Coefficient of friction µ depend upon the type of supporting surfaces (junction between Top of Steel and Bottom of Pipe or Bottom of Shoe/Cradle). Normally 0.3 is used if no special arrangement is made.
Friction factor shall be applied at all vertical restraints.
There is various philosophy regarding the use of friction factor for guide and horizontal restraints. Some companies prefer not to use any frictional coefficient for horizontal restraints. However if used the same can be taken from the above list.
The friction force at the pipe support has a significant effect on the behavior of a piping system. Without friction effect may be meaningless in some cases, especially for the long transmission pipelines because friction force balancing against temperature expansion force. Also friction is very important for piping connected to the rotating equipment. The rotating equipment is notorious for its low allowable piping loads. Sometimes the friction at one support may can completely change the acceptability of the piping system.
The sliding surface is perpendicular to a restraint direction. Restraints with a friction are nonlinear.
There are 3 main hypothesis used for friction forces:
Friction Oscillator