L · EN 10056-1

L 180×180/20

L 180×180/20 is an equal-leg steel angle per EN 10056-1: leg length 180 mm, thickness 20 mm, weight 53.6 kg/m, cross-section area 68.3 cm², moment of inertia Iy = 2043 cm⁴, elastic section modulus Wel,y = 159.4 cm³.

Cross section · mm

180Leg a · mm

20Thickness t · mm

68.30Area A · cm²

53.60Mass G · kg/m

Geometry

Leg length a180.00 mm

Thickness t20.00 mm

Cross-section area A68.300 cm²

Centroid C_x=C_y51.8 mm

Weight G
steel 7850 kg/m³53.60kg/m

Section properties

Moment of inertia I_y=I_z2 043.000 cm⁴

Section modulus W_el159.360 cm³

Plastic modulus W_pl289.330 cm³

Radius of gyration i_y54.70 mm

Principal axes u–v

I_u3 244.000 cm⁴

I_v841.300 cm⁴

Reference

Profile standardEN 10056-1

EurocodeEN 1993-1-1 (EC3)

Check to EN 1993-1-1

Work out the utilisation of L 180×180/20 for your design forces

Find the lightest section Compare sections

Enter the design loads and the section is checked for bending, shear and compression with flexural buckling.

Bending/ 42.2 kN·m

Shear/ 522.5 kN

Compression/ 551.0 kN

Steelγ_M0γ_M1L_crmmkf_y265MPaClass3

Resistances and factors

M_c,y,Rd / M_c,z,RdW_el42.2 kN·m / 42.2 kN·m

V_c,z,Rd / V_c,y,RdA_v = 3415 mm²522.5 kN / 522.5 kN

N_pl,Rd / N_b,Rd1.81 MN / 551.0 kN

N_cr,y / N_cr,v1.69 MN / 697.5 kN

f_yt = 20.0 mm > 16 mm, EN 10025-2265 MPa

γ_M0 / γ_M11.00 / 1.00

Curve b · χ0.30

Yield strength is taken from the product standard for the governing thickness, so above 16 mm it is lower than the nominal grade. Simplified checks per EN 1993-1-1, without M+N+V interaction, without lateral-torsional buckling and without web shear buckling. Verify with a full design.

For angles the bending values refer to the axes parallel to the legs, which are not principal axes. A moment about one of them also bends the section about the other, so bending has to be resolved into the principal axes u and v and checked biaxially. Buckling already uses the weaker principal axis v.