Driven Pile (McVay) TZ [McVay et al., 1989]
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where,
t = skin friction (side friction)
z = vertical displacement (settlement)
r = pile radius
Gi = initial (small-strain) shear modulus of soil
rm = outward radius were the transferred shear stress to soil is negligible
β = side resistance parameter
The parameter β is computed as,
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where,
tu = ultimate side resistance
rm is assumed to be initially equal to:
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where
L = pile length
ν = Poisson’s ratio of soil
Gmid = shear modulus of soil at mid-depth
Gtip = shear modulus of soil at the pile tip
[McVay et al., 1989] McVay, M., Townsend, F., Bloomquist, D., O’Brien, M., and Caliendo, J. (1989). Numerical analysis of vertically loaded pile groups. Foundation Engineering, pages 675–690