The water hammer loads typically act axially on the long piping runs; unbalanced load due to time lag. The axial stiffness of a pipe is very high k= AE/L and thus the natural frequency is high. In general, the pipe natural frequency may be estimated as f = w = (1/2pi)* SQRT (g/delta) and delta = PL/AE. Thus, for a unit load f= (1/2pi)* SQRT (gAE/L).

I do not have a past situation handy (it's at the office), but it was a dynamic slug evaluation for a 24" to 36" line. Good practice is to use a line stop on all long straight runs, thus the dynamic frequency will be high and will not easily be captured by CII as can be seen for an upper bound case ignoring elbow flexure and anchor stiffness. For a 100 foot run (30m) the "Column" axial frequency is quite high at 2980 hz (24"x0.5" wall) and 3660 hz (36" x 0.5" wall).

I may run a test case to verify and come back and edit this post, but you get the idea.

This arose while using CII dynamics in 1994 (used many other tools prior) where it was obvious that applying a 50,000 lb (11 kN) dynamic impulse load and only getting out a few thousand pounds. By the way doing a dynamic analysis with the missing mass option yielded a MAXIMUM slug response load of 1.3 * SLUG load versus the standard 2.0 DLF if done by hand.

Using more applicable data or a more rigorous analysis can lead to more practical designs.


Edited by Bob Zimmerman (06/23/20 09:02 AM)
Edit Reason: glitch
_________________________
Bob Zimmerman, P.E.
Vice President of The Piping Stress International Association (The PSI)