critical buckling load : closed from solution

Submitted by niteshjain on Fri, 2007-03-23 02:58.

Ask iMechanica

Hello,

I am looking for a closed from analytical solution for the critical bucking load of a beam subjected to axial compression as well as uniformly distributed transverse load. I spent few hours searching for it and could not find one, but somehow I have the feeling that somebody should have worked out the solution. If anybody can point me in the right direction I will really appreciate it.

Ultimately, I want to see what's the affect of uniform transversely distributed load on critical buckling load, also FYI the end conditions are fixed -fixed. I know somebody might say why not use FEA to solve this eigenvalue problem however, I am interested in closed form solution.

Thanks in advance

Nitesh

Login or register to post comments
2384 reads

You can find the result in the books.

Submitted by Ying Li on Fri, 2007-03-23 16:29.

The materials mechanics gives us the result. Also, you can use the Euler Theory to solve it by yourself.

materials mechanics ?

Submitted by niteshjain on Fri, 2007-03-23 17:01.

Thanks for your response, are u referring to some book ?

Yeah

Submitted by Ying Li on Fri, 2007-03-23 17:57.

Yes, I reffer to some books may called Mechanics of Materials or Material Strength written by some people. Or maybe you can see the URL:http://www.core.org.cn/OcwWeb/Mechanical-Engineering/2-002Spring2004/LectureNotes/index.htm

Applications: Beam Bending, Buckling and Vibration PDF1

to find waht you want.

Thank Yeah

Submitted by niteshjain on Sat, 2007-03-24 17:09.

Yeah,

Thank you so much, I saw a similar problem in Timoshenko, that was a beam on ealstic spring with axial loading.

Thank you so much

Nitesh