A Hyperbolic p–y Criterion for Flexible Piles in Weathered Rock Mass

Data Availability Statement

Notation

A_bΔ, A_b $\boxed{}$

area of the wedge bottom surface for the triangular and rectangular areas, respectively;

A_s

area of the wedge side surface;

a, m_b, m_i, s

constants of the Hoek–Brown failure criterion;

c′

effective cohesion;

D

disturbance factor;

d

pile diameter;

d_ref

reference pile diameter;

E_e

effective Young’s modulus of the pile;

E_i

Young’s modulus of intact rock;

E_m

Young’s modulus of rock mass;

E_p

Young’s modulus of the pile;

(EI)_c

actual bending rigidity of the pile;

E_m1

Young’s modulus of rock mass (Liang et al. 2009);

E_m2

Young’s modulus of rock mass (proposed p–y criterion);

F_nb, F_sb

normal and shear forces applied to the wedge bottom surface;

F_nbΔ, $F_{nb}\boxed{}$

normal force applied to the wedge bottom surface for the triangular and rectangular areas, respectively;

F_sbΔ, $F_{nb}\boxed{}$

shear force applied to the wedge bottom surface for the triangular and rectangular areas, respectively;

F_ns, F_ss

normal and shear forces applied to the wedge side surface;

F_t

total resistance force;

G

shear modulus of the rock mass;

G*

equivalent shear modulus of the rock mass;

GSI

geological strength index;

H

wedge height;

I_p

moment of inertia of the pile;

K_i

initial stiffness of the p–y curve;

K_o

earth pressure coefficient at rest;

k_i

dimensionless constant;

L

pile length;

MR

modulus ratio;

P_L

normal limit stress;

P

resistance of rock mass per unit length;

P_u

ultimate resistance of rock mass per unit length;

RQD

rock quality designation;

y

lateral displacement;

z

depth below the rock surface;

ƒ

reduction factor;

β

wedge bottom angle;

γ′

effective unit weight of rock mass;

δ

Radial angle;

θ

wedge fanning angle;

ν

rock mass Poisson’s ratio;

${\sigma }_1^{\mathrm{\prime }}$

major effective principal stresses;

${\sigma }_3^{\mathrm{\prime }}$

minor effective principal stresses;

σ_ci

unconfined compressive strength of the intact rock;

σ_n

normal stress;

${\sigma }_{vo}^{\mathrm{\prime }}$

overburden pressure;

τ

Shear stress;

τ_max

rock–pile interface side shear resistance; and

φ′

effective friction angle.

References