STABILITY ANALYSIS OF THIN BAR SUBJECTED TO A LOADING SYSTEM WITHIN COMPLEX BOUNDARY CONDITIONS

Abstract

The research on determination of the statical and lateral stability region of thin bar subjected to a loading system within the complex boundary conditions has been studied in this paper. The loading system includes axial force, uniformly distributed loads and bending moment at both ends of the bar. Both ends of the bar are embeded steadily, while in the literature elsewhere they are simply pin supports. Energetic and analytical methods were used to solve the proposed problem. Having said that, the authors have developed an explicit mathematical model that allows calculating and analysing the critical state of thin bar under the abovementioned complex loading system. Besides, the numerical calculation to verify the reliability of the obtained model was also carried out and it turned out the relatively insignificant error. The outcomes of this paper could be used broadly for mechanical and civil engineering, as well as many others in the engineering area.