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I found following the calculations in AS/NZS 1200 to be not a difficult process, hardly worth the bother and expense of purchasing a product, then learning how to use this software correctly. But as part of your question is asking about software options I would guess you have limited experience applying this tool in the real world.
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When it comes to using finite element analysis software to do the calculations, if you have the software available to use, you may make use of this tool. All of the required calculations are laid out in the standard, specifications for materials and welding and what is required to test and certify the finished product, you start at the beginning and work your way step by step towards the finished product. By starting the project by reading the applicable standard makes the whole process relatively straight forward. in my part of the world the standard that applies to the design, construction, testing and certification of these pieces of equipment is AS/NZS 1200. My experience of designing and building pressure vessels is limited to a few vacuum tanks. Before considering any software you may apply to the process, a complete understanding of the code requirements to design, build, test and have certified your completed compressed air tank. The place to start is to have in front of you a copy of the ASME VIII standard and to read through the standard thoroughly.