums.com/showthread.php?t=209319&highlight=harder+beam+equation

If you're interested in how beam equations are derived, you could buy a mechanics of materials or beam theory textbook, which would take you through different methods of approximating beam bending.

- #5

FredGarvin

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The derivations are, like I mentioned, based on differential equations. I don't really see any way to simplify them. That is why, for most people, the pre solved equations are so nice. Complex beam problems can usually be solved through combinations of the pre-solved equations. That is called superposition. It too has some underlying assumptions that dictate its use.

are the derivations of the equations all complex math of is there a simpler explanation... even if its not mathematical?

Here are some pages with some plug and play equations I mentioned:

http://www.engineersedge.com/beam_bending/beam_bending10.htm

http://www.neng.usu.edu/mae/faculty/stevef/info/beam_eq.htm [Broken]

https://ecourses.ou.edu/cgi-bin/ebook.cgi?doc=&topic=me&chap_sec=&page=&appendix=beams

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