Simulation of internal forces in beams using dynamic GeoGebra software applied to teaching
DOI:
https://doi.org/10.23925/2237-9657.2024.v13i2p048-061Keywords:
beams, internal forces, GeoGebraAbstract
In this work a didactic proposal is presented for the study of internal forces in simply supported beams using dynamic software simulations with GeoGebra as a technological tool.. The proposal is based on the design of two applets that replicate two beam models. The first model consists of a simply supported beam with a cantilever and point loads, while the second model consists of a simply supported beam with two cantilevers and a uniform load along the entire length of the beam. In the graphical view of each of the applets, internal force diagrams for different load configurations and spans can be visualized. These configurations can be modified using the software's tools. The activities designed for students would enable them to observe variations in the force diagrams along the beam, particularly at different sections and supports. Additionally, they can explore the mathematical relationships between external loads and internal force diagrams. The students who participated in the experience did not show difficulties in grasping and qualitatively describing, based on dynamic models and their graphical and diagrammatic representations, the responses of a beam to changes in its load system and geometry. They demonstrated moderate difficulties when they had to establish relationships by combining qualitative aspects with quantitative ones.
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