analogy of a cantilever
analogy of a cantilever
(OP)
Hi,
Anybody got an idea about analogy of a cantilever to estimate the moment and a deflection in a sway frame which is statically indeterminate I need to know the procedure for this method Regards
Anybody got an idea about analogy of a cantilever to estimate the moment and a deflection in a sway frame which is statically indeterminate I need to know the procedure for this method Regards






RE: analogy of a cantilever
If you are referring to the Column Analogy method for finding the moments, shear and deflection of indeterminate structures you will have to dig up the text book that you used for that undergraduate class in indeterminate structures.
RE: analogy of a cantilever
Note that such approach can become grossly inaccurate when precisely like a cantilever the lateral deformation puts entire levels of columns in single curvature. So no deal for tall buildings.
This notwithstanding I may have a book by Takabeya (surely in some closet I don't open but maybe twice a year) that calculated tall structures by akin simplified methods, and in fact know of 1 building about 100 m tall calculated by Takabeya's rule (I think it had some kind of mega-structure setup, with main frame sustaining a number of smaller inset frames).
Also, of course, one could presently engage in a work of matching the lateral deformations of particularly tuned cantilevers to those of frames. This is surely more long than difficult today with structural analysis packages.
RE: analogy of a cantilever
I don't know of a way to estimate the deflection of a sway frame. You might just have to bite the bullet and use something like the slope-deflection method or Castigliano's theorem (personally, I'm a big fan of Castigliano).
RE: analogy of a cantilever
Regards,
![[pipe] pipe](https://www.tipmaster.com/images/pipe.gif)
Qshake
Eng-Tips Forums:Real Solutions for Real Problems Really Quick.
RE: analogy of a cantilever
RE: analogy of a cantilever
Michael.
Timing has a lot to do with the outcome of a rain dance.
RE: analogy of a cantilever
are the centroidal distance method and cantilever analogy same method? what confuse me is that in centroidal distance method assume the area of the internal columns are double the exterior columns which I don't think the analogy of cantilever have this assumption!!!
RE: analogy of a cantilever
We may be experiencing a language problem here. My old text, in USA english, referres to one of the classic methods for solving indeterminate structures as "Elastic Center and Column Analogy Methods". It is like Moment Distribution, Slope Deflection, Work & Energy, etc. They all start with the differential equation of bending.These are not processes like the Portal Method. They are real different.
As in my original suggestion, if the Elastic Center & Column Analogy is what you are referring to that you get out a text book on indeterminate structures and start refreshing your self on these methods. It is not rocket science but it is also not something that one can explain in a forum like this.
I have never heard of something called the "cantilever analogy".
RE: analogy of a cantilever
The cantilever method is very similar to the portal method. The portal method assumes pins at mid-height of the columns and you start with shears to determine axial loads and moments. The cantilever method starts with axial loads to determine shears and moments.
RE: analogy of a cantilever
http://co
Michael.
Timing has a lot to do with the outcome of a rain dance.
RE: analogy of a cantilever
http://
BA
RE: analogy of a cantilever
RE: analogy of a cantilever
Michael.
Timing has a lot to do with the outcome of a rain dance.