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TECHNICAL PAPERS

Contact Stresses in Multilayered Strands Under Tension and Torsion

[+] Author and Article Information
K. Kumar

Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, India

J. Botsis

Laboratory of Applied Mechanics And Reliability Analysis, Swiss Federal Institute of Technology, Lausanne, Switzerland

J. Appl. Mech 68(3), 432-440 (Feb 24, 2000) (9 pages) doi:10.1115/1.1355777 History: Received July 12, 1999; Revised February 24, 2000
Copyright © 2001 by ASME
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References

Costello,  G. A., 1978, “Analytical Investigation of Wire Rope,” ASME Appl. Mech. Rev., 31, pp. 897–900.
Kumar,  K., and Cochran,  J. E., 1987, “Closed-Form Analysis for Elastic Deformations of Multilayered Strands,” ASME J. Appl. Mech., 54, pp. 898–903.
Costello,  G. A., and Phillips,  J. W., 1973, “Contact Stresses in Thin Twisted Rods,” ASME J. Appl. Mech., 40, pp. 629–630.
Costello,  G. A., and Phillips,  J. W., 1974, “A More Exact Theory for Twisted Wire Cables,” ASCE J. Eng. Mech., 100, pp. 1096–1099.
Costello,  G. A., and Phillips,  J. W., 1976, “Effective Modulus of Twisted Wire Cables,” ASCE J. Eng. Mech., 102, pp. 171–181.
Velinsky,  S. A., Anderson,  G. L., and Costello,  G. A., 1984, “Wire Rope With Complex Cross Sections,” ASCE J. Eng. Mech., 110, pp. 380–391.
Phillips,  J. W., and Costello,  G. A., 1985, “Analysis of Wire Ropes With Internal Wire-Rope Cores,” ASME J. Appl. Mech., 52, pp. 510–516.
Jiang,  W. G., Yao,  M. S., and Walton,  J. M., 1999, “A Concise Finite Element Model for Simple Straight Wire Rope Strand,” Int. J. Mech. Sci., 41, pp. 143–161.
Utting,  W. S., and Jones,  N., 1987, “The Response of Wire Rope Strands to Axial Tensile Loads—Part I: Experimental Results and Theoretical Predictions,” Int. J. Mech. Sci., 29, pp. 605–619.
Utting,  W. S., and Jones,  N., 1987, “The Response of Wire Rope Strands to Axial Tensile Loads—Part II: Comparison of Experimental Results and Theoretical Predictions,” Int. J. Mech. Sci., 29, pp. 621–636.
Kumar,  K., and Cochran,  J. E., 1990, “Analytical Estimation for Static Elastic Deformations of Wire Ropes with Fibrous Core,” ASME J. Appl. Mech., 57, pp. 1000–1003.
Kumar,  K., Cochran,  J. E., and Cutchins,  M. A., 1997, “Contact Stresses in Cables due to Tension and Torsion,” ASME J. Appl. Mech., 64, pp. 935–939.
Costello, G. A., 1999, Theory of Wire Rope, Second ed., Springer-Verlag, New York, pp. 110–111.
Vygodsky, M., 1975, Mathematical Handbook, pp. 514–534, (translated from Russian by G. Yankovsky).
Seely, S. B., and Smith, J. O., 1963, Advanced Mechanics of Materials, John Wiley and Sons, New York, pp. 342–378.
Gradshteyn, I. S., and Ryzhik, I. M., 1994, Tables of Integrals, Series and Products, 5th ed., Academic Press, San Diego, CA, pp. 907–910, (translated from Russian by Scripta Technical Inc.).

Figures

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Load-deformation curve obtained through simple tension test
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Torque-deformation curve obtained through simple torsion test
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Stresses and deflections between two bodies in contact at a point (15)
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Effect of α on dimensionless contact stresses
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Prediction of the ratio (σnomnom) for zero critical stresses and for rotation-constrained case
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Variation of critical stresses as influenced by nominal tensile stress
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(a) Force-displacement plot obtained through combined tension and torsion test, (b) torque-angle plot obtained through combined tension and torsion test
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Schematic diagram showing test specimen along with the cable cross section

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