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Axial resistance of a short column

Axial resistance of a concentrically loaded short column with the minimum moment from the minimum eccentricity. Reference: EN 1992-1-1 3.1.7, 6.1(4).

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# Inputs
b := 400 mm
h := 400 mm
A_s := 2513 mm^2
f_ck := 30 MPa
f_yk := 500 MPa
gamma_c := 1.5
gamma_s := 1.15
alpha_cc := 1.0
N_Ed := 3200 kN

# Resistance
f_cd := alpha_cc*f_ck/gamma_c =
f_yd := f_yk/gamma_s =
N_Rd := (b*h - A_s)*f_cd + A_s*min(f_yd, 400 MPa) = kN
# Steel stress limited to 400 MPa, the stress at a concrete strain of 0.002.
N_Ed <= N_Rd =

# Minimum moment
e_0 := max(h/30, 20 mm) =
M_min := N_Ed*e_0 = kN*m

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