Closed-form solutions and their associated spreadsheet program (GASLFP) were developed by the first author for laterally loaded free-head piles in elastic-plastic media. The solutions show behaviour of a laterally loaded pile is dominated by net limiting force per unit length (LFP) fully mobilised along the pile to a depth called slip depth. They are characterised by three parameters of N_g, á_0 and n (to describe the LFP) and the soil shear modulus (G_s). Conversely, these parameters may be deduced by matching the predicted with measured response. To facilitate practical design, in this paper, the input values of N_g, á_0, n and G_s were deduced in light of measured response of 20 piles tested in sand. The result allows effect of pile types, installation action, and dry or submerged sand to be clarified. In addition, using analogy to pipeline-soil interaction, a new alternative expression described by the parameters k_p, á_0 and n is proposed to construct the LFP. The use of the previous parameter N_g and the new k_p is discussed at length. Critical responses for typical deflection levels have also been provided. This back-analysis is elaborated via three typical cases.
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