Analytical Investigation of the Tapered Thread Helix Angle

Today, tapered threads are very common in domestic pipe connections and especially in the oil and gas industry. Actually, the oil and gas assortment of connections is responsible for the operational strength of the connection and tightness of a drill-strings and casings. This means that the connectors have to provide significant requirements for the accuracy of the thread. Technological methods and design approaches cannot fully meet such requirements. The reason for this is the lack of accurate theoretical approaches to determine one of the main geometric parameters of a conical thread and the tool for its manufacture - the helix angle. In this research, on the vector and differential basis, the functional dependence of the helix angle on the main parameters of the thread: the pitch, the taper angle, the radius of the smaller base of the cone and the distance from it is obtained.