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Drained bearing resistance of a pad footing (EN 1997-1 Annex D)
Design angle of shearing resistance, bearing and shape factors and the design bearing resistance of a square pad (Design Approach 1, combination 2). Reference: EN 1997-1 6.5.2, Annex D.4.
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# Soil and footing
phi_k := 32 deg
c_k := 0 kPa
gamma_s := 19 kN/m^3
B_f := 2.0 m
L_f := 2.0 m
D_f := 1.0 m
gamma_phi := 1.25
# Design value
phi_d := atan(tan(phi_k)/gamma_phi)*1 rad = deg
# Factors
N_q := exp(pi*tan(phi_d))*tan(45 deg + phi_d/2)^2 =
N_gamma := 2*(N_q - 1)*tan(phi_d) =
s_q := 1 + (B_f/L_f)*sin(phi_d) =
s_gamma := 1 - 0.3*(B_f/L_f) =
# Resistance
q_0 := gamma_s*D_f = kPa
q_Rd := q_0*N_q*s_q + 0.5*gamma_s*B_f*N_gamma*s_gamma = kPa
R_d := q_Rd*B_f*L_f = kN
V_d := 2000 kN
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