Deformations in Round-Profiled Threads and their Influence on the Screw Durability

I. Penkov(1*), V. Strizhak(2), A. Sivitski(3)

(1) Tallinn University of Technology (TUT), Estonia
(2) Tallinn Polytechnical University (TPI), Estonia
(3) Tallinn University of Technology (TUT),, Estonia
(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)


The article discusses a calculation procedure for determining deformations and load distribution in round-profiled threads under general load conditions. It is shown that on manufacturing of threaded parts with different classes of accuracy owing to a small theoretical linear contact between screw and nut threads the real contact can be moved up to rounded portions of the thread crests.  In this case the contact and bending deformations of the threads will have a great influence on the screw durability. The equations for calculation both these deformations and the deformations from thread shearing are given. The load distribution in screw drive with the round-profiled thread is shown in comparison with the load distribution in the widely used screw-drive with the trapezoidal thread. The law of change of the load value on the most loaded thread depending on a screw diameter and a number of the working threads are given as well. A comparative analysis for guarantee the equal durability of the thread and the screw shank is carried out
Copyright © 2014 Praise Worthy Prize - All rights reserved.


Screw Drive; Round Thread; Deformations; Load Distribution

Full Text:



H. Lim, J.-W. Seo and C.-H. Choi. Torsional Displacement Compensation in Position Control for Machining Centers. Control Engineering Practice, Vol. 9, n. 1, pp. 79-87, 2001.

J.-Y. Liu, M.-H. Hsu, F.-C. Chen. On the Design of Rotating Speed Functions to Improve the Acceleration Peak Value of Ball-Screw Transmission Mechanism. Mechanism and Machine Theory, Vol. 36, n. 9, pp. 1035-1049, 2001.

S.-C. Huang. Analysis of a Model to Forecast Thermal Deformation of Ball Screw Feed Drive Systems. International Journal of Machine Tools and Manufacture, Vol. 35, n. 8, pp. 1099-1104, 1995.

H. S. Yan, J. Y. Liu, Geometric Design and Machining of Variable Pitch Lead Screw with Cylindrical Meshing Elements, ASME Transactions, Journal of Mechanical Design, Vol. 115, n. 3, pp. 490-495, 1993.

V. V. Kozirev, and S. O. Hudyakov. Investigation of Influence of Geometrical Parameters of Teeth Crests on Kinematical Errors of Drive with Long Thread Rollers. Bulletin of Mechanical Engineering. n. 5, pp. 15-19, 2005.

A. I. Yakushev, R. H. Mustayev and R. R. Mavlyutov. Increase of Endurance and Reliability of Threaded Joints. (1st Edition, Machine-building, 1979).

V. V. Morozov, V. I. Panjuhin and V. V. Panjuhin. Teeth-Screw Drives for Transformation of Rotary Motion to Linear. (1st Edition, Vladimir State University, 2000).

J. Ebert. The Tensioning of Lead Screws with Rolling Bearing Supports. http:/, 2007.

S. Hosokawa, S. Sato and T. Tumura. Deformation of Nut in Threaded Connection. Bull. Jap. Soc. Prec. Eng., Vol. 23, n. 1, pp, 47-52, 1989.

B. B. Gogolev, I. V. Sinodeev and V. A. Marusov. Investigation of Axial Pliability of Contact Layer of Threaded Connection in Planetary Screw Drive. Bulletin of Mechanical Engineering. n. 9, pp. 33-35, 1988.

Application Engineering, Types of Loading, Torsional & Axial Deflection, http:/, 2007.

I. A. Birger, G. B. Iosilevich. Threaded and Flanged Joints (3rd Edition, Machine-building, 1990).

K. K. Varanasi, S. A. Nayfeh, The Dynamics of Lead-Screws Drives: Low-Order Modelling and Experiments, ASME Transactions, Journal of Dynamic Systems, Measurement, and Control, Vol. 126, n. 4, pp. 388-396, 2004.

A. V. Shalamov and P. G. Mazein. Dynamic Model of Ball-Screws. Informations of Chelabinsk Scientific Sentre, n. 4 (17), 2002.

I. S. Antonov. Force Determination in Screws on Shock Loading. Bulletin of Mechanical Engineering. n. 7, pp. 27-29, 1982.

X. Mei, M. Tsutsumi, T. Tao, N. Sun. Study on the Load Distribution of Ball Screw with Errors, Mechanism and Machine Theory, Vol. 38, n. 11, pp, 1257-1269, 2003.

D. A. Lange, The (Load) Path to Ball Screw Reliability, http:/, 2007.

B. Kenny and E. A. Patterson. Load and Stress Distribution in Screw Threads. Exp. Mech., Vol. 25, n. 3, pp. 208-213, 1985.

I. N. Budilov and V. S. Zhernakov. The Analysis of Stress-Deformation Condition of Threaded Parts. Bulletin of Mechanical Engineering. n. 7, pp. 15-17, 1995.

V. S. Zhernakov, I. V. Rokityanskaya and I. S. Hakamov. Determination of Factor of Stress Intensity in Thread. Bulletin of Mechanical Engineering. n. 6, pp. 33-35, 1988.

Iosilevich G. B. Concentration of Stress and Deformations in Machine Elements. (1st Edition, Machine-building, 1981).

DIN 405

V. Strizhak, Determination of Threaded Pliability of Round-Profiled Threads, Proc. of the OST Symposium on Machine Design, Stockholm, Sweden, 1999, pp. 141-148.

W. D. Pilkey, Peterson's Stress Concentration Factors (2nd Edition, John Wiley  Sons, Inc., 1997).


  • There are currently no refbacks.

Please send any questions about this web site to
Copyright © 2005-2017 Praise Worthy Prize