Approximate Method for the Determination of the Bending Strength Geometry Factor for External Spur and Helical Gear Teeth

[+] Author and Article Information
J. I. Pedrero

UNED, ETSI Industriales, Apdo. 60149, 28080 Madrid, Spain

A. Fuentes, M. Estrems

Universidad Politécnica de Cartagena, ETSI Industriales, PO Alfonso XIII-44, 30203 Cartagena, Murcia, Spain

J. Mech. Des 122(3), 331-336 (Aug 01, 1999) (6 pages) doi:10.1115/1.1287508 History: Received August 01, 1999
Copyright © 2000 by ASME
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Lewis, W., 1893, “Investigation of the Strength of Gear Teeth,” Proc. of the Engineers Club, Philadelphia, PA, pp. 16–23.
AGMA Information Sheet 908-B89, 1989, Geometry Factors for Determining the Pitting Resistance and Bending Strength of Spur, Helical and Herringbone Gear Teeth, American Gear Manufacturers Association, Alexandria, VA.
Pedrero, J. I., Garcia-Masiá, C., and Fuentes, A., 1997, “On the Location of the Tooth Critical Section for the Determination of the AGMA J-Factor,” AGMA Paper No. 97FTM6.
Mitchiner,  R. G., and Mabie,  H. H., 1982, “The Determination of the Lewis Form Factor and the AGMA Geometry Factor J for External Spur Gear Teeth,” ASME J. Mech. Des., 104, pp. 148–158.
Errichello,  R., 1979, “Calc Program Finds Inverse of an Involute,” Mach. Des., 51, No. 5, p. 80.
Errichello, R., 1981, “An Efficient Algorithm for Obtaining the Gear Strength Geometry Factor on a Programmable Calculator,” AGMA Paper No. P139.03.
Errichello, R., 1983, “An Efficient Algorithm for Obtaining the Gear Strength Geometry Factor for Shaper Cut Gears,” AGMA Paper No. P139.05.
Li,  X., Symmons,  G. R., and Cockerham,  G., 1996, “Optimal Design of Involute Profile Helical Gears,” Mech. Mach. Theory, 31, pp. 717–728.
Artés,  M., and Pedrero,  J. I., 1994, “Computerized Graphic Method for the Analysis of Gear Design,” Mech. Mach. Theory, 29, pp. 59–71.
Carroll,  R. K., and Johnson,  G. E., 1988, “Approximate Equations for the AGMA J-Factor,” Mech. Mach. Theory, 23, pp. 449–450.
Wellauer,  E. J., and Seireg,  A., 1960, “Bending Strength of Gear Teeth by Cantilever Plate Theory,” J. Eng. Ind., 82, pp. 213–222.
Dolan, T. J., and Broghamer, E. L., 1942, “A Photoelastic Study of the Stresses in Gear Tooth Fillets,” University of Illinois, Engineering Experiment Station Bulletin 335.
Mabie,  H. H., Rogers,  C. A., and Reinholtz,  C. F., 1990, “Design of Nonstandard Spur Gears Cut by a Hob,” Mech. Mach. Theory, 25, pp. 635–644.


Grahic Jump Location
Load radius at the highest point of single tooth contact
Grahic Jump Location
Critical section parameter αn for ϕn=25 deg, rf=0.3,a=1,ha0=1.25
Grahic Jump Location
Approximation of angle Δγ




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