No.
No matter how you set FAC, CAESAR II will calculate displacements. Those displacements are based on your piping loads and the system and soil stiffness. I cannot say whether or not your displacements are accurate.
By setting FAC=1, you are replacing the regular (bending) stress calculation with the simple stress calculation that assumes that the pipe does not move. If the pipe is fully restrained, you do not need to use CAESAR II to calculate stress, just apply the Code formula.
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Dave Diehl