Bolt Thread and Head Fillet Stress Concentration Factors

Author:

Lehnhoff Terry F.1,Bunyard Bradley A.2

Affiliation:

1. Department of Mechanical and Aerospace Engineering and Engineering Mechanics, 106C Mechanical Engineering Building, 1870 Miner Circle, University of Missouri, Rolla, Rolla, MO 65409-0050

2. Applications Engineering, Ferguson Company, St. Louis, MO

Abstract

Linear finite element analysis (FEA) was performed to determine stress concentration factors for the threads and the bolt head fillet in a bolted connection. The FEA models consisted of axisymmetric representations of a bolt and two circular steel plates each 20 mm in thickness. The bolts studied were 8, 12, 16, 20, and 24-mm-dia grade 10.9 metric bolts with the standard M thread profile. The threads were modeled at both the minimum and maximum allowable depths. The fillet between the bolt shank and bolt head connection was modeled at its minimum radius. Each bolt was loaded to its proof strength. A comparison is made to stress concentration factors typically used in bolted connection design. Stress concentration factors in the head fillet were 3.18, 3.23, 3.63, 3.58, and 3.90 for the 8, 12, 16, 20, and 24-mm bolts, respectively. Thread stress concentration factors were highest in the first engaged thread and decreased in each successive thread moving toward the end of the bolt. Stress concentration factors for the shallow thread models ranged from 1.17 to 4.33, 0.87 to 4.32, 0.83 to 4.67, 0.87 to 4.77, and 0.82 to 4.82 for the 8, 12, 16, 20, and 24-mm bolts, respectively. Likewise, stress concentration factors for the deep thread models ranged from 1.18 to 4.80, 0.88 to 4.80, 0.78 to 5.12, 0.83 to 5.17, and 0.82 to 5.22 for the 8, 12, 16, 20, and 24-mm bolts, respectively. [S0094-9930(00)01402-5]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference8 articles.

1. Oberg, E., Jones, F. D., Holbrook, H. L., and Ryffel, H. H., 1996, Machinery’s Handbook, Industrial Press, 25th Edition.

2. Avallone, A. A., and Baumeister, III, T., 1996, Marks’ Standard Handbook for Mechanical Engineers, McGraw-Hill, 10th Edition.

3. Lehnhoff, T. F., and Bunyard, B. A., 1998, “Effects of Bolt Threads on the Stiffness of Bolted Joints,” ASME, Anaheim, CA, Recent Advances in Solids and Structures, PVP-Vol. 381, pp. 141–146.

4. Lehnhoff, T. F., and Wistehuff, W. E., 1994, “Nonlinear Effects on the Stiffness of Bolted Joints,” ASME Pressure Vessels and Piping Conference, Minneapolis, MN.

5. Lehnhoff, T. F., and Wistehuff, W. E., 1996, “Nonlinear Effects on the Stiffness of Bolted Joints,” ASME J. Pressure Vessel Technol., 118, pp. 48–53.

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