Hello, everybody!
One more argument in favour to Mr. Ay's response:
Case (a) does not meet entirely ASME B31 Piping Codes provisions related to Occasional Stresses checking/limitation.
So, ASME B31.3 stipulates at par. 302.3.6(a) that "...the sum of the longitudinal STRESSES SL due to sustained loads, such as pressure and weight, AND OF THE STRESSES produced by Occasional loads, such as wind or earthquake, may be as much as 1.33 times the basic allowable...".
Therefore, the absolute values of SUStained stresses and Occasional stresses should be summed, as Caesar II performs when scalar summation is correctly prescribed by the user for (b)L4 case (which should be anyway corrected by replacing "SUS" with the suitable sustained loading case W+P1 that must be previously defined).
The same principle is employed in eq. (12) from par. 104.8.2 of B31.1 Code.
So, method (b) corresponds to the most usual piping design codes principles.
Regards,
_________________________
Dorin Daniel Popescu
Lead Piping Stress Engineer