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# Stress/deflection formula for tapered plate with uniform pressure?

## Stress/deflection formula for tapered plate with uniform pressure?

(OP)
To all

Does anyone know if there are similar formula to Roark's formula for rectangular plate with uniform pressure but for tapered plates? Have done some web search and so far have found nothing relevant

Thanks
Regards
JXB

### RE: Stress/deflection formula for tapered plate with uniform pressure?

I think you mean trapezoidal plate ? I'd use a rectangular panel with average sides, yes? Or FE

### RE: Stress/deflection formula for tapered plate with uniform pressure?

I would use FE analysis. Just be careful how you define the boundary conditions. You will have to use local coordinate systems along the tapered sides.

Andries

### RE: Stress/deflection formula for tapered plate with uniform pressure?

(OP)
indeed I meant "trapezoidal" and not tapered. My apologies. Already used an average 'b' dimension to bound the problem. I have no interest in doing FE on such simple problem unless I decide to develop my own beta factors. There must be something on this somewhere.

### RE: Stress/deflection formula for tapered plate with uniform pressure?

You do not need to rely completely on FE, but you can do it just for comparison and checking..

www.stressebook.com
Stressing Stresslessly!

### RE: Stress/deflection formula for tapered plate with uniform pressure?

If you could find a way to manufacture plate tapered in thickness, economically, there might be a market....

Mike Halloran
Pembroke Pines, FL, USA

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