Moment curvature relationship of cross sections - theory

[3JC]

Dear collages of the forum,

I write by first time in this section (I usually do it in Abaqus forum). I would be very gratefull if you could recomend to me some paper or book where would be explained the theoric fundamentals of Moment-Curvature relationship on non linear material. My objective is to have an analytical expression on a rectangular cross section (steel). Also I'm interesting in references about calculation of elastic-plastic deformations on frames.

Thank you very much for your attention and good week end.

Best regards,

Juan José

 

[johnbridge231]

This may be useful.

Regards.

 

[3JC]

Dear Johnbridge,

Thank you very much, but what I'm looking for are the theoretical basis (not software applications). Thank you very much anyway.

Regards.

 

[BAretired]

Maybe some of these links would be helpful:

BA

 

[IDS]

I suggest reviewing this one from BAretired's list:

http://stuff.mit.edu/afs/athena/course/2/2.31/

http://www/fall01/beam.pdf

and letting us know if you have any more specific questions.

Doug Jenkins
Interactive Design Services

http://newtonexcelbach.wordpress.com/

 

[3JC]

Dear Doug,

That is a simplified model about what I'm looking for. In my case, the material is not considered as elastic-perfetly plastic. After the yelding interval, there is one more interval of hardening (defined by a Eh, which is not horizontal).

Thank you very much anyway. Regards.

 

[briancpotter]

This paper is on the moment-curvature relationship of inelastic members:

http://deepblue.lib.umich.edu/handle/2027.42/5852

Not something I would use on its own, but may provide a good place to start.

Brian C Potter, PE

http://simplesupports.wordpress.com

 

[3JC]

Dear Brian,

The paper is so good; it is not in the idea what I was looking for, but gave to me additional points of view. Thank you a lot.
Regards.