Caissons in Cohesionless Soils Considering 3D Wedge under Earthquake Loading

Data Availability Statement

Notation

B

length of caisson foundation;

D

width of caisson foundation;

F

summation of the radial components of the tangential reactions;

G

shear modulus;

H

height of caisson foundation;

h

height of the idealized wedge;

K_dpe(α, t)

seismic passive earth pressure coefficient;

k_h

horizontal seismic acceleration coefficient;

k_v

vertical seismic acceleration coefficient;

m(z)_wedge

mass of thin element of 3D passive wedge;

P

reaction force provided by the foundation;

P_dpe(α, t)

passive earth pressure force per unit length of the caisson foundation;

P_hydrodynamic

hydrodynamic pressure;

p_dpe(α, t)

seismic passive earth pressure;

p_hydrodynamic

distribution of hydrodynamic pressure along height;

p_hydrostatic

distribution of hydrostatic pressure along height;

Q_h(α, t)

horizontal seismic inertia force;

Q_v(α, t)

vertical seismic inertia force;

R

soil reaction;

r_u

excess pore pressure ratio;

T

period of lateral shaking;

T_wedge

tangential reaction of soil acting on side area of the wedge;

u_h, u_v

horizontal and vertical displacement;

W_wedge

self-weight of the 3D passive wedge;

z

unit depth of the idealized wedge;

α

angle of inclination of the planar rupture surface with the horizontal;

β

base angle of the idealized wedge;

γ_dry

dry unit weight of soil;

${\gamma }_{\mathrm{equi}\mathrm{\_}\mathrm{effective}}$

equivalent effective unit weight of soil for submerged conditions;

γ_s

shear strain;

γ_sat

saturated unit weight of soil;

γ_sub

submerged unit weight of soil;

γ_w

unit weight of water;

δ

soil–wall interface friction angle;

θ

fanning angle of the idealized wedge;

ϕ

soil–soil interface friction angle;

η_s, η_l

viscosity;

λ

Lamé constant;

ξ

damping ratio of soil;

ρ

soil density;

τ

shear stress;

ψ

tangential stress coefficient;

ω

angular frequency; and

ωH/V_s, ωH/V_p

normalized frequencies.

References