“…Where; : Initial lateral stiffness Esi (Gerimann et al, 1984;Haj-Najib, 2002), , : Generalized and ultimate soil resistance, respectively, : Shapes parameter (Greimann et al, 1984 and1986;Haj-Najib, 2002), , : Generalized and ultimate pile displacement, respectively. Greimann et al (1984 and (Frosch & Lovell, 2011 ) The f-z relationships was obtained using Equation 2.7, by substituting the initial vertical stiffness kv, vertical displacement z, and shear stress f instead of kh, y and p, respectively (Greimann et al, 1984 and. The f-z relationships describe the relationship between skin friction (force per unit length of the pile) and the relative vertical displacement between the pile and the soil, Table 2.3.…”