Due to the elevated temperature, a creep-buckling analysis must be performed based upon an agreed upon life expectancy.
A rough outline of the steps are as follows.
1. Construct a finite element model of the item. (In this case a piping manifold).
2. The material properties used in the model come from ASME Section III, Division 1, Subsection NH Elevated Temperature Design based on temperature and life expectancy.
3. Perform the analysis. The software should be able to determine an allowable external pressure based on strain criteria (generally output as an eigenvalue).
High temperature design criteria are based on strain rather than stress.