Mate,
As such there are no defined max limits!!
Some examples:
For sag (Y disp in sustained) : defined by allowable support span as in your project spec. (normally 5 mm for gas/steam lines & 10 mm for others)
For lift-off (Y disp in thermal) : defined by allowable lift-off in your project (normally 2 mm).
Axial thermal disp: Depends on your project std & length of shoe..Also, the line shouldn't interfere with nearby equipment,structure , line or any other obstruction while in operation (normally 150 mm in ISBL & 350 mm for pipe racks).
Lateral thermal disp: Depends on your project std .Also, the line shouldn't interfere with nearby equipment,structure , line or any other obstruction while in operation
Strict word of Caution: These values are not binding & varies from project to project & company to company. These are just illustrated as examples.
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Keep Smiling
SJ