Curved beam structures have been widely used in mechanical and architectural structures and other fields because of their high strength-to-weight ratio. This paper considers the strain distribution of a welded curved beam structure under the in-plane force pre-bending. First, a constitutive relationship is obtained based on tensile test of wall of the curved beam structure. Second, the strain distribution of the pre-bending curved plate is theoretically analyzed and experimentally verified as the initial strain. Subsequently, the theoretical and experimental strain distribution under the action of plane load is applied to the plane curved beam by solid mechanics, finite element, higher-order plane element, and experimental verification analysis. Third, a mathematical expression of strain on the upper and lower plates of the curved beam structure and curved plates on both sides, considering the pre-bending action under in-plane load, is established. Fourth, we establish the residual stress model of curved beam structure under welding action and analyze the strain distribution under the welding action on the section. Finally, we obtain the strain distribution of the curved beam structure under the influence of the curvature change. This study provides a theoretical- and engineering-based approach for analyzing the mechanical properties of curved beam structures.

弯曲梁结构具有很高的强度重量比，因此已广泛用于机械和建筑结构以及其他领域。本文考虑了平面内力预弯曲作用下焊接弯曲梁结构的应变分布。首先，基于弯曲梁结构的壁的拉伸试验获得本构关系。其次，对预弯曲弯曲板的应变分布进行了理论分析，并通过实验验证为初始应变。随后，通过固体力学，有限元，高阶平面单元和实验验证分析，将平面载荷作用下的理论和实验应变分布应用于平面弯曲梁。第三，建立了考虑面内载荷作用下预弯作用的曲梁结构上下板以及两侧弯板应变的数学表达式。第四，建立了弯梁结构在焊接作用下的残余应力模型，并分析了截面在焊接作用下的应变分布。最后，我们获得了曲率变化影响下弯曲梁结构的应变分布。这项研究提供了一种基于理论和工程的方法来分析弯曲梁结构的力学性能。建立了弯梁结构在焊接作用下的残余应力模型，并分析了截面在焊接作用下的应变分布。最后，我们获得了曲率变化影响下弯曲梁结构的应变分布。这项研究提供了一种基于理论和工程的方法来分析弯曲梁结构的力学性能。建立了弯梁结构在焊接作用下的残余应力模型，并分析了截面在焊接作用下的应变分布。最后，我们获得了曲率变化影响下弯曲梁结构的应变分布。这项研究提供了一种基于理论和工程的方法来分析弯曲梁结构的力学性能。