Determination of thermally stressed state of rod elements of variable cross section under the impact of a lateral heat flow, heat exchange and surface thermal insulation

Abstract

A horizontal bar of limited length is considered. The radius of the bar changes linearly along its length. The cross-sectional area of the left end is larger than the right. The lateral surface of the investigated rod is completely insulated. The heat flux is applied to the cross-sectional area of the left end. Heat exchange with the environment takes place through the cross-sectional area of the right end of the rod. The work determines the field of temperature distribution, displacement, three components of deformation and stress, provided that both ends of the rod are rigidly fixed. The amount of bar elongation is also determined when one end of the bar is fixed and the other is free. In case when the two ends of the bar are fixed, the value of the resulting axial compressive force is calculated. In this study the fundamental laws of conservation of energy were used.

Keywords

• elongation
• axial force
• section
• temperature
• displacement
• deformation
• stress