of torque zone. Present time connections have similarities between the dimensions of the radially oriented surface of the free extreme of the male member and the corresponding surface of the female member, as well as between the area of resistance of the nose and the area of resistance of the shoulder. However, when torque is increased to present-time connections during assembly or subsequently during any operation with the assembled column, the combination of tensions produced in the shoulder of torque favor the development of stress that shears the material and provokes rupture of the shoulder, thus creating a weak point or critical zone in the connection because of torsional stress. To improve the performance of the connection with this type of stress, it is a common practice tosurface generally radially oriented located on the free extreme of one of the members, called nose, makes firm contact with an opposite annular surface generally radially oriented toward the other member and named shoulder of torque. The annular surface radially oriented of the first member is intersected in its minor diameter by the interior surface of the pipe. Alternatively, it intersects an internal cylindrical surface parallel to the axis of the pipe. Alternatively, it intersects a trunco-conical in shape surface which, at the same time, intersects the internal surface of the pipe, while the annular surface radially oriented of the second member intersects on its minor diameter with a trunco-conical shape surface radially oriented forming angle B which is between 5xc2x0 and 25xc2x0 with the axis of the