# A beam is welded with fillet welds to an end plate. How can the weld stresses be calculated?

Figure 1 shows a bending-resistant beam connection by fillet welds. The cross-section of the beam is an IPE 300, S235. External flange fillet welds (a = 7 mm, l = 150 mm), along the inside of the flanges fillet welds (a = 5 mm, l = 50 mm) as well as web double fillet welds (a = 4.5 mm, l = 239 mm) are used. Bending moment acting on connection is M y = -106.11 kNm.
It is believed that the fillet welds are concentrated in the root lines.

It follows:
A = 2 ∙ 0.7 ∙ 15 + 2 ∙ 0.45 ∙ 23.9 + 4 ∙ 0.5 ∙ 5.0 = 52.51 cm ²
I y = 2 ∙ 0.7 ∙ 15 ∙ 15.0² + 2 ∙ 0.45 ∙ 23.9³ / 12 + 4 ∙ 0.5 ∙ 5.0 ∙ (15 - 1.07) ² = 7690 cm 4

At the end of the double fillet weld of the web, the following tension results:
σ = 10611/7690 ∙ 11.95 = 16.49 kN / cm²

The fillet welds are modelled in DUENQ and entered as internal force M y = -106.11 kNm. The same values are obtained after the calculation as in the above calculation (see Figure 2).