预应力钢-混凝土连续组合梁的挠度研究

将连续梁分解成有端弯矩作用的简支梁,对简支梁沿界面分离成有界面力作用的钢梁和混凝土梁,假定界面力为沿切向和法向的任意分布函数,建立分离体在界面力和外荷载作用下的弯矩、轴力方程。根据分离体挠曲变形协调,导出界面切向力与法向力关系方程,联立连接件的剪力滑移物理方程,解得界面力及滑移分布函数。以连续梁内支座截面两侧的滑移应变及挠曲线的二阶导数相等为补充边界条件,求得考虑界面滑移的连续组合梁挠曲线方程理论解。

Study on Deformation of Continuous Prestressed Steel-concrete Composite Beams

To obtain the theoretical value of deformation,continuous beams were decomposed into simple beams with end moment,and then the simple beams were further divided into concrete and steel beams with forces along the interfaces.Based on the assumption that interface forces in tangential and normal direction were both of random distribution,the equations of moment and axial force under external and interface forces of the separated units were constituted.According to deformation compatibility of the separated units,the relationship of interface forces in tangential and normal directions was obtained.Then distributing functions of interface force and slippage were gained by combing the shear force- slip relationship with the above equations.Furthermore,considering the boundary conditions that the two rank derivatives of strain and deformation at sections adjacent to the internal supports are both zero,ideal solution of deformation equation of continuous composite beams considering interface slip was achieved at last.