# Strong Rock \[Turner, 2006]

The *p-y* relationship is bilinear, defined by Eqn. (1) and Eqn. (2) , extending until it reaches the ultimate resistance in Eqn. (3). If $$p\_u$$ is attained, a brittle fracture is assumed.

$$
\tag{1}
p = 2000S\_uy \quad for \quad y \leq 0.0004b
$$

$$
\tag{2}
p = 100S\_uy \quad for \quad 0.0004b < y < 0.0024b
$$

$$
\tag{3}
p = p\_u = bS\_u \quad for \quad y \geq 0.0024b
$$

where,

$$p$$ = horizontal resistance per unit length $$y$$ = horizontal displacement $$b$$ = diameter of the shaft $$S\_u$$ = one half of the $$q\_u$$, unconfined compressive strength $$p\_u$$ = ultimate resistance per unit length

***

\[Turner, 2006] Turner, J. P. (2006). *Rock-socketed shafts for highway structure foundations*, volume 360. Transportation Research Board.


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