Anchor Force In Thermal Expansion 1

[E. Evans]

https://files.engineering.com/getfi...-a6ee-40d0-bcd0-54a949d6eef3&file=picture.png

Hi All,
I am trying to figure out the anchor force on a pipe given thermal expansion.
with one side of the pipe anchored and the other side free to expand given a temperature increase. (see photo above)
Let’s say the pipe supports are fixed to the ground and the pipe can slide over the supports.
This generates a friction force which is:
friction force = (the weight the support holds) x (friction factor between the pipe and the support, both kinetic and static)
My question is this: does the pipe anchor feel the reaction of that friction force or does the support or both and how to look at that?

 

[chicopee]

If Fb is the frictional force then it should be in the opposite direction while the pipes expands from a temperature increase and from internal pressure developing in the pipe. Then the anchoring force Fa should be equal to Fb. Note the support forces at A and B can easily be calculated from mechanics concept and there will be a vector calculation at A and B to consider. At B install a sliding pad to minimize frictional force. Also do a similar calculation when the pipe cools down and/or pressure is reduced.