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Abstract: The problem statement and boundary conditions for calculation of axial thermoelastic stresses in backups with unit collars of combined continuous casting and deformation are provided for production of three steel billets. The calculation scheme for determination of thermoelastic stresses in backups with collars in a known temperature field was stated using ANSYS software. The calculation results of thermoelastic stresses in shaped dies were performed in four sections of a backup with collars. In each section, calculation results are given for four typical lines and seven points. Values of axial thermoelastic stresses for seven typical points of each section are given for the contact surface of a backup with collars and the contact layer at a depth of 5 mm from the contact surface. The stress state of a shaped backup in the middle of depression between the middle collars was determined and the distribution regularities of axial and equivalent stresses over the thickness, length and width of a backup were established during slab compression and at idle. The calculation results of thermoelastic stresses in the top of the middle collar of a shaped backup on the contact surface and in the contact layer during slab compression and at idle are presented. Graphs of thermoelastic stress distribution along the line passing through the top of a collar are given, which show the zones of compressive and tensile thermoelastic stresses during slab compression and at idle. The character of the stress state in the base of extreme collar was determined for production of three steel billets in the unit of combined process of continuous casting and deformation. © 2021, Allerton Press, Inc.