Hi Om123
I guess you are talking about difference in data with ‘’theoretical installed load” from hanger table with “sustain load” from restrain summery.
If you check displacement report in sustain case it will not be zero, slight +ve or -ve value in vertical direction.
Multiply that value with spring stiffness & compare with theoretical installed load , it will exactly match.
When spring is attached with pipe, load is set with spring it is called theoretical installed load. Now spring become active in piping system it readjust it’s load with slight upward or downward movement and change load a bit , is called sustain load.
There will be small difference between that two load.
Regards
Habib