thick rect. flat plate, circular hole, annular line load, deflection? 1

[DowneastTech]

I am trying to determine the maximum deflection for a thick, rectangular, flat plate with a central opening and annular line load about the opening. The support is fixed along the two short edges.

I have made literature search for an already developed equation that fits this case, and haven't found anything that is close. I can always go to a program such as RISA-3D, but I would prefer an equation to use with Mathcad, if possible.

Does anyone in our group have a good method for this problem.

Best regards,
Downeast tech

DowneastTech
Mechanical Engineer
Magnus R & D, Cypress, TX

 

[JoeTank]

Could you give us some of the basic dimensions?

Steve Braune
Tank Industry Consultants

http://www.tankindustry.com

 

[DowneastTech]

At this stage, I am doing preliminary work to develop a "generic" procedure. I wa told that I will be assigned the analysis of a piece of equipment where this particular problem is the central issue. So, no I don't have dimensions as yet.

Thanks for the reply,

DowneastTech

DowneastTech
Mechanical Engineer
Magnus R & D, Cypress, TX

 

[JStephen]

I doubt you'll find a canned answer for that specific geometry.

Are the plate dimensions fixed relative to each other? IE, always square or 2:1 ratio or something?

Or, is the hole diameter always fixed relative to one or both plate dimensions?

If either answer is yes, you should be able to non-dimensionalize the problem similar to the flat plate formulas in "Formulas for Stress and Strain", so that you only need one function of R/L or L1/L2 to find deflections. And, in that case, you can run a half dozen different geometries on FEA software to find that function across the range of interest.

 

[DowneastTech]

Thank you for your input JStephan. Your approach may be workable because the L1/L2 ratio should not vary, at least I expect very little variation. The Opening will remain about the same size too. The loads will the variable with greatest range.



DowneastTech
Mechanical Engineer
Magnus R & D, Cypress, TX

 

[JStephen]

You don't mention how thick the plate is, but check if your solution includes shear deflection, which becomes important in very thick plates.