Stuck on complex pipe system bending moment hand calcs

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The discussion centers on calculating bending moments and potential failure areas in a complex pipe system with a long horizontal pipe (L1 at 100ft) and a vertical pipe (L2 at 30ft). The pipes are schedule 40 with a diameter of 1/2" and a moment of inertia of approximately 10^-8, with each component weighing about 2kg. Concerns include the need for structural support to prevent buckling and ensure rigidity, especially under high wind conditions, as the initial vertical section lacks additional support. The pressure in the system is low (around 40 psi), allowing for some simplifications in calculations. The user seeks guidance on assessing bending moments at fittings and overall system stability.
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TL;DR
Not sure how to tackle this indeterminate pipe problem. I'm interested in any of the failures (maybe bending moment at the fitting or buckling at the long lines).
pipeproblem.jpg


Some more details on the system are that L1 is very long (close to 100ft) and L2 is close to 30ft (the vertical pipes). The piping is all schedule 40 1/2" OD. Moment of inertia is roughly 10^-8. Components are about 2kg each. The distance of the pipes horizontally is small (around 2ft). Pressure is low and it's a gas so I think we can ignore that (40ish psi). Want to see how I can calc what the possible failure areas are. Stuff like bending moment at the fittings and buckling at the long vertical pipes. Thanks!
 

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Welcome!

Would you mind reviewing your description against the diagram?
If L1 is 100 feet, L2 should not be 30 feet.
It seems that you will need a structure for rigidity of those pipes in high wind conditions.
 
Of course! Seems like the 100ft line has some clamps on it higher up but at least for the initial 30ft there is no other structure. It seems to be fine? The two L1 pipes already exist I'm looking at adding the L2 pipe and tieing in.
 
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