## 8 Conclusions  
The study showed a novel concept for using acceleration measurements to calculate guiding forces and demonstrated its successful implementation. An advanced numerical model of the hoisting conveyance-steelwork system was developed, and a dynamic simulation of the interaction of the sliding plate with the guide was carried out. The main results can be concluded as follows:  
1. The position of the sliding plate relative to the guide was shown to have a significant effect on the value of the guiding force. In the force measurement methods that are currently in use, it is not possible to accurately determine the position of the force application point; hence, the use of extreme values to calculate the maximum bending effects of the guide can lead to a significant overestimation of the normal stress and deflection;
2. Unlike the commonly used empirical formulas, the numerical simulations considered the shaft conveyance as a deformable body and showed a minor effect of the transported mass on the value of the guiding force. This was explained by the absorbing spring effect of the deformable conveyance construction;
3. The accurate calculation of the actual moments of inertia indicated that simplified methods of their estimation led to their significant overestimation, which directly affected the values of the forces calculated on the basis of the standard empirical formulas;
4. The presented approach reduced the uncertainty in traditional methods of assessing guiding forces and, therefore, allowed for improved shaft steelwork design and maintenance.  
Accelerometric measurements, due to their simplicity, the relatively low cost of their equipment, and their small size, are an alternative to costly direct force tests and allow almost continuous measurement without interference with the stiffness of the conveyance-steelwork system. This is an unquestionable advantage over direct force measurements, which require a break in the normal operation of the shaft and are, therefore, possible practically only a few times per year due to the continuous nature of work in mines. An obstacle to using measurements for force calculations is the complexity of the system--the mass distribution and stiffness of the conveyance and steelwork. Dynamic numerical simulations make it possible to calculate force values while considering many factors that are omitted in analytical and empirical models. The difficulty in performing simulations is the need to develop a complex numerical model of the conveyance. However, in the case of a new hoisting conveyance, 3D models of the geometry are made at the design stage, and it is possible to export them to FEA programs. The use of accelerometers in new conveyances will allow the constant monitoring of guiding forces and the ability to adjust the velocity to the assumed force values. Such an approach, after field verification, will allow the introduction of a shaft reliability management system and safe operation even under conditions of damage or reduction in steelwork load capacity due to corrosion or other damage and will enable longer use of the shaft without the need for large, expensive renovations.  
Conceptualization, P.F. and J.J.; methodology, P.F. and J.J.; software, P.F. and J.J.; investigation, P.F. and J.J.; writing--original draft preparation, P.F. and J.J.; writing--review and editing, P.F. and J.J.; visualization, P.F. and J.J. All authors have read and agreed to the published version of the manuscript.  
This research received no external funding.  
Not applicable.  
The original contributions presented in this study are included in the article; further inquiries can be directed to the corresponding author.  
The authors declare no conflicts of interest.