Abstract
The thread load distribution has been examined, as is known, in literature both theoretically and experimentally. in the present paper the load distribution is validated by strain-gage measurements. Starting from the theoretical load distribution the stresses on the outer surface of the female member of a threaded connection are calculated. The theoretical and experimental stress values obtained are reasonably close.
Similar content being viewed by others
Abbreviations
- D e :
-
outside diameter of female screw
- D m :
-
mean diameter of thread
- D mw :
-
mean diameter of female screw wall
- E :
-
Young’s modulus
- F :
-
total axial load on connection
- F k :
-
axial load onk thread turn (the engaged thread turns are numbered starting from the unthreaded part of male screw)
- l :
-
pitch of thread
- M ok :
-
bending moment per unit length
- n :
-
total number of ungaged thread turns
- P k :
-
radial load per unit length
- u :
-
radial displacement for threaded element bodies
- U k ,W k :
-
radial and axial displacements evaluated onD m diameter circumference of the active flank ofk thread turn, considered as a cylindrical collar perfectly clamped at its base
- γ:
-
semi-angle of thread
- Δl i :
-
pitch variation betweeni andi+1 thread turns
- \(\varepsilon _x , \varepsilon _\theta\) :
-
axial and tangential unit elongation of the body
- \(\sigma _z , \sigma _r , \sigma _\theta\) :
-
normal component of stress in the axial radial and tangential direction
- ′:
-
male screw
- ″:
-
female screw
References
Stromeyer, C.E., “Stress Distribution in Bolts and Nuts”,Trans. Inst. N.A.,60,112–117 (1918).
Den Hartog, J.P., “The Mechanics of Plate Rotors for Turbo Generators”,Trans. ASME,51,1–10 (1929).
Madushka, L., “Beanspruchung von schraubenverbindungen und zweckmassige gestaltung der gewindetrager”,Forschung,7,299–305 (1936).
Goodier, J.N., “The Distribution of Load on the Threads of Screws”,Trans. ASME,62,A10-A16 (1940).
Hetenyi, M., “A Photoelastic Study of Bolt and Nut Fastenings”,Trans. ASME,65,A93-A100 (1943).
Sopwith, D.G., “The Distribution of Load in Screw Threads”,Proc. IME,159,373–383 (1948).
Wustenberg, D., “Spannungsverteilung und festigkeitsbeurteilung an einem neuen Verschlus fur hochdruckgefasse”,Konstruction,25 (9)333–338 (1973).
Motosh, N., “Load Distribution on Threads of Titanium Tension Nuts and Steel Bolts”,J. Eng. Ind., Trans. ASME,97B,162–166 (1975).
Kenny, B. andPatterson, E.A., “Load and Stress Distribution in Screw Threads”,Experimental Mechanics,25,208–213 (1985).
Brutti, C. and D’Eramo, M., “Methods to Evaluate Load Distribution in Screw Threads”, Proc. IIth Can. Conf. on Appl. Mech., Edmonton, A74–75 (1987).
Brutti, C. and D’Eramo, M., “Comportamento elastoplastico di collegamenti filettati”, XVI Conv. Nat. A.I.A.S. (in Italian), 53–65 (1988).
Patterson, E.A. andKenny, B., “A Modification to the Theory for the Load Distribution in Conventional Nuts and Bolts”,J. Strain Analysis,21 (1),17–23 (1986).
Brutti, C. andD’Eramo, M., “Distribuzione di carico in un collegamento filettato sollecitato a flessione”,Ingegneria, (in Italian), (5–6),139–144 (1984).
Sato, T., et al., “Finite Element Analysis and Fatigue Evaluation of the Threaded Marine Riser Connector”,J. Energy Resources Tech., Trans. ASME,110,85–92 (1988).
Stoeckley, E.E. andMacke, H.J., “Effect of Taper on Screw Thread Load Distribution”,Trans. ASME,74,103–112 (1952).
Seika, M. et al., “Measurement of Stress Concentration in Threaded Connections”,Bul. JSME,17,1151–1156 (1974).
Doniselli, C. and Mondina, A., “Influence of Shape on Stress Concentration in Threaded Connections”, Proc. 6th Can. Conf. of Appl. Mech., Vancouver, 317–318 (1977).
Kenny, B. andPatterson, E.A., “Stress Analysis of Some Nut-bolt Connections with Modification to the Nut Thread Form”,J. Strain Analysis,20,35–40 (1985).
Patterson, E.A. andKenny, B., “The Optimization of the Design of Nuts with Partly Tapered Threads”,J. Strain Analysis,21,77–84 (1986).
Kenny, B. and Patterson, E.A., “New Design of Nut Redistributes Axial Load”, Des. Eng., 30–36 (June 1986).
Patterson, E.A. andKenny, B., “Stress Analysis of Some Nut-bolt Connections with Modifications to the External Shape of the Nut”,J. Strain Analysis,22,187–193 (1987).
ABACUS-User Manual, Rel. 4.5, Hibbit, Sorensen Inc. (1985).
Timoshenko, S.P. and Woinosky-Krieger, S., Theory of Plates and Shells, McGraw Hill, 466–474 (1987).
Stein, P.K., “Adhesives: How They Determine and Limit Strain Gage Performances”, Semiconductor and Conventional Strain Gages, Academic Press (1962).
“Errors Due to Transverse Sensitivity in Strain Gages” Experimental Techniques,7 (1),30–35 and 7 (4), (1983).
Perry, C.C., “Data Reduction Algorithms for Strain-gage Rosette Measurements”,Experimental Techniques,13 (5),13–18 (1989).
Cappa, P., “Uncertainty Associated with the Gage Factor in Three-element Strain-gage-rosette Measurements”,Experimental Mechanics,27 (4),429–431 (1987).
Cappa, P., “Determinazione del campo di incertezza associato alle tensioni principali calcolate mediante rosette estensimetriche”, XV Conv. Naz. A.I.A.S., (in Italian), 185–193 (1987).
Hines, F., “Effect of Mounting Surface Curvature on the Temperature Coefficient of Bonded Resistance Strain Gages”, Baldwin-Lima-Hamilton Corp. Bul. (Nov. 1960).
Hines, F., “Surface Curvature Effects on Apparent Strain”, Proc. West. Reg. Strain Gage Comm. SEM (Nov. 1960).
Hoffman, K., “How to Avoid or Minimize Errors in Strain Gage Measurements”, Hottinger Baldwin Messtechnik (1978).
Perry, C.C. and Lissner, H.R., The Strain Gage Primer, McGraw Hill (1962).
Chalmers, G.F., “Materials, Construction, Performance and Characteristics”, Strain Gauge Technology, Applied Science Publishers (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
D’Eramo, M., Cappa, P. An experimental validation of load distribution in screw threads. Experimental Mechanics 31, 70–75 (1991). https://doi.org/10.1007/BF02325727
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02325727