Calculation of elements of smooth cylindrical connection, size from 1 to 500 mm is performed. According to the known value of the nominal size, main deviations, qualitets of the shaft and the hole, the upper and lower deviations, limit dimensions, tolerances, values of the limiting clearances and tightness of the connection are determined, and the layout of the tolerance fields is plotted. Used materials and methods set out in ST SEV 144-75 "Tolerance fields and recommended fits".