An Innovative Own-Weight Cantilever Method for Measuring Young’s Modulus in Flexible Thin Materials Based on Large Deflections

Abstract:

This report deals with an innovative method (Own-Weight Cantilever Method) to measure Young’s modulus of flexible thin materials. A newly developed method is based on the large deformation theory considering large deformation behaviors due to own-weight in flexible thin materials. Analytical solutions are derived by using Bessel Functions. By means of measuring the horizontal displacement or the vertical displacement at a free end of a cantilever, Young’s modulus can be easily obtained for various flexible thin and long materials. Measurements were carried out on a piano wire. The results confirm that the new method is suitable for flexible thin wires.

• Periodical: Applied Mechanics and Materials (Volumes 24-25)
• Pages: 371-377
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.24-25.371
• Online since: June 2010
• Authors: Atsumi Ohtsuki
• Keywords: Cantilever, Large Deflection, Material Testing, Mechanical Property, Own-Weight Deformation, Thin Material, Young's Modulus

References

[1] A. Ohtsuki: Proceedings of the 4th International Conference on Advances in Experimental Mechanics, 3-4, 53-58 (2005).

[2] A. Ohtsuki and H. Takada: Transactions of Japan Society for Spring Research, 47, 27-31 (2002).

[3] A. Ohtsuki: Proceedings of the 2005 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, Section 72, 113(1)-113(8) (2005) [CD-ROM].

[4] A. Ohtsuki: Advances in Experimental Mechanics V(5th BSSM 2007), 195-200 (2007).

[5] A. Ohtsuki: Thin-Walled Structures (5th ICTWS 2008), 189-196 (2008).

[6] A.E.H. Love: A treatise on the mathematical theory of elasticity, Dover Pub., 399-412(1944).

[7] S.P. Timoshenko and J.M. Gere: Theory of elasticity, McGrawHill, 76-82(1961).