Personally, I would design any vertical support for a lateral load equal to the lower of:
- The vertical load times the friction factor
- If resisting thermal loads, the load necessary to create a deflection in the structure equal to the largest deflection the pipe could see
If the Caesar analysis provides a greater load than the above, I will use it.
Generally, the stress analyses I see are fairly rough. You aren't going to fully take into account things like structure stiffness, install tolerances, and other things that can shift the loads around. Generally a failure of the structure is a worse situation than a failure in the pipe, so I'd prefer to design to a limit state that I'm a little more confident in. I know the pipe will slip when it exceeds friction and I know the pipe can only expand a certain amount.
Make sure you're being realistic though. Make sure you aren't assuming forces that would obviously fail the pipe out of plane and things like that. Have a conversation with your pipe guys.
dik, maybe I'm not quite getting what you're saying. If there's a guide then the guide should be designed for the calculated force on the guide. Friction won't be a limit on the load in this case, as there's a mechanical connection to the pipe. If it's near a bend, that can be a calculated value due to expansion, transients, or other forces. If it's outside on a long stretch it may be calculated based on wind loads. If it's just making sure the line doesn't snake it might be a percentage of the axial capacity of the pipe based on standard company or client practice. Guides, stops and anchors are the spots where you really have to count on the stress analysis because the forces can exceed frictional loads. There is a mechanical connection at those locations.