Horizontal lines can see an axial, weight load. It may not be much but the system response in different directions (X,Y,Z) are coupled through the stiffness matrix.
Yes, before 320 provided an equation for stress due to sustained loads, most engineers would calculate a stress due to moments alone and simply add on PD/4t for the (axial) pressure stress. CAESAR II provided switches to adjust that stress formulation.
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Dave Diehl