The soils engineer can provide you the lateral subgrade modulus for the various soil layers. You can then take your shear and applied moment at the pile head and use beam on elastic foundation equations to get the response of the pile (shear, moment and deflection with depth). So for example, you may have 50 kips/cu.ft for the soft soils and 500 kips/cu.ft for the granite.
The equations are either for free head connection or fixed head connection. Based on research, often, a pile has to be embedded inside a pile cap 18 inch minimum so as to get a fixed head condition, These Hetenyi equations are in "Geotechnical Engineering: Foundation Design" 1995 by John Cernica and many other handbooks like Roark's formulas for stress and strain.
The response of your pile to a combined shear & moment is not that dependent on the lateral subgrade modulus value of the soil and the pile embedment as much as you would expect. It is mostly governed by pile's E*I value. So if your deflection is over say 0.3 inch, for example, use a pile with a higher moment of Inertia The best and most current reference on this topic is "single piles and pile groups under lateral loading" by Reese and Van Impe, 2011. While Bowles covers it, the above book has everything you need.
Alternatively, you can use the soil's passive resistance to resist the applied top of pile shear and moment loads.