In practice, soil structure interaction is handled by modelling the soil as a spring system in the computer model. The Structural Engineer should not calculate these values, but require the Geotechnical Consultant to provide them.
In an onshore project, I find that it is best to ask the Geotechnical Engineer to provide "Coefficient of Subgrade Reactions in the horizontal and vertical directions", For an offshore project, Engineers are normally familiar with P-Y &Z-Y curves, which is normally provided in the Geotechnical Report.
Hope that helps.