Elasticity is an important interface between physics and engineering, encompassing a wealth of mathematical tools and physical concepts, which is of great significance for students to solidify their theoretical foundation and enhance their practical abilities. This paper focuses on the bending problem of beams and elaborates on the construction of Timoshenko beam theory from the perspective of the basic equations of elasticity. The deflection equation is solved by combining the Green's function method and the Laplace transform. A cantilever beam teaching model constructed with dry spaghetti and a 3D-printed support is used. By calculating the deflection curve and simulating the strain field, and comparing the results with experimental measurements, the effectiveness of the theoretical model and numerical methods is verified. This study integrates theoretical models, numerical calculations, simulation modeling, and experimental measurements deeply, and can provide an inspiring teaching case for experimental teaching in physics and engineering courses in colleges and universities.
Yue et al. (Mon,) studied this question.