This article describes the process of mechanical designing for an omnidirectional mobile robot Odin. It provides an explanation of the relation between a mobile robotic stair climbing system with shaped wheels and omnidirectional wheels, which are used together in a combined locomotive system. Only a conception study of the whole system is presented. Testing of mechanical parameters and driving abilities of the omnidirectional wheels was performed on a constructed simplified chassis.There was created an experimental calculation for a flange with a clamp connection linking a 3D model. This simplified chassis was the basis of a mobile robot named Odin, which was further improved by mounting a modular manipulator Schunk on its top. The article concludes with an evaluation of the achieved progress and indicates ways of further possible development for the omnidirectional mobile robot Odin.