The calculated static and dynamic forces and moments of a piping system depend essentially on the stiffness of the fixed-point and support constructions. The pumps, valves, tanks, support constructions and other components usually are not modeled for piping calculations. Their elastic properties will be summarized in resultant stiffness matrices or spring rates which will be introduced into the calculation model at the respective connection points, either as fixed points or spring elements.
In the most of the cases, the exact stiffness matrices of the fixed points and supports are not available when the piping systems are to be calculated, because the design of these structures depends reasonably on the loads which, in turn, come from the piping systems. Therefore, one is forced to assume approximated values for the calculation.
https://inis.iaea.org/search/searchsinglerecord.aspx?recordsFor=SingleRecord&RN=14772430#
An industry-wide problem exists due to incorrect assumptions about pipe support stiffness. The current practice by many engineering firms is to assume a pipe support is rigid (e.g., 1E12 lb/in). In reality, the clamp and support system has some flexibility (e.g., 1E5 - 1E6 lb/in). This means the piping engineer’s assumptions can be over 1,000,000 times stiffer than the actual installation.
Inaccurate stiffness assumptions create (expensive) consequences, such as:
This problem exists because of these two issues:
GMPC
The stiffness of pipe supports in the direction of applied restraint should be included in the pipe stress analysis model unless the supports can be qualified as rigid according to the following criteria:
a) 12” and larger pipe: minimum support stiffness of 100 Kips/inch in the direction of restraint;
b) 3” to 12” pipe: minimum support stiffness of 10 Kips/inch in the direction of restraint; c) 2” and smaller pipe: minimum support stiffness established by technical judgment.
https://www.ferc.gov/industries/gas/indus-act/lng/lng-seis-guide.pdf
GMRC Project: Pipe Support Stiffness
https://library.gmrc.org/research-reports/pipe-support-stiffness