Tridynamics is a nonlocal approach to describe lower-scale multi-body interactions at the macroscopic level. Although such a description is sometimes crucial to model the response of a body (for instance carbon nanotube), the computational cost might be very high in the analysis of large structures. Therefore the introduction of basic elements such as beam and plate in this framework could significantly reduce the computational cost. Through this study, we present a set of meaningful and physical quantities that explain the deformation of the beam in this framework. However, the introduced quantities have the potential in describing the variation of field variable in other mechanical problems such as thermal problems. Starting from the kinematic of the beam, a tridynamics beam model (with no restriction on the height of the beam) is developed by using the Lagrangian of the system. The nonlocal parameters are calibrated by carrying out the material correspondences with the classical equations. To see the credibility of the model, a dispersion analysis from low to high wave numbers is performed, and the results are compared with the local and nonlocal models available in the literature.

三动力学是一种在宏观层面描述低尺度多体相互作用的非局部方法。尽管这种描述有时对于模拟物体（例如碳纳米管）的响应至关重要，但在分析大型结构时计算成本可能非常高。因此，在该框架中引入梁和板等基本元素可以显着降低计算成本。通过这项研究，我们提出了一组有意义的物理量来解释该框架中梁的变形。然而，引入的量有可能描述其他机械问题（如热问题）中场变量的变化。从梁的运动学开始，使用系统的拉格朗日函数开发了一个三动力学梁模型（对梁的高度没有限制）。通过与经典方程进行材料对应来校准非局部参数。为了查看模型的可信度，进行了从低波数到高波数的色散分析，并将结果与​​文献中可用的局部和非局部模型进行了比较。