3-Point Bending of Bars and Rods Made of Materials Obeying a Ramberg-Osgood Criterion
José Luis Lanzagorta, Antonio Martín-Meizoso
DOI: 10.4236/wjm.2011.13010   PDF   HTML   XML   8,598 Downloads   15,801 Views   Citations


Equations are derived for the non-linear bending of cantilever and 3-point bending of beams (with a non uniform moment distribution along its length) made of materials described according to Ramberg-Osgood behaviour (including and elastic and a plastic term with a hardening exponent). Moment for plastic collapse is also computed.

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J. Lanzagorta and A. Martín-Meizoso, "3-Point Bending of Bars and Rods Made of Materials Obeying a Ramberg-Osgood Criterion," World Journal of Mechanics, Vol. 1 No. 3, 2011, pp. 71-77. doi: 10.4236/wjm.2011.13010.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. L. Lazagorta and A. Martín-Meizoso, “Non-Linear Bending of Rectangular and Circular Cross-Section Beams,” Under publication.
[2] J. H. Hollomon, “Tensile Deformation,” Transaction of American Institute of Mining, Metallurgical and Petroleum Engineers, Vol. 162, 1945, p. 268.
[3] W. Ramberg and W. R. Osgood, “Description of Stress- Strain Curves by Three Parameters,” Technical Note No. 902, National Advisory Committee for Aeronautics, Washington D.C., 1943.
[4] H. E. Boyer, “Atlas of Stress-Strain Curves,” American Society for Metals, Ohio, 1988.
[5] A. Considère, Ann Ponts Chaussee, Vol. 9, 1885, p. 574.
[6] J. E. Gere and S. P. Timoshenko, “Mechanics of Materials,” 2nd Edition, PWS Publishers, Boston, 1986.
[7] F. P. Beer, E. R. Johnston Jr. and J. T. DeWolf, “Mechanics of Materials,” 4th Edition, McGraw-Hill, Boston, 2006.
[8] W. C. Young, “Roark’s Formulas for Stress & Strain,” 6th Edition, McGraw-Hill, Boston, 1989.
[9] W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, “Numerical Recipes. The Art of Scientific Computing,” Cambridge University Press, Cambridge, 1986.
[10] H. Hertz, “über die Berürung Fester Elastischer K?rper,” Journal für die Reine und Angewandte Mathematik, Vol. 92, 1881, p. 156.
[11] J. E. Shigley and C. R. Mischke, Mechanical Engineering Design, 5th Edition, McGraw-Hill, Boston, 1989.

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