Active Earth Pressure Calculation for a Translational Retaining Wall Considering the Influence of Basement Inverse Slope

Data Availability Statement

Notation

B_y

width of any soil layer EF in sliding soil;

C_s

cohesive force of slip surface BC;

C_w

cohesive force of wall–soil contact surface AB;

c

cohesion of cohesive backfill;

c_w

wall–soil cohesion;

dG

gravity of thin-layer element EF;

dy

thickness of soil layer unit;

E_a

resultant force of earth pressure on retaining wall;

E_ah

horizontal component of resultant earth pressure on retaining wall;

G

gravity of triangle ABC;

H

retaining wall height;

h_a

height of resultant force action point;

K′

lateral earth pressure coefficient cohesionless backfill;

K

lateral earth pressure coefficient cohesive backfill;

K_a

Rankine’s active earth pressure coefficient;

M

overturning moment of active earth pressure;

N

force of slip surface BC on sliding soil body ABC;

$P_{C_s}$

power of force C_s;

$P_{C_w}$

power of force C_w;

P_G

power of force G;

P_p

power of resultant force acting on AC surface;

p

equivalent uniform overload acting on AC surface;

q

filling surface surcharge;

R

soil arch radius;

V_s

strain velocity at any point on the slip surface;

V_sw

relative velocity between wall and backfill;

V_w

translational velocity of wall;

y

vertical depth from AC plane;

y₀

depth of tensile crack;

β_a

dip angle of slip surface;

γ

unit weight of cohesive backfill;

δ

wall–soil friction angle;

η

reverse slope angle of the basement;

θ

stress deflection angle at any point in soil element EF;

θ_E

stress deflection angle of point E;

θ_F

stress deflection angle of point;

σ_ah

active earth pressure at the wall–soil contact surface of thin-layer element EF;

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

horizontal stress at any point after shifting the ordinate axis;

${\overline{\sigma }}_v$

average vertical stress of soil element EF;

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

vertical stress at any point after shifting the ordinate axis;

σ₁

major principal stress;

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

major principal stress after shifting the ordinate axis;

τ_s

shear stress at the slip surface of thin-layer element EF;

τ_w

shear stress of wall–soil interface; and

φ

internal friction angle.

References