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TECHNICAL PAPERS

Investigation into the Effect of the Nut Thread Run-Out on the Stress Distribution in a Bolt Using the Finite Element Method

[+] Author and Article Information
J. W. Hobbs, R. L. Burguete, E. A. Patterson

Department of Mechanical Engineering, University of Sheffield, Sheffield, S1 3JD, UK

J. Mech. Des 125(3), 527-532 (Sep 04, 2003) (6 pages) doi:10.1115/1.1567312 History: Received February 01, 2000; Revised September 01, 2002; Online September 04, 2003
Copyright © 2003 by ASME
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References

Den Hartog,  J. P., 1929, “The Mechanics of Plate Rotors for Turbo-generators,” Trans. ASME, Paper no. APM S1-1, 51, pp. 1–10.
Sopwith,  D. G., 1948, “The Distribution of Load in Screw Threads,” Inst. Mech. Engrs., App. Mech. Proc., 159, pp. 373–383.
Goodier,  J. H., 1940, “Distribution of Load on Threads of Screws,” Trans. ASME, 62, pp. A10–A16.
Maruyama,  K., 1973, “Stress Analysis of a Nut-bolt Joint by the Finite Element Method and the Copper-Electroplating Method (1st report),” Bull. JSME16(94), pp. 671–678.
Maruyama,  K., 1974, “Stress Analysis of a Nut-bolt Joint by the Finite Element Method and the Copper-Electroplating Method,” Bull. JSME 17(106), pp. 442–450.
Hetényi,  M., 1943, “A Photoelastic Study of Bolt and Nut Fastenings,” Trans. ASME, 65, pp. A93–A100.
Hetényi,  M., 1943, “The Distribution of Stress in Threaded Connections,” Expt. Stress Anal., 1(1), pp. 147–156.
Brown,  A. F. C., and Hickson,  V. M., 1952, “A Photoelastic Study of Stress in Screw Threads,” Proc. Inst. Mech. Eng., IB, pp. 605–612.
Fessler,  H., and Jobson,  P. K., 1983, “Stresses in the Bottoming Stud Assembly with Chamfers at the Ends of the Threads,” J. Strain Anal., 18(1), pp. 15–22.
Fessler,  H., and Wang,  Jiong-Hua, 1984, “Stresses Analysis of Some Unsymmetric Screwed Connections,” J. Strain Anal., 19(2), pp. 111–119.
Kenny,  B., and Patterson,  E. A., 1985, “Load and Stress Distributions in Screw Threads,” Experimental Mechanics, 25, pp. 208–213.
Bretl,  J. L., and Cook,  R. D., 1979, “Modelling the Load Transfer in Threaded Connections by the Finite-Element Method,” Int. J. Numer. Methods Eng., 14(9), pp. 1359–1377.
Zhao,  H., 1994, “Analysis of the Load Distribution in a Bolt-nut Connector,” Comput. Struct., 53(6), pp. 1465–1472.
Zhao,  H., 1996, “A Numerical Method for Load Distribution in Threaded Connections,” ASME J. Mech. Des., 118, pp. 274–279.
Dragoni, E., 1992, “Effect of Thread Pitch and Frictional Coefficient on the Stress Concentration in Metric Nut-bolt Connections,” OMAE-Volume III-B, Materials Engineering, ASME, pp. 355–362.
Fukuoka,  T., 1997, “Evaluation of the Method for Lowering Stress Concentration at the Thread Root of Bolted Joints with Modifications of Nut Shape,” ASME J. Pressure Vessel Technol., 119, pp. 1–9.
Glinka, G., and Newport, A., 1990, “Stress Concentration in Threaded Connections Under Cyclic Loading,” Proc. 9th Int. Conf. OMAE Vol. III Part A., pp. 269–276.
Rhee, H. C., 1990, “Three-dimensional Finite Element Analysis of a Threaded Joint,” Proc 9th Int. Conf. OMAE Vol. III Part A., pp. 292–297.
Burguete,  R. L., and Patterson,  E. A., 1994, “The Effect of Bending on the Normalized Stress at Roots of Threaded Connectors,” ASME J. Offshore Mech. Arct. Eng., 116, pp. 163–166.
Burguete,  R. L., and Patterson,  E. A., 1997, “A Photoelastic Study of Contact Between a Cylinder and a Half-Space,” Exp. Mech., 37(3), pp. 314–323.
Fukuoka,  T., Yamasaki,  N., Kitagawa,  H., and Hamada,  M., 1986, “Ratio of Flank Loads of Screw Threads in Hollow-bolt,” Bull. JSME 29, pp. 265–272.

Figures

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Two-dimensional finite element model of bolt, nut and washer containing 2667 elements.
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Variation in maximum normalized stress occurring in the first thread root with the number of elements used to model the curved profile of the thread root, as shown in the inserts
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Development of thread profile at the end of the nut using chamfered run-out (left column) and flat run-out (right column). Meshes represent sections at 90 deg intervals around the helix starting from the clamped face of the nut, (top).
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Cross sectional view of the three-dimensional model that included the nut thread run-out. The models used 32 elements around the circumference, and 4 around the thread root. In the three-dimensional model without the run-outs of the thread the surfaces at the ends of the nut and bolt were helical.
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Detail of the nut thread run-out in the second three-dimensional model in which the thread run-out was simulated at the loaded end only. This resulted in a plane face for the clamped end of the nut, and a helical face at the free end, which is not shown.
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Contours of maximum principal stress obtained for a two-dimensional finite element model (left) compared to the photoelastic fringe pattern obtained in a fringe multiplying polariscope (right).
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Distribution of normalized peak stress in the thread root of the bolt as a function of distance along the helix from the clamped end of the nut. Axi-symmetric finite element analyses were performed with two types of run-out on the nut and are compared with results from experiment 19.
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Distribution of normalized peak stresses in the thread root of the bolt as a function of distance along the helix from the clamped end of the nut. Three-dimensional models were used with and without the thread run-out included. Experimental results 19 are shown for comparison with numerical results obtained with a coefficient of friction of 0 and 0.6.

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