This solution will cover the basics of modeling attached equipment inside of CAESAR II.  The initial demo file and completed files are attached as well if you want to try yourself.

The situation is that we have a high temperature line attached to a horizontal heat exchanger that has two saddle connections on top of steel beams. One of the saddles is welded, the other is slotted and grooved to allow the vessel to grow.  The goal is to utilize the axial growth of the vessel, as well as the stiffness of the vessel nozzle, as variables in our analysis, rather than using an anchor restraint at the vessel nozzle connection.  

In order to achieve this, I am going to use the Nozzle Flexure Analysis option, located on the piping input panel: 

The first step is to remove the original anchor from the vessel nozzle connection point. Then to create the actual vessel nozzle as the first section of the connected vessel. Here the nozzle is 6" projection, 6" nominal size.!AleJji7Sehcbhkg6SXmV_5vP-uF-

Then the task is to model sections of the equipment that is disassociated from the main model, using node numbers outside of the currently used sequence. In this example, 6000-6010 is the first 10' section, which represents the distance from the first saddle to the nozzle connection. Then 6010-6020 is the distance from the nozzle to the other saddle.  A third element is constructed at 6010-6030, this will be a dummy element that represents the radial length of the vessel.!AleJji7SehcbhknNkfTcPEFpmWzt

The final task is to attach the constructed vessel to the original system using the nozzle flexure option.  I select the nozzle I created, then under Vessel node (optional), I enter in 6030. This allows me to CNode the constructed vessel back to my original system.  The only additional items are to properly restrain the new equipment based on my saddle connections, and to enter in the information for the nozzle flexure analysis.!AleJji7Sehcbhkp6OKBfBV6GSGOc

During an error check, you can review the new stiffness values that CAESAR II will utilize based on the results of the Nozzle Flexure analysis: