Euler-Bernoulli beam theory is a fundamental subject in structural engineering education, as it characterizes the quintessence of a bending phenomenon. Since this theory relies on assumptions, we generally use finite element analysis when it comes to predicting the physical behavior of a real beam. However, finite element analysis is cumbersome for engineering education because it is not conducive to real-time or repetitive analyses during a lecture. To address this difficulty, we propose to exploit a certified reduced basis analysis to produce a real-time, high-fidelity beam model for engineering education. For demonstration, we construct two three-dimensional, square cross-sectional beam models with certified reduced basis analysis and compare them to the corresponding finite element beam models in terms of accuracy and efficiency. A comparative study shows that the certified reduced basis beam models permit actual errors and runtimes less than 0.1 % and 0.003 seconds, respectively, on average. As a result, we believe that the certified reduced basis beam models are compelling alternatives to their finite element counterparts and would greatly enhance engineering education.

欧拉-伯努利梁理论是结构工程教育中的基础学科，因为它表征了弯曲现象的精髓。由于该理论依赖于假设，因此在预测真实梁的物理行为时，我们通常使用有限元分析。但是，有限元分析对于工程教育来说是繁琐的，因为它不利于在讲座期间进行实时或重复分析。为了解决这个困难，我们建议利用经过认证的简化基础分析来生成用于工程教育的实时、高保真光束模型。为了演示，我们构建了两个经过认证的简化基础分析的三维方形横截面梁模型，并将它们与相应的有限元梁模型在精度和效率方面进行了比较。一项比较研究表明，经认证的简化基础波束模型允许实际误差和运行时间分别平均低于 0.1% 和 0.003 秒。因此，我们相信经过认证的简化基础梁模型是有限元模型的引人注目的替代品，并将极大地加强工程教育。