L · EN 10056-1

L 45×45/4.5

L 45×45/4.5 is an equal-leg steel angle per EN 10056-1: leg length 45 mm, thickness 4.5 mm, weight 3.1 kg/m, cross-section area 3.9 cm², moment of inertia Iy = 7.2 cm⁴, elastic section modulus Wel,y = 2.2 cm³.

Cross section · mm

45Leg a · mm

4.5Thickness t · mm

3.90Area A · cm²

3.10Mass G · kg/m

Geometry

Leg length a45.00 mm

Thickness t4.50 mm

Cross-section area A3.900 cm²

Centroid C_x=C_y12.6 mm

Weight G
steel 7850 kg/m³3.10kg/m

Section properties

Moment of inertia I_y=I_z7.150 cm⁴

Section modulus W_el2.207 cm³

Plastic modulus W_pl4.060 cm³

Radius of gyration i_y13.50 mm

Principal axes u–v

I_u11.350 cm⁴

I_v2.950 cm⁴

Reference

Profile standardEN 10056-1

EurocodeEN 1993-1-1 (EC3)

Check to EN 1993-1-1

Work out the utilisation of L 45×45/4.5 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/ 0.6 kN·m

Shear/ 31.0 kN

Compression/ 2.3 kN

Steelγ_M0γ_M1L_crmmkClass3

Resistances and factors

M_c,y,Rd / M_c,z,RdW_el0.6 kN·m / 0.6 kN·m

V_c,z,Rd / V_c,y,RdA_v = 195 mm²31.0 kN / 31.0 kN

N_pl,Rd / N_b,Rd107.3 kN / 2.3 kN

N_cr,y / N_cr,v5.9 kN / 2.4 kN

f_yEN 10025-2275 MPa

γ_M0 / γ_M11.00 / 1.00

Curve b · χ0.02

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.