Hey Robinmech,
If you have your test pressure (70psi), then you have your loading across the open area that you intend to close off with a welded plate. A flat head resists loading via pure bending and can be analyzed in that context.
You could approach the problem in various ways with varying complexity, namely:
[ul]
[li]You can throw the model in a design software and generate a finite element model and solve recursively for the plate thickness required for a required factor of safety.[/li]
[li]You have a uniform load on a symmetrical geometry therefore you can reduce the problem to any number of beam equations and determine the thickness of the beam required to minimize deflection to whatever deflection amount is considered safe in your circumstances. This will get you the thickness required for your plate and you can size the weld once you have the thicknesses of both plates being joined[/li]
[li]You have a 70psi pressure over a 48in diameter circle, or a static load of ~127,000 pounds. Analyzing for failure due to shear in the plate near the weld attachment would give a shear area of the plate thickness multiplied by the circumference. You can vary the thickness of your plate such that the shear area is sufficient (with a decent level of safety included) to withstand the load.[/li]
[/ul]
There are probably more methods to solving this problem, but those are a few I could think of off the top of my head.
Michael Hall, PE (TX) PMP - President
Engineering Design Services LLC