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For ASME VIII-1 you may have one pressure relieving device (valve, rupture disc) protect several vessels provided that the pressures are relieved in all vessels below the limits mentioned by JimCasey (ref: VIII-1 UG-125). For example, you may have a shell side of an exchanger connected to a drum which has a relief valve on it. As long as the relief path cannot be blocked in (and is adequately sized, etc), it is adequate for protecting the shell side of the exchanger. There may be a block valve between the exchanger and drum, but it must have adequate controls (e.g. car seal open) to prevent it from being closed while the exchanger is in operation. Read up on UG-125 and related paragraphs, especially UG-135.
See also Appendix M. I'll highlight the first part of the definition of pressure relief path from App. M: "consists of all equipment, pipe, fittings, and valves in the flow path between any protected equipment and its pressure relieving device..."
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