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Bending and axial force on a Class 1 section

Reduced plastic moment resistance of a rolled I-section under axial compression and bending about the major axis. Reference: EN 1993-1-1 6.2.9.1.

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Bending and axial force on a Class 1 section: worked example sheet in Equation Pad with typeset equations and results.

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# Material
f_y := 355 MPa
gamma_M0 := 1.0

# Section IPE 300
A_g := 5381 mm^2
b_f := 150 mm
t_f := 10.7 mm
W_pl.y := 628e3 mm^3

# Actions
N_Ed := 400 kN
M_Ed := 150 kN*m

# Resistances
N_pl.Rd := A_g*f_y/gamma_M0 = kN
M_pl.y.Rd := W_pl.y*f_y/gamma_M0 = kN*m
n_N := N_Ed/N_pl.Rd =
a_w := min((A_g - 2*b_f*t_f)/A_g, 0.5) =
M_N.y.Rd := min(M_pl.y.Rd*(1 - n_N)/(1 - 0.5*a_w), M_pl.y.Rd) = kN*m
M_Ed <= M_N.y.Rd =

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