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One of the most common methods of installing these foundations is the process of driving, which changes the in situ soil stress and stiffness regime. The stiffness further reduces in a nonlinear manner as the loads and shearing strains increase within the soil. The decay in the stiffness of the soil surrounding an axially loaded pile varies with depth. While a variety of methods is available to predict the nonlinear Q-s response of piles in relatively simpler soil profiles, only select methods can handle the case of multi-layered soils, where the stiffness properties vary between layers. As an alternative, the Randolph analytical pile solution is exploited for (i) developing a new modulus reduction scheme from the back-analysis of load tests on driven piles that also accounts for plasticity of the soil, (ii) devising a methodology for generating modulus reduction curves for individual layers of a multi-layered system, and (iii) formulating a stacked pile model with integration of modulus reduction curves for an improved solution. The back-analysis process accounts for the installation effects on the in situ soil stiffness. 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