70 Equation 6-4)
πππ¦π¦
πππ₯π₯ = Where
V = Transverse shear in the pile/shaft.
M = Bending moment in the pile/shaft.
S = Slope of the deflection diagram.
The soil reaction,
p, is a function of the deflection,
y.
The relationship between p and
y is nonlinear,
and is referred to as the p-y curve. The soil-pile interaction is modeled as a nonlinear elastic beam and the soil resistance replaced by a series of discrete,
nonlinear springs, in which Equation 6-5) Where
Epyis the soil modulus or reaction modulus, also referred to as the spring constant for the soil spring model. The soil modulus
is a function of deflection,
y,
and depth,
x. The physical model of the p-y method is presented in Figure 6-5. This figure illustrates how the soil around the deep foundation is represented
by nonlinear springs, and how the p-y relationship varies with displacement,
y, and depth,
x.
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