論文
はりの大たわみの近似式に基づくヤング率測定法（片持ちはりおよび3点曲げの場合）
2020 年 2020 巻 65 号 p. 43-50
詳細
2020 年 2020 巻 65 号 p. 43-50
A measurement method is established to determine the elastic modulus of slender, flexible beams when they are subjected to the large deflections. Specifically, the deflections of cantilever beam and simply supported beam is used to determine the modulus of elasticity, Young's modulus. Present method is based on approximate formulas for the nonlinear relation between deflection and load under large deflection. By using the approximate formulas, we can easily obtain the dimensionless load parameters corresponding to the deflection without employing elliptical functions. The approach is validated with experiments using a steel piano wire. While this approximation formulas are easy to use and simple, it has high-precise approximation to the exact solution, consisting from elliptic integrals. Present method is also applicable to flexible thin plates and extremely delicate materials in order to obtain a quick estimate of the material's elastic modulus.
