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Pad footing: bending and steel
Design soil pressure, moment at the column face and the bottom steel of a square pad footing. Reference: EN 1992-1-1 6.1, 9.8.2.
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# Materials
f_ck := 30 MPa
f_yk := 500 MPa
gamma_c := 1.5
gamma_s := 1.15
alpha_cc := 1.0
f_cd := alpha_cc*f_ck/gamma_c =
f_yd := f_yk/gamma_s =
# Footing
N_Ed := 1.35*800 kN + 1.5*400 kN =
B := 2.4 m
c := 0.4 m
h := 600 mm
d := 520 mm
b := B =
# Moment
q_Ed := N_Ed/B^2 = kN/m^2
M_Ed := q_Ed*B*((B - c)/2)^2/2 = kN*m
# Steel
K := M_Ed/(b*d^2*f_ck) =
k_1 := 0.8*alpha_cc/gamma_c =
z := min(d*(0.5 + sqrt(0.25 - 0.4*K/k_1)), 0.95*d) = mm
A_s := M_Ed/(f_yd*z) = mm^2
A_s.min := 0.0013*b*d = mm^2
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