Shape Effect of Thin Strip on its Young's Modulus Measured by the Vibration Method

Abstract

This paper suggests that some suitable shapes of a thin strip should be chosen when the Young's modulus E is measured by the lateral vibration of a cantilever. The increase in length of strip will cause, at last, the lateral buckling by the weight of itself, on the other hand, the shorter in length, the nearer to a rectangular plate. For the cases above mentioned, the frequencies of strip deviate from the value expected as a cantilever. The experiments are carried out by varying the length of strip from 1 cm to 30 cm by 1 cm step, the thickness being kept constant. As the result of experiments, it can be concluded that the suitable range has been found between l/b=10 and 20, where l and b denote the length and width of the cantilever respectively. The difference of the value E by the order of vibrations shown by Dr. Bock cannot be recognized in the author's experiments.