【摘要】 钢绞线在斜拉索、预应力混凝土以及空间网架结构等工程中应用广泛。给出钢绞线沿轴向的等效抗拉弹性模量计算式，对计算悬链线在轴向力作用下的变形量、确定悬链线垂弧至关重要。现行钢绞线弹性模量计算式仅考虑钢绞线中钢丝的轴向变形，适用于小捻角钢绞线等效弹性模量的计算；当钢绞线捻角较大时，现行计算式结果与有限元结果误差较大。基于能量法，同时考虑钢绞线受拉时钢丝的拉伸变形、扭转变形、剪切变形和弯曲变形，推导出钢绞线新的宏观（等效）弹性模量表达式。该表达式能准确计算任意捻角钢绞线的弹性模量，计算结果与有限元分析结果一致。研究成果丰富了钢绞线宏观弹性模量分析的理论基础，为实际工程应用提供更有效的计算表达式。更多还原

【Abstract】 Steel strands are widely used in projects such as stay cables, prestressed concrete, and space grid structures. Establishing a calculation formula for the equivalent tensile elastic modulus of steel strand along the axial direction was crucial for calculating the deformation of the catenary under axial force and determining its sag. The current calculation formula of the elastic modulus of the steel strand only considered the axial deformation of the steel wires in the steel strand, and it is applicable to the calculation of the equivalent elastic modulus of the steel strand with a small lay angle. When the lay angle of the steel strand was large, a significant discrepancy existed between the result of the current calculation formula and the finite element result. Based on the energy method, simultaneously considering the tensile deformation, torsional deformation, shear deformation, and bending deformation of the steel wires when the steel strand was under tension, a new expression of the macroscopic(equivalent) elastic modulus of the steel strand was derived. This expression could accurately calculate the elastic modulus of the steel strand with any lay angle, and the calculation results were consistent with the finite element analysis result. The research achievements enriched the theoretical basis for the analysis of the macroscopic elastic modulus of the steel strands and provided a more effective calculation expression for practical engineering applications.更多还原