**E. The design resistance of the fillet welds.**


$$\left[\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right]^{0.5} = \left[0^{2} + 3\left(0^{2} + 116.3^{2}\right)\right]^{0.5} = 201.4 \text{ MPa} < \frac{f\_{\text{u}}}{\rho\_{\text{v}}\gamma\_{\text{M}\text{v}}} = \frac{490}{0.8125} = 435.6 \text{ MPa}, \tau\_{\perp}^{2}$$

$$\sigma\_{\perp} = 0 \text{ MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \text{ MPa},$$


$$\left[\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right]^{0.5} = \left[\left(-87.1\right)^{2} + 3\left(155.3^{2} + 0^{2}\right)\right]^{0.5} = 282.7 \text{ MPa} < \frac{f\_{\text{u}}}{\rho\_{\text{u}}\gamma\_{\text{M}\text{u}}} = \frac{490}{0.9125} = 435.6 \text{ MPa}, \tau\_{\perp}^{2}$$

$$\sigma\_{\perp} = 87.1 \text{ MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \text{ MPa},$$


$$\left[\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right]^{0.5} = \left[(-37.2)^{2} + 3\left(37.2^{2} + 116.2^{2}\right)\right]^{0.5} = 247.6 \text{ MPa} < \frac{f\_{u}}{\overline{\rho\_{\parallel}\rho\_{\text{Mur}}}} = \frac{490}{0.9 \cdot 1.25} = 435.6 \text{ MPa},$$

$$\sigma\_{\perp} = -72.1 \text{ MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \text{ MPa},$$


$$\begin{aligned} \left[\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right]^{0.5} &= \left[235.4^{2} + 3\left(85.8^{2} + 0\right)\right]^{0.5} = 278.4 \text{ MPa} < \frac{f\_{\text{v}}}{\beta\_{\text{v}} \gamma\_{\text{Mv}}} = \frac{490}{0.9 \cdot 1.25} = 435.6 \text{ MPa},\\ \sigma\_{\perp} &= 235.4 \text{ MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \text{ MPa}, \end{aligned}$$


$$\left[\left(\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right)^{0.5} = \left[\left(-3.7\right)^{2} + 3\left(125.5^{2} + 0^{2}\right)\right]^{0.5} = 217.4 \text{ MPa} \cdot \varsigma \frac{f\_{u}}{f\_{u}\gamma\_{\text{M}\nu}} = \frac{480}{0.5\cdot 125} = 435.6 \text{ MPa} \cdot \omega$$

$$
\sigma\_{\perp} = -3.7 \,\text{MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \,\text{MPa} /
$$


$$\left[\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right]^{0.5} = \left[\left(-66.3\right)^{2} + 3\left(66.3^{2} + 78.8^{2}\right)\right]^{0.5} = 190.3 \text{ MPa} < \frac{f\_{y}}{\left[\sigma\_{V}\right]\_{\text{Miv}}} = \frac{490}{0.5 \cdot 1.25} = 435.6 \text{ MPa},$$

$$\sigma\_{\perp} = -66.3 \text{ MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \text{ MPa},$$


$$\left[\sigma\_{\perp}^{2} + 3\left(\tau\_{\perp}^{2} + \tau\_{\parallel}^{2}\right)\right]^{0.5} = \left[121.8^{2} + 3\left(\left(-10.8\right)^{2} + 0^{2}\right)\right]^{0.5} = 123.2 \text{ MPa} < \frac{f\_{u}}{\rho\_{\parallel}\gamma\_{\text{Mav}}} = \frac{490}{0.5 \cdot 1.25} = 435.6 \text{ MPa},$$

$$\sigma\_{\perp} = 121.8 \text{ MPa} < \frac{0.9 \cdot 490}{1.25} = 352.8 \text{ MPa}.$$

The safety coefficient is equal: 435.6−282.7 435.6 · 100% <sup>=</sup> 35.1%.

**Author Contributions:** Conceptualization, M.B.; methodology, M.B. and F.B.; analysis, M.B. and F.B; writing, M.B. and F.B. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research was funded by grants numbers: S/WBiIS´/2/2017; W/WBiIS´/12/2019.

**Conflicts of Interest:** The authors declare no conflict of interest.

## **References**


© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

MDPI St. Alban-Anlage 66 4052 Basel Switzerland Tel. +41 61 683 77 34 Fax +41 61 302 89 18 www.mdpi.com

*Buildings* Editorial Office E-mail: buildings@mdpi.com www.mdpi.com/journal/buildings

MDPI St. Alban-Anlage 66 4052 Basel Switzerland

Tel: +41 61 683 77 34 Fax: +41 61 302 89 18