In this study, an accurate 1D finite element model with low degrees of freedom (DOFs) is presented for the static extensional-shearing-bending analysis of curved thin-walled beams. In order to incorporate the nonclassical effects like transverse shear flexibility in the formulation, the concept of equivalent layered composite cross section (ELCS) is employed. Based on this new concept, the cross section of a thin-walled beam is replaced with an equivalent layered composite one. A global–local layered beam theory is employed to describe the displacement fields of the curved beams. A curved beam finite element with three nodes and 13 DOFs is developed for the approximation of the unknown variables of the displacement fields. For validation of the proposed model, the results of 1 D models of other researchers as well as the results of the 2D/3D finite element simulations (ABAQUS) are employed. Needlessness to the shear correction factor, satisfaction of zero-conditions of shear stresses on the upper and lower planes of the curved beam, high accuracy in the prediction of structural responses, and significant reduction in the time of computations are some of distinct features of the proposed finite element model.

在这项研究中，提出了一种精确的低自由度一维有限元模型，用于弯曲薄壁梁的静态拉伸剪切弯曲分析。为了在配方中纳入非经典效果，例如横向剪切挠性，采用了等效层状复合截面（ELCS）的概念。基于这一新概念，薄壁梁的横截面被等效的分层复合材料所替代。整体局部分层梁理论被用来描述弯曲梁的位移场。开发了具有三个节点和13个自由度的弯曲梁有限元，用于逼近位移场的未知变量。为了验证建议的模型，使用其他研究人员的一维模型的结果以及2D / 3D有限元模拟（ABAQUS）的结果。剪力校正因子的必要性，弯曲梁上下平面上剪应力的零条件的满足，结构响应的预测精度高以及计算时间的显着减少是该方法的一些明显特征。提出的有限元模型。