Calculation of the thickness of the porous filter plate in mixed-bed systems

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Question: What is the formula for calculating the strength of the porous filter plates inside a DN1500 mixed-bed filter in the field of water treatment? That is, the lower end cap of the equipment has an equipment flange, and the cylinder section also has an equipment flange; between these two flanges a filter plate is placed. Within certain areas of this porous filter plate, materials such as gravel and resin are placed as a load. Due to process requirements, a filter cap must be installed on this plate, and drilling is performed to reduce its area. Which calculation formula should be used to ensure that this thickness does not deform under the applied load? If that isn’t possible, support structures can be added at the lower part; how then should the calculations be carried out? I hope someone experienced can give me some advice. Thank you!