A Calculation of the Main Load Coefficient in Threaded Connections
Authors: Ryahovskiy O.A., Syromyatnikov V.S. | Published: 14.08.2019 |
Published in issue: #8(713)/2019 | |
Category: Mechanical Engineering and Machine Science | Chapter: Machine Science | |
Keywords: threaded connection, rigidity of parts, coefficient of the main load, deformation of parts, tightening force, regression analysis |
Threaded connections of machine parts are widely used in various technical devices. The needs of modern machines stimulate the development of accurate methods for calculating and assembling threaded connections. The problem of calculating the strength of the connection is associated with determining the coefficient of the main load that affects the distribution of the external load between the bolt and the machine parts. One part of the load falls on the bolt; the other part unloads the connection elements. Until recently, when calculating the coefficient of the main load, approximations or recommendations to take its value in the range of 0.2–0.3 have been used. This paper refines the calculations and presents specific mathematical expressions for a computer program developed for calculating the coefficient of the main load. The calculation results show that the value of coefficient of the main load varies over a wide range depending on the bolt diameter, thickness, material of the parts, etc. An analysis of the results of programming and the construction of the regression dependence of the coefficient of the main load on the thickness of the connection for a given series of standard bolts is carried out using the statistical package Statgraphic Plus. Regression simplifies the calculation of the coefficient of the main load for any thickness of parts with a slight decrease in accuracy.
References
[1] Brown K.H., Morrow C., Durbin S., Baca A. Guideline for Bolted Joint Design and Analysis: Version 1.0. California, Sandia National Laboratories, 2008. 47 p.
[2] Fernando S. An engineering insight to the fundamental behavior of tensile bolted joints. Journal Steel construction, 2001, vol. 35, no. 3, pp. 76–88.
[3] Syromyatnikov V.S., García J.M., Ortega M.G., Zamora L.A. The Optimum Preload of a Threaded Joint against Joint Separation. Proceedings of Higher Educational Institutions. Маchine Building, 2016, no. 12, pp. 43–50 (in Russ.), doi: 10.18698/0536-1044-2016-12-43-50
[4] Ivanov M.N., Finogenov V.A. Detali mashin [Machine parts]. Moscow, Vysshaya shkola publ., 2008. 408 p.
[5] GOST 7798–2008. Bolty s shestigrannoy golovkoy i shestigrannyye gayki diametrom do 48 mm [State Standard 7798–2008. Hexagon bolts, product grade B. Construction and dimensions]. Moscow, Standartinform publ., 2010. 13 p.
[6] Weiskamp K. Advanced Turbo C Programming. New York, Academic Press, Inc. 1988. 554 p.
[7] Podzharov E.I., Syromiatnikov V.S., Ponce Navarro J.P. Fundamentos del Diseño de Máquinas [Fundamentals of Machine Design]. Lulu. com, 2011. 200 p.
[8] GOST 11371–78. Shayby. Tekhnicheskiye usloviya [State Standard 11371–78. Washers. Specifications]. Moscow, Standartinform publ., 2000. 6 p.
[9] GOST 24705–2004. Osnovnyye normy vzaimozamenyayemosti. Rez’ba metricheskaya. Osnovnyye razmery [State Standard 24705–2004. Basic norms of interchangeability. Metric screw thread. Basic dimensions]. Moscow, Standartinform publ., 2008. 20 p.
[10] GOST 5915–2008. Gayki shestigrannyye klassa tochnosti V. Konstruktsiya i razmery [State Standard 5915–2008. Hexagon nuts, product grade B. Construction and dimensions]. Moscow, Standartinform publ., 2010. 12 p.
[11] Budynas R.G., Nisbett J.K. Shigley’s mechanical engineering design. McGraw-Hill, 2014. 1104 p.
[12] Detali mashin [Machine parts]. Ed. Ryakhovskiy O.A. Moscow, Bauman Press, 2014. 465 p.
[13] GOST 11284–75. Otverstiya skvoznyye pod krepezhnyye detail [State Standard 11284–75. Through holes for fasteners]. Moscow, Standartinform publ., 2006. 4 p.
[14] Dwight H.B. Tables of integrals and other mathematical data. New York, Macmillan Company, 1957. 198 p.
[15] Nau R. Statgraphics. Version 5: Overview & Tutorial Guide. Fuqua School of Business, Duke University, 2005. 22 p.