Weak Rock (Reese) [Reese, 1997]
Ultimate resistance of Rock determined by following equations
(1)
(2)
where,
pur = ultimate rock resistance per unit length qur = unconfined compressive strength of rock αr = strength reduction factor xr = depth below rock surface b = diameter of pile
The initial slope can be determined as,
where,
Kir = initial slope of the P-Y curve Eir = initial modulus of rock kir = dimensionless constant
kir is calculated by
(3)
(4)
The relationship is divided into three portions: initial slope, transition, and ultimate resistance.
(5)
(6)
(7)
(8)
where,
y = horizontal displacement p = horizontal rock resistance per unit length yA = horizontal displacement end of linear portion krm = dimensionless constant, ranging from 0.0005 to 0.00005
The value of the yA is found solving the following equation,
(9)

[Reese, 1997] Reese, L. C. (1997). Analysis of laterally loaded piles in weak rock. Journal of Geotechnical and Geoenvironmental engineering, 123(11):1010–1017.
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