Volume 2, Issue 3 (May 1974)

    A Critical Assessment of the Cantilever Beam Method for the Determination of Dynamic Young's Modulus

    CODEN: JTEOAD

      Format Pages Price  
    PDF 8 $25   ADD TO CART


    Abstract

    The application of a noncontacting optical transducer for the measurement of flexural resonant frequencies and normal mode shapes of a cantilever beam is described. Results on the resonant frequencies of cantilever beams, gripped at the fixed end by a vise, are compared with the Bernoulli-Euler and Timoshenko beam theories. Although the mode shapes agree well with the theories, there are large discrepancies between the experimental variation of resonant frequency with inverse slenderness ratio and that predicted by the theories. These discrepancies are attributed to imperfect clamping. It is concluded that for accurate Young's modulus calculations from the measured resonant frequencies of cantilever beams, tests must be restricted to long slender beams. For beams which cannot be fabricated to meet this criterion, an empirical method is presented which yields Young's modulus to within ±3 percent on the specimens tested. For increased accuracy the free-free reasonant beam method should be used.


    Author Information:

    Rosinger, HE
    Assistant research officer and associate research officer, Materials Science Branch, Atomic Energy of Canada Ltd., Whiteshell Nuclear Research Establishment, Pinawa, Manitoba

    Ritchie, IG
    Assistant research officer and associate research officer, Materials Science Branch, Atomic Energy of Canada Ltd., Whiteshell Nuclear Research Establishment, Pinawa, Manitoba


    Stock #: JTE10089J

    ISSN: 0090-3973

    DOI: 10.1520/JTE10089J

    ASTM International is a member of CrossRef.

    Author
    Title A Critical Assessment of the Cantilever Beam Method for the Determination of Dynamic Young's Modulus
    Symposium , 0000-00-00
    Committee E28