Coupled Bearing Capacity Factor for Strip Foundations on Cohesive-Frictional Soil Slopes under Static and Seismic Conditions

Data Availability Statement

Notation

c

unit cohesion of soil medium;

c*

modified value of unit cohesion of soil medium;

$h_i^{\mathrm{\prime }}\mathrm{and}{g}_i^{\mathrm{\prime }}$

nondimensional coefficients;

i

inclination of resultant load on the foundation with vertical;

k_eq

equivalent horizontal seismic acceleration coefficient to account for k_v;

k_h

horizontal seismic acceleration coefficient;

k_h,eq

k_h or k_eq;

k_h,Limit

limiting values of k_h corresponding to stable slope;

k_v

vertical seismic acceleration coefficient;

Mn

ratio of Q_h to Q_v;

N_c(ϕ, β, k_h)

bearing capacity factor with respect to weightless cohesive soil medium;

${\tilde{N}}_s$

coupled bearing capacity factors for cohesive-frictional soil medium;

$N_{\gamma }(\varphi ,\beta ,k_h)$

bearing capacity factor with respect to purely frictional soil medium;

Q_h

horizontal force (or) load on foundation;

q_u

vertical bearing capacity of foundation;

Q_v

vertical force (or) load on foundation;

R₀

length of the initial radial line;

R_ξ

length of the radial line at any angle ξ from R₀;

Sn

stability number;

T_i

vector of tractions on the loaded boundary surface A;

V₀

velocity of foundation or the underlying triangular rigid zone pqr;

V_i

kinematically admissible velocity field;

V_L

velocity of the outermost end triangular rigid zone pst;

V_ξ

velocity of any angle ξ from R₀;

X_i

vector of distributed forces within the region Γ;

Xn

cohesive strength parameter;

α, μ, and δ

angular variables used for defining the collapse geometry;

β

inclination angle of sloping ground;

γ

unit weight of soil medium;

ϕ

angle of the internal friction of soil medium;

ϕ*

modified value of the angle of internal friction of soil medium; and

ψ

angle of dilatancy of soil medium.

References