Pm, Pl and Q for WRC 107

[ElCidCampeador]

Hello,

I'm checking a PVElite calculation for a U-Stamp vessel, designed acc to ASME VIII Div.1 (N.B: I can only check calculation, because calcs are not mine).
In this vessel there are many flanged nozzles which have their own external loads applied to.
Software PVElite uses WRC 107 to check these external loads on nozzles.
I follow the entire procedure and I re-did the calculation by hand until I found the table "WRC 107/537 Stress Summations", where terms "Pm", "Pl" and Q are shown with no indication to how they are calculated.

Now, from what I've found on internet, Pm is the Lamè solution, so I could calculate. But Pl and Q? Is there an analytical way to calculate them?

I've to check the calculation by hand but I don't know how to proceed...thanks

 

[ElCidCampeador]

I understand this:

Pm=Lamè solution for shell of the vessel related to internal pressure
Pl=sum of local membrane stresses related to external loads
Q=sum sum of local bending stresses related to external loads

Pm+Pl+Q must be lower than S.I. Allowable. What is it? In my case it's not 3*S.all ...

 

[TGS4]

These are terms defined in ASME Section VIII, Division 2, Part 5. Pm is a hand calc, feverishly based on thin shell theory, Not Lamé. PL will be the local membrane ages calculated by the WRC 107 calculation. And Q is generally the bending calculated by the WRC 107 calculation. But the bending stress is not always secondary, so be careful on the stress categorization process.