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Abstract: The article describes the main loads affecting shaped backups of the combined process unit of continuous casting and deformation during billet production. The importance of determining the temperature fields and thermoelastic stresses in shaped backups with collars is provided during the formation of several billets, at slab compression, as well as during idling water cooling of backups. The authors describe strength and thermophysical properties of steel from which the backups are made. Geometry of backups with collars used for obtaining billets of three different shapes in one pass is shown. Initial data of the temperature field calculation are given for backups with collars of the combined unit. Temperature boundary conditions are considered for the temperature field calculation of backups with collars. Boundary conditions determining temperature of such backups are described and the values of the heat flow and effective heat transfer coefficient are given. The calculation results of temperature fields are performed in four sections and are given for typical lines and points located on the contact surface of backups with collars and in contact layer at 5-mm depth from the working surface. The sizes of the finite element grid, which is used for the temperature field calculation of backups with collars, are provided. The temperature field of backups with collars is determined based on the solution regarding the unsteady thermal conductivity equation corresponding to initial and boundary conditions. When obtaining billets of three shapes in one pass at the unit of combined continuous casting and deformation, values and regularities of temperature distribution in the bases and tops of the middle and extreme edges of the shaped backups are presented during slab compression and at idle. © 2020, Allerton Press, Inc.