Study of changes in the thermally stressed state of a rod with mobility of one pinched wall

A horizontal rod of limited length and constant cross-section is considered. The side surface of the rod under study is completely thermally insulated. A heat flux of constant intensity q is applied to the cross- sectional area of the left end of the rod. At that time, heat exchange with the environment surrounding this area occurs through the cross-sectional area of the right end. At the same time, both ends of the rod are rigidly pinched. The influence of the mobility of the wall of the right end of the pinching is investigated. To do this, the fundamental law of conservation of energy and quadratic spline functions constructed in the local local coordinate system are used. The law of temperature distribution along the length of the rod under study is determined. Also, the laws of distribution of the components of deformations and stresses, as well as the displacement field. The influence of the displacement of the right wall of the pinching on the laws of distribution of the components of deformations, stresses and displacement is investigated. Also, the effect of the mobility of one pinching wall on the magnitude of the resulting axial force is investigated.