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Bending-Annular Load

Bending-Annular Load

Bending-Annular Load

(OP)
Hi all,

I'm trying to solve a bending situation.  A square plate is placed b/w two other square plates.  The two outside square plates have  concentric annular protrusions, with one larger than the other.  To simplify: think of a plate with a pipe on the top and a pipe on the bottom.  The two pipes have different diameters.  The bottom pipe could be thought of as a restraint, whereas the force is input through the top pipe.  
Any reference I check for bending ony has beam bending.  How do i go about trying to calculate bending stresses/deflections in the square plate?  
TIA,
-Nick  

RE: Bending-Annular Load

Roark shows examples of center load input in a supported sq plate. Try to adapt to your model. If you have access to finite element analysis, then model it approx as is. Start with macro elements; then go to finer elements if necessary.

RE: Bending-Annular Load

Sounds like a FEA problem- wouldn't be too hard to set up in the simplified form.

If the outside edge of the plate is free, it would probably be a reasonable assumption to treat it as a circular plate and just neglect the excess material.  In that case, the circular plate formulas from Roark's Formulas for Stress and Strain could be used.

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