Not quite. Typically, when you have a PSV discharge open to atmosphere through a vertical tailpipe, you need to apply your calculated thrust load in the vertical section. I think most of us would model it at the end to the tailpipe, but you could put it at the bottom elbow if you really wanted. The force is typically going to be acting in the negative Y (assuming your tailpipe is open in the positive Y direction, as usual).
The reason we consider the thrust load in these cases is becuase there is a discontinuity in the pipe (i.e. the open tail end) such that the pressure thrust does not have something to balance it out as it would in a closed system. That thrust generates a force and, more importantly, will generate bending moments going back to the branch at the header. Typically, you would put a support under the elbow below the open vertical run to resist the force/moment of the thrust and direct it to a structural element designed to take the load.
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Edward L. Klein
Pipe Stress Engineer
All the world is a Spring