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Retaining wall: overturning and sliding

Overturning (EQU) with partial factors on the destabilising and stabilising actions, and sliding resistance. Reference: EN 1990 Table A1.2(A); EN 1997-1 6.5.3.

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# Actions per metre run
H := 4 m
gamma_s := 18 kN/m^3
phi_k := 30 deg
W := 240 kN/m
x_W := 1.4 m
delta := 20 deg

# Earth pressure
K_a := (1 - sin(phi_k))/(1 + sin(phi_k)) =
P_a := K_a*gamma_s*H^2/2 = kN/m

# Overturning (EQU)
M_dst := 1.1*P_a*H/3 = kN*m/m
M_stb := 0.9*W*x_W = kN*m/m
M_dst <= M_stb =

# Sliding
H_d := 1.35*P_a = kN/m
R_d := W*tan(delta) = kN/m
H_d <= R_d =

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More Eurocode 2 sheets on stairs and walls

The same topic in IS 456