The paper submits a computer analysis of a vacuum gripping element, a suction cup with the rigid supporting plate, loaded radially. Results of the computer simulation are used when designing new vacuum gripping elements which have a function of a controlled modification of the friction behaviour and adhesive properties of the element contact surface with a view to increase a carrying capacity in the radial direction keeping the vacuum levels used standardly. The designed vacuum elements will be used for technologically demanding processes during flat glass working having only limited energetic connection with their vicinity, and also for robotized handling objects of the plate design. A next field of application will include an induction of hold-down forces in climbing of service robots on glass facades of high-rise buildings [1, 2].