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Pad footing: punching shear at 2d
Punching shear of a pad footing at the control perimeter 2d from the column, with the soil pressure inside it deducted. Reference: EN 1992-1-1 6.4.4(2).
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# Inputs
N_Ed := 1680 kN
B := 2.4 m
c := 0.4 m
d := 520 mm
f_ck := 30 MPa
gamma_c := 1.5
rho_l := 0.003
# For a footing the control perimeter is searched within 2d; here it is checked at a = d, where the enhancement 2d/a doubles the resistance.
# Control perimeter at a = d
a := d =
u := 4*c + 2*pi*a = mm
A_in := c^2 + 4*c*a + pi*a^2 = m^2
q := N_Ed/B^2 = kN/m^2
V_Ed.red := N_Ed - q*A_in = kN
v_Ed := V_Ed.red/(u*d) = MPa
# Resistance
k := min(1 + sqrt(200 mm/d), 2) =
v_min := 0.035*k^1.5*sqrt(f_ck/(1 MPa))*1 MPa =
v_Rdc := max(0.18/gamma_c*k*(100*rho_l*f_ck/(1 MPa))^(1/3)*1 MPa, v_min) =
v_Rd := v_Rdc*2*d/a =
v_Ed <= v_Rd =How to use this example
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