## Appendix A  
For the verification of the data about the mechanical properties of the anchoring bolts, indicative measurements using Brinell hardness tests were carried out. The measured values of the diameters of the impressions on the anchor bolt corresponded to a strength R\({}_{\rm m}\) of approximately 510 MPa; according to the above, the material of the anchor bolts is close to steel at S355 JR. The yield strength is 355 MPa, ductility (reduction in area) 22%, and [PERSON]'s modulus is \(E=2\cdot 10^{5}\) MPa. The allowable tensile stress for anchor bolt \(\sigma_{DB}\) materials is  
\[\sigma_{DB}=\frac{R_{e}}{k_{e}}=\frac{355}{1.3}=273\,\text{MPa} \tag{1}\]  
where \(R_{e}\) is yield strength and \(k_{e}\) is the safety factor against yielding by tensile loading. In the case of steel bolts according to [24] we chose safety factor against yielding in the interval from \(k_{e}=1.3\div 1.5\) (the authors chose 1.3). The bolt is loaded by normal tensile stress from the maximum force in the bolt and by the shear stress from the frictional torque on the thread (torsion). For the most unfavourable case of loading during operation, where there is a full ladle on one side and no ladle on the other side, the maximum value of the force in the most loaded Bolts No. 9 and No. 10 (see Figure 2) is equal to:  
\[F_{\rm max}=346\,\text{kN}. \tag{2}\]  
The value of the maximum normal tensile stress induced by the maximum force \(F_{\rm max}\) in the bolt:  
\[\sigma_{t,\rm max}=\frac{F_{\rm max}}{A_{\rm min}}=\frac{346\cdot 10^{6}}{205 0.3}=168.8\,\text{MPa} \tag{3}\]  
where \(A_{\rm min}\) is the cross-section of the bolt core. The maximum shear stress from the frictional torque in the thread of the anchor bolt is equal to:  
\[\tau_{\rm max}=\frac{M_{f}}{Z_{P}}=68.7\,\text{MPa} \tag{4}\]  
where \(M_{f}\) is the torque required to overcome the friction on the thread from a preload force of 180 kN, \(Z_{P}\) is the polar modulus. The principal stresses in the anchor bolt are:  
\[\sigma_{1,3}=\frac{168.8}{2}\pm\sqrt{\left(\frac{168.8}{2}\right)^{2}+68.7^{2 }}, \tag{5}\]  
where \(\sigma_{1}=193.2\,\text{MPa}\) and \(\sigma_{3}=-24.4\,\text{MPa}\). The equivalent stress for the anchor bolt according to [PERSON] strength theory is equal to:  
\[\sigma_{eqv}^{von\,\text{M}\text{i}\  
\[F_{mB}=\frac{F_{\max B}+F_{\min B}}{2}=\frac{346+0}{2}=173\,\mathrm{kN} \tag{11}\]  
with amplitude \(F_{aB}\):  
\[F_{aB}=\frac{F_{\max B}-F_{\min B}}{2}=\frac{346-0}{2}=173\,\mathrm{kN}, \tag{12}\]  
where \(F_{\max B}\) and \(F_{\min B}\) are the maximum and minimum value of the axial force in the bolt during operation. The corresponding mean value of the normal stress \(\sigma_{mB}=84.4\,\mathrm{MPa}\), amplitude \(\sigma_{aB}=84.4\,\mathrm{MPa}\), and maximum stress \(\sigma_{\max B}=168.8\,\mathrm{MPa}\). The anchor bolt is simultaneously loaded by a static shear stress \(\tau_{\max B}=68.7\,\mathrm{MPa}\). A simplified Haigh diagram (Figure 11) has been constructed to determine safety under the cycling tensile loading of the anchor bolt. The values given in the diagram for the anchor bolts are based on the data of the mechanical properties of the bolt, as well as other parameters reducing the fatigue strength of the material. Considered values:  
\[ \begin{array}{l}\bullet\text{ Yield strength}\quad\quad R_{e}=355\, \mathrm{MPa};\\ \bullet\text{ Tensile strength}\quad\quad R_{m}=510\,\mathrm{MPa};\\ \bullet\text{ Fatigue limit}\quad\quad\sigma_{c}=178.5\,\mathrm{MPa};\\ \bullet\text{ Fatigue limit for the disappearing cycle}\quad\quad\sigma_{Hc}=305\,\mathrm{MPa};\\ \bullet\text{ Surface quality factor}\quad\quad\eta_{p}=0.87\,\mathrm{MPa};\\ \bullet\text{ Fatigue notch factor of Notch 4 was set to}\quad\quad\quad\beta=4\end{array}