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Column slenderness and the slenderness limit

Slenderness ratio of a rectangular column and the limit below which second order effects may be ignored. Reference: EN 1992-1-1 5.8.3.1, 5.8.3.2.

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# Inputs
b := 350 mm
h := 350 mm
l_0 := 4.2 m
N_Ed := 1500 kN
f_ck := 30 MPa
gamma_c := 1.5
alpha_cc := 1.0
A := 0.7
B := 1.1
C := 0.7
# A, B and C take their default values when phi_ef, omega and r_m are not known.

# Slenderness
i_r := h/sqrt(12) =
lambda := l_0/i_r =

# Limit
f_cd := alpha_cc*f_ck/gamma_c =
n := N_Ed/(b*h*f_cd) =
lambda_lim := 20*A*B*C/sqrt(n) =
lambda <= lambda_lim =
# Here lambda is above the limit, so the column is slender and second order effects must be included (see the nominal curvature sheet).

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