Abstract
There is one subsistent group of relations based on theoretical knowledge which are used for the average contact pressure calculation on smooth rolls. The second group of relations is generated by empirical equations valid in restricted area of application. The new hypothesis of contact pressure distribution in dependence on rolling conditions is presented in this submission. A new term of non-dimensional value has been defined as relative stress. An equation for the average contact pressure calculation, presented by author moves the mathematical theory of rolling closer to practice. The relative stress is dependant on ratio ld/hav, reduction intensity and friction coefficient. The equation of relative stress in average contact pressure calculation allows for the presence of a minimum. The verification of new hypothesis of contact pressure distribution is in good consent with data measured in rolling practice.