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Structural steel design properties

Yield and ultimate strengths by thickness, the factor epsilon and the slenderness lambda_1 used in buckling checks. Reference: EN 1993-1-1 3.2.1, 3.2.6, Table 3.1, 6.3.1.3.

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# Steel grade S355, thickness up to 40 mm
f_y := 355 MPa
f_u := 490 MPa
E_s := 210 GPa
nu := 0.3

# Derived values
G_s := E_s/(2*(1 + nu)) = GPa
epsilon := sqrt(235 MPa/f_y) =
lambda_1 := pi*sqrt(E_s/f_y) =
# lambda_1 = 93.9 epsilon; it is the slenderness at which the Euler stress equals the yield strength.

# Other grades
epsilon_275 := sqrt(235/275) =
epsilon_460 := sqrt(235/460) =

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