effect of rectangular plate width on buckling resistance
effect of rectangular plate width on buckling resistance
(OP)
Greetings everyone
I was looking for the buckling equation of rectangular plates on supports and found bryans plate buckling equation. what i find to be strange is that increasing the width decreases the buckling strength. Take as an example a plate fixed vertically with one of its shorter edges fixed to the ground with the opposite edge loaded and the other longer edges being free; it is common sence here that increasing the width of the plate will increase the amount of compressive load it can handle. Hope someone can clear this confusion.
Thanks in advance
I was looking for the buckling equation of rectangular plates on supports and found bryans plate buckling equation. what i find to be strange is that increasing the width decreases the buckling strength. Take as an example a plate fixed vertically with one of its shorter edges fixed to the ground with the opposite edge loaded and the other longer edges being free; it is common sence here that increasing the width of the plate will increase the amount of compressive load it can handle. Hope someone can clear this confusion.
Thanks in advance






RE: effect of rectangular plate width on buckling resistance
http://www.ce.jhu.edu/cfs/cfslibrary/SSRC%20Guide%...
If this is the equation you are referring to, it only makes sense if b is the plate dimension perpendicular to the load direction. This interpretation is supported by the heading of the section of the document: "Long Rectangular Plates". I take "long" to mean "infinitely long".
Happy to be contradicted by anyone with more knowledge than my off-the-cuff view of Uncle G's offering.
RE: effect of rectangular plate width on buckling resistance
The equation referenced assumes the plate is tall enough that it does not behave as a short or intermediate column. On page 6 of the referenced document you'll find the different k-values for possible edge conditions, with 0.425 or 1.277 being appropriate in your case.
For further reading on buckling I recommend "Guide to Stability Design Criteria for Metal Structures".
Ward Davis
E.I.T.
RE: effect of rectangular plate width on buckling resistance
Ward, what is the ratio of a to b to say that a plate is long or medium or short or a wide plate. do such plates have different equations
RE: effect of rectangular plate width on buckling resistance
Note that both edges free is not discussed, it is just a column then.
Note that this is elastic buckling, and actual strength of such a plate may be limited by other factors.
Some of the elastic buckling solutions can be quite a ways off from reality, so try to confirm by other sources if possible.
RE: effect of rectangular plate width on buckling resistance
can u mention a reference that supports what u said about this case being treated like a column.
RE: effect of rectangular plate width on buckling resistance
RE: effect of rectangular plate width on buckling resistance
RE: effect of rectangular plate width on buckling resistance
Now, instead of bending a thin beam, bend a strip of plate. The fact that the Z dimension of the member being bent is now significantly large hinders the ability of its cross-section to take up the trapezoidal shape. This inability manifests itself as an increase in the bending stiffness. Hence the 1/(1-v^2) factor.
Your recent plate-related questions it this and other posts suggest to me that you are presently climbing a steep learning curve. Take care.
RE: effect of rectangular plate width on buckling resistance
Does the actual plate in question have both long edges free or not?
RE: effect of rectangular plate width on buckling resistance
Jstephen: this means that the usual formula for column buckling can't be just used for plates without modification. the plate in my the case i'm talking about is free on both long edges
RE: effect of rectangular plate width on buckling resistance